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the big one
2024-08-27 21:48:20 -05:00
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.
——_—$<— |
|
|
J
_——_—_—— | $$ ——
|
|
Ef
_
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
8 9
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
OSSOOO COSOOSS
CVVHRKASSKHKOBRHNPESSS BNENENBNEN
DHONI DHHMH CHMNG
COC
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
OOOO
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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BHGaGdGs RRRHH SRBAARBSSRSo4Se)SSO
ASAMHOONNA BAAN a2
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H#Hooseos
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SASSSESSSSS BHPOEHBBES~qH QNHONAABAOHnOORNAHM
SSOSOSS SCSSSS OS9S999 HOSSSS SASAGABNSNR sSoSdSsSG SSSSSSSSdES5 SI"EBIBEBSSSATqeS)B
anne AAA
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HAMHIKNHHOOS WKiKnKeNSADONCMSN SNE PHAiOSASNOYS HWiAdiAdiNdid AWNaiYwWiOwiMnt AHoWaOeMeOds WAAONOA
SAOAAAAAYND OSAOA
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Ta
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D1AD1.D 1D. 1) MOCO
ADADD AD NNN
AD
AD UCD UCD ACD AD SHANNA
MD
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BRR eeae ee Bh ee
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ONcInBO16VNS CSMaSwAwMiMipnwcwedw MONBDSS M M OOAHRIATNM9AIAOYIOrrOONRTQNaWNiMTMcOOOAScgAMNONnoN WDSOwMDHAdOMNWSHWMOAMSOOMMOMAHIOMOOMDNOSOAMARIrMGSDNDrmASN
HOOMKaMeNnEAMGMWMiHMdHEiNgdEitnMdidd Hoi
RDO cH ANHeMOeBKNRV1E®AS9GSAC1RMMEiiS9MdsDEii1MdwiCi5sAiiGds 1Dis919
CORMaMMOMEN SONeOMMN Ko1M1HH VMM STSI 191915
M E
r r
————
|
i910
ROMHEGAAMNAHAGNNEMHSMBMCHA1M9aN~AGNS
QHNMBHMBHOMHAHMNIMSAHMNHiMHpMAANA
HMHMOMHHCWMHDOMHHMAAMSNMOMiNHbMHMH
DWOMHOMENO1ND ODKO DMHOOFNOORYDXANGA B O
O DE D ODHDMCOMOHDEMMODHMAMMSDMSEAMDSOSDGD
ODED HOMDMOAABOHMMOAMODEMAHGMSBIDMGAMBSBAGD
S MHOMOEHCRMODHSMSE AOMSMSOSEMORMSOSMSSS
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OAsOle
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KepOkpeel Fier:ee ne ate (=e) ieerel Ret©e)
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
WDDNDOD
HOOA2AWD
ADGDOCO Soeso
CCC saints
FNnNRTNANANANNN
ete
ANN es
MMMM ANN
AMAA AANA
WH19191D 1919010 0O OOWOOr SNe Ne NAN es ANA eS
CHOC CA CD MMC MA MMM
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
HHH MAOM D CIO
WH191919019 191DOD OOM OOOOr CHOD CICA OD CD CDCCI D CO CD CM CY CD CD
E BON AA WOR AS AWN A SAWN HONIG NNHONG WN YO YPROQS yA HOH GrAMQKO QA OYA
I~
Err WOD DNDDADM AAMODDM OQOCOS Ors
FWHRNANNAN ANNO
AMON oH ees
19 19 191019 191C9 O C0OCO COC CO O IP
re
SSH
OS SSS
OO
109919191 19. 1.9.19.19 1.9 19 19.19.Ds 1.99.19 19 19 1D 1) 1) 1. 19
wd WD UD
WDADD AD AD 1D 19 AD 1D wD 19) 1D 1.9 1.9
ENNNANN NANNNAN ANNAN
ANNAN
ANNAN
ANNNN
ANNNN
AQANNNN ANNNN
ANANNNN ANANNNN ANNAN
a | ai SQA WNASA QM WS Ayn SMIGOG MOM egIQ ODN QOQNA QWOOA regwOQOQ AIQHO Arya
(de)
rr ODND DNDNADAWDDOD
COOCCOO Fenn
TNNNN
ANAND
MNO
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1D 191919019 1D OOOO cOoOr-r-tf
=
AMMA
CONC
MMOD
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Hdd
Hdd
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VSS
SYS HS SHH oH
HNANNANN NANNN
ANNAN
ANNAN
ANNAN
ANANNN
ANNNN
ANNQNNN ANNNN
ANANQNN ANQNNQNN AQANNNSA
a | p@Q@QSNMQ MMO WDNWSH BMOQHS HMHOH CAMO WAAMQH QYAAD WONAY AVONA AATONM AON
IVen) re
EODDND ANNAN
DDNADD ANANNNN
AADSS ANANNMHM
ODOC ON Fenn DWM MNMMN MMNMMN
ANNAN MCDM
ANNO
OCH
MOCO OD CIO CCID
HH HHO CAM COO
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
ANNAN
ANNAN
ee | wQMIBQWO NOH QOS MOWAN HQYOHA ABWOHY AHA NAGNY OHA’ WAeNAe qAweng oawer
=H
DNDDHD DAAMWMD AROOS
COCOON Fenn
ANNNN
AMMO
MOM
HH H19N19 19190190 1ND CODOO
hee
re
Seas
Aan
ARNNN
ANNANNN ANNAN
ANNNANN ANNAN
ANNAN
ANNAN
NANNNANNNNN
ANNAN
HANANNANN NANNN ANNAN ANANN ANNAN ANNNN ANNANN ANNQNNN ANAQNN ANQNQNN ANNAN ANNAN
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
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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
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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
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84. 7
10
11
84, 2
11
12
83. 7
1172
13
5
Soe,
13
14
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By, 7/
14
15
5
S22
15
16
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81. 7
16
17
5
81. 2
17
18
1
80. 7
18
19
6
80. 2
19
20
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79.7 20
21
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79. 2
21
22
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78. 7
22
2234
a “il
e77s.833
2234
25
8 |
77.3 25
26
A |
76. 9
26
27.
