B 50529 1
H. O. No. 200
ALTITUDE, AZIMUTH,
and LINE OF POSITION
COMPRISING TABLES FOR WORKING SIGHT OF HEAVENLY
BODY FOR LINE OF POSITION BY THE COSINE-HAVERSINE
FORMULA MARCO SAINT HILAIRE METHOD
AND ALSO
AQUINO'S ALTITUDE AND AZIMUTH TABLES FOR
LINE OF POSITION, MARCO SAINT HILAIRE METHOD
i * { * 』 ༄、,
Example on inside of cover
Table
CONTENTS
1. Correction to Observed Altitude of Sun, Star, or Planet
Table II. Correction to Observed Altitude of Moon, upper limb, lower limb
Table III. Logarithmic Sines and Logarithmie Cosines
Table IV. Logarithmic
Haversines and Natural Halm
V. The Finding of the Azimuths
tation of Aquino Method
xplanation
PAGE
27
50
155
185
185
318
Table will. Change of Azimuth per Minute of Alutude- * .
319
Table V. Aqumo's Spherical Traverse Table
Table VII Change of Altitude per Minute of Arc of Hour Angle
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1917
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}

VK
563
Иб
1917
Table I
Corr. to
Obs'd Alt.
of Sun,
Star, or
Planet.

Table II
Corr. to
Obs'd Alt.
of Moon.
Table III
Log. Sin.
and
Log. Cos.
Table I
Corr. to
Obs'd Alt.
of Sun,
Star, or
Planet.

Table II
Corr. to
Obs'd Alt.
of Moon.
Table III
Log. Sin.
and
Log. Cos.
:
EXAMPLE: At sea, January 15, 1916, about 8.30 a. m., in Lat. by D. R. 30° 10' N., Long. by D. R. 45° 15′ W.,
the sextant altitude of the sun's lower limb, bearing southward and eastward, was 17° 40′ 50″. Index correc-
tion+1'00". Height of eye, 29 feet. Watch time, 8h 30m 108; C.-W. 3h 02m 40°. Chronometer slow of G. M. T.,
7m 10s. Required: The altitude difference and the azimuth for laying down the line of position from the D. R.
position.
Formula: hav z=hav (L~d)+cos L cos d hav t
=hav (L~d)+hav →
W. T.
C.-W.
C. T.
Times.
8h 30m 108
3 02 40
11 32 50
C. C.
+
7 10
G. M. T.
14th Jan.
23 40 00
Declination.
H. D.
Jan. 15.
Corr. S.
G. M. noon, S. 21° 18′.9
noon, s
S. 21° 1
N. 0'.4
0.1 G. M. T. -
0.1
Eq. of T.
(-) to M. T.
Corr. -.3
S. 21 19.0 Corr. S.
Ph
log hav=9. 19815a
→ nat hav= .15782
nat hay= .18863
H. D.
9m 11$.4 + 0º. 9
9-11.1 Corr. 0.3
Altitude.
By obs. 17° 40′ 50″
Index corr.+ 1 00
Tab. I + 8 09
h 17 49 59
Azimuth S. 51° E. from
Table V [as explained
in the preface to that
table].
or 15th Jan.- 0 20 00
G. M. T.
Long. W.
23 40 00
SOLUTION.
t= 3h 30m 11.1
L=N. 30° 10′.0
d=S. 21 19.0
log hav=9. 29213
log cos=9.93680
log cos-9.96922
3 01 00
L. M. T.
Eq. of T.
20 39 00
9 11.1
L~d=
51° 29'.0
L. A. T.
20 29 48.9
t= 3 30 11.1
2= 72 06
Calculated h= 17 53
Observed h
49
17
5585
55
nat hav.34645
05
59
Alt. diff.
3' 06=3.1
a Since logarithmic haversines and natural haversines are set down side by side in Table IV, the natural haversine may be found from
the logarithmic haversine without taking out the value of the corresponding angle.
EXAMPLE: At sea, August 18, 1916, in the early morning, in Lat, by D. R. 34° 10' S., Long. by D. R. 172° 26' 30′
E., the sextant altitude of the star Sirius, bearing eastward, was 25° 48′ 50″. Index correction +3' 10". Height
of eye 40 feet. Watch time of observation, 4h 30m 15s. C.-W., 0h 29m 45º. Chronometer fast of G. M. T., 13m 40s.
Required: The altitude difference and the azimuth for laying down the line of position from the D. R. position.
W. T.
C.-W.
C. T.
C. C.
G. M. T.
17th Aug.
R. A. M.S.
Times.
4h 30m 15
0 29 45
5 00 00
13 40
[From Nautical Almanac.]
R. A. Star.
Aug. 1d 0b-6h 41m 278. 8
Sept. 1 06 41 28.6
Aug. 17d 5-6 41 28.2
SOLUTION.
Dec. star.
S. 16° 35'.9
16 35.8
16 35.8
log hav-9. 52381
log cos=9.91772
log cos-9. 98152
Olog hav=9. 42303 a
}
4 46 20
9 42 54. 5
t=
L=S.
d=S.
4h 42m 278.7
34° 10.0
16 35.8
G. S. T.
Long. E.
14 29 14. 5
11 29 46
L. S. T.
R. A. star
1 59 00.5
6 41 28. 2
L~d=
17° 34'. 2
Onat hav=0. 26487
nat hav=0.02333
2
t= 4 42 27.7
Calculated h=
Observed h✶
64° 56′ 15″
25 03 45
25 43 48
nat hav=0. 28820
R. A. mean sun.
Aug. 17d 0b-9h 42m 078.5
Reduction
for G.M.T.
0 47.0
R. A. M. S. 9 42 54. 5
Altitude.
By obš. 25° 48′ 50″
Index corr. + 3 10
Table I
25 52 00
8 12
h*25 43 48
Azimuth S. 86° E. from
Table V [as explained
in the preface to that
Alt. diff.
40′ 03″=40′. 05
table].
Table I
}
".
?
>
f
Corr. to
Obs'd Alt.
of Sun,
Star, or
Planet.
"

Table II
Corr. to
Obs'& Alt.
of Moon.
TABLE I
CORRECTIONS TO BE APPLIED TO
THE OBSERVED ALTITUDE OF THE
SUN'S LOWER LIMB, OR OF A
STAR OR PLANET
Table III
Log. Sin.
and
Log. Cos.
3
1

Page 4]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude.

HEIGHT OF THE EYE.

8 Feet.
9 Feet.
10 Feet.
11 Feet.
12 Feet.
13 Feet.
OBS. ALT.
O
*
Sun's
Star's
Sun's
Star's
Sun's
Corr.
Corr.
Corr.
Corr.
Corr.
Star's
Corr.
Sun's Star's
Sun's
Corr.
Corr.
Corr.
*
Star's
Corr.
*
Sun's Star's
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
6 30
5 29
10 40
40
5 39
10 30
стот
5 19
10 50
5 09
11 00
5229
10 40
5 19
10 50
50
5 49
10 20
5 39
10 30
5 29
10 40
7 00
5 59
10 10
5 49
10 20
539
10 30
10
6 08
10 01
5 58
10 11
5 48
10 21
20
6 17
952
6 07
10 02
5 57
10 12
- LO LO LO LO LO LO
//
500
11 09
4 51
11 18
4 43
5 10
10 59
5 01
11 08
4 53
5 20
10 49
5 11
10 58
503
5 30
10 39
5 21
10 48
5 13
===
11 26
11 16
11 06
10 56
5 39
10 30
5 30
10 39
5 22
10 47
5 48
10 21
5 39
10 30
5 31
10 38
7 30
6 26
9 43
6 16
9 53
6 06
10 03
5 57
10 12
548
10 21
540
10 29
40
6 34
9.35
6 24
9 45
6 14
9 55
6 05
10 04
5 56
10 13
5 48
10 21
50
6 42
9 27
6 32
9 37
6 22
9 47
6 13
956
6 04
10 05
5 56
10 13
800
6 50
9 19
6 40
9 29
6 30
9 39
6 21
9 48
6 12
9 57
6 04
10 05
10
6 57
9 12
6 47
9 22
6 37
9 32
6 28
9 41
6 19
950
6 11
958
20
7 04
9.05
6 54
9 15
6 44
9 25
6 35
9 34
6 26
9 43
6 18
9 51
8.30
7 11
858
7 01
9 08
6 51
9 18
6 42
9 27
6 33
9 36
6 25
9 44
40
7 18
851
7 08
9 01
658
9 11
6 49
9 20
6 40
9 29
6 32
9 37
50
7 24
845
7 14
855
7 04
9 05
6 55
9 14
646
9 23
638
9 31
9.00
7 30
8 39
7 20
8 49
7 10
8 59
7 01
9 08
6 52
9 17
6 44
9 25
20
7 42
8 27
7 32
8 37
7 22
8 47
7 13
856
7 04
9 05
656
9 13
40
7 53
8 16
7 43
8 26
7 33
8 36
7 24
8 45
7 15
8 54
7 07
9 02
10 00
8 04
8 05
7 54
8 15
7 44
8 25
7 35
8 34
7 26
843
7 18
8 51
20
8 14
7 55
8 04
805
7 54
8 15
7 45
8 24
7 36
833
7 28
8 41
40
8 23
7 46
8 13
7 56
803
8 06
7 54
8 15
7 45
8 24
7 37
8 32
11 00
8 32
7 37
8 22
7 47
8 12
7 57
8 03
806
7 54
8 15
7 46
8 23
30
8 44
7 25
8 34
7 35
8 24
7 45
815
7 54
806
8 03
7 58
8 11
12 00
8 55
7 14
8 45
7 24
835
7 34
826
7 43
8 17
752
8 09
8.00
13 00
88880
30
9.06
7 03
8 56
7 13
8 46
7 23
8 37
7 32
828
7 41
8 20
7 49
9 16
653
9 06
7 03
8 56
7 13
847
7 22
838
7 31
8 30
7 39
30
9 25
6 44
9 15
6 54
905
7 04
8 56
7 13
847
7 22
8 39
7 30
14 00
9 33
6 36
9 23
6 46
9 13
656
9 04
7 05
855
7 14
8 47
7 22
15 00
9 49
6 20
9 39
6 30
9 29
6 40
9 20
6 49
9 11
6 58
9.03
7 06
16 00 10 02
6 07
9 52
6 17
9 42
6 27
9 33
6 36
9 24
6 45
9 16
653
17.00
10 15
5 54
10 05
6 04
955
6 14
9 46
6 23
9 37
6 32
9 29
6 40
18 00
10 25
544
10 15
5 54
10 05
6 04
956
6 13
9 47
6 22
9 39
6 30
19 00
10 35
534
10 25
5 44
10 15
5 54
10 06
6 03
9 57
6 12
9 49
5 20
20.00
10 43
525
10 33
5 35
10 23
5 45
10 14
5 54
10 05
6 03
9 57
6 11
22.00
10 59
5 09
10 49
5 19
10 39
5 29
10 30
538
10 21
5 47
10 13
5 55
24 00
11 12
4 56
11 02
5 06
10.52
5 16
10 43
5 25
10 34
5 34
10 26
5 42
26 00 11 23
4 45
11 13
4 55
11 03
5 05
10 54
5 14
10 45
5 23
10 37
5 31
28 00
11 33
4 35
11 23
4 45
11 13
4 55
11 04
5 04
10 55
5 13
10 47
5 21
30 00
11 41
4 27
11 31
4 37
11 21
4 47
11 12
4 56
11 03
505
10.55
5 13
32.00
11 49
4 19
11 39
4 29
11 29
4 39
11 20
4 48
11 11
4 57
11 03
5 05
34 00 11 56
4 12
11 46
4 22
11 36
4 32
11 27
4 41
11 18
4 50
11 10
4 58
36 00 12 02
4 06
11 52
4 16
11 42
4 26
11 33
4 35
11 24
4 44
11 16
4 52
38 00 12 07
4 01
11 57
4 11
11 47
4 21
11 38
4 30
11 29
4 39
11 21
4 47
40 00 12 12
3 55
12 02
4 05
1152
4 15
11 43
4 24
11 34
4 33
11 26
4 41
45 00 12 23
3 44
12 13
3 54
12 03
4 04
11 54
4 13
11 45
4 22
11 37
4 30
50 00 12 31
3 35
12 21
3 45
12 11
3 55
12 02
4 04
11 53
4 13
11 45
4 21
55 00
12 38
3 27
12 28
3 37
12 18
3 47
12 09
3 56
12 00
4 05
11 52
4 13
60 00
12 44
3 20
12 34
3 30
12 24
3 40
12 15
3 49
12 06
358
11 58
4 06
65 00
12 51
3 13
12 41
3 23
12 31
3 33
12 22
3 42
12 13
3 51
12.05
3 59
70 00
12 56
3 07
12 46
3 17
12 36
3 27
12 27
3 36
12 18
3 45
12 10
3 53
75.00
13.00
3 02
12 50
3 12
12 40
3 22
12 31
3 31
12 22
3 40
12 14
3 48
80.00
13 06
256
12 56
3 06
12 46
3 16
12 37
3 25
12 28
3 34
12 20
3 42
85 00 13 10
2 51
13.00
3 01
12 50
3 11
12 41
3 20
12 32
3 29
12 24
3 37
90 00 13 14
2 46
13 04
256
12 54
3 06
12 45
3 15
12 36
3 24
12 28
3 32
Day of month.
Jan.
Feb. Mar.
Apr. May. June. July. Aug.
Aug. Sept.
Oct.
Oct. Nov.
Dec.
ADDITIONAL CORR.
FOR SUN'S ALT.
//
"
"
//
//
"
+3 +11 +16
+7 +14 +18
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken at 16'. A supplementary correction
1st to 15th...+18 +15 +8 0
-13-14-11 -5
16th to 31st..+17 +12 +4 4 11 -14 -13 9 -1
8
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

TABLE I.
[Page 5
Corrections to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude--Continued.
HEIGHT OF THE EYE.
14 Feet.
15 Feet.
16 Feet.
17 Feet.
18 Feet.
19 Feet.
OBS. ALT.
*
O
*
Sun's
Star's
Sun's Star's
Sun's
Star's
Corr.
(+)
Corr.
Corr.
Corr.
Corr.
Corr.
Sun's Star's Sun's Star's
Corr. Corr. Corr.
Corr.
Sun's Star's
Corr.
Corr.
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
"
"/
"/
"
6 30
4 35
11 34
4 27
11 42
4 20
11 49
4 13
11 56
4 06
12 03
3 59
12 10
40
4 45
11 24
4 37
11 32
4 30
11 39
4 23
11 46
4 16
11 53
4 09
12 00
Table II
Corr. to
Obs'd Alt.
50
4 55
11 14
4 47
11 22
4 40
11 29
4 33
11 36
4 26
11 43
4 19
11 50
of Moon.
7 00
5 05
11 04
4 57
11 12
4 50
11 19
4 43
11 26
4 36
11 33
4 29
11 40
10
5 14
10 55
5 06
11 03
4 59
11 10
4 52
11 17
4 45
11 24
4 38
11 31
20
5 23
10 46
5 15
10 54
5 08
11 01
5 01
11 08
4 54
11 15
4 47
11 22
7 30
5 32
10 37
5 24
10 45
5 17
10 52
5 10
10 59
5 03
11 06
4 56
11 13
40
5 40
10 29
5 32
10 37
5 25
10 44
5 18
10 51
5 11
10 58
5 04
11 05
50
5 48
10 21
540
10 29
5 33
10 36
5 26
10 43
5 19
10 50
5 12
10 57
800
5 56
10 13
548
10 21
5 41
10 28
5 34
10 35
5 27
10 42
5 20
10 49
10
6 03
10 06
5 55
10 14
548
10 21
5 41
10 28
5 34
10 35
5 27
10 42
Table III
20
6 10
9 59
6 02
10 07
555
10 14
548
10 21
5 41
10 28
5 34
10 35
8 30
6 17
952
6 09
10 00
6 02
10 07
5 55
10 14
5 48
10 21
5 41
10 28
Log. Sin.
40
6 24
9 45
6 16
9 53
6 09
10 00
6 02
10 07
5255
10 14
5 48
10 21
and
50
6 30
9 39
6 22
9 47
6 15
9 54
6 08
10 01
6 01
10 08
5 54
10 15
Log. Cos.
9 00
6 36
9 33
6 28
9 41
6 21
9 48
6 14
9 55
6 07
10 02
6.00
10 09
20
6 48
9 21
6 40
9 29
6 33
9 36
6 26
9 43
6 19
9 50
6 12
9 57
40
6 59
9 10
6 51
9 18
6 44
9 25
6 37
9 32
630
9 39
6 23
9 46

