ERD

Te AA bevy UHEDN EM EEEVENER ESE savnancnacintea Fb ry edetnemren Steerer meceres sree TayeeH TER

|Pee wen heatzonn rece negeiadnners cetera PENH haga yeNUPIni aretscupayeenomnms nyRR eeeNan eeNt yse Ro AETRn DFFENNy

: le UNITED STATES NAVY DEPARTMENT

L

HYDROGRAPHIC OFFICE

Lanne rece

apeipint

meer beeworseningbetvegenntayasus eve POSMVERASRREAT ED

‘

We

FTE OD AW,

The following two cases, illustrate the method of working problems with these

tables. Case I covers the majority of problems. Sometimes, however,it will

be necessary to use Case II.

i

i

Case I (L. H. A. between 0° and 90°, or 270° and 360°)

The U.S. S. West Virginia is making

video. At about 1650, on March 26,

f3o1l°low0s4:’

.W7atSc.,h

longitude 49° 35’ 45 52™ 278; C-W

.7 W. 2 47™

observed altitude 18° 16.5’. Required

passage from the United 1928, she was in D. R.
At this time the sun 17s; chronometer slow the line of position.

States to Monteposition, latitude was observed as 12™ 28°; corerdected

hm

8

Se ee ae a Se ee ee 4 52-27

CaWie eee

2 47 17

@hronifaees. ts . 7 39 44

CONC aay Fy ST

(+)12 28

G. C. T. 26 March__.- 19 52 12

Pre.

ee ee (—)5 41.1

GAGE Dy ah2a oR Ei 19 46 30.9 SubiractWeoFsese! 12

b, takes the same name as the latitude.

Ce WA ee eo ae =7 46 30.9 W.
CARYGlee ce bee iets ereee RYO oe — Gero vane
Assumed long... (—)49 37.7 W.

MELA 2 ees a ee sa ge 67°

Toosiey

2221 ONE

ols

633 02.158.

A 21159

C 103

Z’ 39.55

d+630 41.1’

B 29216

D 227

Z’"’ 65.02

% h,18° 16. 2’ h,1i8 165

A+B 50375 | C+D 330

Z 104.5 S. and W.

a=0. 3’ towards.

Case Il (L. H. A. between 90° and 270°)

On May 15, 1928, about 8 p. m. the U.S. 8. Mississippi making passage from Hampton Roads to Liverpool, while in D. R. position 40° 43’ N., 68° 30’ W., observed the star Vega as follows: W 75 86™ 12; C-W 45 59™ 128; chron. 1= 15 slow. ‘True alt. 14° 50.5’.

bm

8

h m

8

NR A DIE C tae ROOM Mes5 al

or, G. C. T. 16 May

0 36 25

OV eco Se epUA) a oa 4 59 12

c

Sees

heron Facess ooo 12 35 24

-—_————

G.H. A.16 May 314° 49/6

Corr. 0 36™

9 01.5

C. CcSremh ahah ig aM os are cide Tuk te Cr) 1 01

MRGGTnEgNisG: MGaay ro-eo.o)-: 150 3363 2495.7

OTe Gre Crepe byes te

6.0

Corr. 258
G. H. A.

6.3
3s2o3a 57n.e4 W.

as Fle Sp

16 10 20.7

b, takes the opposite name to the lati-

ey Aegis 6 oo oe

18 34 31.3

tude and d+ 6 is always subtracted.

US IE Me a"saa

SSS SSS

Z, is always obtained by subtraction.

21 35 49.4 W.

Oran cer teesPoo 8=323° 57.4’ W.

Wessun long. 222.2 (—)68 57.4 W.

IGeel (ery),re eer By An ioe 255°

Majetree ecco Mu

180

W. (cr 105° E.). (illustrates note 13 6).

LEE

1 a A

is)

ae

BSovaz7" Ne

L..41° b16 34.8 S. A 16461

C 137 Z’ (—)22.2°

d+b22 07.9

+B 42396

Dyess 5 Zl" 73.5

9 g

A+B 58857 §C+D 528 Z

51.3 N. and E.

h.14° 56.7’ Aolt 50.5

a=6.2 (away).

CORRECTIONS

BUBBLE SEXTANT TO OBSERVED ALTITUDE
MOON
MOON

OF SUN, STARS, AND

Hor. parallax

Hor. paraliax

SSS Oe

ee

°
5. 5 6. 0 6. 5 7. 0 7.5

56’

58’

60’

|

ee ee

eee OEE

°

/

/

/

¢

46 |+37 |+38 |+40 |+41 AT prob: | otal 10) |, 40 Ashi oom os |) oo.) oo ZA9Nao | 30) |) lot) oo 50} 34, 35] 37] 38

8.0 |+47 |+49 |+51 |+53 || 51 [+33 |4+34 |4+36 |+37

85) 47] 49] 51 53 | 52] 33] 34] 35] 36

9.0] 48} 50] 52); 54] 538] 32] 33) 34] 35

9.5 | 48}. 50 | 52 | 54-54) Si 32 | 34] 35

10

48 | 50] 52) 54] 55] 30] 32] 33) 34

11 +48 |+50 |+52 |4+ 54 || 56 |+30 |4+31 |+32 |+33

12

4

50 | 52. 54 || 57}. 29} 30) 381) 32

13

49; 51 53 | 54 || 58] 28] 29) 30) 31

14

49} 51 53 | 54] 59 | 27 | 28} 29) 30

15

49 | 51 53 | 54) 60; 27] 28, 29); 30

16 +49 |+51 |+53 |+54 || 61 |4+26 |+27 |+28 |4-29

17

49; 51] 52} 541 62] 25) 26] 27) 28

18

48); 50| 52; 54].63 | 24) 25) 26] 27

19

48) 50] 52) 54] 64] 23 | 24) 25| 26

20

48) 50| 52) 54165} 23) 23] 24] 25

21 +48 |+50 |+52 |+54 || 66 |4+-22 |+22 |+23 |+24

22

4

50 | 52]. 538 |.67 | 21 | 22) 22) 23

23

48); 49{ 51} 53 | 68}; 20] 21) 22) 22

24

47 | 49{ 51 53 || 69 TOM S208) eles 2

25

47} 49] 51 | 52 || 70 18 19 | 20; 20

26 27 28 29 } 30

+47 |+48 46 | 48} 46} 48] 46, 47| 45 | 47;

|+50 |+52 |CAE ae lie Var ile). sel) 50] 52 || 72 16 Ui ELS 50] 51 || 73 16 16 | 17 49, 51] 74 15 15 | 16 49 |50 || 75 14 14) 15

j 31 32 33 34
35

+45 |+46 |+48 |+50 || 76 |+13 |+13 |4+14 |414

44) 46] 48) 49 || 77 12 12 ets

44) 46] 47 | 49 | 78 il 12 a

43} 45 |-47} 48 || 79 10 LU et

43 | 44] 46] 48 | 80

9 10; 10

36 +42 |+-44 |+46 |+47 | 81 | +8] +9] +9

37

42 | 44] 45 | 47 | 82

8 8 8

38

41 | 43) 45] 46 ] 83

7 7 7

39

41} 42 | 44) 46 | 84

6

6

6

40

40} 42] 43] 45 || 85

5 5 5

41 +40 |+41 |/+43 |+44 || 86 | +4] +4] +4

42

39 | 41 | 42) 44 | 87

3

3

3

43

39 | 40) 42] 43 | 88

2

2

2

44

38 | 39 | 41] 42 | 89

1 1

1

45 +37 |+39 |+40 |+42 || 90

0

0

0

Note.—This table must not be used for altitudes measured on the horizon.

4O00301ecbS
IANSA A

Corrections to Observed Altitudes of Sun Star or Planet
Table Ill
Table
Table

AVIATOR’S TIME-SPEED-DISTANCE TABLE
Speed in knots or miles per hour

0.7 0.8 1

1.3 aByf 2

2

2.5 3

2.7 3.3 4

3.3 4.2 5

4

5

6

4.7 5.8 7

5.3 6.7 8

6

7.5 9

6.7 8.3} 10

7.3 9

11

8

10

12

chi |p aul

13

9.3 | 12

14

10

12

15

10.7} 18

16

11.3 | 14

17

12

15

18

12.7 | 16

19

13

17

20

14

17

21

15

18

22

15

19

23

16

20

24

17

21

25

17

22

26

18

22

27

19

23

28

19

24

29

20

25

30

21

26

31

21

27

32

22

27

33

23

28

34

23

29

35

24

30

36

25

31

37

25

32

38

26

32

39

27

33

40

27

34

41

28

35

42

29

36

43

29

37

44

30

37

45

31

38

46

31

39

47

32

40

48

33

41

49

33

42

50

34

42

51

35

43

52

35

44= 53

36 “| -45

54

37

46

55

37

46

56

38

47

57

39

48

58

39

49

59

1.2 1.3 2.3 2.5 3.5 3.8 4.7 5 5.8 6.3

7

7.5

8.2 8.8

9.3 | 10

10.5 | 11.3]

11.7} 12.5)

13

14

14

15

15

16

16

18

17

19

19

20

20

21

21

23

22

24

23

25

24

26

26

28

27

29

28

30

29

31

30

33

31

34

32

35

34

36

35

38

36

39

37

40

38

41

39

43

41

44

42

45

43

46

44

48

45

49

46

50

48

51

49

53

50

54

51

55

52

56

53

58

55

59

56

60

57

61

58

63

59

64

60

65

61

66

63

68

64

69

65

70

66

71

67

73

69

74

1.3 1.4 1.5 1.6

2.7 2.8 3.0 3.2

4.0 4.2 4.5 4.7

5.3 5.6] . 6

6.3

6.7 rBul 7.5 7.9

8

8.5

9.3 9.9]

10.7 | i13]

12

13

13.3) 141]

9

9.5

10.5; 111

12

12.6

13.5 | 14.2

15

15.8

15

15.5 | 16.5 | 17

16

17

18

19

17

18

20

21

19

20

21

22

20

21

23

24

21

23

24

25

23

24

26

27

24

25

27

28

25

27

29

30

27

28

30

32

28

30

32

33

29

31

33

35

31

32

35

36

32

34

36

38

33

35

38

40

35

37

39

41

36

38

41

43

37

39

42

44

39

41

44

46

40

42

45

47

41

44

47

49

43

45

48

51

44

47

50

52

45

48

51

54

47

49

53

55

48

51

54

57

49

52

56

58

51

54

57

60

52

55

59

61

53

56

60

63

55

58

62

65

56

59

63

66

57

61

64

68

59

62

66

70

60

63

68

71

61

65

69

73

63

66

71

74

64

68

72

76

65

69

74

77

67

71

75

79

68

72

77

81

69

73

78

82

70

75

80 84

72

76

81

85

73

78

83

87

74

79

84

88

76

80

86

90

77

82

87

92

78

83

89

93

ic

1.8

1.8

3.3

3.5

3.7

5.0

5.3

5.5

6.7

7

7.3

8.3

8.8

9.2

10

10.5 11

11.7 12.3 12.8

13.3 14

14.7

15

15.8 16. 5

17

17.5 18.3

18

19

20

20

21

22

22

23

24

23

25

26

25

26

27

27

28

29

28

30

31

30

32

33

32

33

35

33

35

37

35

37

38

37

39

40

38

40

42

40

42

44

42

44

46

43

46

48

45

47

49

47

49

51

48

51

53

50

53

55

51

54

57

62

53

56

59

64

55

58

60

66

56

60

62

68

58

61

64

70

60

63

66

72

61

65

68

74

63

67

70

76

65

68

71

78

66

70

73

80

68

72

75

82

70

74

77

84

71

75

79

86

73

77

81

88

75

79

82

90

76

81

84

92

78

82

86

94

80

84

88

96

81

86

90

98

83

88

92

100

85

89

93

102

86

91

95

104

88

93

97

106

90

95

99

108

91

96

101

110

93

98

102

112

95

100

104

114

96

102

106

116

98

103

108

118

H. O. No. 208
———

NAVIGATION TABLES

on

tions to

FOR

Observed

Altitudes

MARINERS AND AVIATORS

So

Planet

FIFTH EDITION

Il

DREISONSTOK

Tulle

UNITED STATES

GOVERNMENT PRINTING OFFICE

|

WASHINGTON : 1940

|

|

For sale by the Hydrographic Office, Washington, D. C., also by the Superintendent of Documents, Government Printing

Office, Washington, D.C. - - - - - - - - -

ee ee ere Price $1.20

STATUTES OF AUTHORIZATION
There shall be a hydrographic office attached to the Bureau of Navigation in the Navy Department for the improvement of the means for navigating safely the vessels of the Navy and of the mercantile marine by providing, under the authority of the Secretary of the Navy, accurate and cheap nautical charts, sailing directions, navigators, and manuals of instructions for the use of all vessels of the United States, and for the benefit and use of navigators generally. (R. S. 481.)
The Secretary of the Navy is authorized to cause to be prepared, at the Hydrographic Office attached to the Bureau of Navigation in the Navy Department, maps, charts, and nautical books relating to and required in navigation, and to publish and furnish them to navigators at the cost of printing and paper, and to purchase the plates and copyrights of such existing maps, charts, navigators, sailing directions, and instructions as he may consider necessary, and when he may deem it expedient to do so, and under such regulations and instructions as he may prescribe. (R.S. 432.)
pau

PREFACE

These tables were conceived, and the method and formulas deduced,

by Lieut. Commander J. Y. Dreisonstok, United States Navy, while

a member of the Naval Examining Board, Navy Department, Wash-

ington, D: C. This officer was later attached to the Division of

Nautical Research of the Hydrographic Office, where he completed

the calculations and put them into the present form.

Commander F. H. Roberts, United States Navy, of the Hydro-

graphic Office, contributed valuable suggestions and criticisms in the

preparation and revision of the book.

Acknowledgment is made for the constructive criticisms submitted

by the fleet, the United States Naval Academy, and other sources.

The work of revising the fifth edition-was performed by Mr. Elmer

B. Collins of the Hydrographic Office.

These tables are designed to facilitate the navigation of aircraft

Table

and surface craft. Used with the Nautical Almanac, no other books

are required.

The method of solving navigational problems here given is applied

to all problems regardless of the position of the heavenly body, be it

sun, moon, planet, or star. It requires few figures and gives a quick

solution for determining (a) line of position, (6) compass error, (c)

meridian altitude, (d) Great Circle course and distance, (¢) identifica-

tion of unknown stars. The accuracy of the azimuth data fully

justifies its use in obtaining compass error. The tables are simple to

use.

While a small and handy size is desirable, space is given at the end

of the book to a full explanation of the construction of these tables,

together with numerous problems, in order that an opportunity for

analysis may be afforded those who desire to investigate their sound-

ness and uses.

W. R. GHERARDI,

Rear Admiral, U. S. Navy,

Hydrographer.

Til

Conversion of Time into Are and Vice Versa
°
0 1 2 3 4 5 6 i 8

165 | 175 18+ 194 205

°

°

°

°

°

°

180 |195 |210 225 |240 |255 | 270 | 285 |300 181 |196 |211 226 |241 |256 |271 | 286 | 301 8} 182 |197 |212 | 227 | 242 | 257 | 272 |287 |302

12 |183 ;198 ie 243 |258 | 273 |288 | 303 16 | 184 | 199 : 244 |259 | 274 | 289 | 304 20 |185 |200 | 215 |230 | 245 | 260 | 275 | 290 | 305 | 320 | 335 | 350 ||20

24} 186 |201 |216 28 |187 |202 |217 32 |188 |20|3218

231 |246 |261 |276 | 291 | 306 | 321 | 336 | 351 ||24 232 |247 |262 }277 | 292 | 307 | 322 | 337 | 352 ||28 233 | 248 |263 |278 | 293 | 308 |323 | 338 |353 ||32

20 | 35 | 50
21 |36| 51 22 |37 | 52 23 | 38 | 53

36 | 189 |204 |219 234 |249 |264 |279 | 294 |309 | 324 | 339 |354 ||36] 9 |24} 39 | 54 40 |190 | 205 | 220 235 | 250 |265 |280 | 295 | 310 |325 | 340 | 355 ||40] 10 |25 | 40 | 55 44, 191 |206 |221 236 |251 |266 §281 | 296 |311 | 326 | 341 |356 | 44] 11 |26) 41 |56

48 | 192 |207 | 222 237 |252 |267 | 282 |297 |312 |327 | 342 | 357 ||48 |12 |27 |42 |57

52 7193 | 208 | 223 238 |253 | 268 |283 |298 |313 |328 | 343 |358 ||52] 13 | 28 | 43 | 58

| 209 224

y

314

0. 4 0. 1

0.8

0. 2

1.2

0.3

1.6 014

2. 0 0.5

2.4

0. 6

2.8 0.7

3. 2 0.8

3. 6 0.9

4.0

1.0

oj
a ey
200 250 300 400 500 600 750 800 1, 000 1, 250

Corr
/
13,9 es tae 195 71-9 450) =96"8 oy = —34. 6

Height of
eye “teet)

Corr.
— 38.0 ae —46. 5 —49.0 <5 iat Saat —55. 8 — hee — 60.0 — 62. 0

CORRECTIONS A STAR OR

TO BE OF THE

APPLIED TO THE OBSERVED ALTITUDE OF SUN’S LOWER LIMB, TO FIND THE TRUE

ALTITUDE

Tasite A

TABLE B

| Observed
altitude

Onan

* 1|

Sun’s corr. |Star’s corr.

{

Date

fo)

|

Additional

sun’s corr.

| Correction for height
of eye

6Ba04F0

les r68.f24

|.—

7 ‘ g

9 7

6wo50

88..76

764

7 10

8. 9

Bo)

Jan. 1 | TEMGp ISi Oks

|| eHyeeigh(fteeto)f ilGees
0

Veby rl) Wee Ors

2

Corr
eran 0.ae 0 | =i.ie

pate |0

1 | +02

a) Lt)

7 40

9.7 3ol

6.. 8

| 19)

lo al

4

os 0

78 500

99..56

6@,. 67

Mar. 1 | +0, 2
8 yl ey

5 7 6

—222...246 |

Sal) I spaee | he

8

2.3

88 2300

109.. 08

66..23

Apr. 1

0. 0

9

2.9) 4

88 4500

1M0G. 2

6.
6.

0 1

15

0.0

1101

Sa3 2

Boe 40030 25.9

Bu

|as Ot

1123

3.45

1099 42000 10 20
10 40

1100..56
10. 8
11.0
| +11.2

55..57 55..82
| —5.0

cdx pa eee

Juneue 1 iy kbs 0.2

15:

—0. 2

14

3|.8

1156 Ss3.9t

1187

4ho.d0

LO
1o1pe30

11.3
t11i.57

4APe.a9s

12 3

11.9

4.3

Sulyeg aa ieeyei
LS ives Oe

19

aa

20) Sara

21

4.5 |

22

4.6

tere 12. 0 —4,.1

yb aa

—0. 2

93

47

13 30
MO 1156 00 ep Ole
211089 000
22,70

12, 2

4.0

12.3

3. 8

12. 6 3. 6

12.8

3. 4

css 0: | 28.2 |

111333.. 352

OR3W.Se0) a

|
RHE

les W

2.4 |

15 —0. 2 : ‘ ept. | =) 3
15 | —O1
|
Weyecta Mga t|ele RIG
15 Soa

a4

48

25 —4.9

2267

55..01

28

5.2

29

5. 3

30), |pBat

31

5. 4

32

5.5

PDAeneOme aonma il 2.o2t)o || WeNOv‘ ts Wea Re¢

3334

75. 6

28 0 14. 3 Reet

30 0 14.4

1)

22) 0) 14.6

16 |

is 40.2 sie

35 5,2

37

6.0

34 0 | +147 | -1.4 |

36 0 14.8

1.3

4380) 100 1145..90

o12ye |

45( 5D

0 15.1 Oo |)RS

1.0 Ong.

55 (0

15. 4

0. 7

6650 00

1155.. 56

O0v.e5r ||

70 0

15.7

0.4 |

wo 0 +15.8 | —0.3 |

80 0

15. 8

0. 2

85 0 1B Cre =O |

90 0 | +16.0

OO)

z

i

SB1t5EeAN 1YC0.8Os

:

Al

Bus

43

6. 4

ale ane

47

6.7

4519

67.09

53

ea

5650 7,t3 6

65

9

70

re)

75

8.5

8850 =89..80

90

9.3

95

9. 6

160 =o

Correct.ionsto Observed
ae
of Sun
Star or
Planet
TH a
= (
—
TabIle
ia
> | Tabille
/
=
Expkleanna|
.
Cto:inosntraunc-d
Useof Tables
|
|
| |
| )
| |

CORRECTIONS FOR THE OBSERVED ALTITUDE OF THE MOON

TaBLE C

FOR REFRACTION, PARALLAX, AND SEMIDIAMETER.

LowER Lm. Horizontal Parallax.

LoweER Lis.

Obs.

Horizontal Parallax.

,HNPHNOnOnmOOoMnmeNoec

- 11+68. 3/+69.

,

. O| 68.2) 69. 5) 70.

. 9] 68. 1) 69.3) 70.

. 7] 67.9} 69.2) 70.

. 5| 67. 8) 69. 0} 70.

. 3|1+67. 5]+68. 7]+70.

5, 31456, 2/457. 2145 . 6} 55.5 2 2 By.
. 61452. 5/+53. 41+oorcr . 9} 51. 8} 52. : 1) SI. OF Sie . 3] 50.2) 51. . 5} 49.3] 50. . 7/+48, 5/+49. + . 9| 47.7) 48. . O| 46.9} 47.
O WOO O hP oo»KC K QT Prr HNPRO o WePBI NOwWN OR

| !

etal

Leal

i !

|

OWOUIRSMNANCRNHWOVWPNHNONONIHB!ERHCOO

| bel |
PuCCle NrOaeCONO Ore ReIOOOH

. 81425. . OF 24, . 9} 23. - 9 22. . 9} 21. . 91420. . 9} 19. . 9 18. . 9} 17. . 8+16.
H. E. feet.
| | ei
1)~COAINNORNWIENOIDIOANAIDG

CORRECTIONS FOR THE OBSERVED ALTITUDE OF THE MOON

3

TABLE C

FOR REFRACTION, PARALLAX, AND SEMIDIAMETER

Uprer Linn

UPPER LIMB.

Obs.

Horizontal Parallax.

Obs.

Horizontal Parallax.

——_—$<— |

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Ef

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oo fez) (Jt)bo ow (Jy)(oN) f=) (JX)ow ~J (JX)iss

21.3) 21.7) 22. 1) 22.5) 22.9) 23.3) 23.8) 24
17.8|18.2| 18.5] 18.9| 19.2] 19.6] 19.9|20.3

o Tnnoonnoon
= 13SNHNOM|OAHM3M3.7| 34.4|35.1|25.8| 36. 14 | 338].34. 5]35. 2}35. 9]36 15 | 33.8]34.5]35. 2]35. 9]36
1176 ‘|+3333. . 881|+.3344.. 55/]43355.. 21/|4335.5.981|+3366 18 | 337|.34. 3]35.0} 357.] 36. 19. | 33.5] 34.2] 34.9]35.6] 36 20 =| 33.4]34.0|34.7]35.4] 36 21 14338. 21433. 91434. 51435. 2/435 22 =| 33.0| 33.6|34.3)34.9)35 23 | 32.7|33.4|34.0|34.7|35 24 | 32.5] 33.1] 33.7|34.4]35 25 | 32.2| 32.8] 33.4] 34.1] 34 26 = (+81. 91432. 5/+33. 11433. 71434. 27 «|:315|.32. 1|32.8]33.4] 34 28 | 312|.31. 8] 32.4] 33o.| 33 29 | 30.8] 31. 4]32.0]326.]33 30 | 30.4|31.0] 316].32. 2]32 31 |+30. 01430. 6/431. 21431. 81432 32 | 29.6| 30.1|30.7| 31.3] 31 33 | 29.1|29.7|30.3]30.8] 31 34 | 28,7] 29.2]29.8] 30.3]30. 35 | 28.2}28.7]29.3] 29.8]30. 36 1,27. 7/+28. 21428. 81429. 31429. 37 | 27.2|27.7|28.2|28.s|29 38 | 26.7|27.2|27.7|28.2|28 39 | 26.1] 26.6]271] 27.6] 28 40 | 25. 6| 26.1]26. 6| 27. 1| 27 41 14.25. 0425. 51426. 01:26. 41426. 42 | 24.4|24.9) 25.4]25.8]26. 43 | 23.8|24.3] 24.7| 25.2) 25. 44 | 23,2] 23.6|24.1] 24.6]25. 45 | 22.6| 23.0|23.4]23.9]24.

12.6]12.8}131].13. 3] 136].13.8] 14.1] 14.31 Table 118].12. 0]12.3] 125].12. 7]13.0] 13.2| 13.4 Ill

+1110. .204}-1110..24/|+1110..46/]4111.0.68/]41111..0]9)41121..12/|41121..34/]41121..65)

9.4] 9.6] 9.8]. 9.9] 10.1] 10.3] 10.5] 10.7

8.6] 87] 891 911 92) 941 96 9.7

7.7| 7.91 &0| 8&2) 83] 845 87 8.8

:

+ 6.91+ 7. 01+ 7.24 7.34 7. 54 7. 6+ 7. 7+ 7.9

6.1) 6.2) 6.3) 64) 65} 67| 6.8 6.91 Table

5.2) 5.3! 5.4] 5.5] 35.6] 5.7] 5.8] 5.9

4,3) 4.4] 4.5] 4.6] 47] 438] 4.81 49

I

3.5] 3.5] 3.6] 3.7] 3.8] 38 3.9] 20

+ 2. 6+ 2.7] +2. 7+ 2.814 2.81: 2914 291. 3.0

|

1.7 1.8) 1.8} 1.9) 1.9] 1.9] 20] 2.0

|

+ 0. 91+ O 9+ 0. 9+ 0. 91+ 0. + 1. Ol+ 1. Ol 1.0

Sy

0.0] 0.0} 0.0] 0.0] 0.0] 0.0] 00 0.0

- 0.90.9|--0.9/- 1. 0/- 1. 01- 1.0/- 1.0- 1.0

- 1.8 19-19-19) 1.9 20-20-20

Table

LU PLE Pale FH )e Lae Bap Sal sic

SG ShTr susieesesi= 3) Sleeauol eaio aT

if

4.5] 4.6, 4.7) 4.8] 4.8] 4.91 5.0] 5.1]

5.4] 5.5] 5.6 5.7] 5.8] 5.91 60| 6.1

- 6.3l- 6. 5|- 6. 6- 6. 7|- 6. 8/- 6.91- 7.0- 7.2

“4

Ze Sliei4ts| PASI 7h Te weSik ze Ole Sail go

=a

8.2} 83] 85) 86 8&8] 89 9.1] 9.2

9.1] 9.3] 9.4 9.6 9.8] 9.9] 10.1] 10.3

10.0]10.2}10.4] 10.6] 10.8/ 10.9] 11.1] 11.3

-10. 9[-11. 2-11. 41-11. 5|-11. 7/-12. o|-12. 2|-12, 3f Explana-

11.9} 12.1] 12.3] 12.5] 12.7] 13.0] 13.2] 13.4 A |

12.8] 13. 0] 13. 3] 13.5] 13.7] 14.0] 14,2] 14 4 tion

13,7] 14.0|14.3] 14.5] 14.7] 15.0] 15.3] 15.5 ofGe |

-14, 7|-15. O|-15. 3|-15. 6|-15. S|-16. 1-16. 4]-16, 7

.

0

1

2

3

4

5

6

7

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e E5NECSPe HNMYPNYONUNaeIA RNn0c9Bc0o9OooE0BWONH MHROCM

PdlnaiPAe~ltnHH6GSCietd2OeIrSADerdRd

TTEsEEPAOALN NOIBNWNRNrO NORAAIDD

TABLE III.
MEAN SOLAR INTO SIDEREAL TIME.
TO BE ADDED TO A MEAN TIME INTERVAL.
ooococoe

ooo aCanear weaiSIsAeeVOrpNs eYyAeWONA HOWS A Y QaaNAHH. OCArI igt pSpiAceMcHacO rf1GoiQeOD QeOe NSNONQM

MOON S mBLNE VBcWeQI

S CS

RRoaoKneSacSwoSte QNoHo RAo Sto RSo S HSSsQHoWcDSONcYo

COCO

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CVVHRKASSKHKOBRHNPESSS BNENENBNEN

DHONI DHHMH CHMNG

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SCOSOSO COSOSOOS

SBIHGKBGS HSNKSDHHHS SSGHENNN

NOHO OCHOHM HDOHMIN

CCOOoS SCOSoCO COSOSOSCO OSCLHOKOWKSG SKHEENLKHLH SSSSOSNKENEK5N

YONA SeSHecReoSeoSSe MAco OBo WBe SEo H OAceANoKeeORsSe

OSOSOSOS SCOSOSS SSOSSS SSESSSSSSS S6iHdBididss HHxHidSidid HMNOD MHONS NMNWDON

COOSOSDO COSOOSS SOSSS SSSSSSSS SSSiSHidididSiHsS WHoS sss ONMDHMN AMONDS WNHN

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CSOSOSCO SOOSOOCS

6BSSSS6SSSS BiSdiSdii8diid8id StaEiSdSsSid

YGeScAreioAeeR9o1oA®e OSeoNAsDoMYReQeAcNe
SSSOSOS SSSSS sGoostytayoay GAeaasss MNHONM RONDID SSOSOSS SOSOSOSS VHAoRoswd SAANSdSS MDHRON MAONH SCSOOSS SOSOSS SHSaSmBaEd SAHNBASS

CAAoNPeQcAAeANoNo c AWAo IAc NRe DAo SN QRcoHRoAAeoDAcAAe AafAHAAoAQoRo AaoYo

SSOSS NGAHAGNS ONHON

SSSSS SSSSS

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SASSSESSSSS BHPOEHBBES~qH QNHONAABAOHnOORNAHM

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DWOMHOMENO1ND ODKO DMHOOFNOORYDXANGA B O
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TABLE IIT.
MEAN SOLAR INTO SIDEREAL TIME.
TO BE ADDED TO A MEAN TIME INTERVAL.

OD Of Gf) Cf CD

Or te) iedyneipe: Sse esol te! Le serene le eetiee See ke m6) ce. cue! je: selevel te cle a8 6 eel Os eye ie! el Mele lees Tene wen ee pem anaes een Mele ie pmre Nis lees ©) emis mir elvieiare

MCCN D CD OD CODON CIC CD COE CD D OD OD CIOO D CDE) CD OD OD CDC COO CDN CD CD COE CDD OD OD COO CIN ON CD MOCOD D OD OD COOD D CN CM of of Cf Of OD

AQUNOO QMHAVS NAAAY CHAAA WWNAS AWN] SAWN YOM NMSA WN MOM QinDHS

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ete

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MMMM ANN

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MOCO OD CACM ED CACO CDC MOCD N ODED MCI CDM CD CCON D CNC CODCO D CNN OD cf OD CO on CD

AWONA AAWTON AOAW NASA WMA MON YS AIGHNH ONMINE WOrAIQ ONMOrieg NOMAY

OOM DDH DAMAMAD NANNN ANNANANN

DOGDOCOSO 1111DD9D)9D..1.9
NAMM MO

COCOA FANMANN ANNNTM CONN DOM OOD MODE OD CIODCD CIO CAC CICIM

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19 19 191019 191C9 O C0OCO COC CO O IP

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a | p@Q@QSNMQ MMO WDNWSH BMOQHS HMHOH CAMO WAAMQH QYAAD WONAY AVONA AATONM AON

IVen) re

EODDND ANNAN

DDNADD ANANNNN

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ODOC ON Fenn DWM MNMMN MMNMMN

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1919010190190 OWMOMOOD Orh-hrh MOD CID CD MCD ONC CD CO CD CD CM oD

HANNNAN NANNN

ANNANNN ANANNN ANNAN

ANNNN

AQNAQNN AQNNQNQNNN AQANQNNSN ANNAN

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ee | wQMIBQWO NOH QOS MOWAN HQYOHA ABWOHY AHA NAGNY OHA’ WAeNAe qAweng oawer

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DNDDHD DAAMWMD AROOS

COCOON Fenn

ANNNN

AMMO

MOM

HH H19N19 19190190 1ND CODOO

hee

re

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Aan

ARNNN

ANNANNN ANNAN

ANNNANN ANNAN

ANNAN

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5a

TABLE [

Le t° B

A a? oe

a cc. ho Sa

0 | 90 0.0 1|89 0.0 2/88 0.0 3 | 87 0.0 4 | 86 90.0
5 | 85 0.0 6 | 83 59.9 7 | 82 59.9 8 | 81 59.9 9 | 80 59.9
10 | 79 59.9 11 | 78 59.9 12 | 77 59.9 13 | 76 59.9 14 | 75 59.9
15 | 74 59.9 16 | 73 59.9 17 | 72 59.9 18 | 71 59.9 19 | 70 59.8
20 | 69 59.8 21 | 68 59.8 22 | 67 59.8 23 | 66 59.8 24 | 65 59.8
25 | 64 59.8 26 | 63 59.8 27 | 62 59.8 28 | 61 59.8 29 | 60 59.8
30 | 59 59.8 31 | 58 59.8 32 | 57 59.8 33 | 56 59.8 34 | 55 59.8
35 | 54 59.8 36 | 53 59.8 37 | 52 59.8 38 | 51 59.8 39 | 50 59.8
40 | 49 59.7 41 | 48 59.7 42 |47 59.7 43 | 46 59.7 44 | 45 59.7
45 | 44 59.7 46 | 43 59.7 47 | 42 59.7 48 | 41 59.7 49 | 40 59.7
50 | 39 59.8 51 |38 59.8 52 | 37 59.8 53 | 36 59.8 54 | 35 59.8
55 | 34 59.8 56 | 33 59.8 57 | 32 59.8 58 | 31 59.8 59 | 30 59.8
60 | 29 59.8 61 | 28 59.8 62 | 27 59.8
63 | 26 59.8 64 | 25 59.8 65 | 24 59.8

7 | 1758 | 90.0
7 | 1758 | 90.0 7 | 1758 | 90.0
7 | 1759 | 90.0 7 | 1759 | 89.9

6 | 1760 | 89.9 6 | 1760 | 89.9 6 | 1761 | 89.9 6 | 1763 | 89.9 6 | 1763 | 89.9

6 | 1765 | 89.8
6 | 1766 | 89.8 6 | 1768 | 89.8

6 | 1769 | 89.8 6 | 1771 | 89.8

6 177s | S87 6 | 1775 | 89.7
6 | 1777 | 88: F 6 | 1780 | 89.7 6 | 1783 | 89. 7

6 | 1785 | 89. 7
6 | 1788 | 89.6
6 | 1791 | 89.6 6 | 1794 | 89. 6 6 | 1798 | 89.6

5 | 1801

. 6

5 | 1805

. 6

5 | 1808

io

5 | 1812

. 5

5 | 1816

.

5 | 1820

a)

5 | 1825

. 5

5 | 1830

8

5 | 1835

.5

4 | 1840

. 4

4 | 1845

. 4

4] 1851

. 4

4 | 1856

. 4

4} 1861

. 4

4 | 1868

. 4

4 | 1874 | 89.4
4 | 1880 | 89.3 4 | 1887 | 89.3
4 | 1894 | 89.3 3 | 1901 | 89.3

3 | 1909 | 89.3 3 | 1916 | 89.3
3:| 1925 | 389.3 3 | 1933 | 89.3 3 | 1941 | 89.2

3 | 1950 | 89.2
3 | 1959 | 89. 2 2 | 1969 | 89.2 2 | 1979: | 89.2 2] 1989 | 89.2

2 ; 2000

ee

2 | 2010

. 2

2 | 2022

. 2

2 | 2034

. 2

2 | 2046

Rul

2 | 2059

Bal

2 | 2072

Lil

2 | 2086

. 1

1 | 2102

bil

1 | 2116

Bal

1 | 2132

bell

K 2° G)
Gas ie

21

+?

occ

26 | 1457 | 90.0

0

26 | 1457 | 90.0

1

26 | 1458 | 89.9

2

26 | 1458 | 89.9

3

26 | 1458 | 89.9

4

26 | 1459 | 89.8

5

26 | 1460 | 89.8

6

26 | 1460 | 89.8

7

26 | 1462 | 89.7

8

26 | 1463 | 89.7

9

26 | 1464 | 89.7

10

26 | 1465 | 89.6

11

25 | 1467 | 89.6

12

25 | 1469 | 89.6

13

25 | 1470 | 89.5

14

25 | 1472 | 89.5

15

24 | 1475 | 89.4

16

24 | 1476 | 89.4

17

24 | 1479 | 89.4

18

24 | 1481 | 89.3

19

23 | 1484 | 89.3

20

23 | 1487 | 89.3

21

23 | 1490 | 89.3

22

22 | 1493 | 89.2

23

22 | 1497 | 89.2

24

21 | 1500 | 89. 2

25

21 | 1503 | 89.1

26

21 | 1507 | 89.1

27

20 | 1511 | 39,1

28

20 | 1516 | 89.0

29

20 | 1520 | 89.0

30

20 | 1524 | 89.0

31

19 | 1529 | 88.9

32

19 | 1534 | 88.9

33

18 | 1539 | 88.9

34

18 | 1544 | 88.9

35

17 | 1549 | 88.8

36

17 | 1555 | 88.8

37

16 | 1560 | 88.8

83

16 | 1566 | 88. 7

39

16 | 1573 | 88. 7

40

15 | 1579 | 88. 7

41

15 | 1586 | 88.7

42

14 | 1593 | 88.6

43

14 | 1600 | 88.6

44

13 | 1608 | 88. 6

45

13 | 1616 | 88.6

46

12 | 1624 | 88.5

47

12 | 1632 | 88.5

48

11 | 1640 | 88.5

49

11 | 1649 | 88.4

50

10 | 1658 | 88. 4

51

10 | 1668 | 88.4

52

10 | 1678 | 88. 4

53

9 | 1688 | 88. 4

54

9 } 1699 | 88.4

55

8 | 1710 | 88.3

56

8 | 1721 | 88.3

57

7 | 1733 | 88.3

58

7 |.1745 | 88.3

59

7 | 1758 | 88.3

60

6 | 1771 | 88.3

61

6 | 1786 | 88. 2

62

6 | 1800 | 88. 2

63

5 | 1815 | 88.2

64

5 | 1831 | 88.2

65

{°

L°

b

[o} /
0/90 0.0 1 |88 59.9 2 | 87 59.8 3 | 86 59.8 4 185 59.7
5 | 84 59.6 6 | 83 59.5 7 | 82 59.4 8 | 81 59.3 9 | 80 59.3 10 |79 59.2 11 | 78 59.1 12 |77 59.0 13 |76 59.0 14 | 75 58.9
15 | 74 58.8 16 | 73 58.8 ee 25 Sk7 18 |71 58.6 19 |70 58.5 20 |69 58.5 21 | 68 58.4 22 |67 58.4 23 | 66 58.3 24 | 65 58.2 25 | 64 58.2 26 |63 58.1 27 |62 58.1 25 |61 58.0 29 | 60 58.0 30 | 59 58.0 31 |58 57.9 32 |57 57.9 33 |56 57.8 34 |55 57.8 35 | 54 57.8 36 | 53 57.8 Soy eye 38 151 57.7 39 |50 57.7 40 | 49 57.7 Al | 48 57.7 42 | 47 57.7 43 | 46 57.6 44 | 45 57.6 45 | 44 57.6 46 |43 57.5 A7 | 42 57.6 48 | 41 57.7 49 | 40 57.7 50 | 39 57.7 51 | 38 57.7 52 | 37 57.7 53 |36 57.7 54 | 35 57.8 55 | 34 57.8 56 | 33 57.8 57 | 32 57.8 58 | 31 57.9 59 | 30 57.9 “60 | 29 58.0 61 | 28 58.0 62 | 27 58.0 63 | 26 58.1 64 | 25 58.1 65 | 24 58.2

TABLE I
3°
C

60 | 1281 60 | 1281 60 | 1281

.0 | 0} 9 |

59 | 1282

HSH

59 | 1282

8

59 | 1283

Al

59 | 1284

va

59 | 1284

6 |

58 | 1286

6 I

58 | 1287

ont

5S | 1288

.5 |

57 | 1289

4 |

57 | 1291

4

57 | 1292

3 |

56 |1294 |89.3 f

56 | 1296

Kon

55 | 1298

1

54 | 1301

.1¢

54 | 1303

il

53 | 1305

0 |

52 | 1308

Wi)

52 | 1311

9 f

51 | 1314

of

50 | 1317

84

50 | 1321

St

49 | 1324

7a

AR | 1327

Noe)

47 | 133

6

46 | 1335

. 6 F

46 | 1339

55

45 | 1344 44 | 1348 43 | 1353

5 | 5 SE AI

2 | 1358

4f

A1 | 1363

Oa

40 | 1368

Poul

20 1378

Ou

38 | 1379

24

37 | 1385

Que

36 | 1391

1

35 | 1397

Pie

34 | 1403

Of

33 | 1410

Of

32 | 1417

Of

31 | 1424

9]

30 | 1482 29 | 1439 28 | 1448 27 | 1456

98 .8§ 8 | .8 |

26 | 1464

lal

25 | 1473

ae |

24 | 1483

ey

23 | 1492

64

22 | 1502

64

20 | 1512

6

20 | 1523

5

19 | 1534

OF

18 | 1545

5

17 | 1557

15

16 | 1569

4

15 | 1582

we!