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76. 4
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2289
Lt&i |
7765.. 05
2289
30
cal
75. 1 30
31
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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
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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
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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
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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
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b
°
°
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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
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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
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38649
40 | 56.4
14
15
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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
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33829
51 | 48. 2
19
20
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32851
54 | 46. 8
20
21
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31877
57 | 45.4
21
22
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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
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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
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72°
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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
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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°
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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
:
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50 | 13 47.0} 51 , 13 19.2 52 | 12 52.0
53 | 12 25.5
54 | 11 59.6
55 | 11 34.2
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59 | 9 57.8
i
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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
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4 By’ 30 As) ih
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4 . 0 0 4 2
10306 | 211 | 21.8
9765 | 221 | 21.5
9242 | 230
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8736 | 240
. 9
8246 | 250
Ee
7773 | 261
. 5
7315 | 272
4
6871 | 283
0
6445 | 295
8
6033 | 308
6
a
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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
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192 | 21.1
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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
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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)
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23
40
7.34 4 28.9
38935
40
4.9
24
43
714 4 16.8
37283
43
Ab 9
25
47
6.87 4 5.6 35705
47
4.6
26
51
6.6 4 3 55.1
34194
50
4,4
27
55
6.4 1 3 45.3
32746
54 4.3
28
59
6.24 3 36.2
31356
58
Awl
29
63
6.07 3 27.6
30025
63
4.0
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
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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
eSoeaweCeeet
Taste II]—d+0b6
m|o~ sroH ooa]bo— ior)
c|o~taren
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. |
:
_23014 |||||3333300000001008103513769 |||222333888 |||| 2222288888877771957365342
| ||:
_65789 |||||2222299909999097500220748 |||||222223333366777 ||||| 2222288888766661496218097
|:|:
1111112304|||||2222299999888874628913058 ||||222233336555 ||||| 2222288888555652840636745
|| 27: : :
1111186795 |||||2222299999777767531965320 |||||222223333333444 ||||| 2222288888454448604111209
| ! |
2222220413, |||||2222299999665666084227584 |||||222223333323222 ||||| 2222288888333339317586587
| |
2“226227589 |||||2222299999555446319719865
|||||222223333311100
||||| 2222288888222225319733254
| 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
Ee
|| 2266338790
2255224245 |[117711 || 11..00|} 6509
||| 222666333135110
|| 222555211086689 |||111777000 || |11..00|]_.9 |555768
|| 222666222957233
||1222555111153302 |||111766099 ||| ...999||| 555534
| 2266221354
| 2255007964 ||116699 | .|_9.|9| 5512
||| 222666111975567
|[| 222555000532790 |||111666888 ||| ...888||| 445908
|| 2266111387
|12254090813 ||116677 | .|_8.|8| 4467
|| 2266009799
|| 2244994664 |[116677 || ..78|| 4445
||| 222666000462102
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
| |
2222222222223228705392669
|||||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
1) |) Si
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
O(111552N12600410}) 133h | e.222s| c1i2s
ISL7SNee seieezl| Le
1i15511563 || 22| (22.21)|| 8¥9
1514000) Scien ia
151270 |5 .2nleeG
11W5A10S2 | e4{y| c.1|ell4
ei50S9) 0) Te) eaules
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
a2) ||116 apd ake 74 {|118% 2) ||UP 4d I
Lo 22 oO PLR ab ¥/ BG
sls ali | ery: ll 3 Of, 2 AO al FOLIO
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)
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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.
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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99999333338888898876 |||||11111000008877714936 ||;||99999333335555553342
2222212304
99999333338888856544 |||||11111000006676547029 |||||99999333335555411290
2222256789°
99999333338888811332 |||||11111000005544563750 |||||99999333334444498876
3333301234
99999333338877709089 |||||11111000004333321396 |||||99999333334444465534
3333356798
99999333337777787566 |||||11111000002222158027 |||||99999333334444413220
4444410234.
99999333337777753434 |||||11111000001100014963 |||||99999333333343399708
4444456789
99999333337777721100 |||||00001999909998028059 |||||99999333333333376554
5555510234.
99999333336666699877 |||||00000999998887717468 |||||99999333333333332124
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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