10 00
7 10
8 59
7 02
9 07
6 55
9 14
6 48
9 21
6 41
9 28
6 34
9 35
20
7 20
8 49
7 12
857
7 05
9 04
6 58
9 11
6 51
9 18
6 44
9 25
40
7 29
8 40
7 21
8 48
7 14
855
7 07
9 02
7 00
9 09
6253
9 16
11 00
7 38
8 31
7 30
8 39
7 23
8 46
7 16
853
7 09
9.00
7 02
9 07
30
750
8 19
7 42
8 27
7 35
8 34
7 28
8 41
7 21
8 48
7 14
8 55
12.00
8 01
808
7 53
8 16
7 46
8 23
7 39
8 30
7 32
8 37
7 25
8 44
30
8 12
7 57
8 04
8 05
7 57
8 12
750
8 19
7 43
8 26
7 36
8 33
13 00
8 22
7 47
814
7 55
8 07
8 02
8.00
8 09
7 53
816
7 46
8 23
30
8 31
7 38
8 23
7 46
8 16
7 53
8 09
8.00
8 02
8 07
755
8 14
14 00
8 39
7 30
8 31
7 38
8 24
7 45
8 17
7 52
8 10
7 59
8 03
8 06
15 00
855
7 14
8 47
7 22
840
7 29
833
7 36
8 26
7 43
8 19
7 50
16 00
9 08
7 01
9 00
7 09
853
7 16
8 46
7 23
8 39
7 30
8 32
7 37
17 00
9 21
6 48
9 13
6 56
9 06
7 03
8 59
7 10
8 52
7 17
8 45
7 24
18 00
9 31
6 38
9 23
6 46
9 16
6 53
9 09
7 00
9 02
7 07
855
7 14
19 00
9 41
6 28
9 33
6 36
9 26
643
9 19
6 50
9 12
6 57
9 05
7 04
20 00
9 49
6 19
9 41
6 27
9 34
6 34
9 27
6 41
9 20
6 48
9 13
6 55
22 00
10 05
6 03
9 57
6 11
9 50
6 18
9 43
6 25
936
6 32
9 29
6 39
24 00
10 18
550
10 10
5 58.10 03
6 05
9 56
6 12
9 49
6 19
9 42
6 26
26 00
10 29
5 39
10 21
5 47
10 14
5 54
10 07
6 01
10 00
6 08
9 53
6 15
28.00
10 39
5 29
10 31
5 37
10 24
5 44
10 17
5 51
10 10
558
10 03
6 05
30 00
10 47
5 21
10 39
5 29
10 32
5 36
10 25
5 43
10 18
5 50
10 11
5 57
32 00
10 55
5 13
10 47
5 21
10 40
5 28
10 33
5 35
10 26
5 42
10 19
5 49
34 00
11 02
5 06
10 54
5 14
10 47
5 21
10 40
5 28
10 33
535
10 26
5 42
36 00
11 08
5 00
11 00
5 08
10 53
5 15
10 46
5 22
10 39
5 29
10 32
536
38 00
11 13
4 55
11 05
5 03
10 58
5 10
10 51
5 17
10 44
5 24
10 37
5 31
40 00
11 18
4 49
11 10
4 57
11 03
5 04
10 56
5 11
10 49
5 18
10 42
5 25
45 00 11 29
4 38
11 21
4 46
11 14
4 53
11 07
5 00
11 00
5 07
10 53
5 14
50 00 11 37
4 29
11 29
4 37
11 22
4 44
11 15
4 51
11 08
4 58
11 01
5 05
55 00
11 44
4 21
11 36
4 29
11 29
4 36
11 22
4 43
11 15
4 50
11 08
4 57
60 00 11 50
4 14
11 42
4 22
11 35
4 29
11 28
4 36
11 21
4 43
11 14
4 50
65 00
11 57
4 07
11 49
4 15
11 42
4 22
11 35
4 29
11 28
4 36
11 21
4 43
70 00
12 02
4 01
11 54
4 09
11 47
4 16
11 40
4 23
11 33
4 30
11 26
4 37
75.00
12.06
3 56
11 58
4 04
11 51
4 11
11 44
4 18
11 37
4 25
11 30
4 32
80 00
12 12
350
12 04
3 58 11 57
4 05
11 50
4 12
11 43
4 19
11 36
4 26
85 00
12 16
90 00 12 20
3 45 12 08
3 40 12 12
3 53 12 01
3 48 12 05
4 00
3 55
11 54
11 58
4 07
11 47
4 14
11 40
4 21
4 02
11 51
4 09
11 44
4 16
Day of Month.
Jan.
Feb. Mar. Apr. May. June.
Apr. May. June. July. Aug. Sept.
Sept.
Oct.
Oct. Nov. Dec.
ADDITIONAL CORR.
FOR SUN'S ALT.
"/
"
"
??
"
"
"
1st to 15th... +18+15 | +8
16th to 31st...+17 +12 | +4
0
-4
-8 -13-14-11 -5
-11-14 -13
-1
9
+3 +11 +16
+7 +14 +18
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

Page 6]
TABLE I.
Corrections to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
20 Feet.
21 Feet.
22 Feet.
23 Feet.
24 Feet.
25 Feet.
OBS. ALT.
*
*
*
Sun's
Star's
Sun's
Corr.
Corr.
Corr.
(+)
(-)
(+)
Sun's
Star's
Corr. Corr.
(-) (+)
Star's Sun's Star's
Corr. Corr. Corr.
(-) (+)
(-)
(+)
*
Sun's Star's
Corr. Corr.
(-) (+)
Sun's
Corr.
Star's

Corr.
(-)
"
=
"
"
"
6 30
352
12 17
3 46
12 23
3 39
12 30
3 33
12 36
3 27
12 42
3 21
12 48
40
4 .2
12 07
356
12 13
3 49
12 20
3 43
12 26
3 37
12 32
3 31
12 38
50
4 12
11 57
4 06
12 03
3 59
12 10
3 53
12 16
3 47
12 22
3 41
12 28
7.00
4 22
11 47
4 16
11 53
4 09
12 00
4 03
12 06
357
12 12
3 51
12 18
10
4 31
11 38
4 25
11 44
4 18
11 51
4 12
11 57
4 06
12 03
4. 00
12 09
20
4 40
11 29
4 34
11 35
4 27
11 42
4 21
11 48
4 15
11 54
4 09
12.00
7 30
4 49
11 20
4 43
11 26
4 36
11 33
4 30
11 39
4 24
11 45
4 18
11 51
40
4 57
11 12
4 51
11 18
4 44
11 25
4 38
11 31
4 32
11 37
4 26
11 43
50
5 05
11 04
4 59
11 10
4 52
11 17
4 46
11 23
4 40
11 29
4 34
11 35
8.00
5 13
10 56
5 07
11 02
5 00
11 09
4 54
11 15
4 48
11 21
4 42
11 27
10
5 20
10 49
5 14
10 55
5 07
11 02
5 01
11 08
4 55
11 14
4 49
11 20
20
5 27
10 42
5 21
10 48
5 14
1055
5 08
11 01
5 02
11 07
4 56
11 13
830
5 34
10 35
5 28
10 41
5 21
10 48
5 15
10 54
5 09
11.00
5 03
11 06
40
5 41
10 28
5 35
10 34
5 28
10 41
5 22
10 47
5 16
10 53
5 10
10 59
50
5 47
10 22
5 41
10 28
5 34
10 35
528
10 41
5 22
10 47
5 16
10 53
9.00
5 53
10 16
5 47
10 22
5 40
10 29
5 34
10 35
528
10 41
5 22
10 47
20
6 05
10 04
5 59
10 10
5 52
10 17
5 46
10 23
5 40
10 29
5 34
10 35
40
616
9 53
6 10
9 59
6 03
10 06
557
10 12
551
10 18
5 45
10 24
10 00
6 27
9 42
6 21
9 48
6 14
955
6 08
10 01
602
10 07
5 56
10 13
20
6 37
932
6 31
9 38
6 24
9 45
6 18
9 51
6 12
957
6 06
10 03
40
6 46
9 23
640
9 29
633
9 36
6 27
9 42
6 21
9 48
6 15
9 54
11 00
6 55
9 14
6 49
9 20
6 42
9 27
6 36
933
6 30
9 39
6 24
9 45
30
7 07
9 02
7 01
9 08
6 54
9 15
6 48
9 21
6 42
9 27
6 36
9 33
12 00
7 18
8 51
7 12
8 57
7 05
9 04
659
9 10
653
9 16
6 47
9 22
30
7 29
840
7 23
846
7 16
853
7 10
8 59
7 04
9 05
6 58
9 11
13 00
7 39
830
7 33
8 36
7 26
8 43
7 20
8 49
7 14
855
7 08
9 01
30
7 48
8 21
7 42
8 27
7 35
834
7 29
840
7 23
8 46
7 17
852
14 00
7 56
8 13
7 50
8 19
7 43
8 26
7 37
832
7 31
838
7 25
8 44
15 00
8 12
7 57
806
8 03
7 59
8 10
7 53
816
7 47
8 22
7 41
8 28
16 00
8 25
7 44
8 19
7 50
8 12
7 57
8 06
8 03
8.00
8 09
7 54
8 15
17 00
8 38
7 31
8 32
7 37
8 25
7 44
8 19
750
8 13
7 56
8 07
802
18 00
8 48
7 21
8 42
7 27
8 35
7 34
8 29
7 40
8 23
7 46
8 17
7 52
19 00
858
7 11
852
7 17
8 45
7 24
8 39
730
833
7 36
8 27
7 42
20.00
9 06
7 02
9.00
7 08
8 53
7 15
8 47
7 21
8 41
7 27
835
7 33
22 00
9 22
646
9 16
6 52
9 09
6 59
9 03
7 05
857
7 11
8 51
7 17
24 00
9 35
6 33
9 29
6 39
9 22
6 46
9 16
6 52
9 10
658
9 04
7 04
26 00
9 46
6 22
9 40
628
9 33
635
9 27
6 41
9 21
647
9 15
6 53
28.00
9 56
6 12
9.50
6 18
943
6 25
9 37
6 31
9 31
6 37
9 25
6 43
30.00
10 04
6 04
9 58
6 10
9 51
6 17
9 45
6 23
9 39
6 29
9 33
6 35
32.00
10 12
5 56
10 06
6 02
9 59
6 09
9 53
6 15
9 47
6 21
9 41
6 27
34 00
10 19
5 49
10 13
555
10 06
6 02
10 00
608
9 54
6 14
9 48
6 20
36 00
10 25
5 43
10 19
5 49
10 12
5 56
10 06
6 02
10 00
6 08
9 54
6 14
38 00
10 30
538
10 24
5 44
10 17
5 51
10 11
557
10 05
6 03
9 59
6 09
40 00
10 35
5 32
10 29
5 38
10 22
5 45
10 16
551
10 10
5 57
10 04
6 03
45 00
10 46
5 21
10 40
5 27
10 33
5 34
10 27
5 40
10 21
5 46
10 15
5 52
50 00
10 54
5 12
10 48
5 18
10 41
5 25
10 35
5 31
10 29
5 37
10 23
5 43
55 00
11 01
5 04
10 55
5 10
10 48
5 17
10 42
5 23
10 36
5 29
10 30
5 35
60 00
11 07
4 57
11 01
5 03
10 54
5 10
10 48
5 16
10 42
5 22
10 36
5 28
65 00
11 14
4 50
11 08
4 56
11 01
5 03
10 55
5 09
10 49
5 15
10 43
5 21
70.00
11 19
4 44
11 13
4 50
11 06
4 57
11 00
5 03
10 54
5 09
10 48
5 15
75 00
11 23 4 39
11 17
4 45
11 10
4 52
11 04
458
10 58
5 04
10 52
5 10
80 00
11 29
4 33
11 23
4 39
11 16
4 46
11 10
4 52
11 04
458
1058
5 04
85 00
11 33
4 28
11 27
90 00
11 37
4 23
11 31
4 34
4 29
11 20
11 24
4 41
4 36
11 14
11 18
4 47
11 08
453
11 02
4 59
4 42
11 12
4 48
11 06
4 54
Day of Month.
Jan. Feb. Mar. Apr. May. June. July. Aug. Sept. | Oct.
Nov. Dec.
ADDITIONAL CORR.
For SUN'S ALT.
"
"
"
"
"
"
"
"
"
"
1st to 15th....+18 +15
+18+15
++
+8
0
+4
-8
4-11
-
-13-14
-14 -13
-11
-5
+3 +11 +16
-1
16th to 31st...+17 +12
+7+14 +18
* The corrections for the obscrved altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

TABLE I.
[Page 7
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
26 Feet.
27 Feet.
28 Feet.
29 Feet.
30 Feet.
OBS. ALT.
*
*
*
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(--)
(+)
(-)
ལ
//
//
6 30
7 00
10
20
85885%.
3 15
12 54
3 09
13 00 3 04
13 05
2 58
13 11
2 53
13 16
40
3 25
12 44
3 19
12 50
3 14
12 55
308
13 01
3 03
13 06
Table II
Corr. to
Obs'd Alt.
50
335
12 34
3 29
12 40
3 24
12 45
3 18
1251
3 13
12 56
of Moon.
3 45
12 24
3 39
12 30
3 34
12 35
3 28
12 41
3 23
12 46
3 54
12 15
3 48
12 21
3 43
12 26
3 37
12 32
3 32
12 37
4 03
12 06
3 57
12 12
3952
12 17
3 46
12 23
3 41
12 28
7 30
4 12
11 57
4 06
12 03
4 01
12 08
355
12 14
3 50
12 19
40
4 20
11 49
4 14
11 55
4 09
12 00
4 03
12 06
358
12 11
50
4 28
11 41
4 22
11 47
4 17
11 52
4 11
11 58
4 06
12 03
800
4 36
11 33
4 30
11 39
4 25
11 44
4 19
11 50
4 14
11 55
10
4 43
11 26
4 37.
11 32
4 32
11 37
4 26
11 43
4 21
11 48
Table III
20
4 50
11 19
4 44
11 25
4 39
11 30
4 33
11 36
4 28
11 41
8 30
4 57
11 12
4 51
11 18
4 46
11 23
4 40
11 29
4 35
11 34
Log. Sin.
40
5 04
11 05
4 58
11 11
4 53
11 16
4 47
11 22
4 42
11 27
and
50
5 10
10 59
5 04
11 05
4 59
11 10
4 53
11 16
4 48
11 21
9 00
5 16
10 53
5 10
10 59
505
11 04
4259
11 10
4 54
11 15
Log. Cos.
20
528
10 41
5 22
10 47
5 17
1052
5 11
10 58
5 06
11 03
40
5 39
10 30
5 33
10 36
5 28
10 41
5 22
10 47
5 17
10 52