14 | 1596

4

13 | 1609

4

12 | 1624

23

12 | 1639 ng

11 | 1656 LS

5b

Sze

L°

ri

ae

1156

0

106 | 1156 | 89.9

1

106 | 1157 | 89.9

2

106 | 1157 | 89.8

3

105 | 1158 | 89.7

4

105 | 1158 | 89. 7 | 5

105 | 1159 | 89.6

6

104 | 1160 | 89.5

7

104 | 1161 | 89.4

8

103 | 1162 | 89.4

9

103 | 1163 | 89.3

10

102 | 1164 | 89.2

11

101 | 1166 | 89.2

12

100 | 1168 | 89.1

13

100 | 1169 | 89.0 | 14

99 | 1171 | 89.0 | 15

98 | 1174 | 88.9

16

97 | 1176 | 88.8 | ive

96 | 1178 | 88.8 | 18

OFal TISTUSS iy,

19

94 | 1183 | 88. 6 | 20

92 | 1186 | 88.6

wil

91 | 1189 | 88.5 | 22

90 | 1192 | 88. 4 | 23

88 | 1196 | 88. 4

24

87 | 1199 | 88.3

25

86 | 1203 | 88. 2 | 26

84 | 1208 | 88. 2 | 27

SOO TITOMESS. Tt

28

Sig) 12a Sean

29

79 | 1219 | 88.0 | 30

73 | 1223) Sie On| 3

76 | 1228 | 87.9

32

FAA 1233) ("Sasn 33

TN TORS | Sr Se

34

Tl eal eSaurall 3!

69 | 1248 | 87.6 | 36

68 | 1254 | 87.6

37

66 | 1260 | 87.5

38

64 | 1266 | 87.5

39

62 | 1272 | 87.4

40

60 | 1279 | 87.4 | Aq

58 | 1285 | 87.3 | 42

57 | 1292 | 87.3 | 43

55 | 1299 | 87. 2 | 44

FSM ESOTe ne eee

45

FATS S7eedie 46

4Ou iTSOSh Sel

47

47 183 eSzi0

48

48 | 1339 | 87.0 | 49

44 | 1348 | 86. 9

50

42 | 1357 | 86.9

51

40 | 1367 | 86.8 | 52

Boul Tar sees

53

36 | 1387 | 86.8 |! 54.

35 | 1398 | 86.7

55

33 | 1409 | 86.7

56

32 | 1420 | 86.6

57

30 | 1432 | 86.6

58

28 | 1445 | 86. 6 | 59

26 | 1454 | 86.5

60

25 | 1471 | 86.5

61

23 | 1485 | 86.5

62

22 | 1499 | 86.4

63

20 | 1515 | 86.4

64

19 | 1530 | 86. 4

65

Table
i a en

ee e e

42

5°?

6°

rr

Le

b

A

Crm

D

A C | 2 ae

ier Tee” te, bly | sgn enna e, | aia ot a Who, it GH Tm a

(3)

0|90 0.0 166.| 1060 |90.0490 0.0} 239] 981 | 90.0

0

1 |88 59.8 166 |1060 |89.9] 88 59.7; 238] 981 | 89.9

1

2 |87 59.5 165 |1060 |89.8 |87 59.3] 238] 981 | 89.8

2

3 |86 59.3 165 |1060 |89.7186 59.0| 238] 981 |89.7

3

4 |85 59.1 165 |1061 |89.7] 85 58.7} 237 | 982 | 89.6

4

56 ||8843 5588..96

116644 ||11006612 || 8899..56 5588..0|4 223366 || 998832 ||8899..54

5 6

7 |82 58.4 163 |1063 |89. 4 57.7 235 | 984 |89.3

7

89 ||8810 5588..20

116622 ||11006654 || 8899..32 5577..14

223334 || 998856 ||8899..12

8 9

10 |79 57.8 161 |1066 | 89.1 56.8| 231 | 987 |89.0 10

11 |78 57.5 160 |1068 | 89.0 56.5| 230] 989] 88.9 11

12 |77 57.3 158 |1069 | 89.0 56.2| 228] 990 | 887 12

1134 ||7756 5576..19

115576 ||11007713 || 8888..98 5555..69|| 222256 || 999924 ||8888..65

1143

15 |74 56.7 154 |1075 | 88.7 55.3] 222 | 996) 884 15

16 |73 56.5 153 |1077 | 88.6 55.0| 220] 998 |883 16

17 |72 56.3 152 |1079 | 88.5 54.7 218 |1000 |88.2 17

18 |71 56.1 150 |1981 | 88.5 54.4 216 | 1003 | 88. 1 18

19 |70 56.0 148 |1084 | 88.4 54.2 213 | 1005 | 88.0 19

20 |69 55.8 146 | 1087 | 88.3 53.9 210 | 1008 | 87.9 20

21 |68 55.6 144 |1090 |88. 2 53.7 208 |1011 |37.8 21

22 |67 55.4 142 |1093 | 88.1 53.4 205 |1014 | 87.7 22

23 |66 55.3 140 |1096 |88. 0 53.2} 202 | 1017 |87.6 23

24 |65 55.1 138 |1099 | 88.0 53.0 199 |1020 |87.6 24

25 |64 55.0 136 |1102 | 87.9 52.8 196 |1023 |87.5 25

26 |63 54.8 134 |1106 | 87.8 52.5 193 |1027 |87. 4 26

27 |62 54.7 131 |1110 | 87.7 52.3 189 |1031 |87.3 27

28 |61 54.6 129 |1114 | 87.6 52.2 186 |1035 |87.2 28

29 |60 54.4 127 |1118 | 87.6 52.0 182 |1039 |87.1 29

30 |59 54.3 124 |1122 | 87.5 51.8 179 |1043 |87.0 30

31 |58 54.2 122 |1127 | 87.4 51.6 175 |1048 |86.9 31

32 |57 54.1 119 |1131 | 87.3 51.5 171 |1052 |86.8 32

33 |56 54.0 116 |1136 | 87.3 51.4 168 |1057 |86.7 33

34 |55 53.9 114 |1141 | 87.2 51.2 164 |1062 |86.6 34

35 |54 53.8 11i |1146 | 87. 1 51.1 160 |1067 |86.6 35

36 |53 53.8 108 |1152 | 87.1 51.0 156 |1073 | 8& = 36

37 |52 53.7 106 |1157 | 87.0 50.9 152 |1078 |86.4 37

38 |51 53.6 103 |1163 | 86.9 50.8 148 |1084 |86.3 38

39 |50 53.6 100 |1169 | 86.8 50.8 144 |1050 |86.2 39

40 |49 53.5

97 | 1175 | 86.8 50.7 140 | 1096 | 86.1 40

4412 ||4487 5533..55

9914 ||11118829 || 8866..77 5500..66 113316 ||11110130 ||8866..10

4412

4434 ||4465 5533..54

8896 ||11129063 || 8866..56 5500..66 112237 ||11111274 ||8855..89

4443.

45 |44 53.4

83 |1210 | 86.5 50.6 119 |1131 |85.8 45

46 |43 53.4

80 | 1218 |86. 4 50.6 115 |1139 |85.7 46

47 |42 53.5

77 |1226 |86.3 142 50.6 111 |1147 |85.6 47

48 |41 53.5

74 |1234 |86.3 |41 56.6 107 |1155 |85.5 48

49 |40 53.5

71 | 1243 |86.2 |40 50.6 102 |1164 |85.5 49

5510 ||3398 5533..56

6685 || 11226512 ||8866..12 ||3398 5500..87

9984 ||11118728 ||8855..34

E51

52 |87 53.6

63 |1271 |86.1] 37 50.8

90 |1191 |85.3 52

53 |36 53.7

60 |1280 |86.0 |36 50.9

86 | 1201 | 85.2 53

54 |35 53.8

57 |1290 |86.0 |35 51.0

82 |1212 |85.1 54

55 |34 53.8

54 | 1301 |85.9} 34 51.1

78 |1222 |85.1 55

56 |83 53.9

52 |1312 |85.9 |33 51.3

74 | 1233 | 85.0 56

57 |32 54.0

49 |1324 |85.8 |32 51.4

70 |1245 |85.0 57

58 |31 54.1

46 |1336 |85.8 |31 51.5

67 |1257 |84.9 58

59 |30 54.2

44 |1348 |85.7 |30 51.7

63 |1269 | 84.9 59

60 |29 54.3

41 |1361 |85.7 |29 51.8

59 |1282 |84.8 60

61 |28 54.4

39 | 1374 |85. 6 |28 52.0

56 | 1295 | 84. 7 61

62 |27 54.6

37 |1388 |85.6 |27 52.2

52 | 1309 | 84.7 62

63 |26 54.7

34 |1403 |85.5 |26 52.4

49 | 1324 | 84.7 63

64 |25 54.8

32 |1418 |85.5 |25 52.6

46 |1339 |846) 64

65 |24 55.0

30 |1434 |85.5124 52.8

42 |1355 |84. 6 65

TasueE |

ce

me

cla

I to

L°

D

A

Cwm

b

A

6! 7 Bd

el | NOME /ai cn Ea Tmt acl,7a) Tae he |Pe OTE Ol MI PaRLRIG. MOT LaannaIn, Sioa e OL ean peste

0/90 0.0 325 | 914] 90.0}90 0.0 425 | 856 | 90.0

0

1 |88 59.5 325 | 914 | 89.9 188 59.4 425 | 856 | 89.9

1

2 |87 59.1 324 | 914 |89.8 |87 58.8 424 | 857 |89.7

2

3 |86 58.7 324 | 915 |89.6186 58.2 424 | 857 |89.6

3

4 |85 58.2 323 | 915 |89.5 |85 57.6 423 | 857 |89.4

4

5 |84 57.8 322 | 916 |89.4 |84 57.1 422 | 858 |89.3

5

6 |83 57.3 321 | 916 |89.3} 83 56.5 420 | 859 |89.2

6

7 |82 56.9 320 | 917 |89.2 |82 55.9 418 | 860 | 89.0

7

89 ||8810 5566..40

331197 || 991198 || 8889.9.04| 8810 5554..38

441147 || 886612 || 8888..97

8 9

10 |79 55.6 315 | 921 | 88.8 |79 54.2 412 | 863 | 88.6

10

11 |78 55.2 313 | 922 | 88.7178 53.7

409 | 865 | 88.5

11

12 |77 54.8

311 | 924 | 88.5177 53.1

406 | 866 | 88.3

12

3176 54.3 308 | 925 | 88.4176 52.6 403 | 868 | 88.2

13

14 |75 53.9

306 | 927 | 88.3]75 52.1

400 | 870 | 88.1

14

ie ees

303 | 929 | 88.2 |

396 | 872 | 87.9

15

16 |73 53.2 300 | 931 | 88.1]

392 | 873 | 87.8

16

17 |72 52.8 297 | 933 | 87.9 |

388 | 876 | 87.6

17

18 |71 52.4 294 | 936 | 87.8 |

399 1 9878) (187. a 18

19 |70 52.1 290 | 938 | 87.7 |

379 | 881 | 87.4

19

20 |69 51.7 91 |68 51.4 92 |67 51.0 93 |66 50.7 24 |65 50.4

287 | 941 | 87.6 | 283 | 944 | 87.5 279 | 947 | 87.4 | 275 | 950 | 87.3 | 271 | 953 | 87.1 |

Sse Sessa

20

370 | 886 | 87.1

21

365 | 889 | 87.0

22

359 | 392 | 86.9

23

354 | 896 | 86.7

24

95 |64 50.1 96 |63 49.8 97 |62 49.6 98 |61 49.3 29 |60 49.1

266 | 957 | 87.0} 262 | 960 | 86.9 258 | 964 | 86.8 | 253 | 968 | 86.7 | 248 | 972 | 86.6

348 | 899 | 86.6

25

342 | 903 | 86.5

26

336 | 907 | 86. 4 7

330 | 911 | 86.2

28

324 | 915 | 86.1

29

30 |59 48.8 31 |58 48.6 32 |57 48.4 33 |56 48.2 34 |55 48.1

243 | 977 | 86.5 | 238 | 981 | 86.4 | 233 | 986 | 86.3 | 228 | 990 | 86.2 | 223 | 996 | 86.1 |

318 | 919 |86.0

30

Sti) 928 ssi 9 31

305 | 928 | 85.7

32

298 | 933 | 85.6

33

291 | 938 | 85.5

34

35 |54 47.9 36 |53 47.8 37 |52 47.6 38 |51 47.5 39 |50 47.4 —~40 |49 47.3 41 |48 47.3 42 |47 47.2 43 |46 47.2 44 |45 47.1

218 | 1001 | 86.0 | 212 | 1006 | 85.9 | 207 | 1012 | 85.8 201 | 1018 | 85.7 | 196 | 1024 | 85. 6 190 | 1030 | 85.5| 184 | 1036 | 85. 4 179 | 1043 | 85.3 | 173 | 1050 | 85.2 168 | 1057 | 85.1 |

984 | 943 | 85.4

35

977 | 948 | 85.3

36

970 | 954 | 85.2

37

263 | 960 | 85.1

38

256 | 966 | 84.9

39

948 | 972 |84.8

40

241 | 979 |84.7

41

234 | 985 | 84.6

42

926 | 992 | 84.5

43

219 | 1000 | 84. 4 44

4456 ||4434 4477..11 AT |42 47.2 48 |41 47.2 49 |40 47.3

116526 || 11006752 || 8855..00 || 150 | 1080 | 84.9 | 145 | 1089 | 84.8 | 139 |1097 | 84.7 |

321014 ||11000175 || 8844..32

4465

197 | 1023 | 84.1

47

189 |1031 |84.0

48

182 | 1040 | 33.9

49

50 |39 47.3 5512 ||3387 4477..45 53 |36 47.6 54 |35 47.8 55 |34 47.9 56 |33 48.1 57 |32 48.3 58 |31 48.5 59 |30 48.7 60 |29 48.9 61 |28 49.1 62 | 27 49.4 6634 ||2265 4499..69 65 |24 50.2

133 | 1106 | 846 | 112238 || 11111255 || 8844..65 | 117 | 1135 | 84.4 | 112 | 1145 | 84.3 | 106 | 1156 | 84. 3 | 101 | 1166 | 84.2 96 | 1178 | 84.1 | 91 | 1190 | 84.1 | 86 | 1202 | 84.0 | 81 | 1215 | 83.9 | 76 | 1229 | 83.9 | 71 | 1242 | 83.8 | 6672 || 11227527 || 8833..87 | 58 | 1288 | 83.7

174 | 1049 | 83.9

50

116670 || 11006578 ||8833..87

5512

159° |1077 1183.6 53

146 | 1087 | 83.5

54

139 | 1098 | 83. 4 55

132 | 1109 | 83.4 56

125 | 1120 | 83.3

57

118 | 1135 | 83.2

58

112 | 1145 | 83.1

59

105 | 1158 | 83. 1 60

99 | 1171 | 83.0

61

3 | 1185 | 82.9

62

8817 || 11129195 ||8822..98

6643

75 | 1231 | 82.7

65

20143°°—4N—_2

oe eeee

eSaeele.

g

+°

1

b

°

/

0/90 0.0 1 | 88 59.3

2 |87 58.5

3 |86 57.8 4 |85 57.0

5 |84 56.3|

6 | 83 55.5

7 | 82 54.8

8 | 81 54.1

9 | 80 53.4

10 |79 52.7

11 | 78 52.0

12 |77 51.3

13 |76 50.6 14 |75 49.9

15 | 74 49.3

16 |73 48.7

17 |72 48.0 18 |71 47.4

19 |70 46.8

20 | 69 46.2

21 | 68 45.7 22 | 67 45.1

23 | 66 44.6 24 | 65 44.1

25 | 64 43.6

26 | 63 43.2 27 | 62 42.7

28 | 61 42.3

29 | 60 41.9

30 | 59 41.5

31 |58 41.1 32 |57 40.8

33 | 56 40.5

34 | 55 40.2

35 | 54 39.9

36 | 53 39.7

37 | 52 39.5 38 | 51 39.3 39 | 50 39.1

40 | 49 39.0

41 | 48 38.9 42 |47 38.8

43 |46 38.7

44 | 45 38.7

45 | 44 38.7 46 | 43 38.7

47 | 42 38.8

48 |41 38.8

49 |40 38.9

50 | 39 39.1 51 | 38 39.2 52 | 37 39.4

53 | 36 39.6 54 | 35 39.8

55 | 34 40.0 56 | 33 40.3

57 | 32 40.6

58 |31 40.9

59 | 30 41.3

60 |29 41.6

61 | 28 42.0 62 | 27 42.4

63 | 26 42.8 64 | 25 43.3 65 | 24 43.8

TABLE I

9°

A

C

538 | 806 0 538 | 806 8 537 | 806 tg

537 | 806 5

535 | 806 A

5341 807 na

532 | 808 a

530 | 809 9

528 | 810 7

5254) S11 6

5er| 82

<A

518 | 814 Re

514 | 815 |

510 | 817 0 506 | 819 38

502 | 820 7

497 | 823 5

492 | 825 ee 486 | 827 9

480 | 830 4)

474 | 832-| 86.9

468 | 835 “8

462 | 839 6

455 | 841

5

448 | 845 me

441 | 848 a

434 | 852 6

426 | 856 9

418 | 860 a

410 | 864 6

402 | 868 | 85.5

394 | 873 we 386 | 877 2

ST Th 882 Pi

368 | 887 9

359 | 892 oe 351 | 898 va

342 | 903 6

332 | 909 a:

328 | 915 | 84.8

3144) 021,842

305 | 928 Ri 296 | 935 m0) 286 | 942 Ro

277 | 949 or

267 | 956 6

258 | 964 5

249 | 972 4

239 | 980 us

230 | 989 2

221 | 998 ak

212 | 1007 0

202 | 1016 9

193 | 1026 a

184 | 1037 ae

176 | 1047 6

167 | 1058 5

158 | 1069 4

150 | 1081 4

141 | 1094 a

133 | 1107 e:

125 | 1120 wi 117 | 1134 0

110 | 1149 “6 102 | 1164 .9

95 | 1180 .8

i?
L°

mt

0

8

1

6

2

wb

3

ie

4

89. 1

5

88. 9

6

88. 8

7

88. 6

8

88. 4

9

88. 2

10

88.1

11

87.9

12

87.7

13

87. 6

14

87.4

15

87. 2

16

87. 0

17

86. 9

18

By 86. 7

19

86. 5 | 20

86. 4

21

86. 2

22

86. 1

23

85. 9

24

85. 7

25

85. 6

26

85. 4

27

85. 3

28

85. 1

29

85. 0

30

84. 8

31

84. 7

32

84. 5

33

84. 4

34

84. 2

35

84. 1 . 36

83. 9

37

83. 8

38

83. 7

39

83. 5

40

83. 4

Al

83. 3

42

83. 1

43

83. 0

44

82. 9

45

82. 8

46

82.7

47

82. 5

48

82. 4

49

82.3

50

39 o

51

62.4

52

82. 0

53

81.9 54

81.8

55

81.7

56

81. 6

57

81. 5

58

81. 4

59

81.3

60

81. 2

61

1S

62

81.1

63

81. 0

64

80. 9

65

ri

Le

b

34201||//98|88088576° 555556870/.....56980|]||] 7g956|||88||81238854505123...5514023..{||41|| 1111130412.||||777|7875769 4444449568.....90990||||| 111f15s967 ||7||a7774032 444a43320n....t9002)|||| 2222212340/|||6966|668756 3333397866.....47592||;|| 2222259687/||6612||666043 3333354324....14748]|||| 3333323401/||55985||55576 3333312010.....73328|;||] 3333356897 ||5|||555540132 3222209998.....06308|||]| 4444402341||||4|444849657 2222288888....46312|;|)| 4444456978 |||||4444441320 2222288888.....13522||||] 5555512304|||35|33|339876 2222288999.....19478||||| 5555556789 |||||3333341320 3333300112.....15500||||| 6666661023451|||||222222498765 333333233455......157407|||||1

TABLE [

iv A Sma

888880000055413]]] | 77|77_11127999200 |||||8888999099.....° 28064

777779899935906]|

| | |

777772222212353

|||||8888888988...53806

777777685704176]] |||_777773222316792 |||||8888887777.....13759

777775432113597 |||||; 77_7774333419473 |||||8888867666.....19674

776660197800000]|

| | |

777774455569295

|||||8888865565.....28507

666662451358937 |||| 7777|_66777250378 |||||8888855544.....13086

555650856719036 |||||_877770988911235 |||||8888844344....41380

555441382907347|

| | | |

888881102216379

|||||8888833333.....65320

444446415291357 ||||| 888884453628562 |||||8888822222.....96734

333337598417953]] |||_888898779050842 |||||8888822111.....20987

333220821728955]]

| | |

999991352410000

|||||8888811111.....15324

222224162391236] ||||1099990678981135 |||||8888810000.....08576

111111987645975422 ||||||111111000000243679182483 ||||||888888000000......321440

©

A 12° Grp oe‘2

999995565595087 |||||_666668888822233 |||||9888899990...°..82460

0 3 4 2 1

999995444321956 ||||| 666668888854586 |||||8888888888.....19753

5 9 6 7 8

999g91203174200||

| | |

666669989920935]|

|||8888877777....35719]]]

| |

1111110234

888888075654666 |||| 6767|_009971470||97 /||86888866666...2]904]|]]

1911115687

8B887Oa4128d5020)\

| | |

77W77021129)85U|E|8|S558e8.555o4..4083|6}]

||ea222220238

7T777i8354PA5084|)

| | | |

7T7773243O6502S| |H|8|\4E888.S4445a.391|g]|]

|e

2222275968

667678170516605 |||||_777775456483439|||8||38888.33338....9624|}]|]

3333313204

666553920719374 ||||| 77777868795904|2|||8|822888.23249..5|7|0]] | 3333356978

5B5544259005}188|,

| | |

8887S121901588]||4c|s288881211e....i8296]]|]

| 7

4444410432

444442405741884] ||| 8888|_4453808662||]5 ||8888811011.....32905]]]| | 4444458697

333337045215397 ||||| 88899790184323|||3/|80888800006...4]582]]]}

5555512340

322221698515600 ||{|| 999995732480436]|] ||8778700999.....10789|]]] | 5555556897

222111320896628148 ||||||1111000099124589150637||7||||977777.999995.....3142|6!||] | 666666032145

10

TABLE I

t°

13°

L°

b

A

C

CSa a aaa Daca

14°

Z’

A

aC crane RmsEYa a

0/90 0.0

1128

648 | 90. 0

1310

1 | 88 58.4

VERT 648 | 89.8

1309

2 | 87 56.8

1126

648 | 89.5

1308

3 | 86 55.3

1124 648 | 89.3

1306

4 | 85 53.7

1122

649 | 89.1

1303

¢°

C

Z’ |Le

616 | 90.0

0

616 | 89.8

1

616 | 89.5

2

617 | 89.3

3

617 | 89.90

4

ie.2i) ) heei=) a
SOC ©Or?ONT
10 | 79 44.5 11 | 78 43.1 12 | 77 41.6 13 | 76 40.2 14 | 75 38.8
15 | 74 37.4 16 | 73 36.1 17 | 72 34.8 18 | 71 33.5 19 |70 32.2
20 | 69 31.0 21 | G8 29.8 22 | 67 28.7 23 | 66 27.6 24 | 65 26.5
25 | 64 25.5 26 | 63 24.6 27 | 62 23.6 28 | 61 22.7 29 | 60 21.9
30 | 59 21.1 31 | 58 20.4 32 | 57 19.7 33 | 56 19.0 34 | 55 18.4
35 | 54 17.9 36 | 53 17.4 37 | 52 17.0 38 | 51 16.6 39 | 50 16.2
40 | 49 16.0 41 | 48 15.7 42 | 47 15.6 43 | 46 15.4 44 | 45 15.4
45 | 44 15.4 46 | 43 15.4 47 | 42 15.5 48 | 41 15.7 49 | 40 15.9
50 | 39 16.2 51 | 38 16.5 52 | 37 16.8 53 | 36 17.3 54 | 35 17.7
55 | 34 18.3 56 | 33 18.8 57 | 32 19.4 58 | 31 20.1 59 | 30 20.8
60 | 29 21.6 61 | 28 22.4 62 | 27 23.2 63 | 26 24.2 64 | 25 25.1 65 | 24 26.1

_ — — oO

for)On—_ ie.)10)

RONOO

1093 654 | 87.7 | 79 42.0 1086 | 656 | 87.5 | 78 40.3 1078 | 657 | 87.3 |77 38.6 1069 | 659 | 87.0 |76 37.0 1060 | 661 | 86.8 |75 35.3

1050 | 663 1040 | 665 1029 | 667 1017 | 670 1005 | 672

5. 6 | 74 33.7 .4 473 32.2 . 1 | 72 30.7 .9 |71 29.2 7 | 70 27.7

993 | 675 980 | 677 965 | 680
952 | 684 937 | 687

.5 | 69 26.3 .3 | 68 24.9 . 1 | 67 23.6
.8 | 66 22.3 .6 165 21.1

922 691 906 | 694 890 | 698 874 | 702 857 | 706

.4 1 64 19.9 .2 163 18.8 . 0 | 62 17.7 .8 | 61 16.7 .6 | 60 15.7

840 | 710 823 | 715 805 | 719 787 | 724 769 729

.4 159 14.8 .2 158 13.8 .0 | 57 13.1 .8 | 56 12.4 .6 | 55 11.7

750 | 735
731 740
712 | 746 693 | 751 674 | 757

.5 | 54 11.0
.3 |53 10.5
.1 4]52 10.0 .9 751 9.5 -7 450 9.2

655 | 763

. 6

635 | 770

.4

Glo) W727

a

596 | 783

et

576 | 791

BY

556 | 798

AGE

537 | 806

. 6

517 | 814

. 6

498 | 822

. 3

478 | 831

A

459 | 840

. O

440 | 849

. 8

420 | 858

Lk

402 | 868

Be)

383 | 879

4

365 | 889

3

346 | 900

. 2

328 | 912

. 0

311 924

BS

294 | 936

8

276 | 948 | 78.7 | 29 15.5 260 | 962 | 78.6 | 28 16.4
244 | 976 | 78.5 |27 17.4 228 | 991 | 78.4 |26 18.4
212 | 1006 | 78.3 | 25 19.5 197 | 1022 | 78.2 |24 20.7

— iw)No)(=)

[or]—_Ko) io)

GoGsot OwownccOOCCDr?ONT

1269 | 623 | 87.5

10

1260 | 624 | 87.3

11

1251 | 626 | 87.0

12

1241 628 | 86.8

13

1231 | 629 | 86.5

14

1219 | 631 | 86.3

15

1207 | 633 | 86.1

16

1194 | 636 | 85.8

17

1181 638 | 85. 6

18

1167 | 640 | 85.4

19

1152 | 643 | 85.1

20

1137 | 646 | 84.9

21

1121 649 | 84.7

22

1104 | 652 | 844

23

1087 | 655 | 84.2

24

1070 | 659 | 84.0

25

1052 | 662 | 83.8

26

1033 | 666 | 83.5

27

1014 | 670 | 83.3

28

995 | 674 | 83.1

29

975 | 679 | 82.9

30

954 | 683 | 82.7

31

934 | 688 | 82.5

32

913 | 692 | 82.3

33

892 | 698 | 82.1

34

870 | 703 | 81.9

35

848 | 708 | 81.7

36

826 | 714 | 81.5

37

804 | 720 | 81.3

38

782 | 725 | S18

39

759 | 732 | 80.9

40

736 | 738 | 80.7

41

714 | 745 | 80.5

42

691 752 | 80.4

43

668 | 760 | 80.2

44

645 | 767 | 80.0

45

622 | 774 | 79.8

46

699 | 782 | foe

47

577 | (91 anous

48

554 | 799 | 79.4

49

532 | 808 | 79.2

50

509 | 817 | 79.0

51

487 | 827 | 78.9

52

465 | 837 | 78.7

53

444 | 847 | 78.6

54

422 | 857 | 78.5

55

401 | 868 | 78.3

56

380 | 880 | 78. 2

57

360 | 892 | 78.1

58

340 | 904 | 77.9

59

a20 | SLAs

60

301 | 931 | 77.7

61

282 | 945 | 77.6

62

263 | 959 | 77.5

63

246 | 974 | 77.4

64

228 | 990 | 77.3

65

+°

L°

b

i

[o) 7

0|90 0.0 1 |88 57.9 2 |87 55.8 3 |86 53.7 4185 51.6

5 |84 49.5 6 |83 47.4 7 |82 45.3 8 |81 43.3 9 |80 41.3

10 |79 39.3 11 |78 37.3 12177 35.4 13 |76 33.5 14 |75 31.6

15 |74 29.8 16 |73 28.0 17 |72 26.2 18 |71 24.5 19 |70 22.8

20 |69 21.2 21 |68 19.6 22 | 67 18.1 23 |66 16.6 24 |65 15.2

25 |64 13.8 26 |63 12.5 27 |62 11.3 28 |61 10.1 29/160 9.0

30 |59 8.0 31 |58 7.0 32 |57 6.0 33 |56 5.2 34 |55 4.4

335615|354 33..07
37 |52 2.5 38 |51 1.9 39 |50 1.5

40 |49 1.1 41 |48 0.9 42 |47 0.6 43/46 0.5 44|45 0.4

45 |44 0.4 46 |43 0.5 47 |42 0.6 48 |41 0.9 49 |40 1.1

50 |39 1.5 51/38 1.9
52 |37 2.4
53 |36 3.9 54135 3.6

55 |34 4.3 56 |33 5.1 57 |32 6.0 58 |31 6.9 59 |30 7.8

60 |29 8.8 61 |28 9.9 62 |27 11.1 63 | 26 12.3 64 |25 13.5 65 |24 14.9

TABLE I

15°

A

6) VA

b

[o)

° 7

1506 | 587 | 90.0 1505 | 587 | 89.7 | 1504 | 587 | 89.5 1501 | 587 |]89.2 | 1498 | 588] 88.9 |

1494 | 588 | 88.7 | 1489 | 589 | 88.4 1482 | 590/881] 1475 | 591 | 87.9 1468 | 592 | 87.6

1459 | 594 | 87.3 1449 | 595 | 87.1 1439 | 597 | 86.8 1427 | 598 | 86.6 1415 | 600 | 86.3

1401 | 602 0

1388 | 604 84

1273 | 606 5 |

1357 | 609 oul

1841 Gi

0

1324 | 614 “31

:

1306 | 617 LB)

i

1288 | 620 Lou

é

1269 | 623 .0

;

1249 | 626 8 i 8.9

1229 | 630 5 | 7.3

1208 | 633 8

5.8

1187 | 637 al

4.4

1165 | 641

User

3.1

1142 | 645 6

1.8

1119 | 649

0.6

1096 | 653

59.5

1072 | 658

58.4

1048 | 663

57.5

1024 | 668

56.6

997949 || 667739

5555..0|8

948 | 685

54.4

923 | 690

53.8

897 | 696

53.3

871 | 702 845 | 709 819 | 716 W920 | 23 766 | 730

52.9 52.6 52.3 52.2 [44 52.1

TAQE| RATS ra aay ¢.853 687 | 753 661 | 761 635 | 770 610 | 779 584 | 788
559 | 797 |
533 | 807 508 | 817

52.1

52.2

52.4

:

52.6

. 6 139 53.0

.4 |38 53.4

.2 437 53.9

78.1126 54.4

.9 135 55.1

8

55.8

484 | 828 | 77.6 |33 56.6 460 | 839 | 77.5 | 32 57.5 436 | 851 | 77.4 | 31 58.5 412 | 862 | 77.2 |30 59.5 389 75 | 77.1130 0.6

367 | 888 | 76.9129 1.8 345 | 901 | 76.8128 3.0 323 | 915 | 76.7127 4.3 S02) 1 930+) 7696 N26.” bez 281 | 945 | 76.5125 7.1 261 | 9611764424 8.6

11

16°

$°

A

cS Z ee

°

ne oe

1716 | 560 | 90.0

0

1715 | 560 | 89.7

1

1714 | 560] 89.4

2

1711 | 560] 89.1

3)

1707 | 561 | 88.9

4

1702 | 561 | 88.6

5

1696 | 562 | 88.3

6

1689 | 563 | 88.0

7

1681 | 564 | 87.7

8

1672 | 565 | 87.4

9

1662 | 566 | 87.2

10

1651 | 568 | 86.9

11

1639 | 569 | 86.6

12

1626 | 571} 86.3

13

1612 | 573 | 86.0

14

1597 | 5741] 85.8

15

1581 | 577 | 85.5

16

1564 | 579 | 85.2

17

1546 | 581 | 84.9

18

1527 | 5841 84.7

19

1508 | 587 | 84.4

20

1488 | 589 | 84.1

21

1467 | 592 | 83.9

22

1445 | 596 | 83.6

23

TAO, || OS ||SRS

24

1399 | 602 | 83.1

25

1375 | 606 | 82.8

26

1351 | 610 | 82.6

27

1326 | 613 | 82.3

28

1300 |_618 |82.1

29

(DyZe| |Coan Ie

30

1247 | 626] 81.6

31

1220 | 631 | 81.4

32

1AOSOS G36 esl

33

1165 | 641 | 80.9

34

11110386} | 664516 || 8800..47

3356

1079 | 657 | 80.2

37

1049 | 663 | 80.0

38

1020 | 669 | 79.8

39

990 | 675 | 79.6

40

961 | 682 | 79.3

Al

931 | 688 | 79.1

42

901 | 695 | 78.9

43

rr Als VAGPA||ASS7

44

841 | 710 | 78.5

45

Sit ye 71S esos

46

7S we 125i ere

AT

752 | 734 | 78.0

48

(PPA FER ||BES

49

693 | 751 | 77.6

50

663 | 761 | 77.4

51

634 | 770 | 77.3

52

606 | 780 | 77.1

53

578 | 790 | 76.9

54

550 | 801 | 76.8

55

BOR ES1O the7Gs6

56

495 | 823 | 76.5

57

468 | 835 | 76.3

58

442, | 848 | 76.2

59

416 | 860 | 76.1

60

391 | 874 | 75.9

61

367 | 888 | 75.8

62

343 | 903 | 75.7

63

319 | 918 | 75.5

64

297 | 934 | 75.4

65

a |
Table
Il
/ a =)
. | | Explanaae : of the — c onstruction and Use of se
Tables
| .

r Oe ee e

| ee

12

t°

L°

b

°

7

0|90 0.0 1 | 88 57.3 2 | 87 54.5

3 | 86 51.8 4 | 85 49.1

5 | 84 46.4 6 | 83 43.7 7 | 82 41.0

8 | 81 38.4 9 |80 35.8

10 |79 33.2 11 | 78 30.6 12 7% 28.4 13 | 76 25.7 14 | 75 23.2

15 | 74 20.9

16 | 73 18.5 17 |72 16.3

18 |71 14.0 19 |70 11.9

20 | 69 9.8 21 |68 7.8 22 | 67 5.8 23 |66 3.9 24|65 2.1

25 |64 0.3 26 | 62 58.7 27 | 61 57.1 28 | 60 55.5 29 |59 54.1

30 | 58 52.8

31 | 57 51.5 32 | 56 50.3 33 | 55 49.2 34 | 54 48.2

35 | 53 47.3

36 | 52 46.5 37 | 51 45.7

38 | 50 45.1 39 |49 44.6

40 |48 44.1 Al |47 43.7 42 |46 43.5 43 | 45 43.3 44 | 44 43.2

45 | 43 43.2 46 |42 43.3 47 'Al 43.5 48 |40 43.8 49 | 39 44.2

50 | 38 44.7 51 | 37 45.3

52 | 36 45.9 53 |35 46.7 54 | 34 47.5

55 |33 48.4 56 |32 49.4

57 | 31 50.5 58 |30 51.7 59 |29 52.9

60 |28 54.2 61 | 27 55.7 62 | 26 57.1 63 |25 58.7 64 |25 0.3 65 |24 2.0

17°

A

G

TABLE [

1940 | 534

mt)

1940 | 534

i:

1938 | 534

4

1935 | 534

: ft

1930 | 535

is

1925 | 536

Pe

1918 | 536

2

1911 | 537

.9

1901 | 538

.6

1890 | 539

3

1879 | 541

0

1867 | 542

+!

1853 | 543

. 4

1838 | 545

‘oe

1822 | 547

58

1805 | 549

5

1786 | 551

We

1768 | 553

9

1748 | 556

.6

1726 | 558

3

1704 | 561

0

1681 | 564

aa

1657 | 567

.5

1632 | 570

.2

1607 | 573

9

1581 | 577

6

1553 | 580

4

1526 | 584

<i

1497 | 588

s

1469 | 592

.6

1439 | 596

=3

1409 | 601

Pr|

1378 | 605

o

1346 | 610

Ss

1315 | 615

ne

1282 | 620

rt

1250 | 626

es

1218 | 631

.6

1185 | 637 Ke

1151 | 644

vib

1117 | 650

“9

1084 | 656

ae

1050 | 663

al

1016 | 670

2

982 | 677

0

949 | 685

“8

;

914 | 692

.6

:

881 | 700 | 77.4441 34.1

848 | 709

2

:

S14.) 717 .0

(ial 726

.8

74g, 735 .6

715 | 744 eS

683 | 755

a

651 | 765

dl

619 | 775

.9

588 | 786 a;

558 | 798 . 6

528 | 810

5

498 | 822

hee

469 | 835

fe

:

441 | 849

.0

,

413 | 862

ms

)

386 | 877 is

:

359 | 892

.6

:

334 | 908 | 74.5 '23 55.0

18°

A

G

Z

fe]
2179 | £10 | 90.0 2178 | 510! 89.7 2176 | 510 | 89.4 2173 | 510 | 89.0 2168 | 511 | 88.7 2162 | 512 | 88.4 2155 | 512 | 88.1 2146 | 513 | 87.7 2134.| 514.) $224 2123 | 515 | 87.1 2110 | 517 | 86.8 2096 | 518 | 86.5 2080 |} 519 | 86.1 2064 | 521 | 85.8 2046 | 523 | 85.5 2026 | 525 | 85.2 2006 | 527 | 849 1984 | 529 | 84.6 1962 | 532 | 84.3 1938 | 534 | 84.0 1913'| 5387 | Sam 1887 | 539 | 83.4 1860 | 543 | 83.1 1832 | 546 | 82.8 1803 | 549 | 82.5 1774 | 553 | 82.2 1743 | 556 | 81.9 1712 | 560] 81.6 1680 | 564 | 81.3 1647 | 568 | 81.0 1613 | 572 | 80.8 1580 | 577 | 80.5 1545 | 581 | 80.2 1510 | 586 | 80.0 1474 | 591 | 79.7 1438 | 597 | 79.4 1401 | 602 | 79.2 1365 | 607 | 78.9 1327.|. 613.) 78x¢ 1290 | 619 | 78.4 1252 | 626 | 78.2 1215 | 632 | 78.0 1177 | 639 | 77.7 1138 | 646 | 77.5 1101 | 653 | 77.3 1063 | 660 | 77.1 1024 | 668 | 76.8
987 | 676 | 76.6 949 | 685 | 76.4 911 | 693 | 76.2 874 | 702 | 76.0 837,| 712 1 75 800 | 721 | 75.6 764 | 730] 75.5 728.) 741 |)Ges 693 | 758 | 75.1 658 | 762 | 74.9 624 | 774] 74.8 590 | 785 | 74.6 557 | 798 | 74.4 525 | Sir | Fes 493 | 824] 74.1 462 | 838 | 74.0 432 | 853 | 73.9 402 | 868 | 73.7 373 | 8841! 73.6

©PONE COn ONTIO

ie

19°

Lie

b

A

C

Z'

b

an OMA MESES IEC i |e TOL ETO TTT

0|90 0.0 i | 88 56.5 2 | 87 53.1 3 | 86 49.6 4 | 85 46.2
rar |640428 6 | 83 39.4 7 | 82 36.1 8 | 81 32.7 9 | 80 29.4
10 | 79 26.2 11 | 78 23.0 12 | 77 19.8 13 | 76 16.7 14 | 75 138.7
15 | 74 10.7 NG Ges CSth 17 | 72 4.9 TSe eels p22 19 | 69 59.4
20 | 68 56.8 21 | 67 54.2 22 | 66 51.8 23 | 65 49.4 24 | 64 47.1
25 | 63 44.9 26 | 62 42.8 27 | 61 40.8 28 | 60 38.9 29 | 59 37.1
30 | 58 35.5 31 | 57 33.9 32 | 56 32.4 33 | 55 31.1 __ 34 | 54 29.8
35 | 53 28.7 36 | 52 27.7 37 | 51 26.8 38 |50 26.0 __39 |49 25.3 |
40 | 48 24.8 41 | 47 24.3 42 | 46 24.0 43 | 45 23.8 44 | 44 23.7
45 | 43 23.8 46 | 42 23.9 47 | 41 24.2 48 | 40 24.6 __ 49 | 39 25.1
50 | 38 25.7 51 | 37 26.4 52 | 36 27.2 53 | 35 28.2 54 | 34 29.2
55 | 33 30.4 56 | 32 31.7 57 | 31 33.1 58 | 30 34.5 59 | 29 36.1
60 | 28 37.8 61 | 27 39.6 62 | 26 41.4
3 | 25 43.4 64 | 24 45.4 65 | 23 47.6

2433 | 487 | 90.0190 0.0 2432 | 487 | 89.7 | 88 56.2 2430 | 487 | 89.3 | 87 52.3
2426 | 488 | 89.0 | 86 48.5 2420 | 488 | 88.6 | 85 44.7

2413 | 489 | 88.3 | 84 40.9 2405 490 | 87.9 | 83 37.1 2395 | 490 | 87. 6 | 82 33.3
2383 491 | 87.3 | 81 29.6 2370 | 492 | 86.9 7 80 26.0

2355 | 494 | 86.6 | 79 22.3 2339 | 495 | 86.2 | 78 18.8 2322 | 497 | 85.9 | 77 15.3

2303 499 | 85.6 | 76 11.8 2283 500 | 85.2 175 8.4

2261 502 | 84.9174 5.1

2238 | 504 |}84.6 ]73 1.8
2214 | 506 | 84.3 | 71 58.7 2189 | 509 | 83.9 | 70 55.6

2162 | 511 | 83.6 | 69 52.6

2134 514 | 83.3 |68 49.6
2105 517 | 83.0 | 67 46.8 2075 520 | 82.7 |66 44.1

2043 523 | 82.3 | 65 41.4 2012 526 | 82.0 | 64 38.9

1978 | 530} 81.7 | 63 36.5

1944 | 534 | 81.4 | 62 34.1 1909 | 537 | 81.1 | 61 31.9

1872 541 | 80.8 | 60 29.8

1836 | 545 | 80.5 | 59 27.9

1798 | 550 ; 80.2 |58 26.0

1761 554 | 79.9 |57 24.3 1721 559 | 79.7 |56 22.6

1682 564 | 79.4 455 21.1 1643 | 569 | 79.1 | 54 19.8

1602 574 | 78.8 153 18.5 1561 579 | 78.6 |52 17.4
1520 | 585 | 78.3 |]51 16.4 1478 | 591 | 78.0 | 50 15.5

1486 | 597 | 77.8 |49 14.8

1395 | 603 | 77.5 | 48 14.2
13852 | 609 | 77.3 |47 13.7 1310 | 616 | 77.0 | 46 13.4
1268 | 623 | 76.8 445 13.2 1225 | 630 | 76.5 | 44 13.1

1183 638 | 76.3 |43 13.2 1140 | 645 | 76.1 | 42 13.3 1098 | 653 | 75.9 7 41 13.6 1056 ! 662 | 75.6 |40 14.1 1014 | 670 | 75.4 | 39 14.6

972 | 679 | 75.2 138 15.3

931 688 | 75.0 | 37 16.2 890 | 698 | 74.8 | 36 17.1 850 | 708 | 74.6 | 35 18.2 810 | 718 | 74.4 | 34 19.3

a

729 | 74.2 133 20.6

732 | 740 | 74.1 932 22.1

694 | 751 | 73.9 |31 23.6

656 | 763 | 73.7 | 30 25.2

619 | 775 | 73.6 | 29 27.0

583 788 | 73. 4 |28 28.9 548 | 802 | 73.2 | 27 30.8

513 | 816 | 73.1 | 26 32.9 480 | 830 | 72.9 | 25 35.1 446 | 846 | 72.8 | 24 37.4
415 | 861 | 72.7 $23 39.7

20°

te

A

Carieees TiBEe

ore Te Oen nT

2701 466 | 90. 0

0

2701 466 | 39.6

1

2698 | 466 | 89.3

2

2693 | 466 | 38.9

3

2688 | 467 | 88.5

4

2679 | 467 | 88.2

5

2669 | 468 | 87. 8

6

2659 | 469 | 87.5

a

2646 | 470 | 87.1

8

2001 471 | 86.7

9

2615 | 472 | 86.4

10

2597 | 474 | 86.0

11

2577 | 475 | 85.7

12

2556 | 477 | 85.3

13

2534 | 479 | 85.0

14

2510 | 481 | 846

15

2484 | 483 | 84.3

16

2457 | 485 | 83.9

iWé

2429 | 488 | 83.6

18

2398 | 490 | 83.2

19

2367 | 493 | 82.9

20

2335 | 496 | 82.6

21

2301 499 | 82.2

22

2266 | 502 | 81.9

25

2231 505 | 81.6

24

2194 | 508 | 81.3

25

2156 | 512 | 80.9

26

2116 | 516 | 80.6

27

2076 | 520 | 80.3

28

2035 | 524 | 30.0

29

1994 | 528 | 79.7

30

1952 533 | 79. 4

31

1909 | 537 | 79.1

32

1864 | 542 | 78% 8

33

1820 | 547 | 78.5

34

1775 552 | 78.2

35

730) | oa8) ide 9

36

1683 563 | 77.6

ov

1637 | 569 | 77.4

38

1591 BD) doe

39

1544 | 581 | 76.8

40

1497 | 588 | 76.6

Al

1451 595 | 76.3

42

1403 | 602 | 76.1

43

1356 | 609 | 75.8

44

1308 | 616 | 75.6

45

1262 | 624 | 75.3

46

1215 | 632 | 75.1

47

1168 | 640 | 74.9

48

1122 649 | 74.6

49

1076 | 658 | 74.4

50

1030 | 667 | 74.2

ol

985 | 676 | 74.0

52

94%| 686 | 73.8

53

896 | 697 | 73.6

54

852 | 707 | 73.4

55

SLOn Fai S) |edey.2

56

767 | 730 | 73.0

57

725 742 | 72.8

58

685 | 754 | 72.7

59

645 767 | 72.5

60

605 780 | 72.3

61

567 | 794 | 72.2

62

530 | 809 | 72.0

63

494 |} 824 | 71.9

64

458 | 840! 71.7

65

14

TABLE |

ive
0|90 0.0 1 | 88 55.7 2 3 | 86 47.2 4 | 85 43.0
5 | 84 38.8 6 | 83 34.6 7 | 82 30.4 8 | 81 26.3 9 | 80 22.3
10 | 79 18.3 11 | 78 14.3 12 | 77 10.4 13 | 76 6.6 14 |75 2.8
15 | 73 59.2 16 | 72 55.8 17 | 71 52.0 18 | 70 48.6 19 | 69 45.3
20 | 68 42.1 21 | 67 38.9 22 | 66 35.9 23 | 65 33.0 24 | 64 30.2
25 | 63 27.5 26 | 62 25.0 27 | 61 22.5

2985 | 446 | 90

2984 | 446 | 89 2981 | 446 | 89

2976 | 446 | 88 2969 | 447 | 88

2961 447 | 88 2950 | 448 | 87

2938 | 449 | 87 2923 | 450 | 86

2907 | 451 | 86

2889 | 452 | 86

2869 | 454 | 85,

2847 | 455 | 85

2823 | 457 | 85.