10 00
550
10 19
5 44
10 25
5 39
10 30
5 33
10 36
528
10 41
20
6 00
10 09
554
10 15
549
10 20
5 43
10 26
538
10 31
40
6 09
10 00
6 03
10 06
558
10 11
5 52
10 17
5 47
10 22
11 00
6 18
9 51
6 12
9 57
6 07
10 02
6 01
10 08
5 56
10 13
30
6 30
9 39
6 24
9 45
6 19
9 50
613
9 56
608
10 01
12 00
6 41
9 28
635
9 34
6 30
9 39
6 24
9 45
6 19
9 50
30
6252
9 17
646
9 23
6 41
9 28
635
9 34
630
9 39
13 00
7 02
9 07
6 56
9 13
6 51
9 18
6 45
9 24
640
9 29
30
7 11
858
7 05
9 04
7 00
9 09
6 54
9 15
6 49
9 20
14 00
7 19
8 50
7 13
8 56
7 08
9 01
7 02
9 07
6 57
9 12
15 00
7 35
8 34
7 29
840
7 24
8 45
7 18
8 51
7 13
856
16 00
7 48
8 21
7 42
8 27
7 37
832
7 31
838
7 26
8 43
17 00
8 01
8 08
7 55.
8 14
750
8 19
7 44
8 25
7 39
8 30
18 00
8 11
7 58
8 05
8 04
8 00
8 09
7 54
8 15
7 49
8 20
19 00
8 21
7 48
8 15
7 54
8 10
7 59
8 04
8 05
7 59
810
20 00
8 29
7 39
8 23
7 45
8 18
750
8 12
7 56
8 07
8 01
22.00
8 45
7 23
8 39
7 29
8 34
7 34
8 28
7 40
8 23
7 45
24 00
858
7 10
852
7 16
8 47
7 21
8 41
7 27
8 36
7 32
26 00
9 09
659
9 03
7 05
858
7 10
852
7 16
8 47
7 21
28.00
9 19
6 49
9 13
6 55
9 08
7 00
9 02
7 06
857
7 11
30 00
9 27
6 41
9 21
6 47
9 16
6 52
9 10
658
9 05
7 03
32 00
935
6 33
9 29
6 39
9 24
6 44
9 18
650
9 13
655
34 00
942
6 26
936
6 32
9 31
6 37
9 25
643
9 20
6 48
36 00
9 48
6 20
9 42
6 26
9 37
6 31
9 31
637
926
6 42
38 00
9 53
6 15
9 47
6 21
9 42
626
936
6 32
9 31
6 37
40 00
9 58
6 09
9 52
615
9 47
6 20
9 41
6 26
9 36
6 31
45 00
10 09
558
10 03
6 04
9 58
6 09
9 52
6 15
9 47
6 20
50 00
10 17
5 49
10 11
5 55
10 06
6 00
10 00
606
9 55
6 11
55 00
1024
5 41
10 18
5 47
10 13
552
10 07
5258
10 02
6903
60 00
10 30
5 34
10 24
5 40
10 19
5 45
10 13
5 51
10 08
556
65 00
10 37
5 27
10 31
5 33
10 26
538
10 20
5 44
10 15
5 49
70 00
10 42
5 21
10 36
5 27
10 31
5 32
10 25
538
10 20
5 43
75.00
10 46
5 16
10 40
5 22
10 35
5 27
10 29
533
10 24
5 38
80 00
10 52
5 10
10 46
516
10 41
5 21
10 35
5 27
10 30
532
85.00
10 56
5205
10 50
5 11
10 45
5 16
10 39
5 22
10 34
5 27
90 00
11 00
5 00
10 54
5 06
10 49
5 11
10 43
5 17
10 38
5 22
Day of Month.
Jan. Feb.
ADDITIONAL CORR.
//
FOR SUN'S ALT.
1st to 15th....+18+15
16th to 31st...+17 +12 +4
Mar. Apr. May. June. July. Aug. Sept. Oct. Nov. Dec.
+8 0 8-13-14 -11
-4
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mcan semidiameter, which is taken as 16'. A supplementary correction
"
//
-11 -14
J
-13
"/
//
//
-5 +3 +11 +16
9
-1
+7+14 +18
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

Page 8]
TABLE I.
Corrrections to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
31 Feet.
32 Feet.
33 Feet.
34 Feet.
35 Feet.
OBS. ALT.
*
*
*
*

Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-) (+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
"
"
"
"
"
"
6 30
2 48
13 21
2 42
13 27
2 37
13 32
2 32
13 37
2 27
13 42
40
2 58
13 11
2 52
13 17
2 47
13 22
2 42
13 27
237
13 32
50
3 08
13 01
3 02
13 07
257
13 12
2 52
13 17
2 47
13 22
7 00
3 18
12 51
3 12
12 57
3 07
13 02
3 02
13 07
257
13 12
10
3 27
12 42
3 21
12 48
3 16
12 53
3 11
12 58
3 06
13 03
20
336
12 33
3 30
12 39
3 25
12 44
3 20
12 49
3 15
1254
7 30
3 45
12 24
3 39
12 30
3 34
12 35
3 29
12 40
3 24
12 45
40
3 53
12 16
3 47
12 22
3 42
12 27
3 37
12 32
3 32
12 37
50
4 01
12 08
355
12 14
3 50
12 19
3 45
12 24
3 40
12 29
800
4 09
12 00
4 03
12 06
358
12 11
3 53
12 16
348
12 21
10
4 16
11 53
4 10
11 59
4 05
12 04
4 00
12 09
3 55
12 14
20
4 23
11 46
4 17
11 52
4 12
11 57
4 07
12 02
4 02
12 07
8 30
4 30
11 39
4 24
11 45
4 19
11 50
4 14
11 55
4 09
12.00
40
4 37
11 32
4 31
11 38
4 26
11 43
4 21
11 48
4 16
11 53
50
4 43
11 26
4 37
11 32
4 32
11 37
4 27
11 42
4 22
11 47
9 00
10.00
11 00
12.00
13 00
82982981818
4 49
11 20
4 43
11 26
4 38
11 31
4 33
11 36
4 28
11 41
20
5 01
11 08
4 55
11 14
4 50
11 19
4 45
11 24
4 40
11 29
40
5 12
10 57
5 06
11 03
5 01
11 08
4 56
11 13
4 51
11 18
5 23
10 46
5 17
10 52
5 12
10 57
5 07
11 02
5 02
11 07
20
5 33
10 36
5 27
10 42
5 22
10 47
5 17
10 52
5 12
10 57
40
542
10 27
5 36
10 33
5 31
10 38
5 26
10 43
5 21
10 48
5 51
10 18
5 45
10 24
5 40
10 29
535
10 34
5 30
10 39
30
6 03
10 06
5 57
10 12
552
10 17
5 47
10 22
5 42
10 27
6 14
9 55
6 08
10 01
6 03
10 06
5 58
10 11
5 53
10 16
30
6 25
9 44
6 19
9 50
6 14
9 55
6 09
10 00
6 04
10 05
6 35
9 34
6 29
9 40
6 24
9 45
6 19
9 50
6 14
9 55
30
6 44
9 25
6 38
9 31
6 33
9 36
6 28
9 41
6 23
9 46
14.00
6 52
9 17
6 46
9 23
6 41
9 28
636
9 33
6 31
9 38
15 00
7 08
9 01
7 02
9 07
6 57
9 12
6 52
9 17
6 47
9 22
16.00
7 21
8 48
7 15
8 54
7 10
859
705
9 04
7 00
9 09
17.00
7 34
835
7 28
8 41
7 23
8 46
7 18
8 51
7 13
856
18 00
7 44
8 25
7 38
8 31
7 33
836
7 28
8 41
7 23
8 46
19 00
7 54
8 15
7 48
8 21
7 43
8 26
7 38
8 31
7 33
8 36
20 00
8 02
806
7 56
8 12
751
8 17
7 46
8 22
7 41
8 27
22.00
8 18
7 50
8 12
756
8 07
8 01
8 02
806
7 57
8 11
24 00
8 31
7 37
8 25
7 43
8 20
7 48
8 15
7 53
810
7 58
26 00
8 42
7 26
8 36
7 32
8 31
7 37
8 26
7 42
8 21
7 47
28 00
8 52
7 16
846
7 22
8 41
7 27
8 36
7 32
8 31
7 37
30 00
9 00
7 08
8 54
7 14
8 49
7 19
8 44
7 24
8 39
7 29
32 00
9 08
7 00
9 02
7 06
8 57
7 11
8 52
7 16
8 47
7 21
34 00
9 15
653
9 09
6 59
9 04
7 04
8 59
7 09
8 54
7 14
36 00
9 21
6 47
9 15
653
9 10
6 58
9 05
7 03
9.00
7 08
38 00
9 26
6 42
9 20
6 48
9 15
6 53
9 10
6 58
9 05
7 03
40 00
9 31
6 36
9 25
6 42
9 20
6 47
9 15
6 52
9 10
6 57
45 00
9 42
6 25
9 36
6 31
9 31
636
9 26
6 41
9 21
6 46
50 00
9 50
6 16
9 44
6 22
9 39
6 27
9 34
6 32
9 29
6 37
55 00
9 57
6 08
9 51
6 14
9 46
6 19
9 41
6 24
9 36
6 29
60 00
10 03
6 01
9 57
6 07
9 52
6 12
9 47
6 17
9 42
6 22
65 00
10 10
5254
10 04
6 00
9 59
6 05
9 54
6 10
9 49
6 15
70 00
10 15
5 48
10 09
5254
10 04
5259
9 59
6 04
9 54
6 09
75 00
10 19
5 43
10 13
5 49
10 08
5 54
10 03
559
9 58
6 04
80 00
10 25
5 37
10 19
5 43
10 14
5 48
10 09
553
10 04
558
85 00
10 29
5 32
10 23
90 00
10 33
5 27
10 27
5 38
5 33
10 18
10 22
5 43
5 38
10 13
5 48
10 08
553
10 17
5 43
10 12
5 48
Day of Month.
ADDITIONal Corr.
FOR SUN'S ALT.
"
1st to 15th....+18 +15
++
Jan. Feb. Mar. Apr. May. June. July. Aug. Sept.
16th to 31st. +17 +12
+8 0 8-13-14-11 -5
+4 -4-11 -14 -13 9 -1
+3 +11 +16
+7 +14 +18
*The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
Oct. Nov. Dec.
"
"
"
"
"
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

TABLE I.
[Page 9
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
36 Feet.
37 Feet.
38 Feet.
39 Feet.
40 Feet.
OBS. ALT.
*
*
*
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Sun's
Star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
/
"/
"
6 30
2 22
13 47
2 17
13 52
2 13
13 56
2 08
14 01
2.03
14 06
Table II
40
2 32
13 37
2 27
13 42
2 23
13 46
2 18
13 51
2 13
13 56
50
2 42
13 27
2 37
13 32
233
13 36
2 28
13 41
2 23
13 46
Corr. to
Obs'd Alt.
7 00
2 52
13 17
2 47
13 22
2 43
13 26
238
13 31
2 33
13 36
10
3 01
13 08
2 56
13 13
2 52
13 17
2 47
13 22
2 42
13 27
of Moon.
20
3 10
12 59
3 05
13 04
3 01
13 08
256
13 13
2 51
13 18
7 30
3 19
12.50
3 14
12 55
3 10
12 59
3 05
13 04
300
13 09
40
3 27
12 42
3 22
12 47
3 18
12 51
3 13
12 56
3 08
13 01
50
3 35
12 34
3 30
12 39
3 26
12 43
3 21
12 48
3 16
1253
8.00
343
12 26
338
12 31
3 34
12 35
3 29
12 40
3 24
12 45
10
350
12 19
3 45
12 24
3 41
12 28
336
12 33
3 31
12 38
20
3 57
12 12
3 52
12 17
3 48
12 21
3 43
12 26
3 38
12 31
Table III
8 30
4 04
12 05
3 59
12 10
3 55
12 14
350
12 19
3 45
12 24
40
4 11
11 58
4 06
12 03
4 02
12 07
3 57
12 12
3 52
12 17
Log. Sin.
50
4 17
11 52
4 12
11 57
4 08
12 01
4 03
12 06
358
12 11
and
9 00
4 23
11 46
4 18
11 51
4 14
11 55
4 09
12 00
4 04
12 05
20
4 35
11 34
4 30
11 39
4 26
11 43
4 21
11 48
4 16
11 53
Log. Cos.
40
4 46
11 23
4 41
11 28
4 37
11 32
4 32
11 37
4 27
11 42
10 00
4 57
11 12
4 52
11 17
4 48
11 21
4 43
11 26
4 38
11 31
20
5 07
11 02
5 02
11 07
4 58
11 11
4 53
11 16
4 48
11 21

40
516
10 53
5 11
10 58
5 07
11 02
5 02
11 07
4 57
11 12
11 00
5 25
10 44
5 20
10 49
516
10 53
5 11
10 58
506
11 03
30
5 37
10 32
5 32
10 37
5 28
10 41
5 23
10 46
5 18
10 51
12 00
5 48
10 21
543
10 26
5 39
10 30
5 34
10 35
5 29
10 40
30
5 59
10 10
5 54
10 15
5250
10 19
5 45
10 24
5 40
10 29
13 00
6 09
10 00
6 04
10 05
6 00
10 09
5 55
10 14
5 50
10 19
30
6 18
9 51
6 13
9 56
6 09
10 00
6 04
10 05
5 59
10 10
14 00
6 26
9 43
6 21
9 48
6 17
952
6 12
9 57
6 07
10 02
15 00
6 42
9 27
6 37
9 32
6 33
9 36
6 28
9 41
6 23
9 46
16 00
6 55
9 14
6 50
9 19
6 46
9 23
6 41
9 28
636
9 33
17.00
7 08
9 01
7 03
9 06
6 59
9 10
6 54
9 15
6 49
9 20
18 00
7 18
8 51
7 13
8 56
7 09
9.00
7 04
9 05
6 59
9 10
19 00
7 28
8 41
7 23
8 46
7 19
850
7 14
8 55
7 09
9 00
20 00
7 36
832
7 31
837
7 27
8 41
7 22
8 46
7 17
8 51
22 00
7 52
8 16
7 47
8 21
7 43
8 25
7 38
8 30
7 33
835
24 00
8 05
803
8.00
8 08
7 56
8 12
751
8 17
7 46
8 22
26 00
8 16
752
8 11
757
8 07
8 01
8 02
8 06
7 57
8 11
28 00
8 26
7 42
8 21
7 47
8 17
7 51
8 12
7 56
8 07
8 01
30.00
8 34
7 34
8 29
7 39
8 25
7 43
8.20
7 48
8 15
7 53
32 00
8 42
7 26
8 37
7 31
833
7 35
8 28
7.40
8 23
7 45
34 00
8 49
7 19
8 44
7 24
8 40
7 28
8 35
7 33
830
738
36.00
8 55
7 13
850
7 18
846
7 22
8 41
7 27
8 36
7 32
38 00
9 00
708
8 55
7 13
8 51
7 17
8 46
7 22
8 41
7 27
40 00
9 05
7 02
9.00
7 07
8 56
7 11
8 51
716
846
7 21
45 00
9 16
6 51
9 11
6 56
9 07
7 00
9 02
705
8 57
7 10
50 00
9 24
6 42
9 19
6 47
9 15
6 51
9 10
656
9 05
7 01
55 00
9 31
6 34
9 26
6 39
9 22
6 43
9 17
6 48
9 12
653
60 00
9 37
6 27
9 32
632
9 28
6 36
9 23
6 41
9 18
6 46
65 00
9 44
6 20
9 39
6 25
9 35
6 29
9.30
6 34
9 25
6 39
70 00
9 49
6 14
9 44
6 19
9 40
623
9 35
6 28
9 30
6 33
75 00
9 53
6 09
9 48
6 14
9 44
618
9 39
6 23
9 34
6 28
80 00
9 59
6 03
9 54
6 08
9 50
6 12
945
6 17
9.40
6 22
85 00
10 03
558
958
6 03
954
6 07
9 49
6 12
9 44
6 17
90 00
10 07
5253
10 02
5 58
958
6 02
9 53
6 07
9 48
6 12
Day of Month.
Jan. Feb. Mar. Apr. May. June.
May. June. July. Aug. Sept.
Sept. Oct.
Nov.
Dec.
ADDITIONAL Corr.
FOR SUN'S ALT.
"
"
"/
"
"
1st to 15th....+18+15 +8 0
16th to 31st...+17 +12 +4 -4
11
8-13 -14 -11
-14-13
5 +3 +11 +16
-1 +7 +14 +18
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

Page 10]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
41 Feet.
42 Feet.
43 Feet.
44 Feot.
45 Feet.
46 Feet.
OBS. ALT.
Sun's Star's
Corr.
Sun's
Star's
Sun's
Star's
Sun's Star's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Sun's
Corr.
*
Star's
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+) (-)
Sun's Star's
Corr.
(+)