279

459 | 84

2771 461 | 84 2743 | 463 | 84

2713 | 465 | 83
2681 | 467 | 83 2649 | 470 | 82

2614 | 473 | 82 2578 | 475 | 82. 2541 | 478 | 81

2502 | 482 | 81 2462 | 485. 81

2421 | 488 | 8&0. 2379 | 492 | 80 2335 | 496 | 80

3273 | 427 | 88 3266 | 427 | 88

3256 | 428 | 88.0

5

3245 | 429 | 87.6

6

3231 430 | 87.2

7

3214 | 431 | 86.8

8

3196 | 432 | 86.4

9

3176 | 433 | 86.0

10

3154 | 434 | 85.6

11

3130 | 436 | 85.2

12

3104 | 438 | 84.8

13

3077 | 439 | 84.4

14

3047 | 441 | 84.0

15

3016 | 443 | 83.6

16

2982 | 446 | 83.3

17

2947 | 448 | 82.9

18

2911 451 | 82.5

19

2873 | 453 | 82.1

20

2833 | 456 | 81.8

21

2792 | 459 | 81.4

22

2749 | 462 | 81.0

23

2704 | 466 | 80.7

24

2660 | 469 | 80

25

2612 | 473 | 80

26

2565 | 477 | 79

27

2203 | 508 | 77

34

35 | 53 36 | 52

1957 | 532 | 77. 1907 | 537 | 77.

2148 | 513 | 77

35

2092 | 518 | 76

36

37 | 51 38 | 50 __39 | 49

1856 | 543 | 77 1805 | 549 | 76 1753 | 555 | 76

2036 | 524 | 76

37

1979 530 | 76

38

1923 | 536 | 75

39

40 | 48 41 | 47 42 | 46 43 | 45

1701 561 | 76 1650 | 568 | 75 1597 | 574 | 75, 1545 581 | 75.

1866 | 542 | 75.4

40

1809 548 | 75. 2

41

1752 | 555 | 749

42

1694 | 562 | 74.6

43

.3

asOr i (Jr)
47 | 41 48 | 40 __ 49 | 39

1338 612 | 74. 1287 620 | 74. 1235 | 629 | 73

4.1

. 8

50.8

1465 593 | 73.5

47

51.4

1409 ! 601 | 73.3

48

52.1

1353 609 | 73. 0

49

50 | 38
51 | 37 52 | 36 53 | 35 54 | 34

1184 637 | 73
1134 | 647 | 73 1083 656 | 73 1034 | 666 | 73
986 | 676 | 72

53.0

1297 618 | 72.8

50

54.0

1241 627 | 72.6

51

55.2

1187 637 | 72.3

52 .

56.5

1133 647 | 72.1

53

57.9

1080 | 657 | 71.9

54

55 | 33 1

938 | 687 | 72

32 59.6

1026 | 668 | 71.7

55

56 | 32 1

890 | 698 | 72

32 1.3

974 | 679 | 71.5

56

57 | 31 1NWoNwESWWwIWNo)OWREtNOOAAANTMNNE)844 | 709 | 72.

31 3.2

923 690 | 71.3

57

58 |30 15.me OM5P=Oo]OV eOORI1N98OM| NFOak)SOeOe N 30 5.2

873 (02. (78

58

59 | 29 17.4

752 | 733 | 71.CRDMRCTCORTWWOHNOIUOOAOHNWHNIDA2NOKNOTE9MIWOOOEANW7!.I4 WONA8O24 | 714 | 70.9

59

60 | 28 19.5

709 746 | 71.6 [28 9.6

776 vat | TO

60

61 | 27 21.7

666 | 760 | 71.4 |27 12.0

728 | 741 | 70.5

61

62 | 26 24.0

623 774 | 71.3 | 26 14.6

683 755 | 70,4

62

63 | 25 26.4

583 789 | 71.1 |25 17.2

637 | 769 | 70.2

63

64 | 24 28.9

543 804 | 71.0 | 24 20.0

593 785 | 70.0

64

65 | 23 31.5

504 | 820 | 70.8 |23 22.9

551 801 | 69.9

65

TABLE I]

15

t°

23°

24°

+?

L°

b

A

C Zi

A

G Z pay

———= "=~ alo ny ip el|

a (cs anes

iacaean:

0|90 0.0) 3597] 408 0 1 |88 54.8] 3596] 408 . 6 2 |87 49.6| 3593] 408 ne 3|86 44.5| 3587 | 409 i

3927 | 391 | 90.0

0

3925 | 391 | 89.6

1

3922 | 391 | 89.1

2

3915 | 391 | 88.7

3

4 |85 39.3] 3578} 409 3

3907 | 392 | 88.2

4

5 |84 34.2| 3567 | 410 9

E 3894 | 392 | 87.8

5

6 |83 29.2} 3555] 411 a

é 3880 | 393 | 87.3

6

7 |82 24.1| 3540] 411 .0}

; 3863 | 394 | 86.9

7

8 |81 19.2} 3521 | 412 Pon

‘ 3844 | 395 | 86.5

8

9 |80 14.2} 3503] 414 ON

9.9| 3822] 396 | 86.0

9

10/79 94] 3480 | 415 | 85.8 | Bes |S TOV asore Sou

10

11|78 4.6] 3455 | 416 PAM 59.8 | CSTs) P300 S5ed

11

12 |76 59.9| 3429] 418 0176 54.11 3741 | 400 | 84.7

12

13 |75 55.2| 3401 | 419 .5 175 49.0] 3711] 402 | 84.3

13

14 |74 50.7| 3370 | 421 _1]|74 44.1] 3677 | 404 | 83.9

14

15 |73 46.2) 3337 | 423 | 83.773 39.2; 3640 | 406 | 83.4

15

16 |72 41.9| 3303 | 425 | 83.3172 34.4| 3602] 408] 83.0

16

17 |71 37.6| 3265 | 428 | 82.9]71 29.8| 3562] 410] 82.6

17

18 |70 33.5| 3226 | 430 | 82.5170 25.3| 3519 | 412] 822

18

19 |69 29.5] 3186 | 432 1469 20.9} 3475 | 415 | 81.8

19

— 20 | 68 25.6| 3144] 435 .7 168 16.6{ 3429| 418 | 81.3

20

21 | 67 21.8; 3100] 438 4167 12.5] 3381 | 421 | 80.9

21

22 |6618.1| 3055] 441 .0/66 8.5] 3332] 424 | 80.5

22

93 |65 14.6| 3008] 444 16165 4:7) 3279 | 427 | 801

23

94/64 11.3} 2960| 447 .2164 1.0] 3226] 430 | 79.7

24

95 |63 81| 2910| 451 KSile2 aes i) cSivk|' 2433 179.3

25

96 |62 5.0; 2858] 454 .5 161 54.2| 3115 | 437 | 79.0

26

27|61 2.1) 2806] 458 .1 160 51.0] 3057 | 441 | 78.6

27

28 |59 59.3| 2752] 462 .7 459 48.0] 2999] 445 | 78.2

28

29 |58 56.7| 2697] 466 .4158 45.11 2938 | 449 | 77.8

29

30 |57 54.2| 2640] 471 NOM DI 42'S a8 7GN 4580 aes

30

31156 51.9| 2583 | 475 .7 156 40.0] 2814] 458] 77.1

31

32 |55 49.8) 2525 | 480 .3 155 37.7| 2751 | 462 | 76.7

2

33 |54 47.8| 2467 | 485 .0 4-54 35.5] 2686 | 467 | 76.4

33

34153 46.1] 2407 | 490 .6 153 33.6] 2621 | 472 | 76.0

34

~ 85 |52 44.4] 2347 | 495 NOUBA N S| 25550 | M47 bN 7

35

36 |51 43.0} 22861 500 Outi S0:3 1), |2488) | 483. 7S3 36

37 |50 41.7] 22251 506 .7 150 28.9| 2421] 488 | 75.0

37

38 |49 40.6| 2163 | 412 .4|49 27.7| 2354] 494] 74.7

38

__ 39 |48 39.7| 2100 | 518 0] 48 26.7] 2286 | 500 | 74.3

39

40 |47 38.9| 2038 | 524 7 |47 25.9| 22171 506 | 74.0

40

41 |46 38.3] 1975 | 530

4|46 25.3] 2149] 513 | 73.7

Al

42 |45 37.9| 1913] 537

1] 45 24.9] 2080] 520 | 73.4

42

43 |44 37.7| 1850] 544 EO) AA ET 2012) 527 731

43

44 |43 37.7| 1786 | 551 .6 143 24.6| 1943 | 534 | 72.8

44

45 |42 37.8| 1724] 559 .3 | 42 24.8) 1874] 541 | 72.5

45

46 |41 38.1| 1661 | 566 NOMAD ARs 1807 Ie 529) 72 2

46

47 |40 38.5| 1599 | 574 | 72.8 '40 25.7] 1739 | 557 | 72.0

47

AS Ses 9 ts 61537 588 1-72,5 139) 26:4) 1671. | 565 | 7 7 48

49 |38 40.0| 1476] 591 | 72.2138 27.3] 1604] 574 | 71.4

49

OM |sae40l9| L215 GOON e725 ONIST28.3 | 91587 le 5838) (ize2 50

51 |36 42.1 1354 | 609 | 71.7 |36 29.6| 1472| 592] 70.9

51

52 | 35 43.4) 1295] 619 | 71.5135 31.0] 1406] 601 | 70.7

52

53 |34 44.8| 1235] 6291 71.3134 32.6] 1341] 611 | 70.4

53

es 3 4G 177) 639) |7. O83 BHA) 1978 | 1621 |,70!2 54

55 |32 48.2| 1119] 650/ 70.832 36.4; 1216| 632 | 70.0

5

56 |31 50.1| 1063] 661 | 70.6 {31 38.5] 1153] 643 | 69.7

56

57 |30 52.2} 1007] 672 | 70.4130 40.7| 1093] 655 | 69.5

57

58 |29 54.4

952 | 684 | 70.2429 43.2} 1033] 666 | 69.3

53

59 |28 56.8

898 | 696 | 70.0 |28 45.8

974 | 679 | 69.1

59

60 |27 59.3

845 | 709 | 69.8 |27 48.5

917 | 692 | 68.9

60

61|27 2.0

793 | 723 | 69.6 |26 51.4

861 | 705 | 68.7

61

62 26 47

743 | 737 | 69.5 |25 54.5

806 | 719 | 68.5

62

G3) 25 27

694 | 751 | 69.3 |24 57.6

753 | 734 | 68.4

63

64 |24 10.7

647 | 766 | 69.1424 1.0

702 | 749 | 68.2

64

65 |23 13.9

601 | 782 | 69.0]23 4.4

651 | 765/680!

65

——
e a‘ e

16

tet

T°

b

°

7

0 | 90 1 | 88 2 | 87 8 | 86 4 | 85

0.0 53.8 47.6 41.4 35.3

5 | 84 6 | 83 7 | 82 8 | 81 9 | 80

29.2 23.1 17.1 11.1
5.2

10 | 78 59.4 LT Gide aes 12 | 76 48.1 13 | 75 42.5 14 | 74 37.1

15 | 73 31.8 16 | 72 26.6 FAIS ALS eAea) 18 | 70 16.6 19 | 69 11.8

20 | 68 7.2 PRN (B70 22 | 65 58.4 23 | 64 54.2 24 | 63 50.2

25 | 62 26 | 61 27 | 60 28 | 59 5320 58

46.4 42.8 39.3 36.1 33.0

30 | 57 30.1 31 | 56 27.4 32 | 55 24:9 33 | 54 22.6 34 | 53 20.5

35 | 52 36 | 51 37 | 50 38 | 49 39 | 48

18.6 17.0 15.5 14.2 13.2

40 | 47 12.3 41 | 46 11.7 42 | 45 11.2 43 | 44 11.0 44 |}42 11.0

45 | 42 11.2 46 { 41 11.6 47 ,40 12.2 48 | 39 13.0 49 | 38 14.0

50 51 De 53 aoe

| 37 | 36 | 35 | 34
33

15.1 16.5 18.1 19.9 21.8

55 | 32 24.0 56 | 31 26.3 57 | 30 28.8 58 | 29 31.4 59 | 28 34.3

60 | 27 61 | 26 62 | 25
3 | 24 64 | 23 65 i 22

37.3 40.4 43.7 47.2 50.8 54.6

25°

A

C

Tasie I

4272

374

. O

4271

374

os

4267

374

i: E

4260

SID)

. 6

4250

oo

Pout

4236 4221 4203 4181 4158

SLO lane e 376 | 87. 2 BYE bs say 378 | 86.3 379 | 85.8

4131 4101 4069 4035 3998

3881 | 85. 4 382 | 84.9 384 | 84.5 385 | 84.0 387 | 83.6

3958 3917 3873 3826 3778

389 | 83.1 391 | 82.7 O00! loans 396 | 81.8 398 | 81. 4

3727 3675 3620 3563 3505

401 | 80. 9 404 | 80. 5 407 | 80. 1 410 | 79. 7 alley |) 78h a

3446 3384 3320 3256 3190

417 | 78.9 420 | 78. 4 424 | 78.0 AQRE VAC hel ASD hens

3122

437 | 76.9

§

3054

441 | 76.5

js

2985

446 | 76.1

2915

450 | 75.8

9.0

2844

A55: | 5, 4

6.8

Drie. 461 | 75.0

4.8

2700

466 | 74 7

3.0

2626

AW2, | 74.3

1.4

2553

478 | 74.0

6.1

2479

484 | 73.6

8.9

2405

490 | 73.3

8.0

2330

496 | 73.0

7.4

2255

5OSuiedeana

‘

2180

SLOW Mane

2106

Pile haa

2031 1957 1883 1811 Tewe

525 ses Bey Ty DAO aetes 548 | 70.9 557 | 70. 6

1665 1592 1522 1452 1383

566 | 70.3 yy eae 585 | 69.8 595 | 69. 6 605 | 69. 3

1315 1248 1182 IL bye 1054

615 | 69. 1 626 | 68.9 638 | 68. 6 650 | 68. 4 662 | 68. 2

992

675 | 68.0

931

688 | 67.8

872

702 | 67.6

815

GA | \ROtee

758

Tere Nive

704

(AS inGienl

2

t pee

°

0

0

5

1

0

2

5

3

1

4

4595

360 | 87. 6

5

4578

361) aaa

6

4557

361 | 86.6

iL

4534

362 | 86. 1

8

4508

363 | 85.6

9

4479

360) jeeones

10

4447

366 | 84. 7

11

4412

368 | 84. 2

12

4374

3869 | 83.7

Ves

4334

od) Nees

14

4291

303) |)Sao

15

4245

SYAa |poa,

16

4197

378 | 81.9

Llir

4146

380 | 81. 4

18

4093

382 | 81.0

19

4038

385 | 80.5

20

3981

388 | 80. 1

Ail

3921

391 | 79.6

22

3859

394 | 79. 2

23

3796

397 | 78.8

24

3730

401 | 78. 4

25

3663

404 | 77.9

26

3595

408 | 77.5

we

8525

412. | tee

28

3453 ' 4160) 7Gua

29

3380

421 | fovea

30

3306

425) | 7a

Sy

3230

430 | 75. 5

32

3153

A434) Oia

33

3076

440 | 74. 7

34

2998

445 | 744

35

2918

450 | 74.0

36

2840

456 | 73.6

37

2759

A462“ faa

38

2678 SOS, haa

39

2598

474 | 72.6

40

2517

480 | 72.3

41

2436

487 | 71.9

42

2355

494 | 71.6

43

2275

501 |v bes

44

2194

509 | 71.0

45

Palas) 516 | 70. 7

46

2033

524 | 70. 4

47

1954

53a) |)7Onk

48

1874

541 | 69.8

49

1796 1719 1643 1567 1492 |

550 | 69. 5

50

559 | 69. 2

5

569 | 69.0

52

579 | 68. 7

53

589 68. 5 mi 54

1419

600 |; 68. 2

55

1345

611 | 68.0

56

1274

622 |"6748

or

1205

634 | 67. 5

58

1136

646 | 67. 3

59

1069

659 | 67.1

60

1004

673 | 66.9

61

940

687 | 66. 7

62

878

701 | 66.5

63

817

716 | 66.3

64

758

Ol neOOae

65

TaBLe I

7

0

. O

90. 0

0

1

hy)

89. 5

1

2

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88. 9

2

3

5 |

88. 4

3

4

0

87. 9

4.

5

. 58 |

87. 3

5

6

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86. 8

6

7

4

86. 3

7

8

9

85. 8

8

9

4 Ff

85. 2

9

10

.9 |

84. 7

10

11

84, 2

11

12

83. 7

1172

13

5

Soe,

13

14

0

By, 7/

14

15

5

S22

15

16

0

81. 7

16

17

5

81. 2

17

18

1

80. 7

18

19

6

80. 2

19

20

en)

79.7 20

21

ee |

79. 2

21

22

on

78. 7

22

2234

a “il

e77s.833

2234

25

8 |

77.3 25

26

A |

76. 9

26

27.

.0 |

76. 4

Qi

2289

Lt&i |

7765.. 05

2289

30

cal

75. 1 30

31

5) |

14. 7

31

3332

95 ||

7743..39

3323

34

Sail

73. 4

34

35

» at

73. 0

35

36

ome

72. 6

36

37

0!

TF

BY

3398

£}6) |

7711..59

3389

40

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3

Ciba

40

41

On

3

70. 8

Al

42

nee

3

70. 4.

42

43

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5

70. 1

43

44

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:

69. 7

44.

45 | 41 42.1

2362

493 | 70.2 | 41 26.6

2535

479 | 69. 4

45

46 | 40 42.6

2275

501 | 69.9 7 40 27.2

2442

487 | 69.1

46

47 | 39 43.3

2189

509 | 69.6 § 39 28.0

2349

495 | 68.8

AT

48 | 38 44.3

2102

Hl

La

E

2256

503 | 68. 4

48

49 | 37 45.6

2017 | 526

. 0

2164

511 | 68.1

49

50 | 36 47.0

1933

535

a

51 | 35 48.7

1849

544

4

52 | 34 50.6

1766

554

»

53 | 33 52.7

1684

563

.9

54 | 32 55.0

1604

574

.6

2073

520 | 67.8

50

1983

530 | 67.5

51

1894

539 | 67. 3

52

1807

549 | 67.0

53

1719

559 | 66. 7

54

55 | 31 57.6

1525

584 | 67. 3

1635

570 | 66. 5

55

56 | 31 0.3

1446

595 | 67.1

1551

581 | 66. 2

56

57 | 30 3.3

1370

607 | 66. 9

1468

592 | 66. 0

7/

58 | 29 6.4

1295

619 | 66. 6

1387

604 | 65. 7

58

59 | 28 9.8

1221

631 | 66. 4

1308

GlivalGoe5

59

60 | 27 13.3

1149

644 | 66. 2

1231

629 | 65.3

60

e a e

61 | 26 17.1

1079

657 | 66. 0

1155

642 | 65.1

61

62 | 25 21.0

1010

671 | 65.8

1081

657 | 64.9

62

63 | 24 25.1

943

686 | 65. 6

1010

671 | 64 7

63

64 | 23 29.3

878

701 | 65. 4

940

687 | 64.5

64

65 | 22 33.7

815

TA) Os, &

872

702 | 64.3

65

18

4°

L°

b

Co

wi

0|80 1 | 88 2 | 87 3 | 86 4 | 85

0.0 51.4 42.8 34.3 25.7

5 | 84 6 | 83 7 | 82 8 | 80 9 | 79

17.3 8.9 0.5
52.3 44.1

10 | 78 36.1 11 | 77 28.2 12 | 76 20.4 13 | 75. 12:8 14 | 74 5.3

15 | 72 16 | 71 17 | 70 18 | 69 19 | 68

58.0 50.9 43.9 37.2 30.7

20 | 67 24.3 21 | 66 18.2 22 | 65 12.3 23 | 64 6.7 24 |63 1.3

25 | 61 56.1 26 | 60 51.2 27 | 59 46.6 28 | 58 42.2 29 | 57 38.1

30 | 56 34.2 31 | 55 30.7 32 | 54 27.4 33 | 53 24.4 34 | 52 21.6

35 | 51 36 | 50 37 | 49 388 | 48 39 | 47

19.2 17.0 15.2 13.6 12.3

40 | 46 11.2 41 | 45 10.5 42 | 44 10.1 43 |43 9.9 44 | 42 10.0

45 | 41 10.4 46 | 40 11.1 47 ,39 12.0 48 | 388 13.2 49 | 37 14.7

50 | 36 16.5 51 | 35 18.5 52 | 34 20.7 Isa) ||378) 7-833 54 | 82 26.0

55 | 31 29.0 56 | 30 32.3 57 | 29 35.8 58 | 28 39.5 59 | 27 43.4

60 | 26 61 | 25 62 | 24 63 | 24 64 | 23 65 |)22

47.5 51.9 56.4
1.2 6.1 11.3

TABLE I

239°

A

C

Z’

O°

5818 5816 5809 5800 5786

314 | 90.0 314 | 89. 4 315 | 88.9 315 | 88.3 315 | 87.8

5767

316

ie,

5745

317

m7

5719

318

bed

5689

319

. 6

5655

320

. 0

5618 5577 5531 5483 5431

321

55

322 | 84.0

324 | 83. 4

326 | 82.9

327 | o2. 4

5376 5317 5255 5190 5122

329 , 81.8

331

so

334

. 8

336 | 80. 3

339 | 79.8

5052 4977 4901 4823 4741

341

res

344 | 78.8

347 | 78.3

350 | 77.8

S54 Niaials

4658 4573 4485 4395 4304

357 | 76.8

361

433

364 | 75.9

368 | 75.4

373 | 75.0

4211 4117 4021 3924 3826

BY ra (es:

381

sal

386 | 73.6

391

Hes

396

8

3727

401

A

3627

406

. 0

3527

412

. 6

3426

418

a

3324

424

. 8

3222 3120 3019 2917 2816
2715 2614 2514 2414 2316

430

. 4

437 | 70.0

443 | 69. 7

450 ; 69.3

457 | 68.9

465 | 62.6 473 | 63.3

| 480 | 67.9 * 38 489 | 67.6 | 37 497 | 67.3 | 36

F 55.4 56.8 58.4

2218

506 | 67. 0

0.3

2122

516 | 66. 7

2.5

2026

525 | 66. 4

5.0

1932

535 | 66. 1

7.7

1839

545 | 65.8

0.7

1748 1558 1569 1483 1398
1315 1234 1155 1079 1004
931

556 | 65. 6 567 | 65.3 578 | 65.1 590 | 648 602 | 64.6
615 | 64 4 629 | 64. 1 643 | 63. 9 657 | 63. 7 673 | 63. 5 688 | 63. 3

4.0 1.5 PAL he 25.2 29.3
33.9 38.6 43.5 48.6 53.9 59.4

39°
A
6247 6245 6238 6227 6212
6193 6168 6139 6107 6070
6029 5984 5937 5883 5827
5767 5704 5637 5566 5492
5416 5337 5254 5169 5082
4991 4899 4804 4708 4608
4509 4407 4304 4199 4094
3987 3880 alae 3663 3554
3446 3336 3226 3117 38008
2899 2792 2684 2578 2472
2367 2264 2162 2061 1962
1863 1768 1673 1581 1490
1401 1315 1231 1149 1069
992

C

Z’

[e)

301 ; 90.0 301 | 89.4 301 | 88.8 302 | 88.3 302 | 87. 7

303 | 87.1 303 | 86.5 304 | 86.0 305 | 85. 4 306 | 848

308 | 84. 3 309 | 83. 7 Sli sane 312 | 82.6 314 | 82.0

316 | 81.5 318 | 81.0 320 | 80. 4 323 | 79.9 325 | 7one

328 | 78.8 331 | 78.3 334 | 77.8 Sal | Mites 340 | 76.8

344 | 76.3 347 | 75.8 351 | 75.3 355 | 74.8 359 | 74.3

364 | 73.9 368 | 73. 4 373 | 72.0 Stl ao 382. v2

388 | 71. 7 393 | 71.3 399 | 70.8 405 | 70. 4 411 | 70.0

417 | 69.6 423 | 69.3 430 | 68.9 437 | 68.5 444 | 68.1

452 | 67.8 459 | 67. 4 467 | 67.1 475 | 66.8 484 | 66.5

493 | 66.1 502 | 65.8 512 | 65.5 522 | 65. 2 532 | 65.0

542 | 64. 7 553 | 64. 4 565 | 64 2 577 | 63.9 589 | 63. 7

602 | 63. 4 615 | 63. 2 629 | 63.0 644 | 62.8 659 | 62.6 675 | 62.4

t°

Le

D

°

/

0|90 1 | 88 2 | 87 3 | 86 4 | 85

0.0 50.0 40.0 30.1 20.2

5 | 84 6 | 83 7 | 81 8 | 80 9 | 79

10.3 0.6
50.9 41.3 31.9

10 | 78 22.6 11 | 77 13.4 12 |76 4.4 13 | 74 55.6 14 | 73 46.9

15 | 72 38.5 16 | 71 30.2 17 | 70 22.2 18 | 69 14.4 19 | 68 6.9

20 | 66 59.6 21 | 65 52.6 22 | 64 45.8 23 | 63 39.3 24 | 62 33.1

25 | 61 27.2 26 | 60 21.6 27 | 59 16.3 28 | 58 11.3
29 | 57 6.6

30 | 56 2.3 31 | 54 58.2 32 | 53 54.5 33 | 52 51.1 34 | 51 48.0

35 | 50 45.3 36 | 49 42.9 37 | 48 40.8 38 | 47 39.1 39 | 46 37.7

40 | 45 36.7 41 | 44 35.9 42 | 43 35.5 43 | 42 35.4 44 | 41 35.6

45 | 40 36.1 46 | 39 37.0 47 | 38 38.2 48 | 37 39.7 49 | 36 41.5

50 | 35 43.5 51 | 34 45.9 52 | 33 48.6 53 | 32 51.6 54 | 31 54.8

55 | 30 56 | 30 57 | 29 58 | 28 59 | 27

58.3 2.1 6.2
10.5 15.0

60 | 26 61 | 25 62 | 24 63 | 23 64 | 22 65 | 21

19.9 24.9 30.1 35.6 41.2 47.2

31°
A
6693 6691 6683 6672 6656
6634 6608 6577 6542 6502
6458 6410 6357 6300 6240
6174 6106 6033 5958 5878
5795 5710 5620 §528 5433
5336 5236 5135 5031 4925
4818 4708 4596 4484 4371
4257 4141 4025 3909 3792
3674 3557 3439 3323 3205
3090 2974 2859 2745 2632
2521 2410 2301 2194 2087
1983 1880 1779 1681 1585
1490 1398 1308 1221 1136 1054

TaBieE I
Cw
fo}
288 | 90.0 288 | 89. 4 288 | 88.8 289 | 88. 2 289 | 87.6
290 | 87. 0 291 | 86. 4 291 | 85.8 292 | 85. 2 294 | 846
295 | 84.0 296 | 83. 5 298 | 82.9 299 | 82.3 301 | 81.7
303 | 81. 2 305 | 80.6 308 | 80. 0 310 | 79.5 Biles 4] 74 @)
Om sat 318 | 77.8 BVAL | 7S 324 | 76.8 327 | 76.3
Sel | Tas ay) || 7, ate |b 7/45 7 S42 ie 2 346 | 73.8
BYl |) 7/8 & 355 | 72.8 360 | 72.3 365 | 71.9 370 | 71. 4
375 | 71.0 380 | 70.5 386 | 70. 1 392 | 69. 7 398 | 69. 3
404 | 68.9 410 | 68. 5 417 | 68.1 424 | 67.7 431 | 67.3
439 | 67.0 446 | 66.6 454 | 66. 3 463 | 65.9 471 | 65.6
480 | 65.3 489 | 65. 0 499 | 64.7 509 | 64. 4 519 | 64 1
530 | 63. 8 541 | 63.5 552 | 63. 3 564 | 63. 0 576 | 62.8
589 | 62.5 603 | 62.3 617 | 62.1 631 | 61.8 646 | 61. 6 662 ! 61. 4

32°
A
7158 7155 7147 7135 7/Laly/
7093 7066 7032 6994 6952
6904 6851 6795 6733 6667
6597 6523 6445 6363 6277
6188 6096 6000 5900 5798
5694 5587 5477 5365 §252
5136 5018 4899 4778 4656
4534 4410 4286 4161 4036
3910 3784 3660 3534 3410
3285 3162 3039 2917 2797
2678 2560 2444 2329 2216
2105 1996 1889 1784 1681
1581 1483 1387 1295 1205 1117

i9

+?
(Oeil ie aul 100

°

276 | 90.0

0

276 | 89. 4

1

276 | 88.8

Z

PATS || exes, Al

3

PHT, \| 576

4

277 | 86.9

5

278 | 86.3

6

279 | 85.6

7

280 | 85. 0

8

281 | 84.4

9

282 | 83.8

10

284 | 83.2

11

285 | 82.6

12

287 | 82.0

13

289 | 81.4

14

291 | 80.8

15

293 | 80.2

16

295 | 79.6

17

298 | 79.1

18

300 | 78.5

19

303 | 77.9

20

306 | 77. 4

21

309 | 76.8

22

312 | 76.3

23

BAILEY |) 7/5, 7

24

Ble) |) 7a, W

25

SyPA || 744, 7

26

326 | 74.2

27

330 | 73. 7

28

334 | 73.1

29

States |) 724, 7

30

ayes |) 7G

31

ayer || 7k, #7

SYA

SY || Wik, Be

33

Sa |) 70), 7

34

362 | 70.3

35

368 | 69.8

36

373 | 69. 4

37

379 | 69. 0

38

385 | 68.5

39

392 | 68. 1

40

398 | 67. 7

41

405 | 67.3

42

412 | 66.9

43

419 | 66.5

44.

426 | 66. 2

45

434 | 65.8

4é

442 | 65. 4

47

450 | 65.1

48

459 | 648

49

468 | 64. 4

50

477 | 641

51

486 | 63.8

52

496 | 63.5

53

507 | 63. 2

54

HAIG

2ZL9

55

528 | 62.6

56

540 | 62.3

57

sya |) (oy, al

58

564 | 61.8

59

Se Gk

60

590 | 61.3

61

604 | 61.1

62

61S ; 60.9

63

634 | 60. 7

64

650 | 60. 5

65

20

TasBLe [|

0|;90 90.0

1

48.5

2

36.9

3

25.5

4

14.0

7641 | 264 | 90.0 7639 | 264 | 89.4 7629 | 264 | 88.7 7615 | 264 | 88.1 7597 | 265 | 87.4

8143 | 252 | 90.0

0

8139 | 252 ) 89.3

1

8130 | 253 | 88.7

2

8116 | 253 | 88.0

3

8095 | 253 | 87.3

+

5

2.7

7571 | 266 | 86.8

6

51.4

7541 | 266 | 86.1

if

40.3

7505 | 267 | 85.5

8068 | 254 | 86.6

5

8035 | 255 | 86.0

"8

7996 | 256 | 85.3

7

8

29.2

7464 | 268 | 84.8

9

18.3

7418 | 269 | 84.2

7952 | 257 | 84.6

8

7902 | 258 | 84.0

9

10

7.6

7367 | 271 | 83.6

11

57.1

GolOo! 27213229

12

46.7

7248 | 273 | 82.3

13

36.5

7183 | 275 | 81.7

14

26.6

TAQ 270 Vee

7847 | 259 | 83.3

10

7786 | 260 | 82.7

11

7720 | 262 | 82.0

12

7649 | 264 | 81.4

13

7572 | 265 | 80.7

14

15

16.9

7036 | 279 | 80.5

16

7.5

6956 | 281 | 79.9

17

58.3

6871 | 283 | 79.3

18

49.4

6783 | 286 | 78. 7

7491 | 267 | 80.1

15

7404 | 270 | 79.5

16

7315 | 272 | 78.8

17

7219 | 274 | 78.2

18

13

40.7

6691 | 288 | 78.1

7121 |) 200 aes

19

20

32.4

6595 | 291 | 77.5

21

24.4

6495 | 294 | 76.9

22

16.7

6392 | 297 | 76.3

23

9.3

6285 | 300 | 75.8

24

2.2

6176 | 303 | 75. 2

7017 | 278 | 77.0

20

6910 | 282 | 76.4

21

6799 | 285 | 75.8

22

6684 | 288 | 75. 2

23

6566 | 292 |74.7_ 24

25

55.5

6064 | 307 | 74.7

26

49.2

5949 | 310 | 741

27

43.2

5831 | 314 | 73.6

6447 | 295 | 74.1

25

6322 | 299 | 73.5

26

6196 | 303 | 73.0

27

28 ateae

37.5

5712 | 318 | 73.0

32.3

5588 | 322 | 72.5

6067 | 307 | 72.6

28

5937 | 311 | 71.9

29

30

27.4

5465 | 326 | 72.0

31

22.8

5338 | 331 | 71.5

32

18.7

5210 | 335 | 71.0

33

14.9

5082 | 340 | 70.5

34

11.5

4951 | 345 | 70.0

5803 | 315 | 71.4

30

5668 | 319 | 70.8

31

5531 | 324 | 70.3

32

5394 | 329 | 69.8

33

5254 | 334 | 69.3

34

35

8.5 4820 | 351 | 69.6

36

5.9 4687 | 356 | 69.1

37

3.6 4554 | 362 | 68.7

38

1.7 4420 | 367 | 68. 2

39

0.2

4287 | 373 | 67.8

5114 | 339 | 68.9

35

4973 | 344 | 68.4

36

4830 | 350 | 67.9

37

4687 | 356 | 67.4

38

4545 | 362 | 67.0

39

40

59.1

4153 | 380 | 67.3

4402 | 368 | 66.6

40

41

58.4

4019 | 386 | 66.9

42

58.0

3885 | 393 | 66.5

43

58.0

3751 | 400 | 66.1

44

58.4

3618 | 407 | 65.7

4260 | 375 | 66.1

41

4117 | 381 | 65.7

42

3974 | 388 | 65.3

43

3833 | 396 | 64.9

44

45

59.1

3487 | 414 | 65.3

46

0.2 3354 | 422 | 65.0

3692 | 403 | 645

45

3552 | 411 | 64.1

46

47

1.7 3223 | 430 | 64.6

48

3.5 3095 | 438 | 64.2

49

5.6 2965 | 447 | 63.9

3413 | 419 | 63.7

47

3275 | 427 | 63.4

48

3138 | 436 | 63.0

49

50

8.1 2840 | 456 | 63.6

51

10.9

2714 | 465 | 63.2

52

14.1

2590 | 475 | 62.9

53

17.5

2468 | 484 | 62.6

54

21.3

2348 | 495 | 62.3

3004 | 444 | 62.7

50

2871 | 454 | 62.3

51

2739 | 463 | 62.0

52

2610 | 473 | 61.7

53

2482 | 483 | 61.4

54

55

25.4

2230 | 505 | 62.0

56

29.8

2114 | 516 | 61.7

:

2357 | 494 | 61.1

55

:

2234 | 505 | 60.8

56

57

34.5

2000 | 528 | 61.4

58

39.4

1889 | 540 | 61. 2

59

44.7

1779 | 552 | 60.9

a

2114 | 516 | 60.5

57

:

1996 | 528 | 60.2

58

3

1880 | 541 | 60.0

59

60

50.2

1673 | 565 | 60.6 | 25 34.7

1768 | 553 | 59.7

60

61

56.0

1569 | 578 | 60.4 |}24 40.8

1658 |. 567 | 59.5

61

62

2.0

1468 | 592 | 60. 2 |23 47.3

1551 °|+ 581°|°o9s2

62

63

8.3

1370 | 607 | 59.9 | 22 54.0

1446 | 595 | 59.0

63

64

14.8

1274 | 622 | 59.7122 1.0

1345 | 611 | 58.8

64

65

21.6

1182 | 638 | 59.5121 8.2

1248 | 626 | 58.6

65

t°
L°

b

fe}

/

0|30 0.0 1 | 88 46.8 2 | 87 33.5 3 | 86 20.4
4/85 7.2

5 | 83 54.2 6 | 82 41.3 7 | 81 28.5 8 | 80 15.9
9|79 3.4

10 | 77 51.1 11 | 76 39.1 P25 %>) 20.2
13 | 74 15.6 14 \73 4.3

US i ee Er4 16 | 70 42.4 17 | 69 32.0 18 | 68 21.8 19 | 67 12.0

20 | 66 2.6 21 | 64 53.5 22 | 63 44.8 23 | 62 36.4 24 | 61 28.5

25 | 60 20.9 26 | 59 13.8 BEN SO) Cal 28 | 57 0.7 29 |55 54.9

30 | 54 49.4 31 | 53 44.4
3 52 39.8 33 | 51 35.6 34 | 50 31.9

35 | 49 28.6 36 |.48 25.7 Si WAG 2ece 38 | 46 21.3 39 | 45 19.8

40 | 44 18.6 41 | 43 18.6 42 | 42 17.7 43 | 41 17.8 44 | 40 18.4

45 | 39 19.4 46 | 38 20.7 Al | 37 22.5 48 | 36 24.7 49 | 35 27.2

50 | 34 30.2 Sl |)asi aes 5P4 Er} ei/oll 53 | 31 41.2 o4 |30 45.5_

55 | 29 50.3 56 | 28 55.3 57 | 28 0.7 58 | 27 6.4 59 | 26 12.4

60 | 25 18.7 61 | 24 25.3 62 | 23 32.1 63 | 22 39.3 64 | 21 46.7 65 | 20 54.3

35°
A
8664 8660 8650 8634 8612
8582 8547 8506 8458 8405
8345 8280 8208 8132 8049
7961 7870 7773 7670 7563
7452 7338 7219 7096 6970
6841 6709 6574 6435 6295
6153 6008 5862 5715 5566
5416 5266 5114 4963 4810
4658 4506 4354 4203 4053
3962 3153 3607 3460 3316
3172 3032 2892 PATE) 2620
2487 2357 2230 2105 1983
1863 1748 1635 1525 1419 1315

TaBLe I
Ces
°
241 | 90.0 | 241 | 89.3 242 | 88.6 PY) MW eth 3) 242 | 37.2 |
243 | 86. 5 | 244 | 85.8 245 | 85. 1 | 246 | 84. 4 DAG ESouNl
248 | 83.1 | 249 | 82.4 } 251 | 81.7 | 253 | 81.0 | 255 | 80. 4 |
Way |) TSS + 259 | 79.1 | 261 | 78. 4 f XG |} Yo > | 266_ CUBR
268 | 76. 5 | PAIL NTS 8S) | RUA WoES | PETE N TS Ok: 2S lle
284 | 73. 5 288 | 72.9 } 292 | 72.4 | OAS | 7, 3005) 7103) |
304 | 70. 7 | 308 | 70. 2 | 313 | 69.6 § 318 | 69. 1 | 323 | 68. 6 §
328 | 68. 1 | 333 | 67. 6 | 339 | 67. 2 | 345 | 66. 7 ool | 66.2 |
357 | 65.8 | 364 | 65. 3 | 370 | 64.9 | 377 | 64. 5 | 384 | 64.1
392) Rosia} 400 | 63.3 } 408 | 62.9 ; 416 | 62.5 424 | 62.1
433 | 61.8 443 | 61.4 452 | 61.1 462 | 60.8 472 | 60.5
483 | 60. 2 494 | 59.9 505 | 59.6 Slt’ ||GL 530 | 59. 0
542 | 58.8 556 | 58. 5 570 | 58. 3 584 | 58.0 600 | 57.8 Goma

21

36°

| t?

ee a S i A

Pe

°

9204

231 | 90.0

0

9200

231 | 89.3

1

9191

231 | 88.5

2

9173

23 87. 8

3

9148

PRs) | etfs, I

4

9118

232 | 86. 4

5

9079

Pps || isp, 7

6

9035

234 | 84.9

U

8984

235 | 84. 2

8

8925

236 | 83.5

9

8861

PEST || teas te

10

8791

239 | 82.1

11

8714

240 | 81. 4

12

8631

242 | 80. 7

13

8543

244 | 80.0

14

8449

246 | 79. 4

15

8351

248 | 78. 7

16

8246

250 | 78. 0

17

8137

WARS. |) Us B

18

8022

PAKS || TOs

19

7904

258 | 76.0

20

7781

PX || sy, 2

ilk

7652

264 | 74.8

22

7520

PROV || 1 74

23

7387

BOD NB,

24

(247

Q2TA \W7259

25

7106

PHU | (A

26

6961

PAB NN CAle C

27

6814

PRT. || Te

28

6664

289 | 70.6

29

6513

293 | 70.0

30

6358

298 | 69. 5

31

6202

302 | 68.9

32

6046

307 | 68. 4

ae

5887

312 | 67.9

34

5727

317 | 67.4

35

5566

32

66. 9

36

5405

328 | 66. 4

37

5244

334 | 65. 9

38

5082

340 | 65. 4

39

4920

347 | 65.0

40

4759

353 | 64. 5

Al

4597

360 | 64. 1

42

4437

367 | 63.6

43

4277

374 | 63. 2

44

4118 3960 3804 3549 3496

381 | 62.8

45

389 | 62. 4 | 46

397 | 62.0

47

405 | 61.6

48

414 ! 61.3

49

3345

423 | 69. 9

50

3195

432 | 60.6

51

3047

441 | 60.2

52

2903

451 | 59.9

53

2760

462 | 59.6

54

2620

472 | 59.2

55

2482

483 | 58.9

56

2348

495 | 58.6

NS

2216

507 | 58. 4

58

2087

EMIS) ji)ays i

59

1962

532 | 57.8

60

1839

545 | 5126

61

1719

559) | owes

62

1604

ES | S76 1

63

1492

589 | 56.9

64

1383

605 | 56.6

65

PS v ERo a Ms

22

L° +° b

fe)

¥

0/190 1 | 88 2 | 87 3 | 86 4 | 84

06.0 44.9 29.8 14.7 59.8

5 | 83 6 | 82 7 | 81 fooelptcll) 9 | 78

44.9 30.2 15.6 3 1174 47.0

10 | 77 33.0 11 | 76 19.2 12 |S. “5.8 13 | 73 52.6 VAN aoa.