Corr.
(-)
"
"
"
"!
6 30
158
14 11
1 54
14 15
1 49
14 20
1 44
14 25
1 39
14 30
135
14 34
40
208
14 01
2 04
14 05
1 59
14 10
1 54
14 15
1 49
14 20
1 45
14 24
50
218
13 51
2 14
13 55
2.09
14 00
2.04
14 05
1 59
14 10
1 55
14 14
7 00
2.28
13 41
2 24
13 45
2 19
13 50
2 14
13 55
2.09
14 00
2 05
14 04
10
2 37
13 32
233
13 36
2 28
13 41
2 23
13 46
2 18
13 51
2 14
13 55
20
2.46
13 23
2 42
13 27
2 37
13 32
2 32
13 37
2 27
13 42
2 23
13 46
7 30
2 55
13 14
2 51
13 18
246
13 23
2 41
13 28
236
13 33
2 32
13 37
40
3 03
13 06
2 59
13 10
254
13 15
2 49
13 20
2 44
13 25
2 40
13 29
50
3 11
12 58
3 07
13 02
3 02
13 07
2 57
13 12
2 52
13 17
2 48
13 21
8.00
3 19
12 50
3 15
12 54
3 10
12 59
3 05
13 04
3.00
13 09
2 56
13 13
10
3 26
12 43
3 22
12 47
3 17
12 52
3 12
12 57
3 07
13 02
3 03
13 06
20
333
12 36
3 29
12 40
3 24
12 45
3 19
12 50
3 14
12 55
3 10
12 59
830
340
12 29
3 36
12 33
331
12 38
3 26
12 43
3 21
12 48
3 17
12 52
40
3 47
12 22
3 43
12 26
338
12 31
333
12 36
3 28
12 41
3 24
12 45
50
3 53
12 16
3.49
12 20
3 44
12 25
3 39
12 30
3 34
12 35
3 30
12 39
9.00
3 59
12 10
3 55
12 14
3 50
12 19
3 45
12 24
3.40
12 29
3 36
12 33
20
4 11
11 58
4 07
12 02
4 02
12 07
3 57
14 12
3 52
12 17
3 48
12 21
40
4 22
11 47
4 18
11 51
4 13
11 56
4 08
12 01
4 03
12 06
3 59
12 10
10 00
4 33
11 36
4 29
11 40
4 24
11 45
4 19
11 50
4 14
11 55
4 10
11 59
20
4 43
11 26
4 39
11 30
4 34
11 35
4 29
11 40
4 24
11 45
4 20
11 49
40
4 52
11 17
4 48
11 21
4 43
11 26
4 38
11 31
4 33
11 36
4 29
11 40
11 00
5 01
11 08
4 57
11 12
4 52
11 17
4 47
11 22
4 42
11 27
4 38
11 31
30
5 13
10 56
5 09
11 00
5 04
11 05
4 59
11 10
4 54
11 15
4 50
11 19
12.00
5 24
10 45
5 20
10 49
5 15
10 54
5 10
10 59
505
11 04
5 01
11 08
30
5 35
10 34
5 31
10 38
5 26
10 43
5 21
10 48
5 16
10 53
5 12
1057
13 00
5 45
10 24
5 41
10 28
5936
10 33
5 31
10 38
5 26
10 43
5 22
10 47
30
5 54
10 15
5 50
10 19
5 45
10 24
5 40
10 29
535
10 34
5 31
10 38
14 00
6 02
10 07
5 58
10 11
5253
10 16
5 48
10 21
5 43
10 26
5 39
10 30
15.00
618
9 51
6 14
9 55
6 09
10 00
6 04
10 05
5 59
10 10
5 55
10 14
16 00
6 31
9 38
6 27
9 42
6 22
9 47
6 17
9 52
6 12
9 57
6 08
10 01
17.00
6 44
9.25
6 40
9.29
6 35
9 34
630
9 39
6 25
9 44
6 21
9 48
18.00
654
9 15
6 50
9 19
645
9 24
6 40
9 29
6 35
9 34
6 31
938
19 00
7 04
9 05
7. 00
9 09
6 55
9 14
650
9 19
6 45
9 24
6 41
9 28
20 00
7 12
856
7 08
9.00
7 03
9.05
658
9 10
653
9 15
6 49
9 19
22 00
7 28
840
7 24
8 44
7 19
8 49
7 14
8 54
7 09
8 59
7 05
9 03
24.00
7 41
8 27
7 37
8 31
7 32
836
7 27
8 41
7 22
846
7 18
8 50
26.00
7 52
8 16
7 48
8 20
7 43
8 25
7 38
830
7 33
8 35
7 29
8 39
28.00
8 02
8.06
7 58
8 10
753
8 15
7 48
8 20
7 43
8 25
7 39
8 29
30 00
8 10
758
8 06
8 02
8 01
8 07
756
8 12
7 51
8 17
7 47
8 21
32 00
8 18
750
814
7 54
8 09
7 59
8 04
8 04
7 59
8.09
7 55
8 13
34 00
8 25
7 43
8 21
7 47
816
7 52
8 11
7 57
8.06
8 02
8 02
8 06
36 00
8 31
7 37
8 27
7 41
8 22
7 46
8 17
7 51
8 12
7 56
8 08
8.00
38 00
8 36
7 32
8 32
7 36
8 27
7 41
8 22
7 46
8 17
7 51
8 13
7 55
40 00
8 41
7 26
8 37
7 30
8 32
7 35
8 27
7 40
8 22
7 45
8 18
7 49
45 00
8.52
7 15
8 48
7 19
8 43
7 24
8.38
7 29
8 33
7 34
8 29
7 38
50 00 9.00
7 06
856
7 10
8 51
7 15
8 46
7 20
8 41
7 25
8 37
7 29
55 00 9.07
6.58
9 03
7 02
8 58
7 07
853
7 12
848
7 17
8 44
7 21
60 00
9.13
6 51
9.09
6.55
9.04
7.00
8 59
7 05
8 54
7 10
8 50
7 14
65 00
9.20
644
9 16
6.48
9 11
653
9.06
6 58
9 01
7 03
8 57
7 07
70 00
9.25
6.38
9.21
6.42
9.16
647
9 11
6 52
9.06
6 57
9 02
7 01
75.00
9 29
6 33
9.25
6 37
9.20
6.42
9 15
6 47
9 10
6 52
9.06
6 56
80 00
9.35
6 27
9.31
6 31
9 26
6.36
9 21
6 41
9 16
6.46
9 12
6 50
85 00
9.39
6 22
9 35
6.26
9 30
6 31
9 25
636
9 20
6 41
9 16
6 45
90 00 9.43
6 17
939
6 21 9 34
6.26
9 29
6 31
9 24
6 36
9 20
6 40
Day of Month.
Jan. Fob. Mar.
Apr. May. June. July. Aug. Sept.
Oct. Nov.
Dec.
ADDITIONAL CORR.
//
"/
//
"/
//
"
"
FOR HUN'S ALT.
1st to 15th....+18 │+15 +8
16th to 31st...+17 +12 +4 -1
8
-13
-14
-14
13
-11
5
+3 +11 +16
9
1
+7 +14 +18
* The corrections for the observed ultitude of a Star or Planet involves the dip and the refraction; and for the observed altitude,
of the Sun's lower limb, the dip, refraction, parallax, and moan semidinmotor, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

TABLE I.
[Page 11
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
47 Feet.
48 Feet.
49 Feet.
50 Feet.
51 Feet.
52 Feet.
OBS. ALT.
Sun's
Corr.
(+)
*
Star's
Corr.
*
O
*
Sun's Star's
Sun's
Star's
Sun's
Star's Sun's Star's
☺
Sun's
Star'3
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Cor.
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(~)
(+)
(-)
//
//
"
Table !!
6 30
1 31
14
14 38
1 27
14 42
1 23
14 46
1 19
14.50
1 15
14 54
1 11
14 58
Carto
40
1 41
14 28
1 37
14 32
1 33
14 36
1 29
14 40
1 25
14 44
1 21
14 48
50
1 51
14 18
1 47
14 22
1 43
14 26
1 39
14 30
1 35
14 34
1 31
14 38
7 00
2 01
14 08
157
14 12
153
14 16
1.49
14 20
1 45
14 24
1 41
14 23
of Mega
10
2 10
13 59
206
14 03
2 02
14 07
158
14 11
154
14 15
1 50
14 19
20
2 19
13 50
215
13 54
2 11
13 58
2 07
14 02
2 03
14 06
1 59
14 10
730
2 28
13 41
2 24
13 45
2 20
13 49
216
13 53
2 12
13 57
208
14 01
40
236
13 33
232
13 37
2 28
13 41
2 24
13 45
2 20
13 49
2 16
13 53
50
2 44
13 25
240
13 29
236
13 33
2 32
13 37
2 28
13 41
2 24
13 45
800
2 52
13 17
2 48
13 21
2 44
13 25
240
13 29
2 36
13 33
2 32
13 37
10
259
13 10
2 55
13 14
2 51
13 18
2 47
13 22
2 43
13 26
239
13 30
20
3 06
13 03
3 02
13 07
258
13 11
2 54
13 15
250
13 19
2 46
13 23
Table III
830
3 13
12 56
3 09
13 00
3 05
13 04
3 01
13 08
2 57
13 12
2 53
13 16
Log. Sin.
40
3 20
12.49
3 16
12 53
3 12
12 57
3.08
13 01
3 04
13 05
300
13 09
and
50
3 26
12 43
3 22
12 47
3 18
12 51
3 14
12 55
3 10
12 59
306
13 03
9 00
332
12 37
3 28
12 41
3 24
12 45
3 20
12 49
3 16
12 53
3 12
12 57
Loz. Cus
20
3 44
12 25
340
12 29
3 36
12 33
3 32
12 37
3 28
12 41
3 24
12 45
40
3 55
12 14
3 51
12 18
3 47
12 22
3 43
12 26
3 39
12 30
335
12 34
10 00
4.06
12 03
4 02
12 07
3 58
12 11
3 54
12 15
3 50
12 19
346
12 23

20
4 16
11 53
4 12
11 57
4 08
12 01
4 04
12.05
4.00
12 09
356
12 13
40
4 25
11 44
4 21
11 48
4 17
11 52
4 13
11 56
4 09
12 00
4 05
12 04
11 00
4 34
11 35
4 30
11 39
4 26
11 43
4 22
11 47
4 18
11 51
4 14
11 55
30
4 46
11 23
4 42
11 27
4 38
11 31
4 34
11 35
4 30
11 39
4 26
11 43
12 00
4 57
11 12
4 53
11 16
4 49
11 20
4 45
11 24
4 41
11 28
4 37
11 32
30
5 08
11 01
5 04
11 05
500
11 09
456
11 13
4 52
11 17
4 48
11 21
13.00
518
10 51
5 14
1055
5 10
10 59
506
11 03
5 02
11 07
4 58
11 11
30
5 27
10 42
5 23
10 46
5 19
10 50
5 15
10 54
5 11
10 58
5 07
11 02
14.00
5 35
10 34
5 31
10 38
5 27
10 42
5 23
10 46
5 19
10 50
5 15
10 54
15.00
5 51
10 18
5 47
10 22
5 43
10 26
5 39
10 30
5 35
10 34
5 31
10 38
16 00
6 04
10 05
600
10 09
5 56
10 13
5 52
10 17
548
10 21
5 44
10 25
17 00
6 17
9 52
6 13
956
6 09
10 00
6 05
10 04
6 01
10 08
5 57
10 12
18 00
6 27
9 42
6223
9 46
6 19
950
6 15
9 54
6 11
9 58
6 07
10 02
19 00
6 37
9 32
6 33
936
6 29
940
625
9 44
6 21
9 48
6 17
9 52
20 00
6 45
9 23
6 41
9 27
6 37
9 31
6 33
9 35
6 29
9 39
625
9 43
22 00
7 01
9 07
6 57
9 11
653
9 15
6.49
9 19
645
9 23
6 41
9 27
24 00
7 14
8 54
7 10
858
7 06
902
7 02
9 06
658
9 10
654
9 14
26 00
7 25
8 43
7 21
8 47
7 17
8 51
7 13
855
7 09
859
705
9.03
28 00
7 35
833
7 31
837
7 27
8 41
7 23
845
7 19
849
7 15
853
30 00
743
825
739
8 29
7 35
833
7 31
8 37
7 27
8 41
7 23
8 45
32.00
7 51
8 17
7 47
8 21
7 43
8 25
7 39
8 29
7 35
833
7 31
8 37
34.00
7 58
8 10
7 54
814
7 50
8 18
7 46
8 22
7 42
826
7 38
8 30
36.00
8.04
8.04
8.00
808
756
8 12
7 52
8 16
7 48
8 20
7 44
824
38 00
8.09
7 59
805
8 03
8 01
8 07
7 57
8 11
7 53
815
749
8 19
40 00
8 14
7 53
810
7 57
806
8 01
8 02
805
758
8 09
7 54
8 13
45 00
8 25
7 42
8 21
7 46
8 17
750
813
754
8 09
758
8 05
8 02
50 00
8 33
7 33
8 29
7 37
8 25
7 41
8 21
7 45
8 17
7 49
8 13
7 53
55 00
8 40
7.25
8 36
7 29
832
7 33
828
7 37
8 24
7 41
8 20
7 45
60 00
846
7 18
8 42
7 22
838
7 26
8 34
7 30
8.30
7 34
8 26
7 38
65.00
853
7 11
8 49
7 15
845
7 19
8 41
7 23
8 37
7 27
8 33
7 31
70 00
858
7 05
854
7.09
8 50
7 13
846
7 17
842
7 21
8 38
7 25
75.00
9 02
7 00
858
7 04
8 54
7 08
850
7 12
8.46
7 16
8 42
7 20
80 00
9.08
654
9.04
6 58
9.00
7.02
856
7.06
852
7 10
8 48
7 14
85.00
9 12
6.49
9.08
653
9 04
6257
9.00
701
856
7 05
8 52
7.09
90 00
9 16
644
9 12
648
9 08
6 52
9 04
656
9.00
7.00
8.56
7 04
Day of Month.
Jan.
Feb. Mar. Apr. May. | June. | July.
May. June. July.
Aug. Sept.
Aug. Sept. Oct.
Nov. Dec.
ADDITIONAL CORR.
FOR SUN'S ALT.
"
"/
"
"/
1st to 15th....+18 +15 +8
16th to 31st...+17 +12 | +4
-1
+3+11 +16
+7 +14 +18
0 S
-4-11
-13 -14 -11 -5
14 13
*The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiamotor, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's Semidiameter in the different months of the year is given at the foot of the inain table.