15 16 7 18 tele

| 71 | 70
BGO | 67
66

272 15.0
oak: 51.7 40.6

20 | 65 30.0 21 | 64 19.7 22 |63 9.9 23 | 62 0.6 24 | 60 51.7

25 | 59 43.2 26 | 58 35.2 PE MASE PAfleth 28 | 56 20.7 29 | 55 14.2

30 | 54 8.2 ol |aa) e226 32 | 51 57.6 33 | 50 53.0 Se: 49 49.0

35 | 48 36 | 47 37 | 46 38 | 45 39 | 44

45.4 42.4 39.8 37.7 36.2

40 41 42 43 was

| 43 | 42 | 41 | 40
39

35.1 34.5 34.3 34.7 35.5

45 | 38 36.7 46 | 37 38.4 47 | 36 40.6 48 | 35 43.2 a 40 34 46.2

50 | 33 51 | 32 52 | 31 53 | 31 aie: 30

49.6 53.5 57.8
2.4 7.4

55 | 29 56 | 28 57 | 27 5) 26 59 | 25

12.9 18.6 24.8 31.3 38.1

60 | 24 45.2 61 | 23 52.7 62) 28. 0:5 opilerera atsih0 64 | 21 16.9 65 | 20 25.5

TABLE |

NT3T° Ie

b

9765 9762 9750 9732 9706
9672 9630 9583 9528 9465
9396 9321 9239 9150 9055
8954 8848 8736 8619 8496
8369 8237 8100 7959 7815
7667 7516 7362 7204 7045
6882 6718 6552 6385 6216
6046 5875 5704 5532 5361
5188 5017 484 4676 4507
4338 4171 4005 3842 3680
3520 8362 3206 3053 29038
255 2610 2468 2329 2194
2061 1932 1807 1684 1567 1452

°

°

ie

221 | 90.0490 0.0 221 | 89.2 | 88 43.9 221 | 88. 5 | 87 27.8 221 | 87.7 | 86 11.7 222 | 87.0 | 84 55.7

222 | 86.2 | 83 39.9 223 | 85.5 | 82 24.2 224 | 84.8} 81 8.6 225 | 84.0 | 79 53.3 226 | 83.3 | 78 38.1

227 Nae. Di dose 229 | 81.8 | 76 8.6 230 | 81.1 | 74 54.3 232 | 80.4 | 73 40.2 234 | 79.7 | 72 26.6

PBS I TEES A See 238 | 78.3 170 0.3 240 | 77.6 | 68 47.7 242 | 76.9 | 67 35.5 245 | 76.2 | 66 23.8

248 | 75.5 250!) 74.9 253 | 74.2 257 | 73.6 260 | 73.0

165 164 | 62 | 61 460

12.5 1.7
51.3 41.4 32.0

263 | 72.3 159 23.1 267 | 71.7458 14.7 Z| flee eas 275 | 70.5 | 55 59.4 279 | 69.9 354 52.6

283 | 69.4 | 53 46.3 287 | 68.8 | 52 40.5 292 | 68.2 | 51 35.2 297 | 67.7 450 30.5 302 | 67.2 | 49 26.3

307 | 66.6 § 48 22.6 313 | 66.1 4 47 19.4 318 | 65.6 |46 16.8 324 | 65.1 4 45 14.7 330 | 64.6 | 44 13.2

336 | 64.2 | 43 12.1 343) 632001 42) PS 349 | 63.2 | 41 11.5 356 | 62.8 | 40 11.9 364 | 62.4 1 39 12.9

371 | 62.0 1 38 14.3 379 | 61.5 | 37 16.2 387 | 61.1 § 36 18.6 395 | 60.8 |.35 21.4 404 | 60.4 | 34 24.7

412 | 60.0 422 | 59.6 431 | 59.3 441 | 59.0 451 | 58.6

| 33 | 32 | 31 | 30 | 29

28.4 32.6 37.1 42. 47.5

462 | 58.3 | 28 53.3 473 | 58.0 | 27 59.5 484 | 57.7427 6.0 496 | 57.4 | 26 12.9 509 | 57.1 4 25 20.2

522 | 56.9 | 24 27.8 535 | 56.6 | 23 35.7 549 | 56.4 | 22 44.0 563 | 56.1 | 21 52.6 579 | 55.9} 21 1.4 595 | 55.7 | 20 10.6

/ A 88° Cae n/w4

°

10347 10343 10331 10310 10283

211 | 90.0 211 | 89.2 Ath ‘88. 4 211 |S iae 212 | 86.9

=©PWN

10247 10202 10151 10091 10025

2125) 43640 213 | 85.3 214 | 84.6 215 | 83.8 216 | 83.0

O©CDrONT

9951 9870 9782 9687 9584

PAU Oe SS 2192S 220 | 80.8 222 | 80.0 PPL Po), 3

fpfeedkedk©PWN

9477 9362 9242 9117 8986

226 | 78.6 228 | F78 230" sede 232 | 76.4 2357 | road

8849 8708 8562 8412 8258

238 | 75. 0 241 | 74. 4 243° |\-vama 247 \"f340 250 | 72. 4

8100 7938 7774. 7606 7435

253" ewe 257 || aedeee 261 | 70.5 265 | 69.9 269 | 69.3

7263 7088 6911 6733 6554

273 NOsaw 278 | 68.1 282 | 67.5 287 | 67.0 292 | 66.4

6374 6192 6010 5827 5646
5463 5281 5101 4920 4740

297 | 65.9 303 | 65.3 308 | 64.8 314 | 64.3 320 \nGgae
326 63. 3
333 | 62.9 340 | 62. 4 347 | 62.0 354 | 61.5

4562 4386 4211 4039 3867

361 || G18 369 | 60. 7 377 | 605s 385 | 59.9 Res 394 | 59.5

3699 3532 3369 3206 3047

403 | 59.1 412 | 58.7 421 | 58. 4 431 | 58.0 441 | 57.7

2892 2739 2590 2444. 2301

452 | 57.4 AGS | 578 475 | 56.8 486 | 56.5 499 | 56.2

2162 2026 1894 1766 1643 1522

512 | 55.9 525 | 55.7 539 | 55.4 554 | 55.2 569 | 54.9 585 | 54.7

¢°

39°

L°

b

A

fo)

/

0/960 0.0 1 | 8&8 42.8 2 | 87 25.6 3 | 86 8.5 4 ) 84 51.5

5 | 83 6 | 82 kel 8 | 79 9 | 78

34.6 17.9
aes 45.0 28.8

10 | 77 13.0 1 | v5) 57.4 12 | 74 42.2 Sw indict) Died Web | ey ileal

15 | 70 58.6 16 | 69 44.8 17 | 68 31.5 18 | 67 18.6 19 | 66 6.2

20 | 64 54.3 21 | 63 42.8 22 | 62 31.8 23 | 61 21.4 24 | 60 11.5

25°) 59 26 | 57 27 | 56 28 | 55 29 | 54

2.1 53.3 45.6 37.2 30.1

30 | 53 23.5 31 | 52 17.4 32 | 51 11.9 33 |50 7.0 34 | 49 2.7

35 | 47 58.9 36 | 46 55.6 37 | 45 53.0 38 | 44 50.9 39 | 43 49.3
40 |42 48.2|
41 | 41 47.8 42 | 40 47.9 43 | 39 48.4 ess 38 49.5

45 | 37 46 | 36 47 ' 35 48 | 34 49 | 34

51.1 53.3 55.9 58.9
2.5

50 | 33 51 | 32 52 | 31 53 | 30 54 | 29

6.5 11.0 15.9 21.2 27.0

Si) ||243) aa 56 | 27 39.8 57 | 26 46.8 58 | 25 54.1 59 | 25 1.8
60 |24 9.9]

61 | 23 18.3 G25 22201 63-| 21 36.1 64 | 20 45.5 65_|.19 55.2

10950 10946 10932 10911 10880
10842 10795 10739 10676 10604
10524 10438 10343 10241 10132
10017 9894. 9765 9630 9490
9345 9194 9038 8877 8713
8544 8373 8197 8018 7837
7653 7468 7279 7090 6899
6708 6516 6322 6130 5937
5743
§552 5360 5169 4980
4792 4605 44231 4238 4059
3881 3705 3532 3362 3195
3032 2871 2714. 2560 2410
2264
2122 1983 1849 1719 1592

201432°—40——3

TABLE [

23

40°

nere

A Car De

°

11575

192 | 90.0

(6)

11570

192 | 89. 2

I!

11555

192 | 88.3

2

11532

193 | 87. 5

3

11501

193 | 86. 7

4

11458

194 | 85.8

5

11408

194 | 85.0

6

11349

195 | 842

Uf

11280

196 | 83.3

8

11203

197 | 82.5

9

11118

199 | 81. 7

10

11025

200 | 80. 9

11

10923

202 | 80.1

12

10814

PAO.) 72)5 2:

118%

10698

205 | 78. 5

14

10573

ZOTAR

15

10443

209 | 77.0

16

10306

PAIL | 7G

117/

10161

2A ia 5

18

10012

216 | 74.7

19

9856

219 | 74.0

20

9695

SPY | 73%, 83

21

9529

DPR N72, (8

22

9358

228 | 71.8

23

9182

PR |) FA

24

9003

235 | 70.5

25

8820

238 | 69.8

26

8631

242 | 69.1

27

8442

246 | 68.5

28

8249

250 | 67.9

29

8053

DARL GVA

30

7856

259 | 66.6

31

7657

264 | 66.0

32

7456

268 | 65. 4

3353

7254

273 | 64.9

34

7050

279 | 64.3

35

6846

284 | 63. 7

36

6641

290 | 63. 2

3570

64388

295.) 62)

38

6233

SOL |N62.2

39

6029 | 308 | 61.7

40

5826

Biles eal, Ye

41

5625

321215605 7

42

5423

328 | 60. 2

43

§223

335 | 59.8

44

5025

342 | 59.3

45

4828

350 | 58. 9

46

4634

358 | 58. 5

47

4442

366 | 58. 1

48

4252

Bx) || Be

49

4065

384 | 57.3

50

3881

393 | 56.9

51

38699

403 | 56.5

52

3520

AL? 56-2

53

3345

423 | 55.8

54

SIL

ASS) Poon

55

3004

AAA | SOO,

56

2840

456 | 54.9

57

2678

468 | 54.6

58

2521

480 | 54 3

59

2367 | 493 | 540

60

2218

506: | -53. 7

61

2073

yA Gey &

62

1933

35 || Se

63

1796

5502/2535. 0

64

1665

566s eo2ne

65

24

Tasue |

t

L°

b

|

|

41°

A

C

Z'

|

|

|

90 0.0) 12222 183

88 40.5) 12216 183

le.)] bo= - i—) 12202

183

86 1.7) 12177 184

©PW84N42.4} 12142

184

83 23.3 | 12097 185

82 4.3) 12044 185

; ooi—] > Or i-r) 11980

186

79 27.1} 11906 187

OO 78 8.9} 11824 188

10 | 76 51.0) 11734 190

11 | 75 33.4| 11633 191 12 | 74 16.2) 11524 193

13 | 72 59.5| 11407 194 14 | 71 43.1 | 11282 196

15 | 70 27.2| 16 |69 11.8}

11149 198 11010 | 200

17 | 67 56.8| 10863 202

18 | 66 42.4) 10709 | 205

19 |65 28.5| 10549 | 207

20 | 64 15.2} 10382 | 210 21/63 2.5} 10211 213

22 | 61 50.3) 10033 | 216

23 | 60 38.7 24 | 59 27.7

9851 219 9665 | 222

NOCR W©OOrRRNOOOPNWO!D

25 | 58 17.4

9473 | 226

aS

26 |57 7.6 9278 | 229

iad

27 | 55 58.5

9079 | 233

are

28 | 54 50.1

8876 | 237

ee:

29 | 53 42.2

8672 | 241

of

30 | 52 35.0

8465 | 246

ns)

31 | 51 28.5

$255 | 250

gs

32 | 50 22.6

8044 | 255

.3

33 | 49 17.3

7831 259

nd

34 | 48 12.7

7616 | 264

sal

35 |47 8.7

7401 270

.5

36 |46 5.4

7185 | 275

ao

37 |45 2.6

6969 | 281

4

38 |44 0.5 6753 287

8

39 | 42 59.0

6536 | 293

3

40 | 41 58.1

6321 299

8

41 | 40 57.9

6107 | 305

as)

42 | 39 58.2

5894 | 312

LS

43 | 38 59.1

5682 | 319

3

44 | 38 0.5 5471 326

Me)

45 | 37 2.5

5263 | 334

4

46 |36 5.1

5056 | 341

. 0

47,35 8.2 4850 | 349

-6

48 | 34 11.9

4649 | 358

oul

49 | 33 16.0

4449 | 366

ine

50 | 32 20.7

4252 | 375

3

51 | 31 25.9

4059 | 384

wg

52 | 30 31.5

3867 | 394

. 6

53 | 29 37.6

3680 | 404

ae

54 | 28 44.2

3496 | 414

no

55 | 27 51.3

3316 | 424

a3)

56 | 26 58.7

3138 | 436

er

57 |26 6.6 2965 | 447

eo

58 | 25 14.9

2797 | 459

.6

59 | 24 23.6

2632 | 471

3

60 | 23 32.7

2472 | 484

.0

61 | 22 42.1

2316 | 497

. 8

62 | 21 51.9

2164 | 511

oO

63 | 21 2.0

2017 | 526

na

64 | 20 12.5

1874 | 541

. 0

65 ' 19 23.3

1737 | 557 | 51.8

|

|

|

— bo10)~J—_ —_boJ (=)—_

— ~Jon ie.) bo
sOP¢ NM

= ~JJ

ie) jor)
wes

12368 12261 12144 12020
—_— ioe)o9)or)

181 | 81 182 | 80. 184 | 79. 186 | 78.
— lee)oo ~J

H©PON
OCDr ONT
rH 12 13
—_ts

sa.u pmbWcNaaikipcpdasaeiln

10925 | 201 | 72.9

20

10742 | 204 | 72.1

21

10553 | 207 | 71.4

22

10359. | 211 | 70.6

23

10160 | 214 | 69.9

24

9956 | 217 | 69.2

25

9749 | 221 | 68.5

26

9537 | 225 | 67.8

27

9323 | 228 | 67.1

28

9106 | 235 | 66.4

29

8885 | 237 | 65.8

30

8663 | 241 | 65.1

31

8438 | 246 | 64.5

32

8213 | 251 | 63.9

33

7986 | 256 | 63.3

34

7759 | 261 | 62.7

35

7531 266 | 62. 1

36

7303 | 272 | 61.5

37

7073 | 278.) 61.0

38

6846 | 284 | 60.5

39

6619 | 290 | 59.9

40

6393 | 297 | 59.4

41

6168 | 303 | 58.9

42

5945 | 310 | 58.4

43

5723 | 317 | 58.0

44

5503 | 325 | 57.5

45

5286 | 333 | 57.1

46

5071 | 340 | 56.6

47

4858 _ 349 | 56.2

48

4649 | 357 | 55.8

49

4442 | 366 | 55.4

50

4238 | 375 | 55.0

51

4039 | 385 | 546

52

3842 | 395 | 54.3

53

3649 | 405 | 53.9

54

3460 | 416 | 53.6

55

3275 | 427 | 53.3

56

3095 | 438 | 52.9

57

2917 | 450 | 52.6

58

2745 | 462 | 52.3

59

2578 | 475 | 52.1

60

2414 | 489] 51.8

61

2256 | 503 | 51.5

62

2102 |°--S517 [Yok 3

63

1954 | 533 | 51.0

64

1810 | 549! 50.8

65

Tasue I

25

t°

43°

44°

+?

L°

b

A

C

Ti

b

A

C

Z!

fo}

/

fo)

/

0|90 0.0 13587

166 | 90.0 |90 0.0 14307

158 | 90.0

0

1 | 88 38.0 13581

166 | 89.1 | 88 36.6 14300

158 | 89.0

1

2 | 87 16.0 13564

166 | 88. 1 | 87 13.2 14282

158 | 88.1

2

3 | 85 54.1 13535

167 | 87.2 | 85 50.0 14252

5O Siew

fy

4 | 84 32.3 13495

167 | 86.3 | 84 26.9 14208

159 | 86.1

4

5 | 83 10.7 13444

168 | 85.4183 3.9 14154

160 | 85. 2

§

6 | 81 49.3 13382

169 | 84.4 |]81 41.2 14087

161 | 84. 2

6

7 | 80 28.2 13308

169 | 83.5 | 80 18.8 14008

161 | 83.3

Uf

8 | 79 7.3 13224

170 | 82.6 | 78 56.7 13918

162 | 82.3

8

9 | 77 46.8 13129

172 | 81.7177 35.0 13817

164 | 81. 4

9

10 | 76 26.7

13025

173 | 80.8 | 76 13.6 13705

165 | 80.5

10

11 |75 7.0 12911

174 | 79.9 | 74 52.7 13581

166 | 79.6

11

12 | 73 47.7 12786

176 | 79.0 | 73 32.3 13448

168 | 78.6

2

13 | 72 28.8 12652

177 | 78.2 | 72 12.4 13305

169 | 77.7

13

14 | 71 10.5 12510

179 | 77.3 | 70 53.0 13153

171 | 76.9

14

15 | 69 52.7 12357

181 | 76.4 | 69 34.2 12991

173 | 76.0

15

16 | 68 35.5 12198

183 | 75.6 | 68 16.0 12820

15 || 73, al

16

17 | 67 18.8 12029

185 | 74.8 | 66 58.4 12641

178 | 74. 2

17

18 | 66 2.7 11855

188 | 73.9 | 65 41.5 12454

180 | 73. 4

18

2 dg 64 47.3 11672

190 | 73.1 | 64 25.3 12259

SZ Aiea

19

20 | 63 32.5

11483

193

.3 163 9.7 12058

185 | 71. 7

20

21 | 62 18.4 11288

196

.5 | 61 54.8 11850

188 | 70.9

21

22 \61 4.9 11087

199

. 7 160 40.7 11637

191 | 70. 1

22

23 (| 59) 52.2 10880

202

.0 759 27.3 11416

194 | 69.3

23

24 | 58 40.1 10669

205

2158 14.7 11191

197 | 68.6

24

25 | 57 28.7 10453

209

5 157 2.8 10961

201 | 67.8

25

26 | 56 18.1 10231

212

~8 | 55 51.7 10727

204 | 67.1

26

27 |155 8.1 10008

216

.1 454 41.3 10489

208 | 66.3

27

28 | 53 58.9

9780

220

.4 9753 31.8 10248

212 | 65.6

28

29 | 52 50.4

9549

224

.7 7152 23.0 10003

216 | 649

29

30 | 51 42.7

9316

229

.O 1 51 14.9

9756

221 OA?

30

31 | 50 35.7

9080

Zao

3450 7.7

9507

225 | 63. 6

Si

32 | 49 29.4

8843

238

70 (iSn La}

9255

230 | 62.9

32

33 | 48 23.8

8605

242

.1 4 47 55.5

9004. 234 | 62.3

33

34 | 47 18.9

8364

248

.5 1 46 50.5

8750

239 | 61.6

34

35 | 46 14.8

8124

253

.9 4145 46.3

8496

245 | 61.0

35

36 | 45 11.3

7883

258

.3 § 44 42.9

8242

250 | 60. 4

36

37 | 44 8.6

7642

264

. 7 143 40.2

7988

256 | 59.8

337/

38 | 43 6.6

7401

270

. 1 | 42 38.2

7734

262 | 59.3

38

39 | 42 5.2

7161

276

.6 | 41 36.9

7481

267 2585 7

39

40 | 41 4.5

6922

282

. 1 | 40 36.3

7229

QIAN ose 2

40

41 | 40 4.5

6683

288

.5 § 39 36.5

6979

280 | 57.6

Al

42 |39 5.1

6447

295

.0 | 38 37.3

6730

DSN BG dl

42

43 | 38 6.4

6212

302

.5 § 37 38.8

6483

294 | 56.6

43

44 | 37 8.3

5979

309

.1 4 36 40.9

6238

301 | 56.1

44.

45 | 36 10.8

5747

317

.6 #35 43.7

5996

309 | 55. 7

45

46 | 35 13.9

5520

324

.1 | 34 47.2

5756

SLGT Pod. 2

46

47 | 34 17.6

5294

332

571) S33 Gil

5520

324 | 548

47

48 | 33 21.9

5071

341

.3 4 32 55.9

5286

Sa2 | 54.3

48

49 | 32 26.8

4850

349

.9 732 1.1

5056

341 | 53.9

49

50 | 31 32.2

4634

358

-5 731 6.9

4828

350 | 53. 5

50

51 | 30 38.1

4421

367

.1 | 30 13.3

4605

SY) |) Geb I

51

52 | 29 44.6

4211

377

. 7} 29 20.2

4386

369 | 52. 7

52

53 | 28 51.6

4005

387

.3 | 28 27.6

4171

379 | 52.4

53

54 | 27 59.1

3804

397

.0 | 27 35.6

3960

3897 |po2.0

54

ins) | Ate EAD)

3607

408 | 52.6 | 26 44.0

Soe

400 | 51.7

55

56 | 26 15.4

3413

418 | 52.3 | 25 53.0

3552

410 | 51.3

56

57 | 25 24.3

3223

430 | 52.0 4725 2.4

3354

422 | 51.0

57

58 | 24 33.6

3039

442 | 51.7 | 24 12.2

3162

434 | 50.7

58

59 | 23 43.4

2859

454 Bode 4 j 23 22.5

2974.

446 | 50. 4

59

60 | 22 53.5

2684

AGT) Toa 2273322

2792

459 | 50.1

60

61 | 22 4.0

2514

481 | 50.8 | 21 44.3

2614

473 | 49.8

61

62 | 21 15.0

2349

495 | 50.5 | 20 55.8

2442

487 | 49.5

62

63 | 20 235.3

2189

509 | 50.3 | 20 7.7

2275

501 | 49.3

63

64 | 19 37.9

2033

524 | 50.0 419 20.0

2113

516 | 49.0

64

65 ! 18 49.9

1883

540 | 49.8 118 32.6

1957

532 | 48.8

65

26

TABLE I

$°

ibe

b

eo Tt 2.

0/90 1 | 88 2 | 87 3 | 85 4 | 84

90.0 35.2 10.4 45.7 21.1

5 | 82 56.8 6 | 81 32.7 7 |80 9.0 8 | 78 45.5 9 | 77 22.5

10 | 75 11 | 74 12) Wo. 13 | 71 14 | 70

59.9 37.8 Lose 55.1 34.6

15 | 69 14.8 16 | 67 55.6 17 | 66 37.1 18 | 65 19.3 19 | 64 2,2

20 | 62 45.8 21 | 61 30.2 22 | 60 15.4 23 |59 1.4 24 | 57 48.2

25 | 56 35.8 26 | 55 24.2 27 | 54 13.5 28 153 3.5 29 | 51 54.4

“30 31 32 33 34

| 50 | 49 | 48 | 47 | 46

46.1 38.6 32.0 26.1 21.1

35 | 45 16.9 36 | 44 13.4 37 | 43 10.7 38 | 42 08.8 39 | 41 7.7

40 | 40 Alaa) 42 |38 43 | 37 44 | 36

7.2 420 8.6 10.3 12.8

45 | 35 15.9 46 | 34 19.6 47 |}33 24.0 48 | 32 29.0 49 | 31 34.7

50 | 30 51 | 29 52 | 28 53 | 28 pa4 27

40.9 47.7 55.1
3.0 11.5

55 | 26 20.5 56 | 25 29.9 57 | 24 39.9 58 |:23 50.3 [s 50) ta. lee

60 | 22 12.5 61 | 2b 24-2 62 | 20 36.3 63 |.19 48.8 64 |19 1.7 65 | 18 14.9

45°

46°

A

C

Z!

b

A

C

Z!

ie hie irs c i ea a Ch Mt Mi MGlaa iL... | <=

15051 15045 15025 14991 14945

151 | 90.0490 0.0 151 | 89.0 | 88 33.6 151 | 88.0 187 7.3 151 | 87.0785 41.1 152 | 86.0 | 84 15.1

15823 15816 15794 15759 15709

143 | 90.0 143 | 89.0 143 | 87.9 144 | 86.9 144 | 85.9

14886 14815 14732 14635 14526

152 | 85.0 | 82 49.3 153 | 84.0 | 81 23.8 154 | 83.1479 58.6 155 | 82.1 478 33.7 156 | 81.1477 9.4

15646 15571 15480 15376 15261

145 | 848 145 | 83.8 146 | 82.8 147 | 81.8 148 | 80.8

14406 14275 14132 13980 138816

157 | 80.1 475 45.4

159 | 79.2 | 74 22.0

160 | 78.3 | 72 59.2

162 |e

37.0

164 | 76.4 170 15.3

15131 14990 14839 14676 14501

150 | 79.8 151 | 73.8 LDS ee 154 | 76.9 156 | 75.9

13644 13461 13270 13071 12865

166 | 75.5 | 68 54.4 168 | 74.6 | 67 34.2 170 | 73. 7 1 66 14.7 172 | 72.8 | 64 56.0 175 | 72.0 | 63 38.0

14317 14122 13919 13705 13485

158 | 75.0 160 | 74.1 162) |) fone 16D) gare 167 | 71.4

12650 12428 12200 11965 11727

C738) | wae il 180 | 70.3 183 | 69.5 186 | 68. 7 190 | 67.9

20.8 4.5
49.0 34.4 20.6

13256 13021 12779 1253h aie)

170 | WOES 173 | 69.6 176 | 68.8 179 | 68.0 182 | 67.2

11482 11234 10982 10726 10468

193 | 67.1 197 | 66.3 201 | 65.6 205 | 64.9 209 | 64.1

7.6 55.6 44,4 34.1 24.7

12018 11755 11486 11215 10942

186 | 66. 4 189 | 65.6 193 | 648 197 | 64.1 201 | 63.3

10206 9942 9677 9411 9143

213 | 63. 4 217 | 62.8 222 G2. « 227 | 61. 4 232 | 60.8

16.1 8.5 1.7
55.7 50.6

10666 10387 10107
9825 9544

206 | 62.6 210 | 61.9 2A) (GS 219 | 60.6 224 | 59.9

8875 8607 8340 8073 7807

237 | 60. 2 243 | 59.6 248 | 59.0 254 | 58.4 260 | 57.8

46.3 42.9 40.3 38.5 37.4

9261 8980 8697 8416 8137

230 | 59.3 235 | 58. 7 241 | 58.1 247 | 57.5 252 | 56.9

7542 7279 7017 6758 6501

266 | 57.3 213 || 56. 7 279 56: 2 286 | 55. 7 293 || 55. 2

dee ihlok 39.0 41.0 43.7

7859 7582 7308 7036 6767

259 | 56.4 265 | 55.8 272 | 55.3 279 | 54.8 286 | 54.3

6247 5996 5747 5503 5263

301 | 54. 7

47.2

309 | 54.3

51.3

317 | 53.8 § 32 56.1

S2aq Ga. 4altoe lca

330 | 53.07 31 . 7.6

6501 6238 5979 52a 5471

293 | 53.8 301 | 53.3 309 | 52.9 SLh | bea: 326 1) 52.10

5025 4792 4562 4338 4118

342 | 52.5 | 30 14.2 352 | 52.1 | 29 21.5 361 | 51.8 | 28 29.4 ov 1 OL 4 2a 30.8 381 | 51.0 | 26 46.8

5223 4980 4740 4507 4277

335 | 51.6 344 | 51.2 354 | 50.8 364 | 50. 4 374 | 50.0

3902 3692 3487 3285 3090

392 | 50.7 1.25 56.3 403 | 50.3425 6.3 414 | 50.0 | 24 16.9 426 | 49. 7 | 23 27.9 439 | 49.4 | 22 39.3

4053 3833 3618 3410 3205

384 | 49. 7 396 | 49. 4 407 | 49.0 419 | 48.7 431 | 48.4

2899 2715 2535 2362 2194 2031

451 | 49.1 | 21 51.2 465 | 48.8 |21 3.6 479 | 48.6 |]20 16.3 493 | 48.3 419 29.5 509 | 48.1 718 43.0 525 | 47.8 | 17 56.9

3007 2816 2629 2449 2275 2106

444 | 58.1 457 | 47.8 471 | 47.6 486 | 47.3 501 | 47.1 517 | 46.8

W©b HO e OOr MOTH

TaBLe I

27

rr TS a

47°

i

A

Ga az?

b

48°

Fr

A

© THEN

°

/

fo)

fo)

/

°o

0/90 0.0| 16622) 136 /90.0}90 0.0] 17449| 129 | 90.0

0

1 |88 32.0| 16613 | 136 | 88.9] 88 30.3| 17440] 129] 88.9

1

2/87 4.1] 16592 | 136 | 87.9]87 0.8] 17416 | 129 | 87.8

2

34||8485 368..37|| 1166555040 || 113376] | 8856..78]]8854 312..30]| 1177331796] | 113300 || 8865..67

4 3

56 ||8812 4114..43|| 1166345313] | 113388 || 88437.16148812 334..14|] 1177214568 || 113311 || 8834.54

5 6

7|79 47.6| 16253 | 139 | 82.6479 361| 17054] 132 | 82.3

7

8 |78 21.4| 16143 | 140] 81.5178 8.3| 16936 | 133 | 81.2

8

9 |76 55.5| 16019 | 141] 80.5176 41.0| 16803 | 134 | 80.1

9

10 [75 30.2| 15882 | 142 | 79.5475 14.2) 16656 | 135 | 79.1

10

11/74 5.5| 15731 | 144| 784173 48.1] 16495 | 137 | 78.0

11

12 |72 41.4| 15568 | 145 | 77.4 }72 22.6] 16321 | 138 | 77.0

12

13 |71 17.9| 15394 | 147 | 76.4170 57.9] 16134 | 140 | 76.0

13

14 |69 55.1| 15208 | 149 | 75.5 169 33.8| 15935 | 142 |75.0

14

1156 |[6678 3131..07)| 1145800120 || 115513) | 7734..55116668 4180..26]; 1155752054 || 114464 || 7743..00

1165

17 |65 51.2| 14586 | 155 | 72.6465 26.6] 15272 | 148 | 72.0

ile?

1198 ||6643 3112..57]] 1144132594 || 115680] | 7701.8.7]46642 466..20|] 1145708311 || 115530 || 7701..11

1198

20 |61 54.7| 13882 | 163 | 69.9 | 61 27.4| 14522 | 156 | 69.2

20

21 |60 37.6| 13631] 166 | 69.0] 60 9.5] 14255 | 159 | 68.3

21

22 |59 21.4| 13373] 169 | 68.1|58 52.6| 13982 | 162 | 67.4

22

3158 6.1] 13108 | 172 | 67.3157 366| 13702] 165 | 66.5

23

94 |56 51.7| 12839 | 175 | 66.4156 21.7| 13416 | 168 | 65.7

24

2256 ||5545 2358..83|| 1122526866 || 117892 | 658.61|5553 547..77|| 1132182350| | 117725 ||6644.90

2256

27 |53 14.2| 12003 | 186 | 64.0] 52 42.7] 12530] 179 | 63.2

27

98 |52 3.5| 11716 | 190 | 63.3] 51 31.7| 12227| 183 | 62.5

28

29 |50 53.8| 11427 | 194 | 62.5 450 21.7| 11921 | 187 | 61.7

29

30 [49 45.0| 11135 | 198 | 61.8] 49 12.7| 11612 191 | 61.0 30

3312 ||4487 3370..12]] 1100854414 || 220037 || 6601.4.14| 4486 574..56]] 1110390921] | 210906 || 6509..25

3312

3334 ||4456 2149..10]| 109294581 || 221127 || 5599..17]] 4445 4561..24]| 1100637696] | 220150 ||5588.82 3334

35 |44 14.7| 9654 | 223 | 58.4] 43 42.0] 10053 | 215 | 57.5

35

36 |43 11.3] 9358 | 228 | 57.8 1} 42 38.7| 9740| 221 | 56.9

36

37 |42 8.8| 9060] 234 | 57.2} 41 36.2| 9429] 226 | 56.2

37

38 |41 7.1| 8766 | 239 | 56.6 | 40 34.7] 9120] 232 | 55.6

38

39 |40 6.2] 8472 | 245 | 56.0} 39 34.0| 8812 | 238 |55.0

39

40 |39 6.2| 8180 | 252 | 55.6138 34.2| 8506 | 244/545

40

41 |38 7.0| 7890 | 258 | 54.9137 35.2] 8202| 251 | 53.9

41

42/37 8.5| 7602] 265 | 54.3136 37.1| 7901 | 258 | 53.4

42

43 |36 10.8| 7318 | 272 | 53.8135 39.7| 7603 | 265 | 52.9

43

44 |35 13.9| 7036 | 279 | 53.3 134 43.1| 7308 | 272 | 52.4

44

45 |34 17.6| 6758 | 286 | 52.8133 47.3| 7017 | 279 | 51.9

45

4467 ||3332 2227..13]| 66428132-| | 230042 ||515.2.94']3312 5527..28}| 66743407| | 228975 || 5501..94

4467

48 |31 33.2| 5945! 310 | 51.4

6168 | 303 | 50.5

48

49 |30 39.7| 5682 | 319 | 51.0!

5894 | 312 | 50.0 49

50 |29 46.9| 5423 | 328 | 50.6 5512 |2|288 543..60|] 54912609| | 333477 || 5409..26]}

5625 | 321 | 49.6

50

55316000 || 333390 ||4498..28

5512

5534 ||2276 2112..50|| 44647367 || 335667 || 4499..14 ||

44589476 || 335499/|48484.]1

5534

55 |25 31.6| 56 |24 42.2| 57 |23 53.3| 5598 ||2223 174..09||

4203 | 377 | 48.7] 3974] 388 | 48.4 | 3751] 400 | 48.0} 33533243| | 441224 || 4477..741 |

4354 | 370 | 47.7

55

4117 | 381 | 47.4

56

3885 | 392 | 47.0

57

33645399 || 440147 || 4466..47

5598

~ 60 |21 29.5| 3117 | 4387 [47.1] 21 7.4| 3226 | 430/461

60

6612 |2|109 4525..59]| 22792147|] 446540 ||4466..68111290 2315..10|] 32081198 || 444537 || 4455..68

6612

63 |19 9.7] 2536 | 479 |46.3]18 49.6] 2624] 472 |45.3

63

64 |18 23.9] 2355] 494] 461118 4.5] 2436] 487 |45.1

64

65/17 38.5| 2180| 510 |45.8417 19.7| 2255] 503 |44.8

65

:
Table Il / 4
| Explana-
tion of the Const : tion and Use of Tables Z

28

te

Le

b

——T U oO P

0;90 1 | 88 2 | 86
3 | 85 4 | 83

0.0 28.6 57.2
26.0 55.0

5 | 82 24.2 6 | 80 53.9 7 |79 24.0 8 | 77 54.5 9 | 76 25.6

10 | 74 57.4 11 | 73 29.8 2) i225 V2.9 13 | 70 36.8 14 | 69 11.5

15 | 67 47.0 16 | 66 23.5 17 |65 0.8 18 | 63 39.2 19 | 62 18.5

20 | 60 58.8 21 | 59 40.1 22 | 58 22.4 23 157 5.8 24 | 55 50.3

25 | 54 35.8 26 | 53 22.3 27 || 52,1939 28 | 50 58.6 29 |}49 48.3

30 | 48 39.1 31 | 47 30.9 32 | 46 23.7 33 | 45 17.5 34 | 44 12.3

35 |43 8.1 36 | 42 4.9 37 |41 2.6 38 | 40 1.2 39 | 39 0.8

40 | 38 1.2 41 | 37 2.5 42 |36 4.7 43 |35 7.7 44 | 34 11.5

45 | 33 16.0 46 | 32 21.4 AT ' 31 27.5 48 | 30 34.3 49 | 29 41.8

50 | 28 51 | 27 52) 20
53 | 26 54 | 25

50.0 58.8
8:0
18.4 29.1

55 | 24 40.4 56 | 23 52.2 57 | 23 4.6 58 | 22 17.5 59 | 21 30.9

60 | 20 44.7 61 | 19 59.1 62 | 19 13.8 €3 | 18 29.0 64 | 17 44.6 65 |17 0.6

5827 5551 5281 5017 4758
4506 4260 4019 3785 3557
3336 3120 2913 2712 2517 2330

TABLE I

OF
314 | 48.6 323 | 48. 2 333 | 47.8 343 | 47. 4 2R2 | 47.1 364 | 46. 7 375 | 46. 4 386 | 46.0 398 | 45. 7 410 | 45. 4 423 | 45.1 437 | 44.8 451 | 44.6 465 | 44.3 480 | 44.0 496 | 43.8

Vil aor ya |pa

90. 0 .8 6 . 4 . 2
1 9 bf . 6 . 4
ne ae rl . O .9
9 .8 . 8 . 8 8
.8 9 .9 . O ie |
63. 3 62. 6 61.6 60. 8 60. 0

6030 5744 5463 5188 4920
4659 4403 4153 3910 3674
3445 owe 3007 2799 2598 2405

. 2 25 as .0 3
. 6 . O 4 ae Hu
. oO . 0 4 .9 . 4
. 9 . 4 9 Au) . 0
307 | 47.6 317. | 47.2 326 | 46.8 336 | 46. 4 346 | 46. 0
357 | 45. 7 368 | 45.3 379 | 45.0 391 | 44.7 404 | 44, 4
417 | 44.1 430 | 43.8 444 | 43.5 459 | 43.3 474 | 43.0 490 | 42.8

t°
L°
0 1 2 3 4
5 6 a 8 9
10 11 12 13 14
15 16 17 18 19
20 21 22 23 24
25 26 Palp 28 29
30 31 32 33 34
35 36 37 38 39
40 41 42 43 44
45 46 47 48 49
50 51 52 53 54
55 56 57 58 59
60 61 62 63 64 65

t° L°

0 1 2 3 4

5 6 7
8 9

10 11 12 13
14

15

16 17 18 19

20 21 22 23 24

25 26 PAT 28 29

30 31 32 33 34

35 36 aie 38 39

40

Hs

41

5

42

5

43

0.8

44

5.5

45 | 32 11.0 46 | 31 17.3 47 ' 30 24.4 48 | 29 32.3 49 | 28 40.9

50 | 27 50.2 eae OL2 52 | 26 10.9 53 | 25 22.3 54 | 24 34.3
55 |23 46.9|

56 | 23 0.0 He | 2204320 58 | 21 28.0 59 | 20 42.8

60 | 19 61 | 19 62 | 18 63 | 17 64117 65 | 16

58.1 13.8 30.1 46.7
3.8 21.3

7807 7481 7161 6846 6536
6233 5937 5646 5361 5082
4810]
4545 4287 4036 3792
3554 3324 3101 2887 2678 2479

Tas_e [

b

°

7

90 0.0} 88 22.6 86 45.2] 85 8.1 183 31.2

81 54.7 80 18.7] 78 43.3)
77 8.5)| 75 34.4

74 11 72 28.7 70 57.2 69 26.7
67 57.2

66 28.8
165 1.6 63 35.5 62 10.6 60 47.0

.1 459 24.5

.1758 3.4

.2 | 56 43.5

:

55 24.9

-3

154 7.6

A | OM be |: . 9 gl Bie

wi 25) 8 | Ss iLel 4 |

Ta .O § 4 f 8 nel

.6 | 0} . 4 . 9 4

260 | 48.9 268 | 48. 4 276 | 47.9 284 | 47. 5 293 | 47. 0

301 | 46.6 311 | 46.2 320 | 45.8 330 | 45. 4 § 340 | 45. 0 |
351 | 44.7 |

362 | 44.3 373 | 44.0 | 385 | 43. 7 | 398 | 43. 4

411

By, ab |

a

424 | 42.8

5

437 | 42.5

452 | 42.3

fs

468 | 42.0

.

484 | 41.8

;

29

52°

A

C

te [AN Vi?

(apcmMeemee n[e ealmGeaoal cae

21066

103 | 90.0

0

21055

104 | 88. 7

il

21022

104 | 87.4

2

20969

104 | 86.2

3

20894

105 | 84.9

4.

20797

105 | 83.6

5

20681

106 | 82.4

6

20543

LOG Pole

Uf

20387

108 | 79.9

8

20213

109 | 78. 7

9

20019

110 | 77. 5

10

19808

ILA |) 7G}, 3

11

19580

iil} || 7/5, I

12

19337

Has) }) (7/8359)

13

19077

a7 || 74,

14

18805

119 | 71.6

15

18519

121 | 70.6

16

18219

123 | 69.5

iWé

17909

125 | 68. 4

18

17589

128 | 67. 4

19

17259

130 | 66.4

20

16919

133 | 65. 4

PA

16573

136 | 64. 4

22

16219

139 | 63. 4

23

15858

TAS AG2Z5

24

15493

146 | 61.6

25

15123

150 | 60. 7

26

14749

154 | 59.8

Pas

14372

158 | 59.0

28

13993

162 | 58.2

29

13612

166 | 57. 4

30

13230

171 | 56.6

31

12847

175 | 55.9

32

12465

180 | 55.1

33

12084

185 | 54.4

34

11704

190 | 53.7

35

11326

196 | 53.0

36

10951

201 | 52.4

37

10577

207 | 51.6

38

10207

ONS |) Gili

39

9841

219 | 50.6

40

9479

226 | 50.0

41

9119

232 | 49. 4

42

8766

239 | 48.9

43

8416

247 | 48.4

44

8073

254 | 47.9

45

7734

262 | 47. 4

46

7401

270 | 46 9

47

7073

278 | 46. 4

48

6753

287 | 46.0

49

64388 295 | 45.6

50

6130

305 | 45. 2

51

5827

314 | 448

52

5532

324 | 44.4

53

5244

304 | 44.0

54

4963 | 345 | 43.6

55

4688

356 | 43.3

56

4420

367 | 43.0

57

4161

Sh) |) 2R4 7

58

3909

392 | 42.3

59

3663

405 | 42.1

60

3426

418 | 41.8

61

3195

432 | 41.5

62

2973

446 | 41.2

63

2759

462 | 41.0

64

2553

478 | 40.8

65

30

TABLE [|

+" Le

54°

i

b

A

C Z| T°

meee aa emir Vaan (ies (eae eae (aia Sieg (aes c)aan (tac Tame aan eeacam ea ellliane (ej |

0|90 0.0} 22054 98 |90.0190 0.0] 23078 92 | 90.0

0

1 |88 20.3) 22042 98 | 88.7188 17.9| 23066 92 | 88.6

1

2 |86 40.7| 22006 98 | 87.3 186 36.0| 23028 92 | 87.3

2

3/85 1.4] 21950 98 | 86.0 |84 54.3] 22966 93 | 85.9

3

4 |83 22.3] 21868 99 | 84.71 83 12.9| 22879 93 | 84.5

4

5 |81 43.7| 21766 99 | 83.4181 32.0| 22769 94 | 83.2

5

6|80 5.6| 21640] 100 | 82.1179 51.7| 22632 94 | 81.6

6

7 |78 28.1! 21493 | 101 | 80.8]78 12.1| 22476 95 | 80.5

7

8 |76 51.3| 21326 | 102 | 79.5476 33.2| 22296

96 | 79.2

8

9 |75 15.3| 21138 | 103 | 78.3 ]74 55.2| 220904 97 | 77.8

9

10 |73 40.2} 20931 | 104 | 77.0[73 18.1] 21872

99 | 76.6

10

11 |72 6.0] 20704 | 106 | 75.8] 71 42.1| 21629 | 100 | 75.3

11

12 |70 32.8| 20460] 107 | 74.6170 7.1] 21368 | 102 | 74.0

12

13 |69 0.7] 20201 | 109 | 73.4168 33.4] 21090 | 103 | 72.8

13

14 |67 29.8| 19923 | 111 | 72.2167 0.9| 20795 | 105 | 71.6

14

15 |66 0.0; 19632 | 113 | 71.01 65 29.6) 20484 | 107 | 70.4

15

16 |64 31.4] 19328 | 115 | 69.9163 59.7| 20158 | 109 | 69.2

16

17|63 4.1] 19008 | 117 | 68.8 #62 31.2] 19820] 111 | 68.1

17

18 |61 38.1] 18679 | 119 | 67.7161 4.0] 19468 | 114 | 67.0

18

19 |60 13.4] 18338 | 122 |66.6 |59 38.3| 19104 | 116 | 65.9

19

20 |58 50.1| 17987 | 125 | 65.6458 14.0| 18732] 119 | 648

20

21 |57 28.1) 17627 | 128 | 64.6156 51.2] 18349 || 122 | 63.7

21

22 |56 7.5| 17257 | 131 | 63.6155 29.8| 17959 | 125 | 62.7

22

23 |54 48.2] 16883 | 134 | 62.6154 9.9] 17561 | 128 | 61.7

23

24 |53 30.3) 16501 | 137 | 61.6 |52 51.4] 17159] 131 | 608

24

25 |52 13.8| 16116 | 140 | 60.7451 34.4/ 16750|/ 135 | 59.8

25

26 |50 58.6| 15723 | 144 | 59.8 ]50 18.9! 16337] 138 | 58.9

26

27 |49 44.8| 15330] 148158.9]|49 4.8] 15920] 142 | 58.0

27

28 |48 32.3| 14932] 152] 58.1147 52.1] 15501] 146 | 57.1

28

29 |47 21.2| 14532 | 156 | 57.2 |46 40.7| 15081 | 150]| 56.3

29

30 |46 11.3| 14131 | 160 | 56.4145 30.8| 14660 | 155 | 55.5

30

31 |45 2.7] 13730] 165 | 55.6 }44 22.2| 14238] 159 | 54.7

31

32 |43 55.4] 13328] 169 | 54.9143 14.9] 13816 | 164 | 53.9

32

33 |42 49.3] 12928] 174] 541142 89] 13395] 168] 53.1

33

34 |41 44.4] 12528] 179 | 53.4 ]41 4.2] 12975] 173 | 52.4

34

35 |40 40.7| 12129 | 184] 52.7140 0.7) 12558| 179 | 51.7

35

36 | 39 38.2] 11734] 190 | 52.0138 58.4] 12144] 184 | 51.0

36

37 |38 36.7] 11340] 195 | 51.4137 57.3| 11734] 190 | 50.4

37

38 |87 36.4] 10951 | 201 | 50.8 |36 57.3] 11326 | 196 | 49.7

38

39 |36 37.1| 10564 | 207 | 50.1135 58.5| 10923 | 202 | 49.1

39

40 |35 38.9| 10181 | 213 |49.5135 0.7| 10523 | 208 | 48.5

40

41 | 34 41.7] 9803 | 220] 49.0134 3.9] 10130] 214 | 47.9

Al

42.|33 45.5| 9430 | 227 | 48.4133 82] 9741 | 221 | 47.4

42

43 |32 50.2| 9061 | 234 | 47.9132 13.4] 9358 | 228 | 448

43

44 |31 55.9 8697 | 241 | 47.3131 .19.7| 8980 | 235 | 46.3

44

45 |31 2.4| 8340| 248 | 46.8130 26.8| 8607 | 242 | 45.8

45

46 |30 9.8| 7988 | 256 | 46.3 }29 34.8] 8242] 250 | 45.3

46

47 |29 18.1 7642 | 264 | 45.9 728 43.7| 7883 | 258 | 44.8

47

48 |28 27.1 7303 | 272 |45.4127 53.4| 7531! 267 | 44.4

48

49 |27 37.0 6969 | 281 | 45.0]27 3.9| 7185 | 275 | 43.9

49

50.| 26 47.6| 6642 | 290 | 44.5 [26 15.2| 6846 | 284 | 43.5

50

51 |25 58.9| 6322 | 209 | 44.1125 27.2|. 6516 | 293 | 43.1

51

52 | 25 10.9 6010 | 308 | 43.7424 40.0| 6192 | 303 | 42.7

52

53° (24 23.71 5704:| 318 | 43.3 123 53.4|° 5875 | 313 (4aRe

53

54 |23 37.0| 5405 | 328 | 43.0723 7.5| 5566 | 323 | 41.9

54

55 |22 51.0 56 |22 5.6] 57 |21 20.8] 58 |20 36.5 __59 |19 52.8]

5114 | 339 | 42.6 |22 22.2| 4830] 350 | 42.3 |21 37.6] 4554] 362 | 41.9}20 53.5] 4286 | 373 | 41.6 |20 10.1 4025 | 386 |41.3 |19 27.1|

5266 | 333 | 41.6 4973 | 344 | 41.2 4687 | 356 | 409 4410 | 368 | 40.6 4141 | 380 | 40.3

55

56

57

4

58

59

60 |19 9.6| 3772 | 399 | 41.0118 44.7| 3880 | 393 | 40.0

60

61 | 18 26.9| 3527 | 412 | 40.7518 2.8} 3627] 406 | 39.7

61

62 | 17 44.7 3290 | 426 | 40.5 [17 21.3] 3383] 420 | 39.5

62

63 |17 2.9]. 3060] 441 | 40.2116 40.4] 3146] 434 | 39.2

63

64 | 16 21.5} 2840] 456 | 40.0115 59.8} 2918 | 450 | 39.0

64

65 |15 40.5| 2626] 472 | 39.7515 19.7 2700 | 466 | 38.7

65

TasBuE [|

Bal

Qe

a

b

LOLS

55°

A
oo

C
lie

Z’
ee OL

56°

b

A

LON wat |ryt dt

4°

C

Pi

L°

aye al acOM aminoe

0;90 0.0 24141

87

.0 190 0.0 25244

81 | 90.0

0

1/88 15.4 24128

87

. 6 | 88 12.7 25229

81) 88. 5

1

2 | 86 31.0 24087

87

.1 4 86 25.6 25186

82 | 87.0

Z

3 | 84 46.8 24020

87

. 7 | 84 38.8 Ps lis?

82 | 85.6

So

4|83 2.9 23927

88

MOMMLOA Oe

25012

82 | 84.1

4

5 | 81 19.6 23807

88

.9 f 8l 6.5 24885

83 | 82.6

5

6 | 79 37.0 23663

89

.5 179 21.3 24728

84 | 81.2

6

7 | 77 55.0 23493

90

. 1 § 77 36.9 24547

85 | 79.8

a

8 | 76 13.9 23300

91

.8 | 75 53.5 24339

86 | 78. 3

8

9 | 74 33.8 23083

92

.4 474 11.2 24107

87 | 76.9

9

10 | 72 54.7 22845

93

11 | 71 16.7 22585

95

12 | 69 40.0 22306

96

13 |68 4.5 22008

98

14 | 66 30.4 21692

100

1 § .8 f 3) | Se .9 |

23850

88 | 75.6

10

23573

89 | 74.2

11

23274

91 | 72.9

12

22953

93 | 71.6

13

22616

95 | 70.3

14

15 | 64 57.6 21360

102

16 | 63 26.3 21012

104

17 | 61 56.5 20651

106

18 | 60 28.2 20277

108

19 | 59 1.4 19891

111

Ly | nS | .2 | wal

22261

96 | 69.0

15

21890

99 | 67.8

16

21505

101 | 66.6

17

21106

103 | 65. 4

18

20696

106 | 64.2

19

20 | 57 36.1

19495

114

21 | 56 12.5 19089

116

04 9 |

20275

108 | 63.1

20

19845

111 | 62.0

BAIL

22 | 54 50.4

18675

119

23 | 53 29.8

18255

11933

24 | 52 10.8 17827

126

.9 f . 8 our

19407

114 | 60.9

22,

18960

117 | 59.9

23

18508

121 | 58.9

24.

25 | 50 53.4 26 | 49 37.5 27 | 48 23.1 28 | 47 10.2 29 | 45 58.7

17396 16960 16521 16080 15636

129 | 5&9 § 133 | 58.0 | UB || B76) | 141 | 56.2 | 145 | 55.3 4

18052

OZ) yt)

25

17593

L285) 57. 0

26

17129

US2F 56a

27

16665

Ue |)By 2

28

16200

140 | 54.3

29

30 | 44 48.6 31 | 43 40.1 32 | 42 33.0 33 | 41 27.1 34 | 40 22.6

15194 14750 14308 13867 13428

149 | 54.5 | 154-535 7 158 | 52.9 | 163 | 52.1 | 168 | 51. 4 §

15734

144° \°53. 5

30

15268

148} 52.6

SL

14805

ifs) aes

32

14343

HST ole

33

13884

163 | 50.3

34

35 | 39 36 | 38 37 | 37 38 | 36 39 | 35

19.3 17.4 16.6 17.0 18.6

40 | 34 41 | 33 42 | 32 43 | 31 44 | 30

21.3 25.1 29.9 35.7 42.5

45 | 29 46 | 28 47°28 48 | 27 28) 26

50.3 58.9
8.5 18.8 30.1

50 | 25 42.1 51 | 24 54.8 52 | 24 - 8.3 53) ||63) PRs 54 | 22 37.4

55 56 57 58 __59

| 21 | 21 | 20 | 19
19

52.9 9.0
25.8 43.1
1.0

60 | 18 19.3 61 | 17 38.2 62 | 16 57.6 63 | 16 17.5 64 | 15 37.7 65 | 14 58.4

12992 12558 12129 11704 11283
10868 10458 10053
9654 9261
8875 8496 8124 7759 7401
7050 6708 6373 6046 5727
5416 5114 4820 4534 4257
3987 SDA 38475 3232 2998 2772

7

ONAN

179 | 50.0 §

184 | 49.3 §

190 | 48. 7 |

196 | 48. 1 |

202 | 47.4 § 209 | 46.9 § 216 | 46.3 § 223 | 45.8 | 230 | 45. 2 |

237 | 44. 7 | 245 | 44.2 | 253 | 43. 8 § AXSIL |, ZY Bi AO: 52)

279 | 42.6 288 | 42.0 297 | 41.6 307 | 41.2 317 | 40.9

328 | 40. 5 339 | 40.2 350 | 39.9 362 | 39.5 BD |) Bey

388 | 39. 0 401 | 38. 7 415 | 38.4 430 | 38. 2 445 | 37.9 461 |-37. 7

13428

168 | 49.6

35

12975

173 | 48. 9.

36

12528

179 | 48.3

37

12084

185 | 47.6

38

11646 | 191 | 47.0

39

DIS

197 | 46. 4

40

10786

204 | 45.8

41

10366

210 | 45. 2

42

9951

Diz || Beh 7

43

9544.

224 | 44,2

44

. 9143

232 | 43.6

45

8750

2AQ) P43: 2

46

8364

248 | 42. 7

47

7986

256 | 42. 2

48

7616

264 | 41.8

49

7254

Miss |) hl al

50

6899

283 | 41.0

51

6554

292 | 40.6

52

6216

302 | 40.2

53

5887

312 | 39.8

54

5566

323 | 39.5

55

§254

334 | 39.1

56

4951

345 | 38.8

57

4656

Ba, || Bes A

58

4371

33700) 4] Bish

59

4094.

Bea NB)

60

3826

396 | 37.6

61

3567

410 |. 37. 4

62

BS!

ADAM ode

63

3076

440 | 36.9

64

2844

455 |) 36.7

65

32

TasBLe I

c

57°

L°

b

A

C

Z’

°

/

°

0|;90 0.0; 26389

76 | 90,0

1|88 9.9] 26374

76 | 88

2 | 86 19.9} 26326

77 |-86.9

3 | 84 30.2| 26249

77 | 85.4

4 | 82 41.0| 26139

77 | 83.9

o 5 |80 52.e 5| i 26001 |[i78 |82/oi (ee

6|79 4.6| 25834] 79 | 80

7 |7717.7| 25638 | 80| 79

8 9 1110

|75 ||-77]02Ge

~2311a3..].58:6||-|—_

25415 | i22w44)o58r—99_20(o]r|)(st)

81 | 77 o89O83b4o || J7753

12 |}68 40.8| 24271] 986 | 72

D OOOONNOR

mm

3 | a

16 | 62 14.0} 22793

94

.0

17 |60 41.6} 22381

96

. 8

18 |59 10.8} 21956

98

. 6

19 |57 41.9} 21521 101

4

20 | 56 14.8} 21074 | 103

we

21 | 54 49.4) 20617 | 106

aa

22 |53 25.9] 20152] 109

. O

23 |}52 4.1] 19680} 112

. O

24 | 50 44.1 | 19202 116

~9

25 |49 25.8} 18720] 119

58°

A

C

Z’

°

27579

72 | 90.0

27563

72 | 88.4

27512

72 | 86.8

27428

72 | 85. 2

27309

73 | 83.6

2222276666197526862519089 |||| 7777|_3456_77 |||||8877720759.....15490

222555962649448 ||| 788081] ||777413...560

t? L°
0 1 2 3 4
5 6 7 8 9 111102

24141

87 | 67.5

—1—5—

23718

89 | 66.2

16

23281

91 | 649

17

22829

93 | 63. 7

18

22364

96 | 62.5

19

21889

99 | 61.3

20

21404 | 101 | 60.2

21

20911 104 | 59.1

22

20413 | 108 | 58.0

23

19908 | 111 | 56.9

24

19401 114 | 55.9

25

28 |45 41.3] 17259] 1830

17860 | 126 | 53.1

28

29 |44 29.8| 16770} 135

17347 | 1380 | 52.2

29

30 |43 19.8) 16281 139

16834 | 134 | 51.3

30

31 |42 11.4] 15793 | 143

16321 139 | 50.5

31

32 |41 4.5] 15307] 148

15813 | 143 | 49.7

32

33 | 39 59.1} 14824 | 153

15307 | 148 | 48.9

33

34 | 38 55.2} 14343 158

9.3) 14805 | 153 | 48.2

34

35 | 37 52.6| 13867 | 163

5

7.1} 14308 | 158 | 47.5

35

36 | 36 51.4] 13395 168

;

6.4; 13816 | 164 | 46.8

36

37 | 35 51.5] 12928] 174

:

7.0| 13328 | 169 | 46.1

37

38 | 34 52.8] 12465] 180

‘

8.9| 12847 | 175 | 45.4

38

39 | 33 55.4} 12009 | 186 | 45.

12.0 | 12373 181 | 44.8

39

40 | 32 59.2| 11558 192 | 45.3 |32 16.4) 11905 | 187 | 44.2

40

41 |32 4.1) 11115] 199 | 44.7131 22.0] 11443 194 | 43.6

41

42 |31 10.1| 10678 | 205 | 44.1 |30 28.7] 10991 | 201 | 43.0

42

43 |30 17.2| 10248 | 212 | 43.6] 29 36.5] 10544 | 207 | 42.5

43

44 | 29 25.4

9825 | 219 | 43.1 |28 45.3} 10107 | 215 | 42.0

id

45 | 28 34.5

9411 | 227 | 42.6 | 27 55.2

9677 | 222 | 41.5

45

46 | 27 44.5

9004 | 235 | 42.1 ]27 6.0

9256 | 230 | 41.0

46

47 |26 55.5

8605 | 243 | 41.6 |26 17.8

8843 | 238 | 40.5

47

48 |26 7.4 8213 | 251

me:

8438 | 246 | 40.1

48

4S | 25 20.1

7831 | 259

ie

8044 | 255 | 39.6

49

50 | 24 33.6

7456 | 268

A

7657 | 264 | 39.2

50

51 | 23 48.0

7090 | 278

LS

7279 | 273 | 38.8

51

52 |23 3.0

6733 | 287

. 5

6911 | 282 | 38.4

52

53 | 22 18.8

6385 | 297

yt

6552 | 292 | 38.0

53

54 | 21 35.3

6046 | 307

.8

6202 | 302 | 37.7

54

55 | 20 52.5

5715 | 318 | 38.4 |20 21.5

5862 | 313 | 37.3

55

56 | 20 10.3

5394 | 329 | 38.1 ]19 40.1

5531 | 324 | 37.0

56

57 |19 28.7

5082 | 340 | 37.8 |18 59.4

5210 | 335 | 36.7

57

58 | 18 47.7

4778 | 352 | 37.4 ]18 19.3

4899 | 347 | 36.4

58

59 |18 7.2

4484 | 365 | 37.1 ]17 39.7

4596 | 360 | 36.1

59

60 | 17 27.3

4199 | 377 | 36.9]17 0.7

4304 | 373 | 35.8

60

61 | 16 47.9

3924 | 391 | 36.6 |]16 22.2

4021 | 386 | 35.5

61

62 |16 9.0

3658 | 405 | 36.3 |15 44.2

3748 | 400 | 35.3

62

63 |15 30.6

3401 | 419 | 36.1]15 6.6

3483 | 415 | 35.0

63

64 |14 52.6

3153 | 435 | 35.9 | 14 29.5

3230 | 430 | 34.8

64

65 | 14 15.0

2915 | 450 | 35.6 113 52.8

2985 | 446 | 346

65

L°
0 1 2 3 4
5 6 7 8 9
10 11 12 13 14
15 16 17 18 19
20 21 22 23 24
25 26 Wael 28 29
30 31 32 33 34
35 36 37 38 39
40 41 42 43 44
45 46 47 48 49
50 51 52 53 54
55 56 57 58 59
60 61 62 63 64 | 14 65 | 13

TaBLeE I
0.0 0.0 0.3 1.0 2.3 4.5 LAC Pepe 8.0 5,4

33

4°

Sek NONE Pin
°

62 | 90.0

0

63 | 88.3

1

63 | 86.5

2

63 | 84.8

3

64 | 83.1

4

64 |} 81.4

5

65 | 79.7

6

66 | 78.1

7

67 | 76. 4

8

68 | 74.8

9

69 | 73.3

10

TL) 7s 7/

11

72 | 70.2

12

74 | 68.7

13

76 | 67.3

14.

78 | 65.9

15

80 | 64.5

16

82) | bes L

17

84 | 61.8

18

87 | 60.6 | 19

89 | 59. 4 |

20

92 | 58.2

21

95 | 57.0

22

98 | 55.9

23

102 } 54.8

24

105 | 53.8

25

109 } 52.8

26

113 | 51.8

27

117 | 50.9

28

121 | 50.0

29

125 | 49.1

30

129 | 48.3

31

134 | 47.5

32

139 | 46. 7

33

144 | 45.9

34

149 | 45.2

oD

155 | 44.5

36

160 | 43.8

37

166 | 438. 2

38

172 | 42.5

39

178 | 41.9

40

185 | 41.3

41

191 | 40.8

42

198 | 40.3

43

206 | 39. 7

44.

213 | 39.2

45

221 | 38.8

46

229 | 38.3

47

FOB || BiG fst

48

246 | 37. 4

49

254 | 37.0

50

264 | 36.6

51

273 | 36.2

52

283 | 35.9

53

293 | 35.5

54

304} 35.2

55

315 | 349

56

326 | 345

57

338 | 342

58

351.) 34. 0

59

364 | 33. 7

60

Sii7/ |) Sek Ge

61

391 | 33.2

62

405 | 32.9

63

ADAG ES 2u

64

ASimocne

65

NSiSCpsi

34

t° 1°

b-

°

7

61° A

0/90 1 | 87 2 | 85 3 | 83 4 | 81

0.0) 56.3) 52.8 49.8 47.6

31448 31422 31356 31249 31103

5 | 79 6 | 77 7 | 75 8 | 73 9 | 71
10 | 70 11/68 12 | 66 13 | 64 14 | 62

46.2] 46.1 47.3 | 50.0} 54.5;
0.8 9.1 19.5| 32.2 47.0|

30912 30684 30418 30116 29778
29410 29012 28584 28132 27656

15 | 61 4.3 16 | 59 23.8] 17 | 57 45.8 18 | 56 10.2} 19 | 54 37.0|
20 | 53 6.2 21 | 51 37.7| 22 | 50 11.6| 23 | 48 47.8 24 | 47 26.2)

27159 26645 26112 25566 25007
24488 23859 23274 22683 22089

25 |46 6.9 26 | 44 49.7) 27 | 43 34.6| 28 | 42 21.5 29 | 41 10.4
30 | 40 1.2 31 | 38 53.9 32 | 37 48.4 33 | 36 44.6 34 | 35 42.4

21493 20895 20296 19700 19106
18516 17927 17347 16770 16200

35 | 34 41.9 36 | 33 42.9 of | 32 45.3 38 | 31 49.2 39 | 30 54.5

15636 15081 14532 13993 13460

40 | 30 1.1 41 | 29 8.9 - 42 | 28 18.0 43 | 27 28.2 44 | 26 39.5
45 | 25 51.9 46 | 25 5.3 47 |24 19.6 48 | 23 34.9 49 | 22 51.1
0) | 22 esr2 51 | 21 26.1 52 | 20 44.7 53 | 20 4.1 54] 19 24.2
55 | 18 45.0 56 |18 6.5 57 | 17 28.6 58 | 16 51.2 59 | 16 14.5
60 | 15 38.2 61 |15 2.5 62 | 14 27.3 638 | 13 52.5 64 | 13 18.2 65 112 44.3

129388 12425 11921 11427 10942
10468 10003
9549 9106 8672
8249 7837 7435 7045 6664
6295 5937 5588 §252 4925
4608 4304 4009 3726 3453 3190

TABLE [

C

Z!

b

°

°

/

62°

A

C

Z’
<5

58 | 90.0490 58 | 88. 2 58 | 86. 4 59 | 846 59 | 82.8
60 | 81.1 Gla 795 GUNS 7.0 6247.9 64 | 74.2
65 | 72.6 66 | 71.0 68 | 69. 4 69 | 67.9 71 | 66. 4

0.0] §2.2|

32839 32815

44.8} 32746 37.8 | 32631 31.7 32468

26.6 | 22.8} 20.6 | 20.1 Pai ee EN

32264 32015 31726 31399 ell OBI7/

24.9 30639
30.5 30209 38.5 | 29750

48.8 fea

29263 28aoe

54 | 90.0 54 | 881 54 | 86.2 55 | 844 55 | 82.5
56 | 80. 7 56 | 78.9 St Wee 58 | 75.3 59 | 73.6
61 | 71.9 62 | 70.3 64 | 68.6 65 | 67.1 67 | 65. 5

OPONE OC©CDn ONT

73 | 65.0 75 | 63.6 ComG252 80 | 60.9 83 | 59. 6
85 | 58.3 tel || Ha A 91 | 55.9 94 | 54.8 Ol eoonul

17.1 28222 35.0 27670 55.6 27104 18.8} 26520 44.5 | 25926
12.9 25321 43.7 | 24708 17.1 24087 52.9 23463 31.1 22836

69 | 64.0 71 | 62.6 ia | 61.2 76 | 59.8 78 | 58.5
Si) aee2 84 | 56.0 87 | 54.8 907) Saag 93 | 52.6

IOiL |):ys 76 LOS Pons 7 108 | 50. 7 112 | 49. 7 116 | 48.8
121. | 47.9 IPAS |facSe | 130 | 46. 3 135 | 45. 5 140 | 44.7

11.6 | 22207 54.4 | 21577

97 | 51.5 100 | 50.5

39.4 20950 | 104 | 49.5

26.6 20322

108 | 48.6

15.8 19700

112 | 47.6

7.0 19082

117

Le

0.1 18469

121

am)

5.1 17860

126

ll

1.8 17259

130

3

0.3 | 16665

136

6

145 | 44.0 150 | 438.3 156 | 42.6 162 | 42.0 168 | 41. 4

0.4 16080

141

8

aoe 15501

146

1

5.4 14931

152-

As

0.1 14371

158

. 8

6.2 13820

164

ee

174 | 40.8

3.6

180 | 40. 2

Deed

187 | 39.6

aes

194 | 39.1

43.4

201 | 38.6

55.6

209 | 38.1

8.9

PAMGY|) Bes (8)

23.3 |

224 | 37.2 4 23 38.6

233 | 36. 7 2 54.9

241 | 36.3 | 22 12.0

250 | 35.9 | 21 30.1

259 | 35.5 | 20 48.9 269.) 35.1 420 8.6

279 | 34.8 719 28.9 289 | 34.6 | 18 50.0

300 | 34.1 $18 11.8 BLIL |) 23s teal |lle) 64bs?

322 | 33.5 | 16 57.3 334 | 33.2 | 16 21.0 346 | 32.9 | 15 45.2

359 | 32.6715 9.9

373 | 32.4414 35.2 387 | 32.1414 1.0

401 | 31.9 416 | 31. 7 432 | 31.5

413 27.2 #12 53.8 #12 20.9

13280 12747 12228 11716 ay
10726 10248
9780 9323 8876
8442 8018 7606 7204 6814
6435 6067 5711 5365 5031
4708 4395 4094 3804 3525 3256

170

. 6

176

. O

183

es)

190

.9

197

JA

205 | 36.9 202) || pecenel 220 | 36.0 229 | 35.6 PBL | GD,

246 | 34.8

255 | 34.4 265 | 34.0

PHU \leaee 285 | 33.3

295 | 33.0 307 | 32.7

319 | 32.6 Sot pecan 342 | 31.8

S00 | ole a

368 | 31.3 oo2 | old

397 | 30.8 412 | 30.6 428 | 30.4

te L°

b

°

7

Tasue I

35

63°

A

C

Vi

He L°

fo)

90. 0

0

88. 0

1

86. 1

Be

84. 1

;

3

82. 2

;

4

80.3 178 42.8] 35133

48 | 79.9

5

78.4176 31.0] 34840

49 | 77.9

6

76.5 174 21.2| 34502

50 | 76.0

7

74.7 172 13.5| 34117

50 | 74.1

8

72.9170 8.1] 33688

Be M7), &

9

.21768 5.3] 33223

53 | 70.4

10

.5 166 5.2| 32722

54 | 68.6

itt

.8 164 7.8] 32189

56 | 66.9

12

.2 162 13.6] 31628

58 | 65.2

13

.6 |60 22.2] 31039

59 | 63.6

14

.1 458 33.9} 30429

61 | 62.0

15

.6 156 48.6} 29798

64 | 60.5

16

.2155 6.4| 29150

66 | 59.1

17

.8 153 27.3} 28487

68 | 57.6

18

-4 451 51.1] 27814

71 | 56.3

19

ri

27131

73 | 55.0

20

.9

26442

76 | 53.7

21

a]

25746

79 | 52.5

22

5

25050

82 | 51.3

23

aA:

24351

86 | 50.2

24

3

23654

89 | 49.1

25

LS

22959

93 | 48.1

26

8

22266

96 | 47.1

27

43

21577 | 100 | 46.1

28

na:

20895 | 105 | 45.2

29

5

y 20218 | 109 | 44.3

30

7,

6.8| 19550 | 113 | 43.4

31

.9

3.1] 18888 | 118 | 42.6

32

mt

1.2] 18236 | 123 | 41.8

33

S)

1.2| 17593 | 128 | 41.1

34

6

2.9| 16960 | 133 | 40.4

35

9

6.3| 16337 | 138 | 39.7

36

.3 130 11.3] 15723 | 144 | 39.0

37

.6 129 17.8] 15123 | 150] 38.4

38

.0 128 25.7| 145382 | 156 | 37.8

39

38. 4

13954 | 162 | 37.2

40

S788

13385 | 169 | 36.6

41

3703

TOSS Lisa less

42

36. 8

12286 | 182 | 35.6

43

36. 3

11755 | 189 | 35.1

44

35. 8 35. 3 34. 9 34. +L 34. 0

11234 | 197 | 346

45

10727.| 205 | 34.1

46

10232 | 212 | 33.: 7

AT

9749 |: 221 | 33.: 3

48

9278 | 229 | 32.: 9

49

.6

11.7

8820 | 238 | 32.5

50

.3

32.6

8373 247 | 32.1

51

il)

54.4

7938 | 257 | 31.8

52

.o

16.8

7516 | 267 | 31.4

53

eZ

40.0

(A0GNIE 200 [Rola

54

= 8)

3.8 6709 | 288 | 30.8

55

. 6

28.3

6322 | 299 | 30.5

56

.3

53.4

5949 | 310 | 30.2

57

oY)

19.1

5587 | 322 | 29.9

58

tad

45.4

5236 | 335 | 29.6

09

. 5

12.2

4899 | 347 | 29.4

60

ye

39.5

4573 | 361 | 29.1

61

WO

7.2

4258 | 375 | 28.9

62

8

35.5

3955 | 389 | 28.7

63

5

4.1

3663 |. 405 | 28.5

64

Le

33.2

3384 | 420 | 28.3

65

erS ese e S

36

t°

1°

D

°

7

0;|90 1 | 87 2 | 85 3 | 82 4 | 80

0.0 38.1 16.6 55.9 36.3

5 | 78 6|76 7 | 73 8 | 71 9 | 69

18.2 2.0
48.0 36.3 27.3

10 | 67 11 | 65 12 | 63 13 | 61 14 | 59

21.2 18.0 18.0 21.2 27.7

15 | 57 37.5 16 | 55 50.6 17 | 54 7.0 18 | 52 26.8 19 | 50 49.7

20 | 49 15.8
21 | 47 45.1 22 | 46 17.3 23 | 44 52.5 24 | 43 30.5

25 | 42 26 | 40 27 | 39 28 | 38 29 | 37

11.2 54.5 40.4 28.7 19.4

30 | 36 Oi to 32 | 34 sey es) 3 NS¥4

12.2 auee 4.3 333 ee:

35 | 31 6.8 36 | 30 11.2 37 | 29 17.1 38 | 28 24.6 39 | 27 33.6

40 | 26 43.9 41 | 25 55.6 42 |25 8.6
43 | 24 22.8 44 | 23 38.1

45 | 22 54.6 46 | 22 12.1 47 | 21 30.6 48 | 20 50.0 49 | 20 10.3

50 | 19 31.5 51,18 53.5 52 | 18 16.3 53 | 17 39.9 54 |17 4.1

55 | 16 29.1 56 | 15 54.6 57 | 15 20.8 58 | 14 47.6 59 | 14 14.9

60 | 13 42.7 61 | 13 11.1 62 | 12 39.9 63 |}12 9.1 64 | 11 38.8 65 |11 8.9

TABLE 1

65°

66°

A C

A

37405

43

37375

43

37283

43

37132

43

36924

44

36660

44

36341

45

35972

46

35552

47

35091

48

34584

49

34043

51

33468

52

32863

54

32229

56

31573

58

30898

60

30206

62

29500

65

28782

67

28058

70

27327

73

26592

76

25855

79

25119

82

243885

85

23654

89

22927

93

22207

97

21493

101

20786

105

20088

110

19401

114

18720

119

18052 | 124

17396

129

16750

135

16116

140

15493

146

14882

152

14284

158

13699

165

13124

Wie

12566

179

:

12018

186

aad

11482

193

24

10961

201

m0)

10453

209

ho

9956

217

els

9473

226

ar

9003 8544 8100 7667 7247

ZopnlPolee

244 | 31.0

Zoe

. 6

263

ee

274

. O

6841

284

Na,

6447

295

4

6064

307

e |

5694

319

8

5336

331

5

4991

344

eb}

4658

ool

Sel:

4337

371

.8

4028

3885

.6

3730

401

.4

3446

417

x2,

: ,18 13.8
F

39069 39034 38935 38769 38542
38252 37904 37501 37044 36541
35995 35407 34785 34132 33450
32746 32023 31284 30530 29768
28998 28222 27446 26669 25891
25119 24351 23591 22836 22089
21352 #20625
19907 19202 18509
17827 17159 16501 15858 15228
14610 14008 13416 12839 12277
11727 11191 10669 10160
9665
9182 8713 8258 7815 7387
6970 6566 6176 5798 5433
5082 4741 4414 4099 3796 3505

min
°
39 | 90.0 39 | 87.8 40 | 85.5 40 | 83.3 40 | 81.1
41 | 78.9 42 | 76.8 43 | 74.7 44 | 72.6 45 | 70.6
46 | 68. 7 47 : 66.8 49 | 65.0 51 56352 52) "6155
54 | 59.8 56 | 58. 2 59 | 56.7 61 | 55.2 64 | 53.8
66 | 52.5 69 | 51.2 72 | 49.9 75 | 48.7 79 | 47.6
82 | 46.5 86 | 45.4 89 | 44.4 93 | 43.5 97 | 42.6
102 | 41.7 106 | 40.8 111 | 40.0 116 | 39.3 121 | 38.5
126 | 37.8 131 | 371 137 | 36.5 143 | 35.9 149 | 35.3
155 | 34.7 161 | 342 168 | 33.6 L75e|tsas 182 | 32.7
190 | 32.2 198 | 31.8 205 | 31.3 214 | 30.9 222 | 30.5
231 | 30.2 240 | 29.8 250 | 29. 5 260 | 29.1 270 | 28.8
281 | 28.5 292 | 28.2 303 | 28. 0 315 | 27.7 SQ | 2s:
B40) 27a2 354 | 27.0 367 | 26.8 382 | 26.6 397 | 26. 4 413 | 26.2

4°
wel.
0 1 2 3 4
5 6 rh 8 9
10 11 12 13 14
15 16 17 18 19
20 Pal 22 23 24
25 26 PAE 28 29
30 31 32 33 34
35 36 on 38 39
40 41 42 43 44
45 46 47 48 49
50 51 52 53 54
55 56 57 58 59
60 61 62 63 64 65

t° L°

0/190 1 | 87 2 | 84 3 | 82 4 | 79

0.0 26.5 53.6 21.6 51.2

5 Ct 6 | 74 GNeti2t 8 | 70 9 | 67

2PBU 56.7 doce 13.0 56.1

10 | 65 42.7 11 | 63 33.0
12 | 61 27.2
13 | 59 25.4 14 | 57 27.5
15 |55 33.5

16 | 53 17 | 51 18 | 50 19 | 48

43.6 57.5 15.2 36.7

20 |47 1.8 21 | 45 30.5 22 |44 2.5 23 | 42 37.8 24 | 41 16.2

25 | 39 26 | 38
27 | 37 28 | 36 29 | 35

57.6 41.9
29.0 18.6 10.8

30 | 34 5.3
31 | 33 2.1 32 | 32 1.1 33 | 31 2.1
34 | 30 5.0

35 | 29 9.7 36 | 28 16.3 37 | 27 24.5 38 | 26 34.2 39 | 25 45.5

40 | 24 41 | 24 42 | 23 43 | 22 44 | 22

58.2 12.2 27.5 44.0
1.7

45 | 21 20.5 46 | 20 40.4 47 |20 2 48 | 19 23.0 49 | 18 45.6

50 |18 9.1 51 | 17 33.5 52 | 16 58.6 53 | 16 24.4 54 | 15 50.9

55 | 15 18.1 56 | 14 45.9 57 | 14 14.3 58 | 13 43.2 59 | 13 12.7

60 | 12 42.7 61 | 12 13.2 62 | 11 44.2 63 | 11 15.6 64 | 10 47.4 65 !10 19.6

9358 8878 8412 7959 7520
7096 6684 6285 5900 5528
5169 4823 4488 4168 3859 3563

Ada |(M1 SV

68° as

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228 | 29.0 | 17 27.0

237 | 28.6416 52.5

247

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257

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267

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277

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288

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300

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324

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337

db Fey) Tp.