Page 12]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
53 Feet.
54 Feet.
55 Feet.
56 Feet.
57 Feet.
58 Feet.
OBS. ALT.
*
*
Sun's
Star's
Sun's
Star's
Sun's
Star's Sun's Star's
Sun's
Corr.
(+)
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
*
Star's
Corr.
*
Sun's Star's
Corr.
Corr.
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-) (+) (-)
=
-
-
=
"
་
"
6 30
1 07 15 02
1 03
15 06
0 59
15 10
0 55
15 14
0 51
15 18
0 48
15 21
40
1 17
14 52
1 13
14 56
1 09
15 00
1 05
15 04
1 01
1508
0 58
15 11
50
1 27
14 42
1 23
14 46
1 19
14 50
1 15
14 54
1 11
14 58
1 08
15 01
7 00
1 37
14 32
1 33
14 36
1 29
14 40
1 25
14 44
1 21
14 48
1 18
14 51
10
1 46
14 23
1 42
14 27
1 38
14 31
1 34
14 35
1 30
14 39
1 27
14 42
20
1 55
14 14
1 51
14 18
1 47
14 22
1 43
14 26
1 39
14 30
1 36
14 33
7 30
2 04
14 05
2.00
14 09
156
14 13
1 52
14 17
1 48
14 21
145
14 24
40
2 12
13 57
2 08
14 01
2.04
14 05
2.00
14 09
156
14 13
1 53
14 16
50
2 20
13 49
2 16
13 53
2 12
13 57
2 08
14 01
2 04
14 05
2 01
14 08
8 00
2 28
13 41
2 24
13 45
2 20
13 49
2 16
13 53
2 12
13 57
2.09
14 00
10
2 35
13 34
2 31
13 38
2 27
13 42
2 23
13 46
2 19
13 50
2 16
13 53
20
2 42
13 27
238
13 31
2 34
13 35
230
13 39
2 26
13 43
2 23
13 46
8 30
2 49
13 20
2 45
13 24
2 41
13 28
2 37
13 32
2 33
13 36
2 30
13 39
40
2 56
13 13
2 52
13 17
2 48
13 21
2 44
13 25
2.40
13 29
2 37
13 32
50
3 02
13 07
2 58
13 11
2 54
13 15
250
13 19
2 46
13 23
2 43
13 26
9 00
3 08
13 01
3 04
13 05
3.00
13 09
256
13 13
2 52
13 17
2.49
13 20
20
3 20
12 49
3 16
12 53
3 12
12 57
3 08
13 01
3 04
13 05
3 01
13 08
40
331
12 38
3 27
12 42
3 23
12 46
3 19
12 50
3 15
12 54
3 12
12 57
10 00
3 42
12 27
3 38
12 31
3 34
12 35
3 30
12 39
3 26
12 43
3 23
12 46
20
3 52
12 17
3 48
12 21
3 44
12 25
3.40
12 29
3 36
12 33
3 33
12 36
40
4 01
12 08
3 57
12 12
3 53
12 16
3 49
12 20
345
12 24
342
12 27
11 00
4 10
11 59
4 06
12 03
4 02
12 07
358
12 11
3 54
12 15
3 51
12 18
30
4 22
11 47
4 18
11 51
4 14
11 55
4 10
11 59
4 06
12 03
4 03
12 06
12.00
4 33
11 36
4 29
11 40
4 25
11 44
4 21
11 48
4 17
11 52
4 14
11 55
30
4 44
11 25
4 40
11 29
4 36
11 33
4 32
11 37
4 28
11 41
4 25
11 44
13 00
4 54
11 15
4 50
11 19
4 46
11 23
4 42
11 27
4 38
11 31
4 35
11 34
30
5 03
11 06
459
11 10
4 55
11 14
4 51
11 18
4 47
11 22
4 44
11 25
14 00
5 11
10 58
5 07
11 02
5 03
11 06
4 59
11 10
4 55
11 14
4 52
11 17
15 00
527
10 42
523
10 46
5 19
10 50
5 15
1054
5 11
10 58
5 08
11 01
16.00
5 40
10 29
5936
10 33
5 32
10 37
528
10 41
5 24
10 45
5 21
10 48
17 00
5 53
10 16
5 49
10 20
5 45
10 24
5 41
10 28
5 37
10 32
5 34
10 35
18.00
6 03
10 06
5 59
10 10
5 55
10 14
5 51
10 18
5 47
10 22
5 44
10 25
19 00
6 13
9 56
6 09
10 00
6 05
10 04
6 01
10 08
5 57
10 12
5 54
10 15
20 00
6 21
9 47
6 17
9 51
6 13
9 55
6 09
9 59
6 05
10 03
6 02
10 06
22.00
6 37
9 31
6 33
9 35
6 29
9 39
6 25
9 43
6 21
9 47
6 18
950
24 00
6 50
9 18
646
9.22
6 42
926
638
9 30
6 34
9 34
6 31
9 37
26.00
7 01
9 07
6 57
9 11
6 53
9 15
649
9 19
6 45
9 23
6 42
9 26
28 00
7 11
8 57
7 07
9 01
7 03
9.05
6 59
9.09
6 55
9 13
6 52
9 16
30 00
7 19
8 49
7 15
8 53
7 11
857
7 07
9 01
7 03
905
7.00
9 08
32 00
7 27
8 41
7 23
8 45
7 19
8.49
7 15
8 53
7 11
857
7 08
9 00
34 00
7 34
8 34
7 30
8 38
7 26
8 42
7 22
846
7 18
8 50
7 15
8 53
36 00
7 40
8 28
7 36
8 32
7 32
8 36
7 28
840
7 24
8 44
7 21
8 47
38 00
7 45
8 23
7 41
8 27
7 37
8 31
7 33
8 35
7 29
8 39
7 26
8 42
40 00
7 50
8 17
7 46
8 21
7 42
8 25
738
8 29
7 34
8 33
7 31
836
45 00
8 01
806
7 57
8 10
7 53
8 14
7 49
8 18
7 45
8 22
7 42
8 25
50 00
8 09
7 57
8 05
8 01
8 01
805
7 57
8 09
7 53
8 13
7 50
8 16
55 00
8 16
7 49
8 12
7 53
808
757
8 04
8 01
8.00
805
7 57
808
60 00
822
7 42
8 18
7 46
8 14
7 50
8 10
7 54
806
7 58
8 03
8 01
65 00
8 29
7 35
8 25
7.39
8 21
7 43
8 17
7 47
8 13
7 51
8 10
7 54
70.00
8 34
7 29
8 30
7 33
8 26
7 37
8 22
7 41
8 18
745
8 15
7 48
75.00
838
7 24
8 34
7 28
830
732
826
7 36
8 22
7 40
8 19
7 43
80.00
8 44
7 18
8.40
7 22
836
7 26
8 32
7 30
828
7 34
8 25
7 37
85.00
8 48
7 13
8 44
7 17
840
7 21
836
7 25
8 32
7 29
8 29
7 32
90 00
8.52
7 08
8 48
7 12
8 44
7 16
8.40
7 20
8 36
7 24
8 33
7 27
Day of Month.
Jan.
Feb. Mar. Apr. May. June. July. Aug. Sept.
| Oct.
Nov.
Dec.
"
ADDITIONAL CORR.
"/
FOR SUN'S ALT.
1st to 15th....|-+-18 |--+--15
16th to 31st...+17+12
+8
+4
0
4
8
13-14
14
-13
-5 -4-3 +11 +-16
9
+7 +14 +18
*The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitudo
+

of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16. A supplementary correction,
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main tublo.

TABLE I.
[Page 13
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
59 Feet.
60 Feet.
61 Feet.
62 Feet.
63 Feet.
61 Feet.
OBS. ALT.
Sun's
Corr.
*
Star's
Corr.
*
*
*
Sun's Star's
Corr. Corr.
(+)
(-)
(+)
(-)
Sun's Star's Sun's Star's Sun's Star's
Corr. Corr. Corr.
(+) (-)
(+)
Sun's
Star's
Corr.
Corr.
Corr.
Corr.
Corr.
(-)
(+)
(-)
(+)
(-)
Table II
=
"
//
"/
6 30
0 44
15 25
0 40
15 29
0 36
15 33
0 32
15 37
0 29
15 40
0 25
15 44
40
0 54
15 15
0 50
15 19
046
15 23
0 42
15 27
0 39
15 30
0 35
15 34
Corr. to
Obe'd Alt.
50
1 04
15 05
100
15 09
0 56
15 13
0 52
15 17
0 49
15 20
0 45
15 24
7 00
1 14
14 55
1 10
14 59
1 06
15 03
1 02
15 07
059
15 10
0 55
15 14
of Moon.
10
1 23
14 46
1 19
14 50
1 15
14 54
1 11
14 58
1 08
15 01
1 04
15 05

20
1 32
14 37
128
14 41
1 24
14 45
1 20
14 49
1 17
14 52
1 13
14 56
7 30
1 41
14 28
1 37
14 32
1 33
14 36
1 29
14 40
1 26
14 43
1 22
14 47
40
1 49
14 20
1 45
14 24
141
14 28
1 37
14 32
1 34
14 35
130
14 39
50
1 57
14 12
153
14 16
1 49
14 20
145
14 24
1 42
14 27
1 38
14 31
8 00
2 05
14 04
2 01
14 08
157
14 12
153
14 16
1 50
14 19
146
14 23
10
2 12
13 57
2 08
14 01
2 04
14 05
2.00
14 09
1 57
14 12
1 53
14 16
20
2 19
13 50
2 15
13 54
2 11
13 58
2 07
14 02
2 04
14 05
2.00
Table III
14 09
8 30
2 26
13 43
2 22
13 47
2 18
13 51
2 14
13 55
2 11
13 58
2 07
14 02
Log. Sin.
40
2 33
13 36
2 29
13 40
2 25
13 44
2 21
13 48
2 18
13 51
2 14
13 55
and
50
2 39
13 30
235
13 34
2 31
13 38
2 27
13 42
2 24
1345
2 20
13 49
9 00
2 45
13 24
2 41
13 28
2 37
13 32
233
13 36
2 30
13 39
2 26
13 43
Log. Cos.
20
257
13 12
2 53
13 16
2 49
13 20
2945
13 24
2 42
13 27
238
13 31
40
3 08
13 01
3 04
13 05
3.00
13 09
256
13 13
2 53
13 16
2 49
13 20
10 00
3 19
12 50
3 15
12 54
3 11
1258
3 07
13 02
3 04
13 05
3 00
13 09
20
3 29
12 40
3 25
12 44
3 21
12 48
3 17
12 52
3 14
12 55
3 10
12 59
40
338
12 31
3 34
12 35
3 30
12 39
326
12 43
3 23
12 46
3 19
12 50
11 00
3 47
12 22
3 43
12 26
3 39
12 30
3 35
12 34
3 32
12 37
3 28
12 41
30
3 59
12 10
3 55
12 14
3 51
12 18
3 47
12 22
3 44
12 25
3 40
12 29
12.00
4 10
11 59
4 06
12 03
4 02
12 07
358
12 11
3 55
12 14
3 51
12 18
30
4 21
11 48
4 17
11 52
4 13
11 56
4 09
12 00
4 06
12 03
4902
12 07
13 00
4 31
11 38
4 27
11 42
4 23
11 46
4 19
11 50
4 16
11 53
4 12
11 57
30
440
11 29
4 36
11 33
4 32
11 37
4 28
11 41
4 25
11 44
4 21
11 48
14 00
4 48
11 21
4 44
11 25
4 40
11 29
4 36
11 33
4 33
11 36
4 29
11 40
15.00
5 04
11 05
5 00
11 09
4 56
11 13
4 52
11 17
4 49
11 20
4 45
11 24
16 00
5 17
10 52
5 13
10 56
5 09
11 00
5205
11 04
5 02
11 07
4958
11 11
17.00
5 30
10 39
5 26
10 43
5 22
10 47
5 18
10 51
515
10 51
5 11
10 58
18.00
5 40
10 29
536
10 33
5932
10 37
528
10 41
5225
10 44
5 21
10 48
19 00
5250
10 19
5246
10 23
5 42
10 27
5 38
10 31
5235
10 34
5 31
10 38
20 00
5 58
10 10
5 54
10 14
5250
10 18
546
10 22
5 43
10 25
5 39
10 29
22.00
6 14
9 54
6 10
958
6 06
10 02
6 02
10 06
559
10 09
555
10 13
24.00
6 27
9 41
623
945
6 19
9 49
615
953
6 12
956
6 08
10 00
26 00
6 38
9 30
6 34
9 34
6 30
938
6226
9 42
6 23
945
6 19
9.49
28.00
6 48
9 20
6 44
9.24
6 40
9 28
636
9 32
6 33
935
6 29
9.39
30 00
6 56
9 12
6 52
9 16
648
9 20
644
924
641
9 27
6 37
9 31
32.00
7 04
9.04
7 00
9 08
656
9 12
6 52
9 16
649
9.19
645
9.23
34.00
7 11
8 57
7 07
9 01
7 03
9.05
659
9.09
656
9.12
6252
916
36 00
7 17
8 51
7 13
855
7 09
8 59
7 05
9.03
7 02
9.06
6 58
9.10
38 00
7 22
846
7 18
850
7 14
8 54
7 10
8 58
7 07
9 01
7 03
9.05
40 00
7 27
8 40
7 23
8.44
7 19
8 48
7 15
852
7 12
45 00
7 38
8 29
7 34
8 33
7 30
8 37
7 26
8 41
7 23
50 00
746
8 20
7 42
8 24
738
8 28
7.34
8.32
7 31
55 00
7 53
8 12
7 49
816
7 45
S 20
741
8 24
7 38
60 00
7 59
8 05
7 55
8.09
7 51
8 13
7 47
8 17
7 44
65 00
8.06
7 58
8 02
8 02
758
8.06
7 54
8 10
751
70.00
8 11
752
8 07
756
8 03
8.00
7 59
8 04
756
75.00
8 15
7 47
8 11
7 51
8 07
755
8.03
7 59
00
80 00
8 21
7 41
8 17
745
8 13
7.49
8 09
7 53
06
85.00
8 25
736
8 21
7 40
8 17
744
8 13
7 48
10
90 00
8 29
7 31
8 25
7 35
8 21
7 39
$ 17
7 83
8 14 7 46
00 00 00 00 00 00 00 ∞ 1-1-1-
855
7 OS
8 44
7 19
8 35
751
LCISTOCHN10 00
7 27
27
7 34
40
56
8 02
8.06
8 10
8. 00
768
7 50
84838ESSER
∞ ∞ ∞ ∞ ∞ ∞ ∞ SDN-}-
8 59
8 48
39
31
24
Day of Month.
Jun. Fob.
Mar. Apr. May. June. July. Aug. Sept. Oct.
Νου. Dec.
ADDITIONAL CORR.
"/
"
//
"
"
FOR SUN'S ALT.
1st to 15th....+18 +15 +8
16th to 31st...-17 H
4-12 -+-·l
0
13
B
11
9
+3
4-16
*The corrections for the observed altitudo of a Star or Planot involves the dip and tho refraction; and for the observed altitude
of the Sun's lower limb, the dip, rofruction, parallax, and moan somidiamotor, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's somidiameter in the different months of the year is given at the foot of the main table.

Page 14]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
}
65 Feet.
66 Feet.
67 Feet.
68 Feet.
69 Feet.
70 Feet.
OBS. ALT.
*
Sun's Star's
Corr. Corr.
Sun's Star's
Sun's
Corr.
Corr.
Corr.
*
Star's
Corr.
*
*
Sun's Star's
Sun's
Star's
Sun's
*
Star's
•

Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
-
"
"
//
"
6 30
0 21
15 48
0 18
15 51
0 14
15 55
0 10
15 59
0 07
16 02
0.03
16 06
40
0 31
15 38
0 28
15 41
0 24
15 45
0 20
15 49
0 17
15 52
0 13
15 56
50
0 41
15 28
038
15 31
0 34
15 35
0 30
15 39
0 27
15 42
0 23
15 46
7 00
0 51
15 18
0 48
15 21
0 44
15 25
0 40
15 29
0 37
15 32
0 33
1536
10
1 00
15 09
0 57
15 12
053
15 16
0 49
15 20
0 46
15 23
0 42
15 27
20
1 09
15 00
1 06
15 03
1 02
15 07
0 58
15 11
0255
15 14
0 51
15 18
7 30
1 18
14 51
1 15
14 54
1 11
14 58
1 07
15 02
104
15 05
100
15 09
40
1 26
14 43
1 23
14 46
1 19
14 50
1 15
14 54
1 12
14 57
108
15 01
50
1 34
14 35
1 31
14 38
1 27
14 42
1 23
14 46
1 20
14 49
1 16
14 53
800
1 42
14 27
1 39
14 30
135
14 34
1 31
14 38
1 28
14 41
1 24
14 45
10
1 49
14 20
1 46
14 23
1 42
14 27
138
14 31
1 35
14 34
1 31
14 38
20
1 56
14 13
1 53
14 16
1 49
14 20
1 45
14 24
1 42
14 27
1 38
14 31
830
2 03
14 06
200
14 09
1 56
14 13
1 52
14 17
1 49
14 20
1 45
14 24
40
2 10
13 59
2.07
14 02
2.03
14 06
1 59
14 10
1 56
14 13
1 52
14 17
50
2 16
13 53
2 13
13 56
2.09
14 00
2 05
14 04
2 02
14 07
1 58
14 11
9.00
2 22
13 47
2 19
13 50
2 15
13 54
2 11
13 58
2 08
14 01
2 04
14 05
20
2 34
13 35
2 31
13 38
2 27
13 42
2 23
13 46
2 20
13 49
216
13 53
40
245
13 24
2 42
13 27
2 38
13 31
2 34
13 35
2 31
13 38
2 27
13 42
10 00
2 56
13 13
2 53
13 16
2 49
13 20
2 45
13 24
2 42
13 27
238
13 31
20
306
13 03
303
13 06
2 59
13 10
2 55
13 14
2 52
13 17
2 48
13 21
40
3 15
12 54
3 12
12 57
3 08
13 01
3 04
13 05
3 01
13 08
2 57
13 12
11 00
3 24
1245
3 21
12 48
3 17
12 52
3 13
12 56
3 10
12 59
3 06
13 03
30
3 36
12 33
3 33
12 36
3 29
12 40
3 25
12 44
3 22
12 47
3 18
12 51
12 00
3 47
12 22
3 44
12 25
3.40
12 29
3 36
12 33
3 33
12 36
3 29
12 40
30
358
12 11
3 55
12 14
3 51
12 18
3 47
12 22
3 44
12 25
340
12 29
13 00
4 08
12 01
4 05
12 04
4 01
12 08
3 57
12 12
3 54
12 15
3 50
12 19
30
4 17
11 52
4 14
11 55
4 10
11 59
4 06
12 03
4 03
12 06
3 59
12 10
14 00
4 25
11 44
4 22
11 47
4 18
11 51
4 14
11 55
4 11
11 58
4 07
12 02
15.00
4 41
11 28
4 38
11 31
4 34
11 35
4 30
11 39
4 27
11 42
4 23
11 46
16 00
4 54
11 15
4 51
11 18
4 47
11 22
4 43
11 26
4 40
11 29
4 36
11 33
17 00
5 07
11 02
5 04
11 05
5 00
11 09
4 56
11 13
4 53
11 16
4 49
11 20
18 00
5 17
10 52
5 14
10 55
5 10
10 59
5 06
11 03
5 03
11 06
4 59
11 10
19 00
5 27
10 42
5 24
10 45
5 20
10 49
5 16
10 53
5 13
10 56
5 09
11.00
20 00
5 35
10 33
5 32
10 36
528
10 40
5 24
10 44
5 21
10 47
5 17
10 51
22 00
5 51
10 17
5 48
10 20
5 44
10 24
5 40
10 28
5 37
10 31
5 33
10 35
24 00
6 04
10 04
6 01
10 07
5 57
10 11
5 53
10 15
5 50
10 18
5 46
10 22
26 00
6 15
953
612
9 56
6 08
10 00
6 04
10 04
6 01
10 07
5 57
10 11
28.00
6 25
9 43
6 22
9 46
6 18
9 50
6 14
9 54
6 11
9 57
6 07
10 01
30 00
6 33
9 35
6 30
9 38
626
942
6 22
9 46
6 19
9 49
6 15
953
32 00
6 41
9 27
6 38
9 30
6 34
9 34
630
9 38
6 27
9 41
6 23
9 45
34 00
648
9 20
6 45
9 23
6 41
9 27
6 37
9 31
6 34
9 34
6 30
9 38
36 00
6 54
9 14
6 51
9 17
6 47
9 21
6 43
925
6 40
9 28
6 36
932
38 00
6 59
9.09
656
9 12
6 52
916
6 48
9 20
6 45
9 23
6 41
9 27
40 00
7 04
9 03
7 01
9 06
6 57
9 10
6 53
9 14
650
9 17
646
9 21
45 00
7 15
852
7 12
855
7 08
8 59
7 04
9 03
7 01
9 06
6 57
9 10
50 00 7 23
8 43
7 20
846
7 16
850
7 12
854
7 09
857
7 05
9 01
55 00
7 30
835
7 27
8 38
7 23
842
7 19
8 46
7 16
8 49
7 12
8 53
60 00
7 36
8 28
7 33
8 31
7 29
8 35
7 25
8 39
7 22
8 42
7 18
8 46
65 00
7 43
8 21
7 40
8 24
736
8 28
7 32
832
7 29
835
7 25
8 39
70.00
7 48
8 15
7 45
8 18
7 41
8 22
7 37
8 26
7 34
8 29
7 30
8 33
7500
7 52
8 10
7 49
813
7 45
8 17
7 41
8 21
7 38
824
7 34
828
80 00
7 58
8 04
7 55
8 07
7 51
8 11
7 47
8 15
7 44
8 18
7 40
8 22
85 00
802
7 59
7 59
8 02
7 55
806
7 51
8 10
7 48
8 13
7 44
8 17
90 00
806
7 54
8 03
7 57
7 59
8 01
7 55
8 05
7 52
808
7 48
812
Day of Month.
Jan.
Feb. Mar. Apr.
Apr. May. June. July. Aug. Sept. Oct.
Nov. Dec.
ADDITIONAl Corr.
"/
"
"
"/
"
"
//
FOR SUN'S ALT.
1st to 15th....+18 +15 | +8
16th to 31st...+17 +12 +4
0
8
-4
-13
11-14
-14 -11
-13
-5 +3 +11 +16
-1 +7 +14 +18
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