350

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364

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379

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394

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410

ball 9 54.5

42642 42601 42479 42281 42004
41655 41234 40753 40207 39609
38961 38272 37541 36779 35990
35177
34345 33497 32640 31777
30909 30039 29171 28305 27446
26592 25746 24913 24087 23274
22474 21686 20911 20152 19407
18675 17959 17259 16573 15902
15247 14606 13982 13373 12779
12200 11636 11087 10553 10033
9529 9038 8562 8100 7652
7219 6799 6392 6000 5620
5254 4901 4561 4234 3921 3620

a NG
°
33 | 90.0 30 | o%. 0 ayy || tefay Al 33 | 82.6 34 | 80. 2
34 | 77.8 3 15), 5 340) |) 7/3, a || 7AL © 38 | 68. 8
39 | 66. 7 Al } 64.7 42 | 62.8 44 | 60.9 46 | 59.1
48 | 57.4
SOM Spar, 527 | eo4al! oll AA (0) iI Girl. a
60 | 49.8 63 | 48. 4 66 | 47. 2 69 | 46. 0 72 | 448
76 | 43.7 79 | 42: 7 83 | 41. 7 87 | 40.7 91 | 39.8
95 | 38.9 100 | 38.1 104 | 37.3 109 | 36.6 114 | 35.8
IS) |) Soy, We 125 | 34.5 130 | 33.9 136 | 33.3 1219) || GY, 7/
149 | 32.2 GS |) BIL 162 | 31.1 169 | 30.6 176 | 30.2
183 | 29.7 191 | 29.3 199 | 28.9 207 | 28.5 216 | 28. 2
225)| 208 PByil |) Dare & SNRs || PACE Ab 2530/0265 5 264 | 26.5
274 | 26.3 285 | 26.0 PA | SASS, 70 309 | 25.5 ook e205 2
334 | 25.0 347 | 24.8 361 | 24.6 376 | 24. 4 391 | 24.2 407 | 24.0

CPO ONE OSCrON

a

38

TABLE |

v° L°

b

°

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69°

A

C

Z’

b

°

°

?

70°

A

C

ee A! ee
ro) |ie

0/90 0.0} 44567

30 | 90.0 |90 0.0) 46595

27 | 90. 0

0

1 | 87 12.7| 44521

30 | 87.4 |87 4.7) 46545

27 | 87.3

1

2 | 84 26.1 | 44388

30 | 84.8 |84 10.2) 46397

27 | 84.5

2

3 | 81 40.8} 44168

30 | 82.2 |81 17.3| 46149

28 | 81.8

3

4 | 78 57.5 | 43863

31 | 79.7 | 78 26.7 | 45812

28 | 79. 2

4

5

am

45385

29 | 76.5

5

6

.8

44874

29 | 74.0

6

i

Mh

44288

30 | 71.5

7

8

Ld

43631

31 | 69.1

8

9

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42912

32 | 66.7

9

10

oath

42142

34 | 64.5

10

11

. 6

41322

35 | 62.3

11

12,

26

40463

37 | 60.3

12

13

. 6

39569

38 | 58.3

13

14

.8

38649

40 | 56.4

14

15

. 0

37710

42 | 54.6

15

16

7)

36753

44 | 52.9

16

17

7

35782

46 | 51.2

17

18

22

34808

49 | 49.7

18

19

awe

33829

51 | 48. 2

19

20

a)

32851

54 | 46. 8

20

21

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31877

57 | 45.4

21

22

eg

30909

60 | 44. 2

22

23 |

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29947

63 | 43. 0

23

24

3

28998

66 | 41.8

24

25 |

. 2

28058

70 | 40. 7

25

26

.2

27131

73 | 39.7

26

27

. 2

26219

77 | 38.7

27

28

no

25321

81 [38

28

29

:

24438

85 | 36.9

29

30

.5

23571

89 | 36.1

30

31

Mg

22722

94 | 35.2

31

32

ao

21889

99 | 34.5

32

33

Be

21074 | 103 | 33.8

33

34

5

20275 | 108 | 33.1

34

35 |27. 6.2] 19089 | 116 | 33.8 ]26 2.0; 19495 | 114 | 32.4

35

36 | 26 15.3; 183849 | 122 | 33.1] 25 12.5) 187382 |, 119 | 31.8

36

37 |25 26.1) 17627 | 128 | 32.5 |24 24.7) 17987 | 125 | 31.2

37

38 |24 38.4) 16919 | 133 | 31.9 [23 38.5) 17259] 130 | 30.6

38

39 | 23 52.3 | 16230 | 139 | 31.4 | 22 53.8| 16549 | 137 | 30.0

39

40 |23 7.6] 15555 | 146 | 30.9 |22 10.6} 15856 | 143 | 29.5

40

41 | 22 24.2) 14897 | 152 | 30.3 | 21 28.6; 15181 149 | 29.0

41

42 |21 42.2) 14256 | 159 | 29.8 |20 48.0| 14522 156 | 28.5

42

43 |21 1.3) 13631 | 166 | 29.4]20 85] 138882} 163 | 28.1

43

44 | 20 21.6) 13021 173 | 28.9 | 19 36.2 | 13256 | 170 | 27.7

44

45 | 19 43.0; 12428] 180 | 28.5 118 52.9) 12650 | 178 | 27.2

45

46 |19 5.4) 11851 188 | 28.1 |18 16.7) 12058 | 185 | 26.8

46

47 |}18 28.7) 11288 | 196 | 27.7 ]17 41.4) 11483 193 | 26.5

AT

48 | 17 53.0) 10742 | 204 | 27.3 [17 7.0; 10925 | 202 | 26.1

48

49 |17 18.2| 10211 | 213 | 27.0 716 33.5} 10382 | 210 | 25.7

49

50 | 16 44.2

9695 | 222 | 26.6416 0.8

9856 | 219 | 25. 4

50

51 |16 11.0

9195 | 232 | 26.3 715 28.8

9345 | 228 | 25.1

51

52 | 15 38.5

8708 ; 241 | 26.0 |14 57.6

8849 |. 238 | 24.8

52

53 | 15 6.7

8237 | 250 | 25.7 | 14 27.1

8369 | 248 | 24.5

53

54 | 14 35.6

7781 | 261 | 25.4 [13 57.3

7904 | 258 | 24. 2

54

55 | 14 5.2

7338 | 271 | 25.1 713 28.1

7452 | 268 | 24.0

55

56 | 13 35.3

6910 | 282 | 24.8 | 12 59.4

7017 | 279 | 23.7

56

57/13 6.1

6495 | 294 | 24.6 |12 31.4

6595 | 291 | 23.5

57

58 | 12 37.3 6096 | 306 | 24.4712 3.8 6187 | 303 | 23.2

58

59 |}12 9.1

5710 | _318 | 24.1 [11 36.8

5795 | 315 | 23.0

59

60 | 11 41.4

5337 | 331 | 23.9 |11 10.2

5416 | 328 | 22.8

60

61 | 11 14,1

4977 | 344 | 23.7710 44.1

5052 | 341 | 22.6

61

62 | 10 47.3 4632 | 358 | 23.5 |10 18.4 4700 | 355 | 22.4

62

63 | 10 20.9

4300 | 373 | 23.3] 9 53.1

4362 | 370 | 22.2

63

64 | 9 54.9

3981 | 388 | 23.1] 9 28.2

4038 | 385 | 22.0

64

65 | 9 29.2 3675 | 404 | 23.0] 9 3.7 3727 | 402 | 21.9

65

TaBie

¢°

71°

L°
=

b
MORE

A
ioe ke.

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Oma

0|90 1 | 86 2 | 83 3 | 80 4 | 77

0.0 55.9 52.7 51.3 52.7

48736 48680 48512 48240 47861

5 | 74 6|72
7 | 69 8 | 66 9 | 64

57.5 6.5
20.2 39.1
3.5

47387 46822
46173 45450 44663

10 | 61 33.6 11 |59 9.6 12 | 56 51.6 13 | 54 39.5 14 | 52 33.3

43814 42922 41985 41018 40023

15 | 50 16 | 48 17 | 46 18 | 45 19 | 43

32.7 37.7 48.0
3.4 23.8

39009 37984 36948 35907 34868

20 | 41 48.7 21 | 40 18.1 22 | 38 51.7 23 | 37 29.3 24 | 36 10.5

33829 32799 Medinds 30766 29768

25 | 34 55.3 26 | 33 43.4 27 | 32 34.6 28 | 31 28.8 29 | 30 25.6

28782 27814 26862 25926 25007

30 | 29 25.1 31 | 28 27.0 32 | 27 31.2 33 | 26 37.6 34 | 25 45.9

24107 23227 22364 21521 20696

35 | 24 56.2 36 | 24 8.2 37 | 23 22.0 38 | 22 37.3 39 | 21 54.1
40 | 21 12.4 41 | 20 31.9 42 | 19 52.7 43 | 19 14.7 44 | 18 38.0

19891 19104 18338 17589 16859
16148 15456 14780 14124 13485

45 118 2.0 46 | 17 27.2 47 | 16 53.3 48 | 16 20.3 49 | 15 48.1

12865 12259 11672 11103 10548

50 | 15 16.8 51,14 46.2 52 | 14 16.3 53.) 13 47.1 54 |13 18.5

10012 9490 8986 8496 8022

55 | 12 50.5

7563

56 | 12 23.1

TA

57 | 11 56.3

6691

58 | i1 30.0

6277

59 | 11 4.1 poss

60 | 10 38.7 61 | 10 13.8 62 9 49.3 63 9 25.1 64 9 1.4 65 8 37.9

5492 5122 4765 4422 4093 3778

[
7
0.0 46.0 SB H-4 22.5 15.0
11.5 12.9 19.8 32.6 51.8
17.4 49.7 28.7 14.2
6.1
4.3 8.5 8.4 3.8 4.4
19.9 50.1 24.6
3.0 45.8
31.9 21.4 14.2
9.8 8.3
9.4 3.0 8.8 6.8 36.9
48.8 2.5
17.9 34.8 §3.2 13.0 34.2 56.5 20.0 44.7
10.3 37.0
4.5 2.9 ee
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2.6 6.4 20.8 AERC 31.1
6.9 43.2 19.8 56.9 34.3 12.0

72°
A
51002 50939 50754. 50446 50023
49492 48865 48142 47345 46473
45547 44567 43550 42498 41424
40333 39231 38123 37012 35907
34808 33717 32640 31578 30530
29500 28487 27494. 26520 25566
24632 23720 22829 21956 21106
20277 19468 18678 17909 17160
16431 15721 15031 14359 13705
13071 12454 11855 11273 10709
10161 9630 9117 8619 8137
7669 7219 6783 6363 5958
5566 5190 4828 4480 4146 3826

C

7!

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22 | 90.0 22 | 86.9 22 | 83.9 yan ar) OS) 4 || 70 Y

Wes \\ 7a (Y PHN |) 724, P2
25 | 69. 4 26 | 66.8 Diff \\ (eyes, 5

28 | 61.9 30 ' 59.6 Bl || Eire 4! 38) |) bia, Be B45) |) BB, 3

Syea lall, 39 | 49. 7 41 |} 48.0 44 | 46. 4 46 | 44.9

49 | 43.5 5) || Ala, De 55 | 40.9 58 | 39. 7 61 | 38.6

64 | 37.6 68 | 36.5 || Bay © TAS || Byh, 9/ 80 | 33.8

84 | 33.0 89 | 32. 2 OR | ail, & 98 | 30.8 LOST R30 S2

108 | 29.5 114 | 28.9 119 | 28.4 125 27.8 Ua || Bre
138 | 26.8 144 | 26.3 151 | 25.9 158 | 25.5 165 2520

IAN OYE Ff 180 | 24.3 188 | 24.0 196 | 23.6 205)" 2583

QIARIT2Z350 223225 232 224: DAD ae2 220 253 | 21.9

26302156 PATEL OAL, at 286 | 21.2 298 | 21.0 310 | 20.8

323 | 20.6 336 | 20. 4 350 | 20. 2 365 | 20.0 380 | 19.9 396 | 19.7

39
t°
L°
0 1 Zz 3 4.
5 6 7 8 9
10 11 12 13 14
15 16 17 18 19
20 21 22 23 24
25 26 27 28 29
30 31 32 33 34
35 36 3i7/ 38 39
40 4t 42 43 44
45 46 47 48 49
50 51 52 53 54
55 56 S7/ 58 59
60 61 62 63 64 65

——E—>> EEE

:

. : -

.

50 | 13 47.0} 51 , 13 19.2 52 | 12 52.0

53 | 12 25.5

54 | 11 59.6

55 | 11 34.2

56} 11 9.4 57 | 10 45.0

58 | 10 21.2

59 | 9 57.8

i

es

SS

ss

TaBieE [|

SS

sss

ees

ees ee se
17 | 90.0 17 | 86.5 17 | 83.1 18 | 79.7 18 | 76.3 18 | 73.1 20 | 70.0 20 | 67.0 21 | 64.1 23 | 61.4 24 | 58.8 25 | 56.4 27 | 54.1 28 | 51.9 30 | 49.8 32 | 47.9 34 | 46.1 37 | 44.4 39 | 42.9 41 | 41.4 44 | 40.0 47 | 38.7 50 | 37.4 53 | 36.3

y,co° ° —————.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

.9 .9
0 ue 2

4 By’ 30 As) ih

ak ae . 9 4 ao

4 . 0
6 1 mie)

4 . 0 0 4 2

10306 | 211 | 21.8

9765 | 221 | 21.5

9242 | 230

.2

8736 | 240

. 9

8246 | 250

Ee

7773 | 261

. 5

7315 | 272

4

6871 | 283

0

6445 | 295

8

6033 | 308

6

a

ee, I

64 | 33.2 67 | 32.3 71 | 31.4 75 | 30.6

80 | 29.8 84 | 29.1 89 | 28.4 94 | 27.8 99 | 27.1

104 | 26.6 109 | 26.0 115 | 25.5 121 | 25.0 127 | 24.5

133 | 24.0 139 | 23.6 146 | 23.2 153 | 22.8 160 | 22.4

.

168 | 22.1

.

175: |.Ziad

:

183 | 21.4

°

192 | 21.1

:

200 | 20.8

]13 1.4] 112 35.0
9.2 4.0 9.5

10443 | 209 | 20.5 9894 | 218 | 20.3 9362 ; 228 | 20.0 8848 | 238 | 19.8 8351 | 248 | 19.

5.4 7869 | 259 | 19.3

1.9 7404 | 270 | 19.1

8.9 6956 | 281 | 18.9

6.4 6523 | 293 | 18.7

4.2 6106 | 305 | 18.5

———————— ———

a

26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59
iia

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201|//89820619.008..|05}] 555888367300460]]}

111555

988015 54270...420||| 666111652320259]]}

111333 |||988062...000

021

43||7478 3532..29|| 5577828778 || 1166

7773 4562..67|| 650969969}4 | 1144| | 7784..14

3 4

5 |71 19.4| 56516 | 17

7Omiat|| 50127 )|5 la Our

5

76 ||6647 5337..92|| 5545661294 || 1187

6663 315..04|| 5586191759]} 1166 ||6674..30

7 6

98 ||5618 2392..91|) 5532531340] | 2109

5596 5407..83|| 5545472443| | 1178 ||6507..89

8 9

10 |55 44.1) 51088] 22

53 54.8| 53044 | 20 | 55.1 10

1112 ||5530.53.65.3!{ 4498749625 || 2235

4581134.11.8!| 5510612711] | 2213! |5502..26

1121

1134 ||4468 164..02|| 4475171564] | 2268

4464 208..42|| 4478262959| | 2264 || 4457..99

1134

15/44 04| 44389/ 30

42 4.7| 45754 | 28 |43.9 15

16 |42 4.2] 43026] 32

40 9.2| 44294] 30] 42.1 16

17 |40 15.0| 41673 | 34

38 21.3] 42850] 33 | 40.5 17

18 |38 32.4] 40333 | 37

36 40.2} 41424] 35 | 38.9 18

19 |36 55.9] 39009 | 39

35 5.5| 40023 | 37 | 37.4 19

2210 ||3353 2559..04|| 3367473007] | 4452

3332 3163..72|| 3387634095 || 4430 || 3364.81

2210

22 |32 38.6| 35177| 48

30 54.7| 35990 | 46 | 33.6 22

98)|/312213| 338047). 51

29 40.8| 34704] 49 | 32.5 23

24 |30 10.2| 32746 | 54

28 31.1] 33450 | 52 |31.5 24

25 |29 1.9| 31573 | 58

27 25.2| 32229 | 56 | 30.5 25

26 |27 57.2] 30429] 61

26 22.9] 31039 | 59 | 29.6 26

2987 ||2256 5557..73|| 2298321222 || 6695

2245 2237..99|| 2298878503] | 6637 ||2288..80

2278

29 |25 1.7| 27159] 73

23080Ti|| 27656) i i eee 29

3S012|324 a88i.82} |) 2265112260|) 17882

2221 4545..19|} 2256555950} | 8706] |2256..58

3310

3332 ||2212 4330..80|| 2243114818]] 9817

2210 259..99|| 2234556487]] 9850 ||2245..62

3332

34 |20 59.6| 22261] 97 | 25.6] 19 43.9| 22616 | 95 |24.0 34

35 |20 17.2| 21360 | 102 | 25.0] 19 3.6| 21692 | 100 |23.5 35

33336879 ||||11119788 35413679....5537]||] 21110898406880301425 |||| 111111023975 | 23.0515]]1111781167122438573...]009]|] 21119809027975927753]] || 111112011357 ||||22222132....5600

33336879

40 |}17 85 | 17220 131

~-6416 5.0] 17459 129 | 21.2

40

41 | 16 34.8) 16461 137

24115 33.1| 16686 135 | 20.8

41

42/16 2.2; 15724| 144

8}15 2.3] 15936 142 | 20.4

42

43 | 15 30.7; 15010] 151

o | 14 32.6| 15208 149 | 20.1

43

44/15 0.2] 14317] 158

1414 3.8] 14501 156 | 19.7

44

45 | 14 30.6] 13644] 166

8 | 13 36.0) 13816 164 | 19.4

45

46 |14 2.0} 12991 173

4413 9.0|) 13153 Uy Le)|ibs eth

46

47 |13 34.1] 12357 181

1] 12 42.8) 12510] 179] 18.8

47

48 |}13 7.1) 11744 | 190

8] 12 17.3] 11886] 188 | 18.5

48

49 | 12 40.8} 11149 198

5 | 11 52.6] 11282 196 | 18.3

49

50 | 12 15.2} 10573 | 207

3111 28.5; 10698} 205 | 18.0

50

51 | 11 50.2; 10017 | 216

.OfF 11 5.0} 10132 |] 214 | 17.8

ol

52 | 11 25.9

9477 | 226

8 7 10 42.2

9584 , 224 | 17.6

52

53 | 11 2.2 8954 | 236

.5 | 10 19.9

9055 | 234] 17.3

53

54 | 10 39.0

8449 | 246

34 9 58.1

8543 | 244 | 17.1

54

55 | 10 16.3

7961 | 256

ane

36.9

8049 | 255 | 16.9

55

56 | 9 54.2

7491 | 267

97 9 16.1

7572 | 266 | 16.7

56

57

32.5

7036 | 279

7] 8 55.7

TZ) 2 16.6

57

58 | 9 11.2

6597 | 291

5] 8 35.8 6667 | 289 | 16.4

58

59 | 8 50.4

6174 | 303

4] 8 16.2

6240 | 301 | 16.2

59

60 | 8 29.9

5767 | 316

2] 7 57.1

5827 | 314 | 16.1

60

61 | 8 9.9 5376 | 329

O} 7 38.3

5431 | 328 | 15.9

61

62 | 7 50.1

4999 | 343

9} 7 19.8

5050 | 342 | 15.8

62

63 | 7 30.8 4638 | 358

CON Wie fatve EI 4684 | 356 | 15.6

63

64} 7 11.7 4291 | 373

.6] 6 43.8

4334 | 371 | 15.5

64

65 | 6 52.9 3958 | 389

51 6 26.2

3998 | 387 | 15.4

65

Table | il :
~~
ExplanaEi | fon
of the — .
Construction and Use of Tables
;
|

42

L° t° b

a Li

3

°

7

0|930 0.0; 1 | 85 33.8| 2/81 10.6) 3 | 76 53.1} 4 | 72 43.9|

64791 64664 643802 638700 62893

5 | 68 6 | 64 7 | 61 8 | 58
9 | 54

44.9} 57.4| 22.4)
0.3}
51.1

61898 60740 59453 58060
56588

10 | 51 54.5; 55056

11 | 49 10.2; 53486

12 | 46 37.4) 51895

13 | 44 15.4) 14 |42 3.5}

50296 48699

15 |40 0.9} 47116

16 | 38 6.8] 45551

17 | 36 20.7| 44012

18 | 34 41.8| 42498

19 | 33 9.4} 41018

20 | 31 43.1 | 39569

21 | 30 22.3) 38155

22 | 29 6.5] 36780

QZ \at- ood | odor 24 | 26 48.3] 34132

25 | 25 45.2| 26 | 24 45.6] 27 | 23 49.3] 28 | 22 55.9| 29 | 22 5.3|
“30 :| 21 17.2]
31 | 20 31.5] 32 | 19 47.9|
33 |19 6.3) 34 | 18 26.6)

32863 31628 30429 29263 28132
27034
25968 24933
23929 22953

35 | 17 48.6) 36 | 17 12.2} 37 | 16 37.3} SoH 16. o.e) 39 | 15 31.5
40|15 0.4 41 | 14 30.5|] 42 |14 1.6] 43 | 13 33.7| 44|13 6.8]

22008 21090 20201 19337 18498
17685 16898 16134 15394 14676

45 | 12 40.7| 46 | 12 15.4] 47 | 11 50.8} 48 | 11 27.0} 49 |11 3.9)
50 | 10 41.4 51 | 10 19.4 52 | 9 58.1 53 | 9 37.3 54 | 9 16.9

13980 13305 12652 12020 11407
10814 10241
9687 9150 8631

55 8 57.1 56 | 8 37.7 57 | 8 18.7 58 | 8 0.1 59 | 7 41.9
60 | 7 24.0 61 | 7 6.5 62 | 6 49.2 63 | 6 32.3 64 | 6 15.7 65! 5 59.3

8132 7649 7183 6733 6300
5883 5483 5098 4729 4374 4035

Tasie [

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0/90 0.0; 1 | 83 38.0] 2|77 25.0)
3 | 71 28.7| 4 | 65 54.9|

80567 80302 79533
78315 76721

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74824 72716
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A

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63424 61099
58815 56588 54424

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523830 50308 48355 46473 44663

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21 | 22 10.3} 41231 22 | 21 10.0; 39609 23 | 20 13.8] 38048 24 119 21.6} 36541

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28 29
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TABLE I

45

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83°

84°

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b

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0|90 0.0} 91411

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2|74 0.6} 89725

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4

4/160 9.2) 853837

4

90 0.0| 98077

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0

80 31.2) 97480

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1

71 31.6] 95805

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63 22.3) 93274

3 | 63.5

3

56 13.1} 90151

3 | 56. 4

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50 4.3] 86712

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7

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Css

8

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9

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10

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11

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10 ; 28.8

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15

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14 | 25.0

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14 |26 2.9) 56979

16

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AAD) |) A

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53

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90

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47

t°

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88°

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0|90 0.0} 128120
1 | 71 33.3 | 125843 2 | 56 17.2| 120151
3 | 44 57.6 | 113099 4 | 36 48.8 | 105985

5 | 30 53.3 6 | 26 28.2 7 |)2-8) = byl 8 | 20 25.5 9/18 17.1

99335 93274 87783 82828 78315

10 | 16 31.9 11|15 4.2 12 | 13 49.9 13 | 12 46.4 14 oat 5-3
15 |11 3.1]
16 | 10 20.6 17 9 42.8 18 9 9.0 19 8 38.6

74197 70421 66936 63700 60696
57887
55254 52779 50446 48236

20 8 11.0 46149 21 7 45.8 44168
ODE e722Ss| 49981

23 ba AEG 40483 24 6 42.3 38769

25 6 24.2 37132 26 6 7.5 35568 Qh 5 51.9 34067 28 5 37.3 32631 29 5 23.6 31249

30 5 10.8 Sil 4 58.7 ove 4 47.3 33 4 36.5 34 4 26.2

29926 28652 27428 26249 25113

35 4 16.5 24020 36 A ee 22966 Bi 3 58.4 21959 38 3 49.9 20969 39 3 41.9 20022

40

3 34.1

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43 3 12.7 16553

44 3 6.1
45 | 2 59.8| AGH SD 5S.G

15759
149902 1425R

47 2 47.6 13535

48 2 41.9 12845
AON MOIS es Wty

50 2 30.9 11532

51 2 25.6 10911

52 2 20.5 10310

53 2 15.5

9732

54 2 10.7

9173

55 74 a) 56 74. 11583 57 i 56.8 58 1 52.4 59 1 48.1

8634 8116 7615 7135 6672

60 1 43.8 61 1 39.7 62 1 35.6 63 1 31.7 64 1 27.7 65 iL Zaye)

6227 5800 5389 4997 4620 4260

C

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4.9

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37283

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25

47

6.87 4 5.6 35705

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30

68

5.8 | 3 19.4

28742

67

3.9

ol

72

5.61 3 11.8

27510

72

3. 8

32

OU

Bs |) BB ZkS

26326

el

3-2

33

82

5.4 { 2 57.7

25186

82

3. 6

34

87

5.24 2 51.2

24087

87

3, &

35

93

5.14 2 45.0

23028

92

3. 4

36

98

SON 2e39ht

22006

98

3 3

ad,

104

AM One Zee

21022

104

3}, 2

38

110

4.84 2 28.1

20072

110

By 4

39

116

ALO \ DR)

19155

116

&,

40

123

4.64 2 17.9

18271

122

3. 0

41

130

ah i || 24 ish

17417

129

3. 0

42

136

444 2 8.6 16592

136

3. 0

43

144

ARS

2) 4e2: 15794

143

2.9

44

| 151| 424 1 59.9] 15025] 151| 28

45

|) 159.) ALON 1 5568)\s 142827) 1585 288

46

167

4.14% 12 51.8

13565

166

DD, 7

47

175

4.04 1 48.0

12871

17/5} P20

A8

Shs A OM 1 Aas T2209" WSs) bon 7,

49

193

3.9 4 2 40.6

11555

192

2.6

50

202

3.9

1 37.1

10932

201

2. 6

51

211

3.8

1 33.7

10331

Paki 225

52

221

3. 8 i 30.4

9750

221

Day

53

231

3, Uf 2A

9151

Doll Das

54

242

Sy 7 i 24.0

8650

242

2. 4

55

253

34, @ i 20.9

8131

253

2. 4

56

264

3. 6 t 17.9

7630

264

Dae:

57

276

3

i 15.0

7147

276

2. 4

58

289

3%

i 12.1

6683

288

Dae

59

302

3.5

1 9.3

6238

301

2, 3

60

315

3. 4 1 6.5

5809

3815

2a

61

329

3. 4 1 3.8

5399

329

Wo. SS

62

344

3. 4 bi

5005

343

2a,

63

359

3h SS 0 58.5

4628

358

Ze,

64

315

3S

0 55.9

4267

374

ae,

65

Explanation | of the
Construction and Use of Tables

48

TABLE [|

ne

89°

L°

b

A

C

Ag

b

ica am (aca maT EU aaa |Uma |(aac | (GT oYURIG (a

0190 0.0| 1 |44 59.7| 2 | 26 33.3| 3 |18 25.1| 4/14 0.8|

175814 160741 140863 125843 114325

0 0

0

0 0

0

0 6

0

1 4

0

1 0) 0

5 | 11 16.9| 6 | 9 25.7| 7| 8 5.4| 8 | JuAqT| 9! 617.3]

105126 97480 90976 S814 80302

2 3

0

2) 9.5 0

3 | 82

0

Bel oe od 0

5| 64

0

0 | 5 39.2| 14 | 26° Ti8i 12 | 4 41.6] 13 | 4 19.4] 14] 4 0.2]

75819 “7a765 68063 64664 61525

Fels ey

0

Rol ge

0

10/ 48

0

Ltd cA A 0

13¢)ex4al

0

15 | 3 43.6] 58606

15 | 39

0

16 | 3 29.0] 55887

17. |. 3268 0

17 | 3 16.0] 53336

Aol bea

0

18 | 3 4.5} 50939 ile one 0

19 | 254.1] 48680 DA. |oeSil 0

20 | 2 44.7| 46545

575 eo

0

21 | 2 36.2| 44520 S031 p28 0

22 | 2 28.4| 42601

38 al eehe7 0

23 | 2 21.3| 40776

36 | 2.6

0

241 214.7| 39034 39,1 5-945 0

=95 | 2a So 26 | 2 3.0] 97 | al eB74| 298 | 152.8| 29 | 1 48.2|

S787D 35787 34271 32815 31422

ASS Eater eo On

AG.|2 235 2H

FiO) | e2e2 0

BA ni

0

AR |oeDall 0

30 | 1 43.9| 30083

63 | 2.0

0

31 | 1 39.8| 28797 67 | 1.9 0

32 | 136.0| 27563

1 Aad

0

33 | 1 32.4| 26374

760.2128

0

34 | 1 28.9| 25229

Siyleeias

0

35 |. 1 25:7) 24128 i eaas Br 0

36 | 1 22.6| 23066 Goal salser 0

37 | 119.6| 22042

OR Rly

0

38 | 116.8] 21055| 104] 1.6 0

39°) 1 -44sth -20108-4.-110. 2156 0

40 | 111.5| 19184| 116| 1.6 0

AM | 2 OO) 18290741 2122 Ae iis5 0

ADA De GG) 174414 129-1) 6125 0

43| 1 48| 16613! 136] 15

0

AAN Ay sD, -PESUBO T4382), chad. 0

45 | 1 0.0| 15045| 151| 14

8

46 | 0 57.9] 14300] 158] 14 0

47 | 055.9] 13581] 166] 1.4 0

48 | 054.0] 12887] 175] 1.3 0

)AO | 052.2} 5122065") 183)}° 1.38 0

50 | 0 50.3| 11570 | 192] 1.3 0 51 | 0 48.6] 10946] 201! 1.3 0 52 | 0 46.9] 10343) 211] 1.3 0 53 | 0 45.2 O762" |): BOD po d43 0 54 | 0 43.6 SOND ols DSi geet? 0

55 | 0 42.0 8660 | 241 | 1.2 0 56 | 0 40.5 1396) Da) |ssedeD 0 57 | 0 39.0 7639 | 264] 1.2 0 58 | 0 37.5 7155+ DB7Gs|.2 122 0 59 | 0 36.0 GOL te B8Se is v1 ge 0

60 | 0 34.6 Glas SOL. tee 0 61 | 0 33.3 5816 | 315] 1.1 0 62 | 0 31.9 5405 | 328] 1.1 0 63 | 0 30.6 5009 | 343] 1.1 0 64 | 0 29.3 4632 | 358 | 1.1 0 65 | 0 28.0 4272 | B74. | 151 0

90°

Zz

er (ore a a

oo 175814 145718 128120 115642

0! « 0| 0 0| 0 0| O tl ald

105970 98077 91411 85644 80567

F520 2120 Sol al 4g 5| 0

76033 71940 68212 64791 61632

7 loa 8! 0 10! 0 11] 0 18.1.0

58700 55966 53406 51002 48736

15 | 0 eee 19| O 22 | 0 24} 0

46595 44567 42642 40812 39069

a7 30 | 0 33 | 0 36] 0 39 | O

37405 35816 34295 32839 31443

43 | 0 46 | 0 50 | O 54 | 0 58 | O

30103 28816 27579 26389 25244

62 | 0 67 | 0 72 \ aG 76 | O 81} 0

24141

S740

23078 9251.0

22054 98 | 0

21066 | 103] O

20113 | 110] 0

19193 | 116|/ 0 18306 | 122] 0 17449 | 129] O 16622 | 136] 0 15823 | 1431 0

15051 | 151! O 14307 | 158] 0 13587 | 166| 0 12893 | 174] 0 12222 | 183] 0

11575} 19230 10950 | 201 | oO 10347). 2117) 20 9765 | 221] O 9204 | 231] 0

8664 | 2411 O 8143 | 252] 0 7641 | 264! 0 7158 | 276] 0 6693 | 288] 0O

6247 | 301! 0 5818 | 314] 0 5407 | 328] 0 5012 | 343] O 4634 | 358] 0 4272 | 374| 0

#° «| ie
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Al 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65

TasBLeE I]—d+b

49

0°

h, 0°

u

B

“(tae pa 1 |353627 2 | 323524 3 | 305915
' 4 | 293421

“5 |283730 6 | 275812 7 | 269118 8 |263318 9 |258203

10 |253627 11 |249488 12 |245709 13 |242233 14 | 239015

15 |236018 16 | 233216 17 |230583 18 |228100 19° 225752

20 | 223525 21 | 221406 22 |219385 23 |217455 24 | 215607

25 |213834 26 |212130 27 |210491 28 |208912 29° 207388

30 |205916 31 |204492 382 |203113 33 |201777 34 200480

35 | 199221 36 | 197998 37 | 196808 88 | 195650 39° 194522

40 | 193422 41 | 192350 42 | 191304 43 | 190282 44 189283

45 | 188307 46 | 187353 AT | 186419 48 |185505 49° 184609

50 | 183732 51 | 182872 52 | 182029

53 | 181202 54 180390

55 | 179593 56 |178811 57 | 178042 58 | 177287 59 | 176544 60 |175814

179°

me
h, i
B
175814 175097 174391 173696 173012
172339 171676 171023 170379 169745
169121 168505 167897 167298 166708
166125 165550 164982 164422 163869
163322 162783 162250 161724 161204
160690 160182 159680 159184 158693
158208 157728 157254 156784 156320
155861 155406 154956 154511 154070
153634 153201 152774. 152350 151931
151515 151104 150696 150292 149892
149496 149103 148713 148327 147945
147566 147190 146817 146448 146081 145718
178°

9°

8°

4°

h,

ide

h,

VEY

ie

Figs

72)

87°

ae

86°

4°

85°

B

D

B

D

B

D

145718 | 1457 |128120 145358 | 1453 1127880 | 1278} 145001 | 1450 | 127641 | 1276} 144646 | 1446 | 127403 | 1273] 144295 | 1443 |127166 | 1271}

115642 |1155) 115461 | 1154] 115282 | 1152 115103 | 1150} 114925/|1148)

143946 | 1439 |126931 | 1269 |114748 143600 | 1436 | 126697 | 1266 | 114571 143257 | 1482 | 126465 | 1264 4 114395 142916 | 1429 | 126233 | 1262 | 114220 142579 | 14254 126003 | 1259} 114045

1422483 | 1422 | 125774 | 12574 113872 141911 | 1419 |125546 | 1255 | 1138699 141581 | 1415 | 125320 | 1253 § 113526 141253 | 1412 |125094 | 12504 113355 140928 | 1409 } 124870 | 1248 | 113184

140605 | 1406 § 124647 | 1246] 113013 140285 | 1403 | 124425 | 1244 | 112844 139967 , 1399 | 124205 , 1241 | 112675 139651 | 1396 § 123985 | 1239 | 112506 139338 | 1393 | 123766 | 1237 | 112339

139027 | 1390 § 123549 | 1235) 112171 138718 | 1387 } 123333 | 1233 |112005 138411 | 1384] 123117 | 1230} 111839 138106 | 1381 | 122903 | 1228 |111674 137804 | 1378 | 122690 | 1226 § 111510

137503 | 1375 | 122478 | 12241111346 137205 | 1372 | 122267 | 12227111183 136909 | 1369 # 122057 | 1220} 111020 136615 | 1366 | 121848 | 12187 110858 136322 | 1363 | 121640 | 1216} 110696

136032 | 1360 f 121482 | 1214] 110536 135744 | 1357 | 121226 | 1211} 1103875 135457 | 1354 § 121021 | 12091 110216 135173 | 1351 | 120817 | 1207 § 110057 134890 | 1348 } 120614 | 1205} 109898

134609 | 1346 | 120412 | 1203 | 109740 134330 | 1343 |120211 | 1201 |109583 134053 | 1340 | 120010 | 1199 | 109426 133777 | 1337 |119811 | 1197 |109270 133503 |.1335 7119612 |1195) 109115

133231 | 1832 |119415 | 1193 | 108960 132961 | 1329 |119218 | 1191 |108805 132692 | 1326 | 119022 | 1189 } 108651 132425 | 1324 | 118827 | 1187} 108498 132159 | 1821 } 118633 | 1185 ] 108345

131896 | 1318 } 118440 131633 | 1316 | 118248 131373 | 1313 |118056 131114 | 1311] 117866 130856 | 1308 | 117676

108193 108041 107890 107739 107589

130600 | 1305 | 117487 130346 | 1303 |117299 130093 | 1300 } 117112

107439 107290 107141

129841 | 1298 } 116925

129591

116739

106993 106846

129342

116554 | 1165 | 106699

129095 | 1290 j 116370 | 1163 | 106552

128849 | 1288 |116187 | 1161 | 106406

128605 | 1285 |116004 | 1159 |106260

128362

115823

106115

128120

115642

105970

175°

, 1.0] 60 1.0] 59 1.0] 58 1.0 | 57
.9]| 56 9 9 9 9 9 8 38 8 38 8 ae) aif aif oof ath
36

The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

Explana- |
lion
of the
Construction and Use of Tables
eCet e

50

.

Taste II—d+6b .

5°

he
5°

,

B

0 | 105970
1 | 105826 2 | 105683 3 | 105539 4 | 105397
5 | 105254 6 | 105113 7 | 104971 8 | 104830 _9 | 104690
10 | 104550 11 | 104411 12 | 104272
3 | 1064133 14| 108995
15 | 103857 16 | 103720 17 | 103583 18 | 103447 19 | 103311
20 | 103175 21 | 103040 22 | 102905 23 | 102771 24 | 102637
25 | 102504 26 | 102371 27 | 102238 28 | 102106 29 | 101974
30 | 101843 31 | 101712 32 | 101581 33 | 101451 34 | 101321
35 | 101192 36 | 101063 37 | 100934 38 | 100806 39 | 100678
40 | 100550 41 | 100423 42 | 100296 43 | 100170 44 | 100044
45 | 99918 46 | 99793 47 | 99668 48 | 99544 Ao oot
50 | 99296 51 99172 52 | 99049 53 | 98926 54 | 98804
55 | 98682 56 | 98560 57 | 98439 58 | 98318 59 | 98197 60 | 98077
174°

a7,
0! 60 .0| 59 .0| 58 .0 | 57 .9| 56
.9| 55 .9| 54 9153 .9| 52 .9| 51
.8| 50 .8| 49 .8| 48
8 | 47 .8 | 46
.8| 45 .7| 44 ae aes af |42 7 |41
.7| 40 .7 | 39 .6| 38 .6 | 37 -6 | 36
6] 35 .6 | 34 .6 |33 55M) 274 5 |31
.5| 30 -5 |29 20 [h28 Bw 74 4] 26
4) 25 4) 24 4] 23 A |22 4| 21
io | 20 .3| 19 .3| 18 Bo 7 .3 |16
3 (ele 2/14 2 eS PM fa2i 2} 41
2/10 .2 veo Ls Le - i 16
a IB es i) ol ie LO} ea 0) eat 0! 0

The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

10°

ray

1i0n2 BAilya79ae |

Raga p(s 8

40231 |||||7777755556978806491317093 |||||777775555511234 |||||7777711111698878471410506

_78569|||||7777755555346569673034645 |||||777774445498907 |||||7777711111546432518532689

[| 7711223915

12 | 75182 | 745 | 71167

13 | 75112 | 744 | 71104 14 | 75042 | 743 § 71040
|| 7700991736

17 | 74832 | 741 | 70850

18 | 74763 | 741 | 70786

19 | 74693 | 740 | 70723

20 | 74624 | 739 | 70660

21 | 74555 | 738 | 70597

22 | 74486 | 738 | 70534

23 | 74417 | 737 | 70471 24 | 74348 | 736 | 70409
70346 | 70284 | 70221 | 70159

29 | 74005 | 733 § 70097

30 | 73937 | 732 | 70034

31 | 73869 | 731 | 69972 32 | 73801 | 731 1 69910

33 | 73733 | 730 | 69849

34 | 738665 | 729 | 69787

35 | 738597 | 729 | 69725 69664

38 |73395 | 726 || 6699564012 39 |73328 |726 |69479 40 |"73261 | 725 | 69418 41 |73194 | 724 | 69357 42 |73127 |724 | 69296 43 |73060 | 723 | 69235 44 | 72993 | 722 | 69174 4456 ||7722896207 ||772212 || 6699101533 47 |72794 |720 | 68992 48 |72727 | 720 | 68932 49 |72661 |719 | 68871 50 |72595 | 718 | 68811 51 |72529 |717 | 68750 52 |72463 |717 | 68690 53 |72398 | 716 | 68630 54 | 72332 | 715 | 68570 5556 ||7722220616 ||771145 ||6688455110 57 |72136 |713 | 68391 5589 ||7722007005 ||771123 ||6688323712 60 |71940 | 711 | 68212

169°

16S°T

TaBLe Il—d+b

51

12° 1 E

| | |

6666678888901207951333524

||||| 6666677777779683918591687

| 6677652623

1 67505

| 67447

| 67388
| 6677323702

14°

ere es| AG

ps

Bic eDi bee

||| 6666611111655443388311220

| |||

6666611111332213827700999

61129 61079 61029
# 60979 | 60929

| 598 | 597 | 597
| 596 | 596

e1111o....90n0009999| 'eo8)8888

||||5655568097 5555512354
48 47 46

| 6600883709 || 559955 || ..78| 44

| 67214 67156
| 67098
f 67040 | 66982 y 66925 ) 66867 | 66810
| 66752 | 66695 | 66638
66580
523

f |

60780 60730

|;|

594 594

7rf 43
42

60681 | 593
60631 | 593 | 60582 | 592 | 60533 | 592 | 60483 | 591 f 60434 | 590

eet66776

nae
40 39 38 37 36

|||| 66660000233238388567
| 60189

|||| 555588899980
| 588

|_ .5| 56665

31

| 66466

f 60140 | 587 | .5| 30

t 66409

f 60091 | 587 | .5| 29

66353

f 60042 | 586 | .5| 28

5 66296

p 59994 | 586 | .5| 27

1 66239

59945 | 585 |_ .4| 26

66182 66126
|§ 6666001639

| 59897 | 59848
f|F 5599785010

| 585 | 584
|| 558834

4 | 4v.4i|

25
22

65957

59703 | 583 |_.42|1

|| 6655980404 || 664488 f46622665097 || 661144 f| 5599660564 ||558822 || ..33|| 2109

65788 | 647 |62555 |613 | 59558 |581 | .3| 18

| 65732 | 647 | 62503 | 612 | 59510 |581 | .3| 17

| 65676 | 646 | 62451 | 612 | 59462 | 580 |_.3| 16

|1 6655652604 ||664455 ||6622430408 || 661111 || 5599346164 ||558709 || .32|/1514

65509 | 644 |62297 | 610| 59318 |579 | .2| 13

| 65453 | 644 | 62245 | 610 | 59270 | 578 | .2| 12

65398 | 643 |62194 |609 | 59222 |578 |_.21|1

| 65342 | 642 | 62142 | 609 | 59175 |577 | .2| 10

| 65287 |642| 62091 | 608 |59127 |577 | .2| 9

| 65231 | 641 | 62040 | 608 | 59079 |576 | .1| 8

65176 | 641 |61989 | 607 | 59032 |576 | .1| 7

| 65121 |640 | 61938 | 606 | 58984 | 575 |_.1|6

|| 6655001616 ||664309 ||6611888376 ||6 6060|| 55588983879 ||557744] | ..11|| 54

64956 | 638 | 61785 | 605 | 58842 |573 | .1] 3

| 6644980416 ||663378 || 6611768334 ||660044 ||5588774985 ||557732 || ..00|| 21

64791 | 637 | 61632 | 603 | 58700 |572 | .0! O

Ole LIST Gal 166° Rs 216s?

The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the merid-
ian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

be
a | Construction and Use of Tables
seoaed

TasiLe IIl—d+b

16°

he
16°

VA
mee

D

B

D

55966 55922 55878 55834 55790

55747 55703 55659 55615 55572

55528 55484 55441 55398 55354

55311 55267 55224 p 55181 55138

55095 55052 55008 54965 54923

54880 54837 54794 54751 54708

; 54666 54623 54581

54538 54496

54453 54411
54368 | 54326
54284

54242 54199 54157 54115 54073

54031 53989 53947 53905 53864

53822 53780 53738 53697 53655

53614
53572 53531 53489 53448 53406

tyig

18°

h,
(are
B 53406 53365 53324 53283 53242 532003 53159 53118 53077 53036 52995 52955 52914 52873 52832 52791 52751 52710 52670 52629 52589 52548 52508 52467 52427 52387 52346 52306 52266 52226

Ada

h,

get

h,

Vib

72°

18°

Liei

19°

70°

D

B

51002 50963 50924 50885 50847

f 50808 50769 50731 50692 50653

50615

48371

50576 | 484 | 48334 | 459

50538 | 483 | 48298 | 458

50500

48262 | 458

50461

48226 | 457

50423 | 482 | 48189 | 457 50385 | 481 | 48153 | 457 50346 | 481 | 48117 | 456 50308 | 481 | 48081 | 456 50270 | 480 | 48045

| 5500213924 50156
| 50118 50080
| 50042 50004 49966

49928 49890

52186

49852

52146

49815

52106

49777

52066 52026
51986 51946 51906

4499770329 4499666246 49589

51867

49551

51827

49514

51787

51748

51708

51668

51629

‘ee
60 59 58 57 56— 05 54 | 53 50 49 48 47 46 45 44° 43 42 Al
3398 66 ||3367 6 |3345
33
26 2245 23
ekicgharelle

The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

Taste I]—d+b

20°

21°

22°

24°

ine

Lite

h,

20° | 69° |21°

rae B

D

B

O | 46595 | 439 | 44567

1 | 46560 | 439 | 44534

2 | 46525 | 438 | 44501

3 | 46491. | 4388 | 44468

ae 46456 | 487 | 44486

h,

Bee

Zeer wGie

B Dy

42642 42611 42580 42549 42518

| 394 | 393 | 393

(aaa =

Lig
nGeia) rowel |2 7
351 | 1.0} 60 351 | 1.0| 59 351 | 1.0} 58 350 | 1.0| 57 350 -9| 56

5 | 46422 6 | 46387 7 | 46353 - 8 | 46318 cual 46284

| 437 | 437 | 436 | 486 | 4385

| 44403 | 44370 | 44337 | 44305 | 44272

42486 42455 42424 42393 42362

350 .9| 55 349 9 | 54 349 91] 53 349 9 | 52 348 -9| 51

10 | 46249 | 485 | 44239 11 | 46215 | 435 | 44207 12 | 46181 | 434 | 44174 13 | 46146 | 484 | 44142 14 | 46112 | 433 | 44109

42331 42300 42269 42238 42207

348 .8| 50 348 .8| 49 347 8 | 48 347 -8| 47 347 .8 |46

15 | 46078 16 | 46043 17 | 46009 18 | 45975 19 | 45941

| 433 | 483 ; 482 | 432 | 432

| 44077 7 44044 } 44012 | 43979 | 48947

42176 42145 42115 42084 42053

346 -8| 45 346 .7| 44 346 .7 |43 345 .7 | 42 345 7 |41

20 | 45907 21 | 45873 22 | 45839 23 | 45805 24 | 45771

| 431 | 438915 | 431 | 48882 | 480 | 438850 | 430 | 43818 | 4380 | 48785

42022 41992 41961 41930 41899

345 .7 |40 344 .7 | 39 344 .6| 38 344 6 |37 343 -6 |36

25 | 45737 26 | 45703 27 | 45669 28 | 45635 29 45601

| 429 | 429 | 428 | 428 | 428

| 438753 } 43721 {| 43689 | 48657 | 43625

41869 41838 41808 AI777 41747

343 .6| 35 343 -6 | 34 342 -6 |33 342 -) |32 342 5 |31

30 | 45567 31 | 45534 32 | 45500 33 | 45466 34 | 45433

| 427 | 427 | 426 | 426 | 426

| 43592 | 48560 | 43528 | 43496 | 48464

| 404 | 404 | 403 | 403

41716 | 41686 | 41655 [ 41625 | 41594

| 383 | 382 | 382 | 382 | 381

| 399380 | 39901 | 39872 | 39843 | 39814

| 362 | 361 | 361 | 361 | 360

| 38227 | 38200 | 38172 4 38144 | 38117

| 341 | 341 | 341 | 340 | 340

.0 | 80 .0 | 29 .o | 28 32) ||ZU 4 |26

35 | 45399 36 | 45365
37 | 45332 88 | 45298 39 | 45265

| 425 | 425
| 425 | 424 | 424

| 48432 } 438401
| 43369 # 43337 § 43305

| 403 | 402
| 402 | 402 | 401

| 41564 | 41533
f 41503 § 41473 4 41443

| 381 | 381
| 380 | 380 | 380

} 39785 | 39756
| 39727 § 39698 | 39669

| 360 | 360
| 359 | 359 | 359

| 38089 § 38061
§ 38034 | 38006 4 37979

| 340 | 339
| 339 | 339 | 338

4) 25 4| 24
4] 23 A| 22 sg) 24!

40 | 45231 41 | 45198 42 | 45164 43 | 45131 44 | 45097

| 423 | 423 | 423 | 422 | 422

| 438273 | 43241 |]43210 | 43178 | 48146

| 401 | 401 | 400 | 400 | 399

# 41412 | 41382 | 41352 | 41322 | 41291

| 379 | 379 | 379 | 378 | 378

| 39641 | 39612 | 39583 | 39554 | 39526

| 358 | 358 | 358 | 357 | 357

4} 37951 | 37924 | 37896 | 37869 | 37841

| 338 | 338 | 337 | 337 | 337

.d |20 .d| 19 .3| 18 coi leds 3 |16

45 | 45064 46 | 45031 47 | 44997 48 | 44964 49 | 44931

| 422 | 421 | 421 | 420 | 420

| 43114 | 43083 | 43051 | 43020 | 42988

| 399 | 399 | 398 | 398 | 398

| 41261 | 41231 | 41201 | 41171 {| 41141

| 377 | 377 | 377 | 376 | 376

| 39497 | 39468 | 39439 } 39411 } 393882

| 357 | 356 | 356 | 356 | 355

| 37814 | 37786 | 37759 | 37732 | 37704

| 336 | 336 | 336 | 335 | 335

.3| 15 2/14 |: .2| 13 2| 12 2 |11

50 | 44898 51 | 44864 52 | 44831 53 | 44798
54 | 44765

| 420 | 419 | 419 | 418
| 418

| 42956 # 42925 | 42893 | 42862
§ 42831

| 397 | 397 | 397 | 396
| 396

| 41111 | 41081 | 41051 | 41021
| 40991

| 376 | 375 | 375 | 375
| 374

| 39354 | 39325 | 39296 | 39268
| 39239

| 355 | 354 | 354 | 354
| 353

| 37677 | 37650 | 37623 | 37595
| 37568

| 335 | 334 | 334 | 334
| 333

-2| 10 | .2] 9 | .1| 8
Sad
sf 6

55 | 44732 56 | 44699 57 | 44666 58 | 44633 59 | 44600
-44567

| 418 | 417 | 417 | 417 | 416 | 416

| 42799 | 42768 § 42736 § 42705 | 42674 | 42642

| 395 | 395 | 395 | 394 | 394 | 394

| 40961 § 40931 | 40902 | 40872 | 40842 | 40812

| 374 | 39211 | 374 | 39182 | 3738 | 39154 | 373 | 39125 | 373 | 39097 | 372 | 39069

| 353 | 353 | 352 | 352 | 352 | 351

| 37541 | 37514 | 37487 | 37459 | 37432 | 37405

| 333 | 333 | 332 | 332 | 33 | 331

| .1| 5 SL es Les 0} 2 SOM eck 0! 0

159°

158°

157°

156°

155°.

The azimuth is reckoned from the north when in north latitude, from the south
when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

j
|
of the
Construc- | tion and Use of Tables
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Taste II]—d+0b6

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35816 35790 35764 35738 35712
35687 35661 35635 35609 39583
35558 35532 35506 35481 35455

fi

35047

35022

34997

34971

34946

34921 34896 34870 34845

33438 33414 33390 33366

34820

f 33342

34795 34770

33318 1 33294

| 31879

34745

33269

f 31856

34719 | 34694

33245 33221

31833 | 31810

34669

33197

31787

| 34644

) 33173

31763

34619

| 33149

31740

| 30389

| 34594 34569

33125 | 33101

31717 f 31695

30367 30345

34544 f 34519
| 3344446994 134444

| 33078 | 33054
| 3333000360 | 32982

31672
31649 31626 F 31603 31580

30323 30301 30279 30257 30235

57 | 35894 58 | 35868 59 | 35842 60 | 35816

34420

32958

34395

32934

34370

32910

§ 34345

| 32887

F 34320

32863

34295 | 293 32839

31557 31534 31511 31488 31466 31443

30213 30191 30169 | 30147 30125 30103

LhbtbtR[DOeeuorRAwiDoE|lOndmtv]iOosOdvmEiOoUx vHiow YvEiDaN

154°

153°

152°

151°

150°

The azimuth is reckoned from the north when in north latitude, from the south
when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name oi the declination.

‘TasLe I]—d+6

55

30°_| 59°

Reeere wD. |

:

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|:|:

1111112304|||||2222299999888874628913058 ||||222233336555 ||||| 2222288888555652840636745

|| 27: : :

1111186795 |||||2222299999777767531965320 |||||222223333333444 ||||| 2222288888454448604111209

| ! |

2222220413, |||||2222299999665666084227584 |||||222223333323222 ||||| 2222288888333339317586587

| |

2“226227589 |||||2222299999555446319719865

|||||222223333311100

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| 214

| | |

3333310234 |||||2222290999443433581623907 |||||222223322200999 ||||| 2222288888111119750311090

|

3333376589 ||||| 2222209999332324082632651 |||||222222222288878 ||||| 2222288888000006842089876

| !

4444430214 |||||2222299999221111397589764 |||||222222222276676 ||||| 2222277777999992648056564

| 2

4444478569 |||||2222299999110009316413298 |||||222222222265554 |||||.2222277777888884628033342

5555510324 |||||2222209888000992086476524 |||||222222222234434 ||||| 2222277777777770842611122 | 206

||: 26

5555556978 |||||222222888888998888207531109876 |||||222222222232222 |||||| 222222777777665665647819009099 |204 |

148° |

:

Fas

Aa Corr.

34° | 55°

a

Bea

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|| 2266338790

2255224245 |[117711 || 11..00|} 6509

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| 2266221354

| 2255007964 ||116699 | .|_9.|9| 5512

||| 222666111975567

|[| 222555000532790 |||111666888 ||| ...888||| 445908

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1|| 222444989902097 |||111666666 || ..|_77.||7| 444123

| 26003

| 24872 | 166 | .7| 40

98 ||| 222555999864345 | 18 ||| 222444888513365 |||111666555 ||| ...667||| 333978

| 25926

| 24798 | 164 |_.6| 36

197197 || 2255980877

1|2244776719 ||116644 || ..66|| 3345

||| 222555888364089

||1222444777240426 |||111666334 || ..|_56.|5|| 333123

|t 2255871912

| 2244668679 ||116633 || ..55|| 2390

95 ||| 222555777735354

||| 222444666531024 |||111666222 || ..|_55.|4|| 222678

1 25716

124505 | 162 | .4| 25

194 |||| 22225555666679458790

|||122224444555525472197 ||||111166660111) ||| ....4444|||| 22221234

|| 2255662012

|| 2244458064 ||116600 || ..334| 2109

||| 222555555846354

||| 222444444364179 |||111655909 || |.._33.3]|| 111678

|1 2255552067

|| 2244431935 ||115599 || ..32/| 1154

||| 222555444568198

||| 222444333754680 |||111555888}} |.._22.2||| 111123

0 || 2255443123

|| 2244332024 ||115577] | ..22|] 109

9 ||| 222555333705564 | 173 [|| 222444222846697 |||111555776]] 1.|_1.]|1| 876

|| 2255333189 | 172 [| 2244223113 ||115566 || ..11/]| 54

|||| 22225555223284061043

|1|/ 22224444111154979157 |||111555556]]] .0..010!|}| 0321

The azimuth is reckoned from the north when in north latitude, from the south

when in south latitude, toward the east when body is rising or is east of the merid-

ian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

201432 °—40.

5

56

TasLe II—d+06

3h6e2 hass ue Pehseze 2°

5 Oe SE

2222233333000006742013869 |||||111113333398888||||| 2222221222090005832077403

| 2222222222999999753214792 |||||111113333377677||||| 2222211111999993570273030

2222222222898888075380356 |||||111113333355666 |||||2222211111888885328737070

2222222222877780568110749 |||||111113333354444 |||||2222211111877770378537074

2222222222676768163915482 |||||111113333333233 |||||2222211111676677285017044

2222222222566659134735078 |||||111113333312221 ||||| 2222211111655662870318258

2222222222555456419210437 |||||111113333300011||||| 2222211111455559253002596

2222222222444445427092568 |||||111112222298999|||||2222211111444447542037048

44

| | | |

2222222222333339425710374

||||| 111112222278887 ||||| 2222211111333339275416582

| |

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|||||111112222277666

||||| 2222211111222236974013749

|1| 2222222222112127508214852 |||||111112222255546|||||2222211111221116127932895

| | |

222222222222010110275308104847

||||||111111222222333444

|||||| 222222111111011001361849162748

143°

142°

141°

he
oooo SwCaeevaer
HSb bwwbEewwCvsHYOa EOaRhHuEce

The azimuth is reckoned from the north when in north latitude, from the south
when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

TasLe II—d+b

7h

44°

VAs
45°

D

/

15 | 1.0| 60

111545 ||| 111...000]]| 555978

14 |_.9| 56

1144] | ..99|| 5554

13 | .9| 53

13 | .9| 52

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13 | .8| 50

12 | .8| 49

(Bal ees is

12| .8| 47

12 | .8| 46

1111| | ..78|| 4445

ela eal as

1te0a || e.7|rg4a1

10 | .7| 40

10 | .7| 39

10 | .6| 38

9| .6| 37

9 | .6| 36

15498 | 9 | .6| 35

1/ 1155447825} | 98|| ..66|/ 3334

115460 | 8| .5| 32

| 15447 | 8 |25 |3

[1155442314] | 87)] ..55|/2390

1(1E5S4S0)8 ||| 7WO] .d5a| h2e8

| 15382 |__7 |_.4| 26

[15370 | 6) .4|25

15357 | 6 | .4| 24

} 15344] 6| .4| 23

15331 | 6| .4| 22

15318 |__5| .4| 21

115306 | 5{ .3| 20

||} 11552298003 || 55|] ..33| |1189

pL e||@ ACh ity

15255 | 4 | _.3| 16

15242 | 4) 3) 15

115229; 4| .2|14

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Pi1s5007674 ||? O“|tele20).|0| 212

15051! O| .0! 0

135°

The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

tion and Use of Tables
ab e

58

Taste Il—d+6

isQO
stoaeottiaoootbiaectlrixlinte

e0bpGoe ro9ees era
shCHGDH pOEeOH alRbHuHd The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

TasLe Ji—d+06

50°

51°

h,

Va

ne

V7

ROD Soo eed? 88°

hee B

D

B

D

O |} 11575 1 | 11564 2 | 11553 3 | 11543 fa 115382

|9924 4 10950 |99247 10940 |9923} 10929 |9923] 10919 |9923] 10909

|9908] | 9908] | 9908] |9908] |9907]

5 | 11522 6 | 11511 7 | 11501 8 | 11490 9 | 11479

|9923] |9922] | 9922) | 9922} | 9922}

10899 10888 10878 10868 10858

| 99074 | 9907} |9907] | 9906] | 9906}

10 | 11469 11 | 11458 12 | 11448 13 | 11437 des) 11427

| 9921] |9921} |9921] |9920] |9920}

10848 10838 10827 10817 10807

| 9906} | 9906] | 9905] | 9905] | 9905

15 | 11416 16 | 11406 17 | 11395 18 | 11385 19 | 11374

|9920] | 9920] ;9919] |9619] |9919]

10797 10787 10777 10767 10756

| 9904] | 99044 | 9904] | 9904] | 9903]

20 | 11364 21 | 11353 22 | 11343 23 | 11832 2a) 11322

|9919] 10746 |9918] 10736 |99184 10726 |9918 4 10716 |9918} 10706

9903} |9903} |99034 |9902} |9902}

25 | 11312 26 | 113801 27 | 11291 28 | 11280 29 11270

|9917} |99174 |9917 | 9917} |99164

10696 10686 10676 10666 10656

| 99027 | 99024 | 9901} | 99014 |9901}

30 | 11259 31 | 11249 32 | 11239 33 | 11228 34 11218

|9916] 10646 |9916, 10636 |99164 10625 |99155 10615 |9915 % 10605

|9901] |9900} |9900] |9900} |99007

35 | 11207 36 | 11197 37 | 11187 38 | 11176 39 } 11166

|9915f | 9915} |99144 | 9914} | 9914}

10595 10585 10575 10565 10555

|98991 | 9899 | 9899

40 | 11156 41 | 11145 42 | 11135 43 | 11125 cee 11114

|9914 % 10545 |9913 10535 |9913] 10525 |9913] 10515 |9913} 10505

|98984 | 9897 | 9897
|98974#

45 | 11104 |99124 46 | 11094 |9912% 47 | 11083 |9912! 48 | 11073 |991154 49 | 11063 |9911]

10496 | 9897 10486 | 9896 10476 | 9896 10466 |9896{ 10456 |98964

50 | 11052 51 | 11042 52 | 11032 53 | 11022 54 | 11011

|99114 |99114 |9910, |9910}
|9910

10446 10436 10426 10416 10406

| 9895 19895! 19895] |9895]
|9894

55 | 11001 |9910} 56 | 10991 199095 57 | 10980 |9909} 58 | 10970 |9909} 59 | 10960
10950

10396 10386 10376 10367 10357 10347

| 9894 | 9894 | 9894 | 9893

52°

h,

Zl |

|aa52° || ia7e

B

D

10347 10337 10327 10317 10307

| 9893 | 9893 | 9892 | 9892 | 9892

10298 10288 10278 10268 10258

| 98921 | 9891 | 9891 | 9891 | 9890

10248 | 9890 10239 | 9890 10229 |9890 10219 | 9889) 10209 9889

10199 10190 10180 10170 10160

| 9889} | 9889 | 9888 | | 9888 | 9888

10151 10141 10131 10121 10112

| 9888 | 9887 | 9887 | 9887 | 9887

10102 10092 10082 10073 10063

| 9886 | 9886 | 9886 | 98868 | 9885

10053 10044 10034 10024 10015

| 9885 | 9885 | 9884] | 9884} | 9884

10005 | 9884 9995 | 9883 | 9986 | 9883 9976 | 9883 9966 |

9957 9947 9937 9928 9918

| 9882 | 9882 | 9882 | 9881

9909 | 9881 9899 | 9881 9889 | 9881 9880 | 988so 9870 |9880

9861 9851 9841 9832 9822

| 9886 | 9879 | 9879 | 9879 | 9879

9813

59
be
i
60 59 58 7 d 56
55 .9| 54 9} 53 .9| 52 9 51
.8 | 50 .8 | 49 .8 | 48 .8| 47 .8 | 46
.8 | 45 0 | 44 .7| 43 .1 | 42 aif Al
EAITAG .1| 39 6 | 38 .6 | 37 .6 36
6 | 35 6 | 34 -6 | 33 of) | BX a 31
5 | 30 0 | 29 aby |)PAS 55) | ef 41] 26
FAN .4| 24 4 23 4] 22 4 21
3 | 20 3 | 19 4) |]fs) onl uleds eed 16
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The azimuth is reckoned from the north when in north latitude, from the south
when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

|
:
of the |
|| Constrac-
tion and Use of Tables —
os
re!

60

TasLe Il—d+b

57°
yBe a ” 57° | 32° D 9813 9812 9812
9812 9811
9811 9811 9811 9810 9810
9810

he
58°
B
7158 7150 | 7142 | 7134 7126
| 7119 § § | |
|

cr ag
acihBeees pa
The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

TasLe Il—d+6

61
o—a— on=r)
Oo OOOOO OOOO
te QO
seseseses

boa)

osI a epearoMce a wtlieeoe entn|geaetttcesO©mWO enbHsU ouI .2| 10 219 SI Rs) So of oly S155 oh 04 i Ie: Choe (0) a 0! 0
The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

62

65°

he.

VA

65°

24°

,

B

D

0 | 4272 | 9669 1 | 4267 | 9668 2 | 4261 | 9668

3 | 4255 | 9668 LD 4249 | 9667

5 | 4243 | 9667 6 | 4237 | 9667
7 | 4231 | 9666 8 | 4225 | 9666 9 | 4220 | 9666

10 | 4214 | 9665 11 | 4208 | 9665 12 | 4202 | 9665 13 | 4196 | 9664 14 | 4190 | 9664

15 | 4185 16 | 4179 17 | 4173 18 | 4167 19 | 4161

| 9664 | 9663 | 9663 | 9663 | 9662

20 | 4156 | 9662

21 | 4150 | 9662 22 | 4144 | 9661 23 | 4138 | 9661 24 | 4132 | 9661

25 | 4127 | 9660 26 | 4121 | 9660 27 | 4115 | 9660 28 | 4109 | 9659 29 | 4103 | 9659

30. | 4098 | 9659 31 | 4092 | 9658 | 32 | 4086 | 9658 33 | 4080 | 9658 34 | 4075 | 9657

35 | 4069 36 | 4063 37 | 4058 38 | 4052 39 | 4046

| 9657 | 9657 | 9656 | 9656 | 9656

40 | 4040 | 9655

Al | 4035 | 9655 42 | 4029 | 9655 43 | 4023 | 9654

44 | 4018 | 9654

45 | 4012 | 9654

46 | 4006 | 9653 47 | 4000 | 9653 48 | 3995 | 9653 49 | 3989 | 9652

50 | 3983 | 9652 51 | 3978 | 9652 52 | 3972 | 9651 53 | 3966 | 9651 54 | 3961 | 9651

55 | 3955 | 9650 56 | 3950 | 9650 57 | 3944 | 9650 58 | 3938 | 9649 59 | 3933
3927

TasiLe I]—d+b6

ina
.0 | 60 .0| 59 .0| 58 .0| 57 .9| 56
9} 55 9 | 54 9 | 53 .9| 52 9 |51
.8 | 50 .8| 49 .8| 48 .8| 47 -8 |46
45 44 43 42 Al
40 39 38 37 |36
35 34 33 32 31
5 | 30 5 | 29 5] 28 5 |27 4 |26
425 4} 24 4) 24 4.| 22 A |21
13 | 20 .3| 19 .3o| 18 Be fl7 -3 |16
1a | LS .2| 14 2.) a 2) 12 2 |0
2110 Lo er) ck | me 1} 6
Py | 4 eei 10) #2 | Se .0! 0

The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

Tastr Il—d+b

63

cemc| ooror=|~]r1or>

Explanation / of the .
Construc- | tion and Use of Tables

ELuESwo¢t bEeuobbiEvEel

The azimuth is reckoned from the north when in north latitude, from the south

when in south latitude, toward the east when body is rising or is east of the merid-

ian, toward the west when body is setting or is west of the meridian. In zero

:tSOemyeveSTSSeNeCeS eDn™

latitude the azimuth takes the name of the declination.

4

64

Tasie IIl—d+b

io.

76°

Th:

h, VAM he VSide he Z'’

Se,75°

1D4e°

7B6o°

13e”e. BedBee

12°

c3201s|1506

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1111112034

99999333339989911900 ||||| 11111000009999896307 |||||99999333335555587665

1111157689 |

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2222256789°

99999333338888811332 |||||11111000005544563750 |||||99999333334444498876

3333301234

99999333338877709089 |||||11111000004333321396 |||||99999333334444465534

3333356798

99999333337777787566 |||||11111000002222158027 |||||99999333334444413220

4444410234.

99999333337777753434 |||||11111000001100014963 |||||99999333333343399708

4444456789

99999333337777721100 |||||00001999909998028059 |||||99999333333333376554

5555510234.

99999333336666699877 |||||00000999998887717468 |||||99999333333333332124

555655576980

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7 90000 |||||5556597086
5555515324 4454498706 8‘.7777 |||||4444414532 7.6667| ||||3433360987 ~.66556 |||||3333315234 55554| ||||3222209876 44|/2222251432 33333||/||1121176098 .2.2322]||| )11111425 7 t1L2211A0}||]| eea610892|e 00|! 01

The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

Taste II—d+b

o~ rHo|
—— |

————

|co<motcren

65
onfore) LSKl Syeore)
On _
Geoeleeeecs

of the | Constraction and
_ —
Use of Tables
eS leaeeR eeaA t letcG S se
The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. Im zero latitude the azimuth takes the name of the declination.
a i

TaBiLe II]—d+b

$$$ _ J quoi

|

gCerOro1e1 $$ | —_——_]—

<I oov=)

NRN R N EPOIEPNNDN ERWN EWD WWiWWW
te
bo _ o
Coocoocoqooeo“e oSce ooec
If d+b exceeds 90°, prefix (—) to Z’’. The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination.

EXPLANATION OF THE CONSTRUCTION AND USE OF THE TABLES

DEVELOPMENT OF THE FORMULAS

Let us consider the astronomical triangle MPZ (fig. 1)

projected upon the plane of the celestial horizon.

Where P is the elevated pole,

Z is the observer’s zenith, and

M is any celestial body.

Then the side PZ is equal to the colatitude;

the side PM is equal to the codeclination;

the side ZM is equal to the coaltitude;

the angle at P is equal to the local hour angle, and

the angle at Z is equal to the azimuth of the

heavenly body.

CN_o.Lat.

Now, let fall a perpendicular ZD from the observer’s

zenith upon the circle of declination. Call this perpendic-

ular a. This will divide the astronomical triangle into two right spherical tri-

angles and the side PM into two parts which we shall call b and B respectively.

It will also divide the azimuth into two angles Z’ and Z’’.

In the upper or “time triangle” (Napier’s rules)

Sinvad—COsPiaisinvi mia wae aoe oe ee ee Se

(1)

Marie = CO bsla: COS" aa sa ow oatap hate esters fa ee cece ae (2)

CG Zi itn ai Gea a

at

oe

(3)

In the lower or ‘‘altitude triangle’’—

Sint 0) — COSI COSu baw

eae ea ne oe ae a ae eee (4)

CoteZ/ Seine: COW Bessa

ee Booed oe eee ae see ee (5)

Now, since B is equal to (90°—d) minus b=90— (d+), equaticns (4) and (8)

become

Binh — Cosraysime(GoD) a ee oe eee asec eee ae (6)

cot 7/= sin astans (ds) es ee eee ea ee eae (7)

Inverting equations (6) and (7) they become—

cosee ;— sec a-cosee (da-U) eos. Je aL eee (8)

tan 7 —ICosec acon (G20) ae ee

ee eet eee (9)

It is apparent that Z’ plus Z’’ is equal to Z, the body’s azimuth. This azimuth

is always reckoned from the elevated pole east or west from 0° to 180° and

marked in the conventional manner depending on the sign of the latitude and

whether the body is rising or setting; i. e., east or west of the meridian.

CONSTRUCTION OF THE TABLES

Explana3 Hon
of the |
Construc-

Table I.—For every degree of latitude from 0° to 65°, and for every degree of local hour angle from 1° to 90° there is tabluated four columns headed b, A, C, and Z’.
Column b is the value of the side 6 (fig. 1) in degrees, minutes, and tenths.
It is found from equation (2). Column A is the log secant of side a (fig. 1) multiplied by 10° power. The
value of a is found from equation (1). Column C is the log cosecant of side a, to three places and multiplied by 10°
power. It, too, is found from equation (1). Column Z’ is the value of the angle Z’ (fig. 1) to degrees and tenths. It is
found from equation (8).
67

tion and Use of Tables
;
nES e TS Yee e
| |

68

USE OF THE TABLES

* Table II Observe, now, equations (8) and (9). Table I gives us secant a (column A) and cosecant a (column C). All that is necessary to obtain the values of h, and Z’’ is to get the cosecant and cotangent of (d+6). This value of (d+b)
is the basis of Table II. It is obtained by finding the algebraic sum of d (the declination) and b (the value found in the first column of Table I).
Table II, then, is merely a log cosecant and cotangent table of angles from 0° to 90° and given for every minute. It contains two columns, B and D.
Column B is the log cosecant of these angles multiplied by 10° power. Column D is the log cotangent of these same angles to three places and multiplied by 10? power. Adding the value of B, taken from Table II, to the value of A, taken from Table I, gives us the log cosecant h,. (See equation 8). Now, since the first column (B) of Table II is already a log cosecant column, the value cf h,° (the computed altitude) may be found at the top of this column corresponding to its log. The minutes are found to the left of the table. Similarly, adding the value of D, Table II, to the value of C, taken from Table I, gives us the log tangent of Z’’. (See equation 9.) Now, since the second column (D) of Table II is a log cotangent column, and we are dealing with the log tangent Z’’, it is but necessary to find this value of the log tangent in column D and the complement is the value of Z’’. This value of Z’’ may be found at the top of the column containing its corresponding log. The tenths of a degree are found to the right of the table. For simplicity and space, Table I is carried only to 90°. For values over 90°, subtract angle from 180° and enter tables with supplement.

GRAPHIC ILLUSTRATION OF SOLUTION
In equation (8) Cosec h=sec a cosec (d+b). (9) Tan Z’’=cosec a cot (d+b).
Let A=log sec a. C=log cosec a. B=log cosec (d+). D=log cot (d+b). b=natural value of side b in degrees and minutes. d=declination of body.
Then use the following arrangement for quick solutions:

with ‘Enter Table I.

Equation 8 | Equation 9

d (from Nautical Almanac)

be (Grom ‘Table )) 222s5_ A (Table I) | C (Table I)

d+b6 (algebraic sum) ___-- B (Table II) | D (Table IT)

Ae (table BD 023a3a A+B

Ca Dis=k2

Z’ (Table I)

Z’’ Table IT)

Z= Algebraic

sum

‘

EXPLANATION IN DETAIL
1. G. A. T. is found from midnight in the usual manner. From this the G. H. A. is computed as follows: for the sun,
G. H. A.=G. C. T.—1254E+q. of T. For star, planet, or moon,
G. H. A.=G. 8. T.—R. A. (Add 24 to the G.'S. T. if necessary to perform this subtraction).
2. Convert the G: H. A. to degrees (see short method p. IV). 3. Apply an assumed longitude [minus (—) if west, and plus (+) if east] such that the resultant local hour angle will be an integral degree. If west longitude, subtract the smaller from the larger.

PROBLEMS

69

4. With the hour angle (f) and an assumed latitude (use D. R. latitude to

nearest degree), enter Table I and pick out quantities b, A, C, Z’.

5. Add algebraically to b the declination obtained from the Nautical Almanac;

that is, add if the signs are alike, subtract the smaller from the larger if unlike.

6. With the quantity of d-++b thus obtained, enter Table II and pick out quantities Band D. Add B to A and D to C.

7. With A+B enter column B of this same table (Table II) and find the

corresponding number. The heading at the top of the column will give the value

of h, in degrees; the minutes will be found in the extreme left column.

8. With C+D enter column D of the same table (Table II) and find the corre-

sponding number. The number at the top of this column will give the value of

Z’’ in degrees; the tenths of a degree will be found in the extreme right column. 9. Add the Z’’ to Z’ previously obtained from Table I to get the azimuth.

This azimuth is always reckoned from the elevated pole and is marked in the

conventional manner, i. e., north when in north latitude, south when in south

latitude, east when east of the observer’s meridian, west when west of the observer’s meridian.

10. The local hour angle (L. H. A.) is reckoned from the upper branch of the

meridian westward through 360°.

' 11. When the lecal hour angie or its explement (360°—L. H. A.) is less than

90°, give 6 the same name as that of the iatitude (+) if north, (—) if south. This is called Case I.

12. When the local hour angle is between 90° and 270°, give b the opposite

name to the latitude. This is the Case II exemplified in the problems that follow. Tn it the azimuth is always obtained by subtraction.

When in latitude 0° give 6 the same name as the declination and the azimuth

takes the name of the declination.

; ;

NOTES ON SOLUTIONS

13. It will be noted that in Table [, ¢ is used only to 90° (six hours). The

manner in which the local hour angle is handled to accomplish this iis simple and

uniform in all cases.

(a) If the L. H. A. exceeds 90° W., usc the supplement as t.

(b) If it exceeds 180° W., reject 180° and use the remainder as ft.

(c) If it exceeds 270° W., use the explement as f¢.

(d) If it exceeds 360°, aR 360°, then treat as in (a).

14. In finding the quantity d+6 with which Table II is entered, should this

amount exceed 90°, take quantity in degrees from bottom of page and take

minutes from right-hand column, reading up. .Give the resultant Z’’ a negative

sign because cot (180°—0)=(—) cote. ,,

~15. In finding the azimuth when the value of C+D exceeds 10000, as, for

example 13586, the 10000 is dropped and only the number 3536 is sought in

Table IT.

16. In the following examples the letter a is used to-indicate the altitude

difference (also called intercept) from the assumed position of the observer

TOWARDS the heavenly body, if the true altitude (h) is greater than the computed

altitude; away if the true altitude is less than the computed altitude. The

true altitude (h)=the observed (or sextant) altitude+all corrections applied.

17. In lieu of a better position the intersection of the perpendicular from the

dead-reckoning position at the time of the sight to the line of position obtained

with these tables must be taken as the HSS probable positi

the line.

oe

10

USE OF THE TABLES

18. The difference in the azimuth of the heavenly body due to the adoption of an assumed position differing from the D. R. position may be neglected for nearly all practical cases. However, when high altitudes are observed within an hour of the meridian the correct azimuth can be obtained only by using the data for a point at or near the observer’s position. Therefore, under these conditions the assuming of a position to fit the tables may produce an appreciable error in the azimuth, with consequent deflection of the line of position. This source of error may be avoided by interpolating to minutes of latitude within Table I.
19. A study of azimuth tables shows that rapid changes of azimuth occur within an hour of the meridian, and this, coupled with difficulties of observation, makes such azimuths of little value in the accurate determination of compass error. The most favorable time for the determination of compass error is when the heavenly body is low and near the prime vertical (when the body bears to the eastward or westward.)
USE OF THE TABLES

ALTITUDE AND AZIMUTH

(Case I (L. H. A. less than 90°; d+6 less than 90°).—For the sake of brevity,

the corrected observed altitude will be given in each case instead of the sextant

altitude, index correction, and height of eye.

Problem 1—The U.S. S. Richmond is making passage from the United States

to Montevideo. At about 1650, on March 26, 1928, she was in D. R. position

latitude 31° 047 S., longitude 49° 35:7 W. At this time the sun was observed

as follows: Watch 45 52™ 27s; C-W. 25 47™ 17s; chronometer slow 12™ 28»;

corrected observed altitude 18° 16/5. Required the line of position.

h

m

8

Wer aee. see a 4 52 27

CHW ot2e.Se. 2 47 17

19 389 44
Cee. Ca is a5

G. C. T. 26 Mar. 19 52 12 Ba: tk. os Es (—) 5 411

CR. Bee eeeeee 19 46 30.9

Subtract

12

2a: Fey,Ge eee 7 46 30.9 W.

neiss. ae cy See

HG? 377" W.

Ass. dong. .==- (—) 49 37.7 W.

——_————_——_

(Assume a longitude such that the

bad An 3232.

67

W. __ resultant L. H. A. will be an integral

degree.)

Enter Table I with t=67°, L=31°, and on page 37 pick

out for these values the value of b, A, C, and Z’. Com-

>| bine the value of b thus found with the declination

a

ee 67" obtained from the Nautical Almanac to obtain d+.

7 ote tee (b takes the same sign as the latitude; d and b are added

degree:)

when the signs are alike; subtracted when the signs are

e

unlike.) With the value d+b thus obtained enter

Table II and pick out the corresponding values of

Band D. These will be found on page 55.

PROBLEMS

71

decrees Ce 2IAOR NE fr. Table I_. 633° 02/1 S. A 21159

C 103

Z! 3925

d+630 41.1

B 29216

D 227

h, 18° 16/2

A+B 50375 |C+D 330

h, 18° 16/5

——_--

a

0/3 (towards)

Z” 65.0 _
(Z) S. 104°5 W.

Lay off from the assumed position latitude 31°, longitude 49° 37:7 the bearing

(Z) S 104°5 W., and, at a distance a=0!3 towards the body on the bearing line,

draw a line at right angles to it. This is the required line of position.

Important.—It must not be forgotten that the bearing of the body and the

intercept must be laid off from the assumed position and not the dead reckoning

position.

Case I (L. H. A. less than 90°; d+6 greater than 90°)—Problem 2.—The

U. 8. 8. Corry is making passage from San Diego to Honolulu. At evening

twilight on December 15, 1928, in D. R. position latitude 24° 30/9 N., longitude

147° 149 W., the navigator observed the star ‘‘Deneb” as follows: W. 54 41™

13°; C-W. 9 51™ 235; chronometer slow 8™ 22%; observed altitude 49° 49/5.

Required the line of position.

h

m

8

\ ee ee eee 5 41 18

@aWis sess e355 9 51 23

5 o2n oo (Ch OS. eee (+) 8 22

G. C. T. 16 Dec. Re Ae M..©2.2.. ih 100 a eee

3 40 58 i Bi BVA 7
0 36.3

Gari goby 9 19 07.0. (Now add 24 hrs. to G. 8S. T.; illustrates

Lie gS ae 20 38 58.4

note 1.)

(Gils ay eee 12 40 08.6

PTR)

elRN he

190° 02/2 W.

Assumed A__~_-- (—) 147° 02!2 W.

by 1 Geer Neer ee

43°

W.

t_---.___._ 43°)dec. 45° 01/6 N.

Ass. lat__ 25°Jb 57° 28°7 N. A 10453

C 209

Z’ 68°5

d+b

102° 30/3

B 1043

D 9346

h. 50° 07/4 h, 49° 49/a5e

a

17/9 (away)

A+B 11496 | C+D 9555 :

Z’’ (—) 19°8 ; (Z) N. 48°7 (W.)

(In this problem d+b exceeds 90°; therefore, take angle 102° from bottom of

page 64 of Table II and 30’.3 from right-hand column at side. The resultant

Z’’ is given a negative sign. This illustrates note 14.)