TABLE I.
[Page 15
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
71 Feet.
72 Feet.
73 Feet.
74 Feet.
75 Feet.
76 Feet.
OBS. ALT.
*
*
*
*
*
Sun's
Star's
Star's
Star's
Star's
Star's
Star's
Sun's
Sun's
Sun's
Sun's
Sun's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(+)
(-)
(-)
Corr.
Corr.
Corr.
(-)
(-)
(-)
(-)
Table II
"
"
6 30
0.00
16 09
-0 04
16 13
-0 08
16 17
0 11
16 20
-0 14
16 23
0 17
16 26
40
0 10
15 590 06
16 030 02
16 07
0 01
16 10
0 04
16 13 -0 07
16 16
Corr. to
Obs'd Alt.
50
0 20
15 49
0 16
15 53
0 12
15 57
+0 09
16 00
+0 06
16 030 03
16 06
7 00
0 30
15 39
0 26
15 43
0 22
of Moon.
15 47
1 19
15 50
0 16
15 53
0 13
15 56
10
0 39
15 30
0 35
15 34
0 31
15 38
1 28
15 41
0 25
15 44
0 22
15 47
20
0 48
15 21
0 44
15 25
0 40
15 29
1 37
15 32
0 34
15 35
0 31
15 38
7 30
0 57
15 12
053
15 16
0 49
15 20
146
15 23
0 43
15 26
0 40
15 29
40
105
15 04
1 01
15 08
0 57
15 12
1 54
15 15
0 51
15 18
0 48
15 21
50
1 13
14 56
1 09
15 00
1 05
15 04
1 02
15 07
0 59
15 10
0 56
15 13
8 00
1 21
14 48
1 17
14 52
1 13
14 56
1 10
14 59
1 07
15 02
1 04
15 05
10
1 28
14 41
1 24
14 45
1 20
14 49
1 17
14 52
1 14
14 55
1 11
14 58
Table III
20
1 35
14 34
1 31
14 38
1 27
14 42
1 24
14 45
1 21
14 48
1 18
14 51
8 30
1 42
14 27
1 38
14 31
1 34
14 35
1 31
14 38
1 28
14 41
1 25
14 44
Log. Sin.
40
1 49
14 20
1 45
14 24
1 41
14 28
1 38
14 31
1 35
14 34
1 32
14 37
and
50
1 55
14 14
1 51
14 18
1 47
14 22
1 44
14 25
1 41
14 28
1 38
14 31
9 00
2 01
14 08
1 57
14 12
1 53
14 16
150
14 19
1 47
14 22
1 44
14 25
Log. Cos.

20
2 13
13 56
2 09
14 00
2 05
14 04
2 02
14 07
159
14 10
1 56
14 13
40
2 24
13 45
2 20
13 49
2 16
13 53
2 13
13 56
2 10
13 59
2 07
14 02
10 00
2 35
13 34
2 31
13 38
2 27
13 42
2 24
13 45
2 21
13 48
2 18
13 51
20
2 45
13 24
2 41
13 28
2 37
13 32
2 34
13 35
2 31
13 38
2 28
13 41
40
2 54
13 15
250
13 19
2 46
13 23
2 43
13 26
2.40
13 29
2 37
13 32
11 00
3 03
13 06
2 59
13 10
255
13 14
2 52
13 17
2 49
13 20
2 46
13 23
30
3 15
12 54
3 11
12 58
3 07
13 02
3 04
13 05
3 01
13 08
258
13 11
12 00
3 26
12 43
3 22
12 47
3 18
12 51
315
12 54
3 12
12 57
3 09
13.00
30
3 37
12 32
3 33
12 36
3 29
12 40
3 26
12 43
3 23
12 46
3 20
12 49
13 00
3 47
12 22
3 43
12 26
3 39
12 30
336
12 33
3 33
12 36
3.30
12 39
30
3 56
12 13
3 52
12 17
3 48
12 21
3 45
12 24
3 42
12 27
3 39
12 30
14 00
4 04
12.05
4 00
12 09
3 56
12 13
3 53
12 16
350
12 19
3 47
12 22
15 00
4 20
11 49
4 16
11 53
4 12
11 57
4 09
12.00
4 06
12 03
4 03
12 06
16 00
4 33
11 36
4 29
11 40
4 25
11 44
4 22
11 47
4 19
11 50
4 16
11 53
17 00
4 46
11 23
4 42
11 27
4 38
11 31
4 35
11 34
4 32
11 37
4 29
11 40
18.00
4 56
11 13
4 52
11 17
4 48
11 21
4 45
11 24
4 42
11 27
4 39
11 30
19.00
506
11 03
5 02
11 07
458
11 11
4 55
11 14
4 52
11 17
4 49
11 20
20 00
5 14
10 54
5 10
10 58
.5 06
11 02
5 03
11 05
500
11 08
4 57
11 11
22 00
5 30
10 38
5 26
10 42
5 22
10 46
24 00
5 43
10 25
5 39
10 29
5 35
10 33
26.00
5 54
10 14
5 50
10 18
5 46
10 22
28 00 6 04
10 04
6 00
10 08
5.56
10 12
ст от отст
5 19
10 49
5 16
1052
5 13
10.55
532
10 36
5 29
10 39
5 26
10 42
5 43
10 25
5 40
10 28
5 37
10 31
553
10 15
5 50
10 18
5 47
10 21
30 00
6 12
9 56
608
10 00
6 04
10 04
6 01
10 07
558
10 10
5 55
10 13
32 00
6 20
9 48
6 16
9 52
6 12
9 56
6 09
9 59
6 06
10 02
6 03
10 05
34 00
6 27
9 41
6 23
9 45
6 19
9 49
6 16
9 52
6 13
9 55
6 10
9 58
36 00
6 33
9 35
6 29
9 39
6 25
9 43
6 22
9 46
6 19
9 49
6 16
952
38 00
638
9 30
6 34
9 34
6 30
9 38
6 27
9 41
624
9 44
6 21
9 47
40 00
6 43
9 24
6 39
9 28
6 35
9 32
6 32
9 35
6 29
9 38
626
9 41
45 00
6 54
9 13
650
9 17
6 46
9 21
6 43
9 24
6 40
9 27
6 37
9 30
50 00
7 02
904
6 58
9 08
6 54
9 12
651
9 15
6 48
9 18
6 45
9 21
55 00
7 09
8 56
705
9.00
7 01
9 04
658
9 07
6255
9 10
6 52
9 13
60 00
7 15
8 49
7 11
853
7 07
857
7 04
9.00
7 01
9 03
658
9 06
65 00
7 22
8 42
7 18
8 46
7 14
850
7 11
853
7 08
856
7 05
859
70 00
7 27
836
7 23
8 40
7 19
8 44
7 16
8 47
7 13
850
7 10
853
75 00
7 31
8 31
7 27
8 35
7 23
8 39
7 20
8 42
7 17
845
7 14
8 48
80.00
7 37
825
7 33
8 29
7 29
8 33
7 26
8 36
7 23
8 39
7 20
842
85.00
7 41
8 20 7 37
8 24
7 33
8 28
7 30
8 31
7 27
834
7 24
8 37
90 00
7 45
8 15 +7 41
8 19 +7 37
8 23 +7 34
8 26
+7 31
8 29 +7 28
832
Day of Month.
Jan.
Feb. Mar. Apr. May. | June. July. Aug. Sept. | Oct. | Nov. Dec.
ADDITIONAL CORR.
FOR SUN'S ALT.
"
"
"/
"
1st to 15th....+18+15 +8
16th to 31st...+17 +12 | +4
8-13-14-11
-14-13
0
-4-11
"
"
"
"
-5
+3 +11 +16
-1
+7 +14 +18
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

Page 16]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
77 Feet.
78 Feet.
79 Feet.
80 Feet.
81 Feet.
82 Feet.
OBS. ALT.
*
*
*
Star's
Star's
Star's
Star's
Star's
Star's

Sun's
Sun's
Sun's
Sun's
Sun's
Sun's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(-)
(-)
(-)
(-)
(-)
(-)
/
"
//
6 30
-0 21
16 30
0 24
16 330 28
16 37
0 31
16 40
0 34
16 43
-0 37
16 46
40
-0 11
16 20
-0 14
16 23
-0 18
16 27
0 21
16 30
0 24
16 33
0 27
16 36
50
-0 01
16 10
0 04
16 13
-0 08
16 17
-0 11
16 20 -0 14
16 23
0 17
16 26
7 00
+0 09
-0.09
16 00
+0 06
16 03
+0 02
16 07-0 01
16 10-0 04
16 13
0 07
16 16
10
0 18
15 51
0 15
15 54
0 11
15 58+0 08
16 01 +0 05
16 04+0 02
16 07
20
0 27
15 42
0 24
15 45
0 20
15 49
0 17
15 52
0 14
15 55
0 11
15 58
7 30
0 36
15 33
0 33
1536
0 29
15 40
0 26
15 43
0 23
15 46
0 20
15 49
40
0 44
1525
0 41
15 28
0 37
15 32
0 34
15 35
0 31
15 38
0 28
15 41
50
0 52
15 17
0.49
15 20
0 45
15 24
0 42
15 27
0 39
15 30
036
15 33
8.00
1.00
15 09
0 57
15 12
0 53
15 16
0 50
15 19
0 47
15 22
0 44
15 25
10
1 07
15.02
1 04
15 05
100
15.09
0 57
15 12
0 54
15 15
0 51
15 18
20
1 14
14 55
1 11
14 58
1 07
15 02
1 04
15 05
1 01
15 08
058
15 11
8.30
1 21
14 48
1 18
14 51
1 14
14 55
1 11
14 58
1 08
15 01
1 05
15 04
40
128
14 41
1 25
14 44
1 21
14 48
1 18
14 51
1 15
14 54
1 12
14 57
50
1 34
14 35
1 31
14 38
1 27
14 42
1 24
14 45
1 21
14 48
1 18
14 51
9.00
140
14 29
1 37
14 32
1 33
14 36
130
14 39
1 27
14 42
1 24
14 45
20
1 52
14 17
1 49
14 20
145
14 24
142
14 27
1 39
14 30
136
14 33
40
2 03
14 06
2.00
14 09
1 56
14 13
1 53
14 16
1 50
14 19
1 47
14 22
10 00
2 14
13 55
2 11
13 58
2 07
14 02
2 04
14 05
2 01
14 08
158
14 11
20
2 24
13 45
2 21
13 48
2 17
13 52
2 14
1355
2 11
13 58
2 08
14 01
40
2 33
13.36
2 30
13 39
2 26
13 43
2 23
13 46
2 20
13 49
2 17
13 52
11 00
2 42
13 27
2 39
13 30
2 35
13 34
2 32
13 37
2 29
13 40
2 26
13 43
30
2 54
13 15
2 51
13 18
2 47
13 22
2 44
13 25
2 41
13 28
2 38
13 31
12 00
3 05
13 04
3 02
13 07
258
13 11
2 55
13 14
2 52
13 17
2 49
13 20
30
3 16
12 53
3 13
12 56
3 09
13 00
3 06
13 03
3 03
13 06
3.00
13 09
13 00
326
12 43
3 23
12 46
3 19
12 50
3 16
12 53
3 13
12 56
3 10
12 59
30
335
12 34
3 32
12 37
328
12 41
3 25
12 44
3 22
12 47
3 19
12 50
14 00
3 43
12 26
3 40
12 29
336
12 33
333
12 36
330
12 39
3 27
12 42
15 00
3 59
12 10
356
12 13
3 52
12 17
3 49
12 20
3 46
12 23
3 43
12 26
16.00
4 12
11 57
4 09
12.00
4 05
12 04
4 02
12 07
3 59
12 10
356
12 13
17 00
4 25
11 44
4 22
11 47
4 18
11 51
4 15
11 54
4 12
11 57
4 09
12 00
18 00
4 35
11 34
4 32
11 37
428
11 41
4 25
11 44
4 22
11 47
4 19
11 50
19 00
4 45
11 24
4 42
11 27
4 38
11 31
4 35
11 34
4 32
11 37
4 29
11 40
20 00
4 53
11 15
4 50
11 18
4 46
11 22
4 43
11 25
4 40
11 28
4 37
11 31
22 00
5.09
10 59
5206
11 02
5 02
11 06
4 59
11 09
4 56
11 12
4 53
11 15
24 00
5 22
10 46
5 19
10 49
5 15
10 53
5 12
10 56
509
10 59
5 06
11 02
26 00
533
10 35
5 30
10 38
5 26
10 42
5 23
10 45
5 20
10 48
5 17
10 51
28 00
5 43
10 25
5 40
10 28
5 36
10 32
533
10 35
5 30
10 38
5 27
10 41
30 00
5 51
10 17
5 48
10 20
544
10 24
5 41
10 27
5 38
10 30
535
10 33
32.00
5259
10 09
5 56
10 12
5252
10 16
5 49
10 19
5 46
10 22
543
10 25
34 00
6.06
10 02
6.03
10 05
5 59
10 09
556
10 12
5 53
10 15
5250
10 18
36.00
6 12
9 56
6 09
9 59
605
10 03
6 02
10 06
5 59
10 09
5256
10 12
38 00
6 17
9 51
6 14
9 54
6 10
958
6 07
10 01
6 04
10 04
6 01
10 07
40 00
6 22
9 45
6 19
948
6 15
9 52
6 12
9 55
6 09
9 58
6 06
10 01
45 00
6 33
9 34
6 30
9 37
6 26
9 41
6 23
9 44
6 20
9 47
6 17
9 50
50 00
6 41
9.25
6 38
9 28
6 34
9 32
6 31
935
6 28
9 38
625
9 41
55 00
6 48
9 17
6 45
9 20
6 41
924
6 38
9 27
635
9 30
6 32
9 33
60 00
6 54
9 10
6 51
9 13
6 47
9 17
6 44
9 20
6 41
923
638
9 26
65.00
7 01
9.03
658
9 06
654
9 10
651
9 13
648
9 16
6245
9 19
70 00
7 06
857
7 03
9.00
659
9 04
656
9 07
653
9 10
6 50
9 13
75.00
7 10
852
7 07
855
7 03
8 59
7 00
9.02
657
9.05
6 54
9 08
80.00
7 16
846
7 13
8 49
7 09
853
7906
856
7 03
8 59
7 00
9 02
85 00
7 20
8 41
8 44
7 17
7 13
8 48
7 10
8 51
7 07
8 54
7 04
8 57
90 00 +7 24
8 367 21
8 397 17
8 43
+7 14
8 46 +7 11
8 497 08
8 52
Day of Month.
ADDITIONAL Corr.
FOR SUN'S ALT.
Jan. Feb. Mar. Apr. May. June. July. Aug. Sept. Oct. | Nov. Dec.
1st to 15th....+18+15
//
"/
+8
0
8
+4
4 -11
-13-14
-14-13
16th to 31st...+17 +12
++
――
137
//
//
-11
-5
9
1
+3+11 +16
+7 +14 +18
*The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and meau semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

TABLE I.
[Page 17
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.
HEIGHT OF THE EYE.
83 Feet.
84 Feet.
85 Feet.
86 Feet.
87 Feet.
88 Feet.
OBS. ALT.
*
*
*
*
*
*
O
Star's
Star's
Star's
Star's
Star's
Star's
Sun's
Sun's
Sun's
Sun's
Sun's
Sun's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(-)
(-)
(-)
(-)
(-)
(-)
Table II
་
6 30-0 41
16 50
-0 44
16 53
-0 47
16 56
-0 50
1659
-0 53
17 02 -0 57
17 06
40
-0 31
16 40
-0 34
16 43
0 37
16 46
0 40
16 49
-0 43
16 52-0 47
16 56
50
-0 21
16 30-0 24
16 33
-0 27
1636
0 30
16 39
-0 33
16 42-0 37
16 46
Corr. lo
Obs'd Alt.
7 00
-0 11
16 20
-0 14
16 23
-0 17
16 26
0 20
16 29
-0 23
16 32
-0 27
16 36
of Moon.
10
-0 02
16 11-0 05
16 14
-0 08
16 17
0 11
16 20
-0 14
16 23
-0 18
16 27
20 +0 07
16 02+0 04
16 05
+0 01
16 08
-0 02
16 11 1-0 05
16 14
-0 09
16 18
7 30
0 16
15 53
0 13
15 56
0 10
15 59
+0 07
16 02+0 04
16 05 0.00
16 09
40
0 24
15 45
0 21
15 48
0 18
15 51
0 15
15 54
0 12
15 57+0 08
16 01
50
0 32
15 37
0 29
15 40
0 26
15 43
0 23
15 46
0 20
15 49
0 16
15 53
800
040
15 29
0 37
15 32
0 34
15 35
0 31
15 38
028
15 41
0 24
15 45
10
0 47
15 22
0 44
15 25
0 41
15 28
038
15 31
0 35
15 34
0 31
15 38
20
0 54
15 15
0 51
15 18
0 48
15 21
0 45
15 24
0 42
15 27
0 38
15 31
Table III
8 30
1 01
15 08
0 58
15 11
0 55
15 14
052
15 17
0 49
15 20
045
15 24
Log. Sin.
40
108
15 01
105
15 04
1 02
15 07
059
15 10
056
15 13
0 52
15 17
and
50
1 14
14 55
1 11
14 58
108
15 01
1 05
15 04
1 02
15 07
058
15 11
9.00
1 20
14 49
1 17
14 52
1 14
1455
1 11
14 58
1 08
15 01
1 04
1505
Log. Cos.
20
1 32
14 37
1 29
14 40
1 26
14 43
1 23
14 46
1 20
14 49
1 16
14 53
40
1 43
14 26
140
14 29
1 37
14 32
1 34
14 35
1 31
14 38
1 27
14 42
10 00
1 54
14 15
1 51
14 18
1 48
14 21
145
14 24
1 42
14 27
1 38
14 31

20
2 04
14 05
2 01
14 08
1 58
14 11
155
14 14
1 52
14 17
1 48
14 21
40
2 13
13 56
2 10
13 59
2 07
14 02
2 04
14 05
2 01
14 08
1 57
14 12
11 00
2 22
13 47
2 19
13.50
2 16
13 53
2 13
13 56
2 10
13 59
206
14 03
30
2 34
13 35
2 31
13 38
2 28
13 41
2 25
13 44
2 22
13 47
2 18
13 51
12 00
245
13 24
2 42
13 27
2 39
13 30
236
13 33
2 33
13 36
2 29
13 40
30
2 56
13 13
2 53
13 16
250
13 19
2 47
13 22
2 44
13 25
2 40
13 29
13 00
3 06
13 03
3 03
13 06
3.00
13 09
2 57
13 12
2 54
13 15
250
13 19
30
3 15
12 54
3 12
12 57
3 09
13.00
3906
13 03
303
13 06
2 59
13 10
14 00
3 23
12 46
3 20
12 49
3 17
1252
3 14
12 55
3 11
12 58
3 07
13 02
15 00
3 39
12 30
336
12 33
3 33
12 36
3 30
12 39
3 27
12 42
3 23
12 46
16 00
3 52
12 17
3 49
12 20
3 46
12 23
3 43
12 26
3 40
12 29
3 36
12 33
17.00
4 05
12 04
4 02
12 07
3 59
12 10
356
12 13
3 53
12 16
3 49
12 20
18.00
4 15
11 54
4 12
11 57
4 09
12 00
4 06
12 03
4 03
12 06
3 59
12 10
19 00
4 25
11 44
4 22
11 47
4 19
11 50
4 16
11 53
4 13
11 56
4.09
12 00
20 00
4 33
11 35
4 30
11 38
4 27
11 41
4 24
11 44
4 21
11 47
4 17
11 51
22 00
4 49
11 19
4 46
11 22
4 43
11 25
4 40
11 28
4 37
11 31
4 33
11 35
24 00
5 02
11 06
4 59
11 09
4256
11 12
453
11 15
4 50
11 18
4 46
11 22
26 00
5 13
10 55
5 10
10 58
5 07
11 01
5 04
11 04
5 01
11 07
457
11 11
28 00
5 23
10 45
5 20
10 48
5 17
10 51
5 14
10 54
5 11
10 57
5 07
11 01
30 00
5 31
10 37
528
10 40
5 25
10 43
5 22
10 46
5 19
10 49
5 15
1053
32 00
5 39
10 29
5 36
10 32
5 33
10 35
530
10 38
5 27
10 41
5 23
10 45
34 00
5 46
10 22
5 43
10 25
5 40 10 28
5 37
10 31
5 34
10 34
530
10 38
36 00
5 52
10 16
5 49
10 19
5 46
10 22
5 43
10 25
5 40
10 28
5 36
10 32
38.00
5 57
10 11
5 54
10 14
5 51
10 17
548
10 20
5 45
10 23
5 41
10 27
40 00
6 02
10 05
559
10 08
556
10 11
5253
10 14
550
10 17
5 46
10 21
45 00
6 13
9 54
6 10
9 57
6 07
10 00
6 04
10 03
6 01
10 06
557
10 10
50 00
6 21
945
6 18
9 48
6 15
9 51
6 12
9 54
6 09
9 57
605
10 01
55 00
628
937
6 25
·9 40
622
9 43
6 19
9 46
6 16
9 49
6 12
953
60 00
6 34
930
6 31
9 33
6 28
9 36
625
9 39
6 22
9 42
618
9 46
65 00
6 41
9 23
638
9.26
6 35
9.29
6 32
9 32
6 29
935
6 25
9 39
70 00
6 46
9 17
6 43
9 20
6 40
9 23
6 37
9 26
6 34
9 29
630
9 33
75 00
6 50
9 12
6 47
9 15
6 44
9 18
6 41
9 21
638
9 24
6 34
9 28
80 00
656
9 06
653
9 09
6250
9 12
6 47
9 15
6 44
9 18
640
9 22
85 00
7. 00
9 01 6 57
9 04
6 54
9 07
6 51
9 10
6 48
9 13
6 44
9 17
90 007 04
8 56 +7 01
859
+6 58
9 02
+6 55
9 05
+6 52
9 08
+6 48
9 12
Day of Month.
Jan.
Feb. Mar. Apr. May. June. July. Aug. Sept.
| | Oct. | Nov.
Nov. Dec.
ADDITIONAL CORR.
//
//
"/
"
"
"/
"/
//
FOR SUN'S ALT.
1st to 15th....+18 +15 +8
16th to 31st...+17 +12 +4
-5
9 -1
* The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.
0 8
-4 -11
-13-14
-14-13
11
+3 +11 +16
+7 +14 +18
63355°—17—2

Page 18]
TABLE I.
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued.

HEIGHT OF THE EYE.
89 Feet.
90 Feet.
91 Feet.
92 Feet.
93 Feet.
94 Feet.
OBS. ALT..
*
*
*
Star's
Star's
Star's
O
Sun's
Sun's
Star's
Star's
Star's
Sun's
Sun's
Sun's
Sun's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(-)
(-)
Corr.
Corr.
(-)
Corr.
Corr.
(-)
(-)
(-)
"
"
་
"
"
"
་
"
་
6 30-1 00
17 09
-1 03
17 12
-1 06
17 15-1 09
17 18
1 12
17 21
-1 15
17 24
40
-0 50
16 59
-0 53
17 02
0 56
17 05-0 59
17 08
-1 02
17 11
-1 05
17 14
50
-0 40
16 49
-0 43
16 52
0 46
16 55 1-0 49
1658
-0 52
17 01
-0 55
17 04
7 00
0 30
16 39
-0 33
16 42
0 36
16 45-0 39
16 48
-0 42
16 51
0 45
16 54
10
-0 21
16 30
-0 24
16 33
0 27
16 36
-0 30
16 39
0 33
16 42-0 36
16 45
20
-0 12
1621
0 15
16 24
0 18
16 27
-0 21
16 30
0 24
16 33-0 27
16 36
7 30
-0 03
16 12
-0 06
16 15
-0 09
16 18
0 12
16 21
0 15
16 24-0 18
16 27
40 +0 05
16 04
+0 02
16 07
0 01
16 10-0 04
16 13
0 07
16 16-0 10
16 19
50
0 13
15 56
0 10
15 59
+0 07
16 02+0 04
16 05
+0 01
16 08-0 02
16 11
8.00
0 21
15 48
0 18
15 51
0 15
15 54
0 12
15 57
0 09
16 00 +0 06
16 03
10
028
15 41
0 25
15 44
0 22
15 47
0 19
15 50
0 16
15 53
0 13
15 56
20
0 35
15 34
0 32
15 37
0 29
15 40
0 26
15 43
0 23
15 46
0 20
15 49
8.30
0 42
15 27
0 39
15 30
0 36
15 33
0 33
15 36
030
15 39
0 27
15 42
40
0 49
15 20
0 46
15 23
0 43
15 26
0 40
15 29
0 37
15 32
0 34
15 35
50
0 55
15 14
0 52
15 17
0 49
15 20
0 46
15 23
0 43
1526
0 40
15 29
9.00
1 01
15 08
0 58
15 11
0 55
15 14
0 52
15 17
0 49
15 20
0 46
15 23
20
1 13
14 56
1 10
14 59
1 07
15 02
1 04
15 05
1 01
15 08
0 58
15 11
40
1 24
14 45
1 21
14 48
1 18
14 51
115
14 54
1 12
14 57
1 09
15 00
10 00
1 35
14 34
1 32
14 37
1 29
14 40
126
14 43
1 23
14 46
1 20
14 49
20
145
14 24
1 42
14 27
1 39
14 30
1 36
14 33
133
14 36
1 30
14 39
•
40
154
14 15
1 51
14 18
1 48
14 21
1 45
14 24
1 42
14 27
1 39
14 30
11 00
2 03
14 06
2.00
14 09
1 57
14 12
154
14 15
1 51
14 18
1 48
14 21
30
2 15
13 54
2 12
13 57
2. 09
14 00
2 06
14 03
2 03
14 06
2.00
14 09
12 00
2 26
13 43
2 23
13 46
2 20
13 49
2 17
13 52
2 14
13 55
2 11
13 58
30
2 37
13 32
2 34
13 35
2 31
13 38
2 28
13 41
2 25
13 44
2 22
13 47
13 00
2 47
13 22
2 44
13 25
2 41
13 28
2 38
13 31
235
13 34
2 32
13 37
30
256
13 13
2 53
13 16
2.50
13 19
2 47
13 22
2 44
13 25
2 41
13 28
14.00
3 04
13 05
3 01
13 08
258
13 11
2 55
13 14
2 52
13 17
2 49
13 20
15 00
3 20
12 49
3 17
12 52
3 14
12 55
3 11
12 58
3 08
13 01
3 05
13 04
16 00
3 33
12 36
3.30
12 39
3 27
12 42
3 24
12 45
3 21
12 48
3 18
12 51
17 00
346
12 23
.3 43
12 26
340
12 29
3 37
12 32
3 34
12 35
3 31
12 38
18 00
3 56
12 13
353
12 16
3 50
12 19
347
12 22
3 44
12 25
3 41
12 28
19 00
4 06
12.03
4 03
12.06
4.00
12 09
3 57
12 12
3 54
12 15
3 51
12 18
20 00
4 14
11 54
4 11
11 57
4 08
12 00
4 05
12 03
4 02
12 06
3 59
12 09
22 00
4 30
11 38
4 27
11 41
4 24
11 44
4 21
11 47
4 18
11 50
4 15
11 53
24 00
4 43
11 25
4 40
11 28
4 37
11 31
4 34
11 34
4 31
11 37
428
11 40
26 00
4 54
11 14
4 51
11 17
4 48
11 20
4 45
11 23
4 42
11 26
4 39
11 29
28.00
5 04
11 04
5 01
11 07
4 58
11 10
4255
11 13
4 52
11 16
4 49
11 19
30 00
5 12
10 56
5 09
10 59
5 06
11 02
5 03
11 05
5.00
11 08
4 57
11 11
32 00
5 20
10 48
5 17
10 51
5 14
10 54
5 11
10 57
5 08
11.00
5 05
11 03
34 00
5 27
10 41
5 24
10 44
5 21
10 47
5 18
10 50
5 15
10 53
5 12
10 56
36.00
5 33
10 35
530
10 38
5 27
10 41
5 24
10 44
5 21
10 47
5 18
10 50
38.00
5 38
10 30
5 35
10 33
5 32
10 36
5 29
10 39
5 26
10 42
5 23
10 45
40 00
5 43
10 24
5940
10 27
5 37
10 30
534
10 33
5 31
10 36
528
10 39
45 00
5 54
10 13
5 51
10 16
5 48
10 19
545
10 22
5 42
10 25
5 39
10 28
50 00
6 02
10 04
5 59
10 07
556
10 10
5 53
10 13
5250
10 16
5 47
10 19
55 00
6 09
9 56
6 06
9 59
6 03
10 02
6 00
1005
5 57
10 08
5 54
10 11
60 00
6 15
9 49
6 12
9 52
6 09
9 55
6 06
958
6 03
10 01
6 00
10 04
65 00
6 22
9 42
6 19
945
6 16
9 48
6 13
9 51
6 10
9 54
6 07
9 57
70 00
6 27
9 36
6 24
9 39
6 21
9 42
618
9 45
615
948
6 12
9 51
75 00
6 31
9 31
6 28
9 34
6 25
9 37
6 22
9 40
6 19
9 43
6 16
946
80 00
6 37
9.25
6 34
9 28
6 31
9 31
628
9 34
6225
9 37
6 22
9.40
85 00
6 41
9 20
6 38
9 23
635
9 26
6 32
9 29
6 29
9 32
6 26
9 35
90 00 +6 45
9 15 +6 42
9 186 39
9 21+6 36
9 24
+6 33
9 27
+6 30
930
Day of Month.
Jan. Feb. Mar. Apr. May. June. July. Aug. Sept. Oct.
Nov. Dec.
ADDITIONAL Corr.
FOR SUN'S ALT.
//
//
"
"/
"
"
"
"
"
"
1st to 15th....+18+15
16th to 31st..+17 +12
+8
0
+4
-14
8-13
-4 11 -14 -13
-11 -5
9 -1
+3 +11 +16
+7 +14 +18
*The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
taking account of thev ariation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