201432°—40——6

12

USE OF THE TABLES

Case I—Problem 3 —The U. 8.8. Idaho is making passage from Rio de Janeiro to Cape Town. During evening twilight on September 29, 1928, the navigator observes the star ‘Rasalhague” as follows: W. 6 38™ 15s; C-W. 115 58™ 45s; chronometer slow 1™ 048; corrected altitude 40° 33/1. Position by D. R. at time of sight was latitude 30° 57’ S., longitude 0° 08'6 E. Required the line of position.
h
iis ee ee ee 6 88 15 Weer enc ane te 11 58 45

C.F

6 37 00

Cree See ae (+)

1 04

z

G:C. T: 29 Sept. == RAM O.22e- sas. Ci 651 a
RCAe?. Eho HOe oeEeee

18 38 04 030 1.3
3 3
—--
1197 3111 0396..03

G 0H. A senseses 1 39 32.7 W
Ro) Are. stestioie Sse 24° 53/2 W. Assumed long___.(+) 0° 68 E

or, G. C. T. 29 Sept.
G. H. A. 29 Sept. Corr. 185 38™ Corr. 48
G. H. A.
Assumed long.
Ti. As

18 38 04
; 104° 36/3
280 15.9..
ike1.0
24 53.2 W.
0 6.8 E.
a 25° 00.0 W.

I SEls FAv tee setaes 25° O10 W. foo pts ots, 25° \dee. 12° 36/8 N. Ass. lat__- Bileof b 56° 27/4 S. A 3054

C 441

oe stySpam?lose)

d+b 438° 50/6

B 15946

ID alee

he 40° 13/0 h,. 40° 33/1
sae ESTA

a

20/1 (towards)

A+B 19000

C+D 458

Li Ors

(Z) 8.147°3. W “

Case I—Problem 4.—A seaplane is making passage from New York to Ponta del

Gada, Azores. . During evening twilight on June 24, 1928, while.in position by

D. R. latitude 38° 14°8 N., longitude 31° 4875.W., the navigator observed the

moon’s lower limb as follows: W. 7» 51™ 008; C—W. ‘Oh 08™ 29s; chronometer fast

8™= 315; corrected altitude 48° 39/1. Required the line of pasties;

h

m

5

Wie

ee eee

a 51 00

CW ee ee 2 08 29

(Oi Ceti ht , eo ee

9 59 29 (+) 8 831

G. C. T. 24 June__ 21: 50 58

RA. Me Os. -2— 180 35,5

ofDt UlLc a a

3 35.4

Gos. bes se Se 16 02 08.9

A

ee Seee ‘12 17 -23. 0.

Gil Asti 5 : Gee. 3 44 45.9 W.:

BO BA CS axe 2 Se =

56° .11/ 5. -W.

Assumed long__-__- (—)31° 1125 W.

Dp A eeBe ee

25° OfO W.

eAsns. leaet.eee 5 38°fb | 49S°oI14e/s2OmNN. A 2553

CG. 478 Z! 7420

d+b 52° 36/8

B 9988

pew Sonate?
h, e48a° s39/1ae

a

7:9 (towards)

A+B 12541

D 9883 C+D 361

Z’’ 66.5
(Z) N 140°5 W.

PROBLEMS

73

Case I—Problem 5.—The U. 8. 8. Texas is making passage from San Diego to Valparaiso. During the forenoon of June 25, 1928, while in D. R. position latitude 30° 05/8 S., longitude 74° 34/5 W., the navigator observed the sun’s lower limb as follows: W. 8» 15™ 26s; C-W. 54 07™ 12s; chronometer fast 7™ 428; corrected observed altitude 14° 07/5. Required the line of position.

J

agee

CAWis se ee eee

h

m

8

3 ily BAS

5 Of WP

1B} 22) BS

(Gis (Ceeae (—)

GY @@

Guo

25) Juness 13° 14756

Hgwohabe soc 3 (—)

Ze 258 5

GAC oi YeasRee UR 12 SOL & Subunacheea sees 12

(COMET ANS = 8s ee

1 1 BOL WW

JNTROs Se aie 18° 07. 6’ W.

Assumed long_(—) 74 07.6’ W.

Tins El lgeeseeOeeeer 56
(22 ales eam shales 232) 23.8yNe Ass. lat_ 30° b 44° 05/1 S.

KE. A 15734

C 144

Li Doge

d+b 20° 41/3

B 45188

D 423

h, 14° 14/0

he a1e4°s 0775

a

615 (away)

A+B 60922

C+D 567

Lh (Ames
(Z) $12893 E

Case I—Problem 6.—The U. 8. 8. Stewart is making passage from Hainan, China, to Manila. During the afternoon of. May 18, 1928, while in position by

D. R. latitude 17° 01/3 N., longitude 116° 34’ E., the sun’s lower limb was observed as follows: W. 45 00™ 10*; C—W. 35 45™ 325; chronometer slow 14™ 18s;

corrected observed altitude, 35° 38/9; sun bore 281° per gyro compass. Required the line of position and the error of the gyro compass.

og he

m

8

VV

a SR cs 4 00 10

TANSe ey aes aces OM

OUD,

~ 45 42

CaiC ee ae (+)

£4414 18

G. C. T.18 May... 8 00 00

Eq. (0)ie A an a

+3 43.1

Cp At IP

8 03 43.1 (add 24 hrs.)

BUbtraACb a4. eee 12

GraeerAC 22k oa 20 03 43.1 W. PAT Cee ne oa a 300° 55. 8’ W. Assumed long_(-++) 116 04. 2’ E.

Medes PAG 2h.,SSoa yes 417°

W.

(Reject) =. ce 360°

Pesar eeo e et 57

W. (illustrates Note 13(d))

74

USE OF THE TABLES

Pe-cuess 57°\dec. 19° 31/4 N. Ass. lat. 17° b 60° 41/6 N.

A 22381

C 96

Z’ 65°8

d+b 80 138.0

B 636

D 9237

h. 36° 03/5

ho 35° 38/9

—_——

a

24/6 (away)

A+B 23017

C+D 9333

Z!' 12.2

ae

Z (N.) 78.0 (W.)

4

282°

Z

281 (pgc.)

Error pge. 1° (E.)

Case II (L. H. A. between 90° and 270°)—Problem 7.—On May 15, 1928, about 8 p. m., the U. 8. S. Mississippi making passage from Hampton Roads to Liverpool, while in D. R. position, latitude 40° 43’ N., longitude 68° 30’ W., observed the star Vega as follows: W. 7» 36™ 12°, C-W. 44 59™ 12s, chronometer 1™ 1% slow. True altitude 14° 50.5’.

IWeeioere Bose CeWiejaoe-ceeee

h m

8

7 36 12

4 59 12

CO eed oss 12 35 24

CA Ge eee ae (+) 1 Ol

J

G. C. T. 16 May__
R.A. M.S. ©_-. Ca CC =
Tab. III :

0 36 25

15 33 49.

S

;

6.0

eaoi 2 Rain 2 ee ee

(ks ta).ee

16 10 20.7

R. A. * es

18

84

31. 3

nae ¢

Geta Aqsa see 21 35 49.4 W. Acces Sided is bin 323° 57. 4' W.

Assumed long_(—) 68° 57.4 W.

or, G. C. T. 16 May
ne G. H. A. 16 May Corr. 04 367
Corr. 25
G. H. A.
Assumed long.
L. H. A.

0 36 25

314° 9
—=
323
68 =) 255

49/6 01.5
6.3 Saar
57.4
57.4 a 00.0

Li & ae, eee

255°

Reject. .=<.- = 180°

W. (or 105° E.)

os ae a

is

(illustrates Note 13 b.)

t=75° |Enter Table I with t=75°. L=41° (page 41).

L=41° | Find b, A, C, and Z’. 6 is given sign opposite to that of latitude (see

Note 12).

Combine }, with declination and always subtract.

With value d+} enter Table II, pick out values B and D.

Add A+B and C+D. Change Z’ to (—). (See Note 12.)

CTabe. I avs db 3186°° 4324..87’' 8N.. A 16461

©1397

Z! (—) 22°92

(Subtract).d+b 22 07.9

B 42396 D 391

hhoe 1144° 5560..57’

a

6. 2’ (away)

A+B 58857 |C+D 528

Zz!" = -'73°5 % N53 E.

PROBLEMS

75

Case II (L. H. A. between 90° and 270°)—Problem 8.—On June 22, 1928, about 6 p. m., the U. S. S. West Virginia in D. R. position lat. 50° 55’ N., long. 30° W.., observed the sun’s lower limb as follows: Watch 65 5™ 30s, C—-W. 25 1™ 20s, chron. fast 0™ 208. True alt. 17° 14.5’. Required line of position.

Wes o 5 ee ee Opa ote Gu

hea

8

) 5) ah)

2elen20

Chnoshe Sn Be 8 6 50

(Oj GS WesSURE alaenati (—)

0 20

GC. E:'22 June--__- 20 6. 30

1201 een (—)

1 50.6

(CAM TDa

20 4 39.4

Subtract... 22252— 12

(Cape An Se ot oe eS Atos 33 eee Assum. long-...(—)

8 4 39.4 W. 121° 9.8) Wi
30° 9.8’ W

iets Auses ees 91° 180°

00’ W. (illustrates Note 13 (a).)

Gn 8 Me ea pe eee

89°

Emeansorlad 23° 26°77 N: Pea ol fo. 0! 4816. 8:

A 10946

C 201

Z’— 1°3

d+b6 22 38.1

B 41470

D 380

lh ALS Pe

A+B 52416 |C+D 581

Lieto

he te

a

9.7’ (away)

ZN.740 W.

MERIDIAN ALTITUDES

A new and short method for working meridian altitudes is here developed. (Refer to fig. 1, p. 67.) When the heavenly body is on the meridian, ¢ equals zero. ‘The side a becomes zero, and point D coincides with point Z; b therefore equals the colatitude. Likewise, B will equal the coaltitude. Since B equals co (d+), itis apparent that (d+-6) will equal h (the computed altitude). Hence, whenever ¢=0° (when the body is on the meridian or near enough to the meridian such that the assumed longitude makes ¢=0°) the work of finding the resultant latitude at the time of the sight is exceedingly simple. Subtract the D. R. latitude from 90°. This value equals b. Apply the declination in the usual manner to getd+b. This value of d+ 6 equals the computed altitude (h,), except in one case when it exceeds 90°, in which case use the supplement as h,. Applying the observed altitude gives us an altitude difference. Now, the azimuth is assumed to be 0° or 180° according as the observer faces the elevated pole or has his back to the elevated pole when taking the sight. The latitude is thus quickly obtained without entering the tables. This method is much more simple than the usual methods of meridian altitudes given in Bowditch. It has the added advantage of disposing of the necessity of remembering confusing signs, An example follows:

76

USE OF THE TABLES

Problem 9.—The navigator of the U. 8. S. Raleigh, on January 11, 1928, in D. R. latitude 15° 08/6 N., longitude 157° 19/1 E., observes the sun at L. A. N. as follows: hs © 52° 39’; I. C. (+) 1’; height of eye, 41 feet. Required the latitude at L. A. N.
Subtract the D. R. latitude from 90°___.__._..-_- 90° 00:6 15 08.6

(This equals 6, and takes the same name as the

latitude.)

74. 51. 4 (N.)

Apply the’ declination2-_.-. 2-55-22 ee 22 01.0 (S.)

The result (d-+-b) equals. he ~~ -.25-=- 3-22. 52 50.4 |eA A. Uh ee ape 52 49.4

a equalss #88

1/0 (away.)

4=180° since the observer’s back is toward the elevated pole. .*. the resulting

latitude equals 15° 08/6+1/!0=15° 09'6 N.

Problem 10.—The U.S. S. Los Angeles while making passage from Midway

Islands to Shanghai was at L. A. N., on July 22, 1928, in D. R., position latitude

28° 40’ N., 175° 14’ E. The navigator observed the sun for latitude as follows:

h, © 82° 06’; I. C. (—) 1’; height of eye, 1,050 feet. Required the latitude at

A. IN:

90° 00’

Dh wate 2sc 400 sen. —_—___——_
pe ee Gle820% IN:
deckas. (202 2278 Ne ——_—_—_—-
| pe 81 42.8 lie: 81 49.0

h; 82° 06’ I. C. {5
82° 05/ Corr. Tab. A. and B. —16/
Miruesaltes.. 22. oe 81° 49’

(ee

6. 2 towards 4 180°

Therefore latitude at L. A. N.=28° 40’ N.—6/2=28° 33/8 N.

NOON CONSTANT

If, to the value d+-b (or h,) we apply the index correction and the correction for

height of eye for this h, with reversed signs, we thereby obtain a noon constant K.

At L. A. N. simply observe the sun’s altitude and apply to K thus obtained to get

the altitude difference. This method eliminates the necessity of finding an

approximate altitude with which to find the height of eye correction. It also

eliminates confusing signs.

Problem 11.—In problem 9:

Rit (jb) SCQMAISS . <a hee he pel Pn oe BRS

52° 50/4

Reverse fons Ty Cute

es see (—)

10

Height of eye correction._...-------- (—)

9/4

(2) Noonsconstantsa() ==

ae = ee

Steps aaya saul eb 0s(Se en SR he ae

52° 40/0 52° 39/0

a=1!0 (away) 180°

PROBLEMS

ia~

REDUCTION TO THE MERIDIAN

(Near meridian)

The method of finding altitude and azimuth as set forth in these tables is

accurate to the time of meridian passage when the altitude of the observed body is less than 75°.

When a sight is reduced to the meridian, the resultant latitude is not the

latitude at meridian passage, but is the latitude at the time of taking the sight.

(See Bowditch, 1933, art. 330.) With this method a line of position is quickly

obtained; and, should the intercept be sufficiently small and the azimuth close

to 0° or 180°, we have practically a latitude line of position at the time the sight

is taken.

Problem 12.—On June 26, 1928, about noon, the U.S. 8. S—2/ in lat. 21S. long.

60° E., by D. R. observed altitude of sun’s lower limb bearing northeastward, as

follows: Watch 115 38™ 35s, C-W. 7» 59™ 10s, chron. slow 0™ 108. True altitude

45° 0’ 0’’. Find position line.

Ny je

h

m

8

Hits

saeco

CaWe ene ok

CY ®

(Cin BR a ee eee “3 45

(Go! Ces, salen een

10

Gis Os Mt, BH dramas 7 Be HS

Highoneys—=2(—)

235

A

ee

7 35 20 (add 24 hrs.)

Subtract. -=—- 2 12

(aR AG ee

19 35 20 W.

UATCE Spe Sa: SO

293° 50 W.

Monee H.28 (+)

60° 10’ BE.

eH VA ok Sue

354 00 W. (subtract L. H. A. from 360°) illustrates

Orgs He wAses. 8

6° E.

Note 13(c).

PENGo dss. eee DBS). COMIN ESQ NODE 2 esses 68 53.7 S.

A 208

C 1011

Z’ 87.8°

d+6b 45 31.2

B 14661

D 9992

h-=45° 14.5’

A+B 14869 |C+D 11003

Z’ 84.3

=

°

?

Wee OU

ee
(reject 10000) see Note 15. % 172°1 S.and E.

a=

14.5’ away

The true latitude is on the position line at a point in the correct longitude.

IDENTIFICATION OF AN UNKNOWN STAR

Refer to Figure 1, page 67. In the problem of finding the altitude and azimuth there is given two sides (d and L) and an included angle (é) of a spherical triangle and it is required to find the third side (h) and one other angle (Z). In the problem of identifying an unknown star, there is given two sides (L and h) and an included angle (Z) and it is required to find the third side (d) and one other angle (ft) with which to find the body’s right ascension. The problems are therefore similar; and, if in the tables we interchange Z for t, and h for d, we may readily identify the unknown body.

75

USE OF THE TABLES

Azimuths are reckoned from the north in north latitude, and from the south

in south latitude, from 0° to 180° to the east and west of the meridian, so that

for any azimuth over 90°, Table I is entered with the supplement, then the sign

of b, and ¢’ (used as Z’), become negative values. h is always positive. If h+b

is algebraically negative, then dis named contrary to latitude, and t’’ (used as Z’’)

isminus. tis the hour angle named from the initial point north (0°) to the east

or west, to agree with the observed bearing of the star. When the algebraic

sum of ¢’, and ?’’ (to give #), is negative, subtract it from 180°; the remainder is

the hour angle ¢, east, or west, of the meridian.

Problem 13.—The U.S. 8S. Lardner is making passage from Colon to the United

States. During evening twilight on October 7, 1928, while in D. R. position

latitude 15° 05’ N., longitude 76° 40’ W., a star is observed through a break

in the clouds and the following data recorded: W. 64 06™ 208; C-W. 5 10™ 06s;

chronometer fast 10™ 065, h, 20° 55’; I. C. (+)1’; height of eye, 36 feet; bearing

of star by gyro, 285° (N. 75° W.). Identify the star.

With Z=75° (used as #) and L=15° enter Table I.

h=20° 47!6(+)

b=44° 0'4(+) <A 44389

C 30 2? 46°0

h+bd 64° 48/0(+) B 4343

D 9673

dec. 19° N.

A+B 48732 |C+D 9703 ?’’ 26°8

1 ae eseR AW ceeo e

h

m

8

6 06 20

5 10 06

t=72°8=4 51™ west of meridian, since 4=285°.

Il 16 26

(CAR CoanSaea. ne (—)

10 06

Gs C.D. 7 Oct. 23 06 20

Le. Ceae aa 1 O1 33.8

1] 6 SA ne Repce

Bis Bh.

L—

~

*

Bi

CES ad Sapa e eag e ay i 24 11 41.5

WON ee

(—) 5 06 40

PPS. Butera.NN 19 05 01.5

M

(Approz,)i 2222-22282 4 51W

(Approx,)- Ry Al os 2222 14 14fWith these enter the Nautical Almanac.

(Approx.) dec______ (+) 19°

Star is identified as Arcturus.

Problem 14 (here Z is over 90° hence 6b and ?#’ are negative).—The U. 8. 8. Argonne is making passage from Midway Islands to Shanghai. During evening twilight on July 20, 1928, while on D. R. position latitude 28° 18’ N., longitude 179° 47’ W., an unknown star is observed and the following data recorded: W. 7» 16" 24°; C—W. 115 52™ 208; chronometer slow 7™ 288; I. C. (—) 1’; height of eye, 41 feet; h, 22° 58’; bearing by gyro 91° (south and east). Identify the star.

PROBLEMS

m9

4=91°; since this value is greater than 90° use the supplement as Z.

with Z=89° (as t) and L=28° enter Table I.

eL..e28e°fb 221° 4582.84(’(—+)) A32815

C 5A

#? (—) 221

Therefore,

pep eon a5 GE) nB4tm2i| D4i7

(-4) dee. 9°39’ A+B 77527| C+D 471 71.8

t = 69,2=4)37™ B,

Oe
Gaye ee

7 16 94
11 52 20 °

C Ct es (+)
G.ONCE. T Ol ulyosee es
ee Vi @lao Jee LNA I)sOa

19 08 44 TOs
oH
19 54 02.5 1 LENG

G LS elCSE aeoe a Ziel 26501 ome se Se oe (—) 11 59 08

r
YY
y/ =e | *

1Dy tS yal eal a

Tay iP 9 alsa

M

(Approx) ts222552055 4 37H.

(Approx.) BR. Al? oo - 19 49)\From Nautical Almanac star is identified as (Approx.) dec. ---.(+) 9°39’J Altair.

Problem 15 (here Z is over 90°, hence 6 and ?#’ are negative).—A seaplane is

making passage from San Juan to Hampton Roads. No sights were available

until the morning after departure (November 20, 1928), when, through a break

in the clouds ‘‘Procyon”’ and an unknown star were observed. The pilot esti-

mated his D. R. position at the time of sight to be latitude 27° 35’ N., longitude 70°

26’ W. Other data as follows: G. S. T. at time of sight (by G. S. T. watch)

25 46™ 34s; corrected altitude 28° 52'5; bearing of star 120° (south and east).

Required to identify the unknown star.

Z 120°

Z 60 h 28° 52°5(+) L 28 b 48° 1444(—)

<A 19082

(Galil

(—) 50°9

h+b

14° 21'9(—) =B 60533

d (—) 9° 12’

al

A+B 79615

D 592

— C+D 709

(—) 7829

t= (—) 129°8 (Subtract

from 180°)

i= 50. 2=3520™ 48H.

h m

5

Gao eb c eee eee 14 46 34

WOME ees ee

eee (—) 4 41 45

Ty FSV ese eee eee cd ee 10 04 49 PANROORene erie = fe ie OU eS 3 20 48 E.

ADO pk TALE So Jes oe 13 25 37

IADprOxcGce= = Sse ss G)

9° 12’

(Star is identified as Spica.)

80

USE OF THE TABLES

GREAT CIRCLE COURSE AND DISTANCE

Like all other problems in navigation, this problem can be approached and

solved with the same astronomical triangle; i. e., having been given two sides and

an included angle, it is required to find the third side and one other angle.

Let L; and , be the latitude and longitude of the point of departure and L, and

Az be the latitude and longitude of the point of destination, respectively. Now,

if in the astronomical triangle we make the following substitutions, we may use

these tables with which to solve the problem:

For ¢ substitute the difference of longitude between the two places.

For L substitute L,; (the latitude of the point of departure).

For d substitute L, (the latitude of the point of destination).

Then Z will equal the initial Great Circle course and co h, will equal the Great

Circle distance between the two points. ‘The method of computing the course and

co h,, or 90° +h,, is given by the following rules:

When t (diff. long.) is less than 90°, both b and Z’ have + signs.

When ¢ (diff. long.) is greater than 90°, both b and Z’ have — signs.

When L, and I, are in same latitude, L: is always plus.

When IL, and I, are in different latitude, L, is always minus; combine alge-

braically L, and 6, having regard for signs; should the result be less than 90°, give

Z’’ the same sign, but if L.+6 is greater than 90° give Z’’ the opposite sign to

L,+0.

Add algebraically Z’ and Z’’, naming the initial course from the elevated pole,

if the resultant Z has the plus sign, but name course from the depressed pole if Z

has a minus sign.

When L,+6 has a, plus sign, the distance is 90° —h..

When L,+ 6 has a minus sign, the distance is 90° + Ag.

Problem 16.—Given two places, one in latitude 40° N., longitude 70° W., the

other in latitude 30° S., longitude 10° W., find the Great Circle distance between

them; also the initial course. Diff. long.—60° (H. A. between 0° and 90°).

t_.60°

L, 30° 060/0(—)

L; 40° N.fb 30° 47°4(+) A 12595

C 178 Z’ 41°9(+)

In+b 0 47.4(+) B 186053

D 1860

he 0° 3575

A+B 198648

C+D 2038 Z’’ 89°5(+)

Course=N. 131. 4 E.

(90° —0° 35'5=D=89° 24'5=5,364.5 nautical miles.

Problem 17.—Find the Great Circle distance and initial course between 1° N.,

122° W., and 35° N., 139° E. Diff. long. =99° (180°—99°=81°).

t__81°|=b 83° 38.0(—)

L,; 1°f=Lz, 35° 00.0(+)

A 80302

C

5 Z’ 83°7(—)

L.+b 48 38 (—)

B 12465

D 9945

Z’’ 41.7(—)

he—Go 477

A+B 92767

C+D 9950

Z 125.48. and W.

90+°6° 47’=D=96° 47’=5,807

or N. 54. 6° W.

nautical miles.

Problem 18.—Find Great Circle distance and initial course between Cape Town

34° §., 18° E., to New York 40° N., 73° W. Diff. long. =91° (H.A. between 90°

and 180°) supplement89=°.

t__89° \L, 40° 0!0(—) L; 34 §.fo 1 28.9(—)

A 25229

‘ C 81 Z’ 1.8°(—)

L2+6b 41 28.9(—)

B 17889

D 53

h, 21° 44.8’

A+B 43118

C+D 134 Z’’ 53.7(—)

Course N. 55.5 W. 90° + 21° 44.8’=111° 44.8’=6,704.8 nautical miles.

PROBLEMS

Q4

LATITUDE BY POLARIS

Problem 19.—On January 26, 1928, p. m., the U.S. 8. S—2/ in D. R. lat. 27° N.,

long. 118° 36’ W., observed Polaris as follows: W. 8 10™ 208; C—W. 7» 23™ 10s;

chron. fast 7= 29s. True altitude 27° 50/1. Find line of position.

h

m

8

‘YS Pe ONG eT

8 10: 20

VV eeel

23. I)

(OG OE ES eee naaineape een ers 3 33 30

(Ch CIE OS Se Se cee (—)

Tr 29

CaCO. Janes 3 ue 3 26 O1

Rp AG IVs Sai@ soooso 2k 8 20 08.7

CorraG: Cy P2222)ee

33. 8

CS es Seee s a Rtg faceSS Seal a en A

11 46 43.5 I ey RG

Ge AS eso el ee ee OM ees WV ANTON SR cit et ah 152° 48. 87 OW NWOTGee eeeSr,eee (—) 118 488 W

TEA 8Ly7, a le re Face, 34
tI__O.3S4°7? )\d(7e)c. 8588.°) 5255..4SUNNG.

W.
A 6196

C 303

Zi 73.0°

d+b 147 20.9

B 26798

D 193

lhhoe P2R7I°S B50E. 1°

A+B 382994 | C+D 496

LZ” —72. 3
SY ee

a=

3. 4’ (away)

Lat.=27°—3.4’=26° 56.6’ N. (It is the practice to disregard the position

line and regard it as a parallel of latitude.)

The line of position is identical with that obtained with Table I a of the Nautical

Almanac. (The Nautical Almanac solution is shorter for Polaris.)

82

VISIBILITY TABLE

The aviator can find from this table the radius of his vision under good weather conditions. It will also aid in estimating the distance of a place within or on his horizon.
Distance of visibility of objects at sea or distance to horizon

Height, | Nautical

in feet

miles

Statute Iiles

Height, | Nautical

in feet

mniles

Statute miles

Height, in feet

Nautical | Statute

mniles

miles

1 2 3 4 5
6 U 8 9 10 |
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
31 32 33 34 35
36 37 38 39 40
41 42 43 44 45
46 47 48 49 50
55 60 65 70 75
80 85 90 95

ibpal nd 2. 0 7) 25
2.8 2.9 3. 1 3. 5 3. 6
3. 8 4.0 4,2 4.3 4.4
4.6 4.7 4.9 5. 0 SU
5. 3 5. 4 5.5 5. 6 Hf
5. 8 6. 0 6. 1 6. 2 6. 3
6. 4 625 6. 6 6. 7 6. 8
6. 9 6. 9 (0 Tal (2
ee 7.4 (aS 7.6 (20
7.8 7.9 7.9 8. 0 8.1
8. 5 8.9 9. 2 9. 6 9.9
10. 3 10. 6 10. 9 Tals 9

13

100

1.9

105

ns 3

110

2. 6

115

2.9

120

3. 2

125

By

130

BH if

135

4.0

140

4.2

145

4.4

150

4.6

160

4.8

170

4.9

180

yal

190

3

200

4

210

6

220

8

230

9

240

ll ee me m3) . 6

BITE
9 0 1 2

3 5 6 ai 8

9 0 1 2 3

4 5 7 8 .9

. O . O
1 2 3

8 ee, . 6 0
4

.8 Meer Be) 9

It 5 Hale 7 IPA) Pa: 12. 6
12.9 13. 1 13. 3 13. 6 13. 8
14.1 14.5 14. 9 15. 4 15.8
16. 2 16. 6 Ie 17. 4 Ua
18. 2 18. 5 18. 9 19. 2 19. 6
19.9 20. 1 20. 5 20. 8 Paar |
21.5 PA earl 22: 1 22.3 22.7
22. 9 PB, Pe 2320 Zo 24.1
24. 3 24. 6 24.8 25. 1 25. 4
25. 6 26. 1 PAT Lh Dien 27. 6
28. 0 28. 6 29. 0 29. 4 29. 9
30. 3 SONG ole

13. 2 13. 5 13. 8 14.1 14. 5 14.8 Tey a 15. 3 15. 6 15.9
) | ! : ; HB 9 4 9 4 9 4 . 9

31. 6 32. 0 32. 4 32. 8 30. 2
33. 6 34. 0 34. 4 34. 7 S02
35. 5 35. 9 36. 2 38. 0 39. 6
41.3 42.9 44, 4 45. 8 47.2
48. 6 49. 9 +) By 52.5 53. 8
55. 0 56. 2 Stee 58. 5 59. 6
60. 6 61.8 62. 8 63. 8 64. 9
65. 9 66. 9 67. 8 68. 8 69. 7
Oma 71.6 CPAs 3: 73. 4 74. 3
oe 76. 1 76. 9 fies 78. 6
79. 4 80. 2 81. 0 88. 8 96. 0
102. 6 108. 7 114. 6

36.4 36.9 31.3 37.8 38.3
38.7 39. 2 39.6 40.0 40.5
40.9 41.3 41.7 43.8 45.6
47.6 49.4 51.1 52.8 54.4
56.0 55 59.0 60.5 61.9
63.3 64.7 66.0 67.3 68.6
69.8 filley,| 12.3 fans 74.7
75.9 77.0 78.1 79.2 80.3
81.4 82.4 83.5 84.5 85.6
86.6 87.6 88.5 89.5 90.5
91.4 92.4 o3na 102.2 110.5
LTS ae 125.2 132.0

EXPLANATION OF THE TABLE
This table contains the distances, in nautical and statute miles, at which any object is visible at sea. It is calculated by the formula:
d=1.157z, and d'=1.32/z,
in which d is the distance in nautical miles, d’ the distance in statute miles, and zx the height of the eye or the object in feet.
To find the distance of visibility of an object, the distance given by the table corresponding to its height should be added to the distance corresponding to the height of the observer’s eye.
EXAMPLE: Required the distance of visibility of an object 420 feet high, the observer being at an elevation of 15 feet.
Distance corresponding to 420 feet is 23.5 nautical miles. Distance corresponding to 15 feet is 4.4 nautical miles.
Distance of visibility.______- 27.9 nautical miles.
83

84
Diastt. yes

PLANE TRAVERSE TABLE

2 Fi p

3 F

4

;

p

5

Di=st

,

p i cs

fo}
0 1 2 3 4
5 6 i 8 9
10 11 12 13 14
15 16 U?/ 18 19
20 21 22 23 ie 24
25 26 Pil 28 29
30 31 32 33 34
35 36 Sif 38 39
40 Al 42 43 44 45
ane:

°

2. 00 |0. 00 |3. 00 |0. 00 |4 00] 0. 00 | 5. 00 |0. 00

90

2. 0 . 03 | 3. 00

4.00) .07/5.00/] .09

89

2.00} .07/| 3. 00

4.00] .14]5.00

17

88

2. 00

10 | 3. 00

3.99] . 21] 4.99

26

87

2. 00

14 | 2. 99

38.99} .28]| 499

35

86

199)! 1.99} 1.99| 1.98] 1.98;

Salva i2) 09 .21/)] 2.98 .24/) 2.98 .28)| 2. 97 .31] 2. 96

3.98) .35]| 4. 98

44

85

38.98] .42] 4. 97

52

84

3.97] .49] 4.96

61

83

3.96) . 56] 4.95

70

82

8.95) .63] 4 94

78

81

LOT | aoa os 1.96] .38] 2. 94 PAOG |] S42 os LOD |) A i253 92 1.94] .48]2. 91

8.94] .69|4.92)| .87

80

3.93} .76|4 91] .95

79

3.91) .83] 4 89] 1. 04

78

3.90} . 90] 4.

1, 12,

Gd,

3. 88] .97| 4.

128

76

193) 1.92) POds 1.90| 1.89]

. 52/172: 90 . 5512.88 758 2: 87 . 62) 2. 85 .65)] 2. 84

3. 86 | 1. 04 | 4.

1. 29

75

$285) 12 104:

1. 38

74

34 (S85 foil Iz Web

1. 46

73

3. 80 | 1. 24) 4

1. 55

he

3. 78 | 1. 30 | 4.

1. 63

71

UVSSi le NGS 27823) 1

SLO Laas

al

70

Se | iene Ome

34-73) ||bie Sy] zk

7s

69

IS Sain lene 75s] Pris) ie

3. 71 | 1. 50 | 4.

1. 87

68

184). 781 2276 | 1

3. 68] 1. 56 | 4.

1. 95

67

1. 83

81) 2.74) 1

3. 65 | 1. 63 | 4.

2.03

66

1 ersti /ameetelay |247/74, (Vial

2G | 1. 69)|"45 53) 25in

65

1.80] .88)2. 70) 1

3. 60 | 1.75 | 4.

2.19

64

Laie,

aol 2. 6c

38. 56 | 1. 82 | 4 46 | 2. 27

63

eet |) 945) 2565 [AL

S208 |. 68 4. 41 2835

62

F

Leto SOW 20625

38. 50) 1. 94) 4 37} 2. 42

61:

TA73 1s00) K2560)|a1

3. 46 | 2. 00 | 4. 33 | 2. 50

60

Te 7 ik CRY) Bea (al

3. 438 | 2. 06 | 4.

2. 58

59

1. 70} 1.06) 2. 54) 1

By OU OA IPA i

2. 65

58

1.68} 1.09} 2. 52) 1

Baa) PAA Thy |e

AN es

57

1.66) 1.12) 2. 49|1

3. a2 | 2. 24 | 4.

2. 80

56

1. 64) 1. 15 | 2. 46 | 1. 72} 3. 28 | 2. 29 | 4.

284

55

1. 62] 1. 18] 2. 43 | 1. 76) 3. 24) 2.35] 4.

2. 94

54

60) | 1520) 2) 40)

Sk V3. 19 2541.3.

Sy (01!

53

5S: eae. oon dasa |o- Lol 246 3.

3. 08

52

LOOM

Olea Sonlmla SO los del 2.co2 lo:

Sy lis

51

LST IZ 9) 2 SONae 93 SN06 FANS 7 43)

ah ell

50

POE asta. Qoob. OW | 3202 | 262) '3.

3. 28

49

1. 49 |}1. 34] 2. 23 | 2. O01 | 2. 97 | 2. 68 | 3.

3.00

48

1. 46] 1. 36} 2. 19 | 2.05 | 2. 93 | 2. 73 | 8.

3. 41

47

1. 44] 1. 39 | 2. 16} 2. 08 | 2. 88 | 2. 781] 8.

3. 47

46

1. 41 | 1. 41 | 2. 12 | 2. 12 | 2. 83 | 2. 83] 8.

3. 54

45

tT

e

l P

l 2

U 10 £ |Course

—

—

Dist.

i

2

3

+

5

Dist.

ExpLaNaTIon: Difference of latitude and departure degree from 0° to 90° and for every mile from 1’ to 10’. tances greater than 10’ use corresponding multiples.
Thus, to find 7 and p for 20’ on course 20°: l for 2’=1.88; for 20’ it equals 18.8. p for 2’= .68; for 20’ it equals 6.8.

is tabulated for every To find / and p for dis-

Pia
a

6

H

p

PLANE TRAVERSE TABLE

%

l

p

8

H

D

9

y

p

10

l

p

85
Diast.
or"

°

°

0 |6.00] 0. 00] 7. 00] 0. 00 | 8. 00 | 0. 00 | 9. 00 | 0. 00 |10.00 | 0. 00

90

1 6.00} .10] 7.00} .12/8 00; . 14) 9. 00

16 |10.00

17

89

2 6. 00

21 | 7.00) .24/8. 00) . 28) 8.99

SOOO

e220

88

3 5. 99

31)6.99]| .37| 7.99] .4218.99

47 | 9.99

ie

S77.

Aye ltoo9

42|6.98| .49| 7.98] . 56) 8.98

63 | 9. 98

70

86

5 WOR | 52) |CL O71

OLN

OalenOl LSnoTalMeNionnonoo |e ed,

85

6 15.97) .63] 6. 961° 273 |796) 28418 95 |" .194 719.95) 1) 05

84

7 15 96 1.731 6.95 | 85 |als O4ale Que ltSs Gon leelO) 95 93s ts 22

83

8 1504) . 8416.93) . 97/7. 92) 1. 11/8. 91 | 1. 25 | 9. 90)) 1. 39

82

9 | 5.93

9416.91] 1. 10) 7.90] 1.25] 8. 89] 1. 41] 9. 83] 1. 56

81

10 |5.911| 1.04) 6.89] 1. 22] 7.88] 1.39] 8. 86] 1. 56] 9. 85] 1. 74

80

11 5. 89 |1. 14 | 6. 87| 1. 34] 7.85] 1. 53 | 8 83) 1. 72 |9. 82] 1. 91

79

12 5. 87,1. 2516. 85; 1. 46 | 7. 83 | 1. 66] 8 80} 1. 87 | 9 78 | 2. 08

78

13 5. 85.11. 35 |6. 82). 57 |)% 79.1 1. 80) 8. 77 | 2. 02 |9 74 | 2. 25

AC

14 | 5.82] 1. 45| 6.79] 1. 69] 7. 76| 1.941] 8. 73 | 2. 18 | 9. 70 | 2. 42

76

15 5.80 /1.55 | 6. 76| 1. 81 | 7. 73 |'2: 07) 8. 69 | 2. 33 9. 66 | 2. 59

75

16 5. 77 |1. 65 | 6. 73 | 1. 93 |7. 69 |2. 21 | 8. 65 | 2. 48 ) 9. 61 | 2. 76

74

17 5. 7411.75 | 6. 69 | 2. 05 | 7. 65 | 2. 34 | 8. 61 | 2. 63 | 9. 56 | 2. 92

73

18 |5.71|1.85]| 6. 66] 2.16] 7. 61 | 2.471] 8 56] 2. 78 | 9. 51 | 3. 09

72

19 | 5.671 1.95 | 6. 62 | 2. 28| 7. 56 | 2. 60/8. 51 | 2. 93 | 9. 46 | 3: 26

71

20 | 5. 64/2. 05/6. 58] 2.39] 7. 52 | 2. 74) 8. 46] 3. 08 | 9. 40 | 3. 42

70

21 | 5.60/ 2.15] 6. 54] 2. 51] 7. 47 | 2. 87] 8 40] 3. 23 |9. 34 |3. 58

69

ey 5. 56 |2.251 6. 49 |2. 62 | 7. 42 |3. 00 | 8. 34] 3. 87 | 9. 27 | 3. 75

68

2a 5. 52 | 2. 34 | 6. 44 | 2. 74 | 7. 36] 3. 13 | 8. 28 | 3. 52 | 9. 21 | 3. 91

67

24 | 5.48] 2. 44/6. 3912.85] 7. 31) 3. 25] 8 22 | 3.66) 9. 14) 4 07

66

25 5. 44 |2. 54] 6. 34 | 2. 96 | 7. 25 |3. 38 | 8. 16] 3. 80 | 9. 06 | 4. 23

65

26 5. 39 | 2. 63 |6. 29 |3. 07 | 7. 19 |3. 51] 8. 09 |3.95) 8 99 |4 38

64

27.15.35) 2. 72/6. 24| 3.18] 7. 13 | 3.63] 8. 02) 4 09) 8. 91) 4 54

63

28 5. 30 |2. 82 |6. 18 | 3. 29 | 7. 06 | 3. 76] 7. 95 |4 23) 8 83 | 4 69

62

29 5. 25 |2. 91) 6. 12 | 3. 39 | 7. 00 | 3. 88 | 7. 87 |4 36] 8. 75 | 4. 85

61

30 | 5.201] 3. 00] 6. 06 | 3. 50 | 6. 93 | 4. 00 | 7. 79 |4 50 | 8. 66 | 5. 00

60

31 | 5.141] 3.09] 6. 00 | 3.61 | 6. 86} 4. 12 | 7. 71! 4 64] 8 57! 5.15

59

32 | 5.09 | 3.18] 5.94] 3. 71) 6. 78 | 4. 241 7. 63 | 4. 77) 8. 48 | 5. 30

58

Sone Ds Osis. 20 | 5: Sieids Gla kos

O)| efron ase OON Reser On| none.

57

34 | 4 97| 3. 36] 5. 80] 3. 91 | 6. 63 | 4 47] 7. 46 | 5. 03 | 8. 29} 5. 59

56

35 | 4.91) 3.44] 5. 73) 4 02/6. 55| 4 59] 7. 37) 5.16) 8.19] 5. 74

55

36 | 4 85] 3. 531 5. 66) 4 11) 6.47) 4 70) 7. 28 | 5. 29] 8. 09] 5. 88

54

37 «6|4.79] 3.61] 5.59] 4. 21] 6. 39 |4 81] 7. 19 | 5. 42 |7. 99 | 6. 02

53

38 | 4. 73} 3.69 | 5.52) 4 31/6. 30] 4 93] 7.09] 5. 54) 7. 88] 6. 16

52

39 | 4.66] 3. 78] 5. 44] 4. 41 |6 22] 5.03] 6. 99) 5. 66] 7. 77 | 6. 29

51

40 | 4.60] 3. 86] 5.36) 4 50] 6.13] 5. 14] 6.89] 5. 79 | 7. 66 | 6. 43

50

Al 4, 53 | 3.94] 5.28) 4. 59 | 6. 04] 5. 25] 6. 79 | 5. 90] 7. 55 | 6. 56

49

42 |4.46{ 4. 01 | 5. 20] 4. 68] 5. 95] 5. 35] 6. 69 | 6. 02 | 7. 43 | 6. 69

48

43 | 4.39) 4.09] 5.12) 4 77] 5.85] 5. 46] 6 5816. 14] 7. 31 | 6. 82

47

44 |4,32|)4.17| 5.04)| 4 86] 5. 75] 5. 56] 6. 47/6. 25] 7.19 |6. 95

46

45 |4. 24 |4.24) 4.95] 4. 95 | 5. 66 | 5. 66 | 6. 36 | 6. 36 |7. 07 |7. 07

45

Course|
Be
Dist

?

l

6

ie l eA

p

l

8

p

L

9

P

L

10

aoe
a
Dist

To find 7 and p for 36’ on course 20°:

For 30’ /=28. 20

p=10. 30

Bor 16’ [= 5164

p= 2.05

For 36’ 1=33. 84

A— ens

Should the course exceed 90° proceed as follows:

For courses 90° to 180° use 180° minus the course.

For courses 180° to 270° use course minus 180°.

For courses 270° to 360° use 360° minus the course.

O