TABLE I.
[Page 19
Corrections* to be Applied to the Observed Altitude of a Star or of the Sun's Lower Limb, to Find
the True Altitude-Continued..
HEIGHT OF THE EYE.
95 Feet.
96 Feet.
97 Feet.
98 Feet.
99 Feet.
100 Feet.
OBS. ALT.
*
O
Star's
Star's
Star's
Star's
Star's
Star's
Sun's
Sun's
Sun's
Sun's
Sun's
Sun's
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
Corr.
(-)
(-)
(-)
(-)
(-)
(-)
Table II
//
"/
"/
"
6 30
-1 18
40-1 08
50
-0 58
7 00
0 48
17 27 -1 21
17 17 1 11
17 07-1 01
16 57 -0 51
17 30-1 24
17 20-1 14
17 10-1 04
17 33-1 27
17 23 -1 17
17 13 -1 07
17 361 30
17 39
-1 33
17 42
17 26 -1 20
17 29
-1 23
17 32
Corr. to
Obs'd Alt.
17 16-1 10
17 19
-1 13
17 22
17 000 54
17 03-0 57
17 06
-1 00
17 09
-1 03
17 12
of Moon.
10
0 39
16 48
-0 42
16 51
-0 45
16 54
-0 48
16 57
-0 51
17 000 54
17 03
20
-0 30
16 39
-0 33
16 42
-0 36
16 45
-0 39
16 48
-0 42
16 51 -0 45
16 54
7 30
0 21
16 30
-0 24
16 33
-0 27
16 36
-0 30
16 39
-0 33
16 42-0 36
16 45
40
0 13
16 22
-0 16
16 25
-0 19
16 28
-0 22
16 31
-0 25
16 34
-0 28
16 37
50
-0 05
16 14
-0 08
16 17
-0 11
16 20
0 14
16 23
-0 17
16 26
-0 20
16 29
8 00 +0 03
16 06
0.00
16 09
-0 03
16 12
-0 06
16 15
-0 09
16 18 -0 12
16 21
10
0 10
15 59
+0 07
16 02+0 04
16 05
+0 01
16 08-0 02
16 11-0 05
16 14
Table III
20
0 17
15 52
0 14
15 55
0 11
15 58
0 08
16 01 +0 05
16 04 +0 02
16 07
8 30
0 24
15 45
0 21
15 48
0 18
15 51
0 15
15 54
0 12
15 57
0 09
16 00
Log. Sin.
40
0 31
15 38
0 28
15 41
0 25
15 44
0 22
15 47
0 19
1550
0 16
15 53
and
50
0 37
15 32
0 34
15 35
0 31
15 38
0 28
15 41
0 25
15 44
0 22
15 47
9 00
10 00
8282
0 43
1526
0 40
15 29
0 37
15 32
0 34
15 35
0 31
15 38
0 28
15 41
Log. Cos.
20
055
15 14
0 52
15 17
0 49
15 20
0 46
15 23
0 43
15 26
0 40
15 29
40
106
15 03
1 03
15 06
1 00
15 09
0 57
15 12
0 54
15 15
0 51
15 18
1 17
14 52
1 14
1455
1 11
14 58
1 08
15 01
105
15 04
1 02

15 07
20
1 27
14 42
1 24
14 45
1 21
14 48
1 18
14 51
1 15
14 54
1 12
14 57
40
136
14 33
1 33
14 36
1 30
14 39
1 27
14 42
1 24
14 45
1 21
14 48
11 00
1 45
14 24
1 42
14 27
1 39
14 30
1 36
14 33
1 33
14 36
1 30
14 39
30
1 57
14 12
1 54
14 15
1 51
14 18
1 48
14 21
1 45
14 24
1 42
14 27
12 00
2 08
14 01
2.05
14 04
2 02
14 07
1 59
14 10
1 56
14 13
153
14 16
30
2 19
13 50
216
13 53
2 13
13 56
2 10
13 59
2 07
14 02
2. 04
14 05
13 00
2 29
13 40
2 26
13 43
2 23
13 46
2 20
13 49
2 17
13 52
2 14
13 55
30
2 38
13 31
2 35
13 34
2 32
13 37
2 29
13 40
2 26
13 43
2 23
13 46
14 00
2 46
13 23
2 43
13 26
2 40
13 29
2 37
13 32
2 34
13 35
2 31
13 38
15 00
3 02
13 07
2 59
13 10
2 56
13 13
2 53
13 16
250
13 19
2 47
13 22
16 00
3 15
12 54
3 12
12 57
3 09
13 00
3 06
13 03
3 03
13 06
3 00
13 09
17 00
3 28
12 41
3 25
12 44
3 22
12 47
3 19
12 50
3 16
12 53
3 13
12 56
18 00
3 38
12 31
3 35
12 34
3 32
12 37
3 29
12 40
3 26
12 43
3 23
12 46
19 00
348
12 21
345
12 24
3 42
12 27
3 39
12 30
336
12 33
3 33
12 36
20 00 3 59
12 12
3 53
12 15
3 50
12 18
3 47
12 21
3 44
12 24
3 41
12 27
22 00
4 12
11 56
4 09
11 59
4 06
12 02
4 03
12 05
4 00
12 08
3 57
12 11
24 00 4 25
11 43
4 22
11 46
4 19
11 49
4 16
11 52
4 13
1155
4 10
11 58
26 00
4 36
11 32
4 33
11 35
4 30
11 38
4 27
11 41
4 24
11 44
4 21
11 47
28 00
4 46
11 22
4 43
11 25
4 40
11 28
4 37
11 31
4 34
11 34
4 31
11 37
30 00
4.54
11 14
4 51
11 17
4 48
11 20
4 45
11 23
4 42
11 26
4 39
11 29
32 00
502
11 06
4 59
11 09
4 56
11 12
4 53
11 15
4 50
11 18
4 47
11 21
34 00
5 09
10 59
5 06
11 02
5 03
11 05
5 00
11 08
4 57
11 11
4 54
11 14
36 00
5 15
1053
5 12
10 56
5 09
10 59
5 06
11 02
5203
11 05
5 00
11 08
38 00
5 20
10 48
5 17
10 51
5 14
10 54
5 11
10 57
508
11 00
5 05
11 03
40 00
5 25
10 42
5 22
10 45
5 19
10 48
5 16
10 51
5 13
10 54
5 10
10 57
45 00
536
10 31
5 33
10 34
530
10 37
5 27
10 40
50 00
5 44
10 22
5 41
10 25
538
10 28
5 35
10 31
55 00
5 51
10 14
548
10 17
5 45
10 20
5 42
10 23
60 00
5 57
10 07
5 54
10 10
5 51
10 13
548
10 16
LO LO LO LO
5 24
10 43
5 21
10 46
5 32
10 34
5 29
10 37
5 39
10 26
5 36
10 29
5 45
10 19
5 42
10 22
65 00
6 04
10 00
6 01
10 03
5 58
10 06
5 55
10 09
5252
10 12
5 49
10 15
70 00
6 09
9 54
6 06
9 57
6 03
10 00
6 00
10 03
5257
10 06
5 54
10 09
75 00
6 13
9 49
6 10
9 52
6 07
9 55
6 04
9 58
6 01
10 01
5 58
10 04
80 00
6 19
9 43
6 16
9 46
6 13
9 49
6 10
9 52
6 07
9 55
6 04
9 58
85 00
6 23
9 38 6 20
9 41
6 17
9 44
6 14
9 47
6 11
950
6 08
9 53
90 00
6 27
9 33 +6 24
9 36 +6 21
9 39+6 18
9 42
+6 15
9 45 +6 12
9 48
Day of Month.
Jan. Feb. Mar. Apr. May. June. July. Aug.
Sept. Oct. Nov. Dec.
ADDITIONAL CORR.
!!
//
"
"/
"
"/
"
"
FOR SUN'S ALT.
1st to 15th....+18 +15
+15+8 0 8-13-14
16th to 31st...+17 +12
+4
-4 -11 -14 -13
*The corrections for the observed altitude of a Star or Planet involves the dip and the refraction; and for the observed altitude
of the Sun's lower limb, the dip, refraction, parallax, and mean semidiameter, which is taken as 16'. A supplementary correction
-11
-5
+3 +11 +16
9
-1
+7 +14 +18
taking account of the variation of the Sun's semidiameter in the different months of the year is given at the foot of the main table.

>
?
Table II
Corr. to
Obs'd Alt.
of Moon.
TABLE II
CORRECTIONS TO BE APPLIED TO
THE OBSERVED ALTITUDE OF THE
MOON'S UPPER LIMB, AND ALSO OF
THE LOWER LIMB
The height of the eye is assumed to be 35 feet, and the cor-
rection for other elevations is given at the bottom of the table,
and is to be added or subtracted according as the height of the
eye is less or greater than 35 feet
Table III
Log. Sin.
and
Log. Cos.

21

Page 22]
TABLE II.
Corrections for the Observed Altitudes of the Moon's Lower Limb.
OBS. ALT.
LOWER
LIMB.
HORIZONTAL PARALLAX.
54'
55'
56'
571
58'
59'
60'
61'
"/
"
"
"
"
"
5 30
53 46
55 03
56 19
57 36
58 53
60 09
61 27
62 44

6 00 A
6 302
ADD
54
22
55 38
56 54
58 11
59 28
60 44
62 01
63 18
54
51
56 08
57 24
58 40
59 57
61 13
62 29
63 46
7.00
55 17
56 33
57 50
59 06
60 22
61 38
62 54
64 11
7 30
55 39
56 55
58 12
59 28
60 44
62 00
63 16
64 33
8 00
55 58
57 15
58 31
59 47
61 03
62 19
63 36
64 52
8.30
56 15
57 31
58 47
60 03
61 19
62 35
63 52
65 08
9 00
56 29
57 45
59 01
60 16
61 33
62 49
64 05
65 20
9 30
56 42
57 58
59 13
60 29
61 45
63 01
64 17
65 32
10 00
56 54
58 10
59 25
60 40
61 56
63 11
64 27
65 43
11
12
13
14
15
16
17
18
19
20
21
22
23
24
26
31
51
60
61
62
63
HE BEE ON 222 2** *27 228 7** *100 100 *** *** ON* 987 997 385 488 508
57 10
58 26
59 41
60 56
62 12
63 27
64 43
65 58
57 22
58 37
59 52
61 07
62 23
63 39
64 54
66 09
11
57 29
58 45
59 59
61 14
62 30
63 45
65 00
66 15
57 35
58 50
60 04
61 18
62 33
63 48
65 03
66 17
57 35
58 50
60 04
61 18
62 33
63 48
65 03
66 17
57 33
58 47
60 01
61 15
62 30
63 45
64 59
66 13
57 30
58 44
59 57
61 11
62 25
63 39
64 53
66 07
57 22
58 36
59 49
61 03
62 17
63 31
64 45
65 59
57 15
58 28
59 41
60 54
62 08
63 21
64 35
65 49
57 05
58 18
59 31
60 44
61 57
63 10
64 23
65 36
56 53
58 06
59 18
60 31
61 44
62 56
64 09
65 22
56 40
57 52
59 03
60 15
61 28
62 40
63 53
65 05
56 26
57 38
58 49
60 00
61 12
62 24
63 36
64 48
56 09
57 20
58 31
59 42
60 54
62 06
63 18
64 29
25
55 51
57 02
58 13
59 24
60 36
61 47
62 58
64 08
55 32
56 43
57 53
59 03
60 14
61 25
62 36
63 46
55 12
56 22
57 32
58 41
59 51
61 01
62 12
63 22
54 51
56 00
57 09
58 18
59 29
60 38
61 48
62 57
54 28
55 37
56 46
57 55
59 05
60 14
61 23
62 33
30
54 04
55 13
56 21
57 29
58 38
59 47
60 56
62 05
53 39
54 47
55 55
57 03
58 12
59 20
60 28
61 36
32
53 14
54 22
55 29
56 36
57 44
58 52
60 00
61 07
52 47
53 54
55 01
56 08
57 15
58 22
59 29
60 36
34
52 20
53 26
54 31
55 37
56 44
57 50
58 57
60 03
35
51 51
52 56
54 01
5506
56 12
57 18
58 24
59 30
51 21
52 26
53 30
54 35
55 41
56 46
57 51
58 55
37
50 51
51 54
52 57
54 02
55 07
56 12
57 17
58 22
38
50 19
51 23
52 26
53 29
54 33
55 37
56 41
57 45
49 47
50 50
51 52
52 55
53 58
55 02
56 05
57 08
49 13.
50 15
51 16
52 18
53 21
54 24
55 27
56 30
48 38
49 40
50 41
51 43
52 45
53 47
54 49
55 50
48 03
49 04
50 04
51 05
52 07
53 09
54 11
55 12
47 28
48 28
49 28
50 29
51 30
52 29
53 30
5430
46 51
47 51
48 49
49 49
50 49
51 48
52 48
53 47
46 13
47 12
48 10
49 09
50 09
51 08
52 07
53 06
45 35
46 33
47 30
48 28
49 27
50 26
51 24
52 22
47
44 55
45 53
46 50
47 48
48 46
49 43
50 41
51 38
48
44 15
45 13
46 09
47 06
48 03
48 59
49 56
50 52
43 36
44 32
45 27
46 23
47 19
48 15
49 11
50 06
50
42 54
43 50
44 44
45 39
46 34
47 30
48 25
49 20
42 12
43 07
44 01
44 55
45 50
46 44
47 38
48 32
41 30
42 23
43 16
44 09
45 04
45 57
46 51
47 44
40 46
41 39
42 31
43 24
44 17
45 09
46 02
46 54
40 02
40 54
41 45
42 37
43 30
44 21
45 13
46 04
39 17
40 09
40 59
41 50
42 42
43 32
44 23
45 14
38 33
39 23
40 13
41 02
41 53
42 44
43 34
44 24
57
37 47
38 37
39 26
40 14
41 04
41 53
42 43
43 32
37 01
37 50
38 38
39 25
40 14
41 03
41 52
42 39
36 15
37 03
37 49
38.36
39 24
40 11
40 59
41 46
35 28
36 15
37 00
37 46
38 34
39 20
40 06
40 52
34 39
35 25
36 10
36 56
37 42
38 27
39 13
39 58
33 50
34 35
35 19
36 04
36 49
37 34
38 19
39 03
33 02
33 46
34 29
35 13
35 57
36 41
37 25
38 08

TABLE II.
[Page 23
Corrections for the Observed Altitudes of the Moon's Lower Limb.
HORIZONTAL PARALLEX.
OBS. ALT.
LOWER
LIMB.
54'
55'
56'
57'
58'
'59'
60'
61'
о
//
"
"/
"
"
76
78
79
80
81
82
83
86
87
89
90
250 500 272 27 27 28 2** *85 888
64
32 13
32 56
33 38
34 21
35 05
35 47
36 30
37 13
65
31 23
32 06
32 47
33 28
34 11
34 52
35 34
36 16
66
30 33
31 14
31 54
32 35
33 17
33 57
34 38
35 19
67
29 42
30 22
31 01
31 41
32 22
33 01
33 41
34 21
68
28 51
29 31
30 09
30 47
31 27
32 06
32 45
33 24
69
27 59
28 38
29 15
29 53
30 32
31 10
31 48
32 26
70
27 07
27 46
28 22
28 59
29 36
30 14
30 51
31 27
71
26 15
26 52
27 27
28 04
28 40
29 16
29 53
30 28
25 23
25 58
26 32
27 08
27 43
28 19
28 54
29 28
73
24 30
25 05
25 38
26 12
26 46
27 21
27 55
28 29
74
23 37
24 11
24 43
25 16
25 49
26 22
26 56
27 28

22 44
23 16.
23 47
24 19
24 53
25 25
25 57
26 28
21 51
22 22
22 52
23 23
23 55
24 26
24 57
25 27
77
20 57
21 27
21 56
22 26
22 57
23 27
23 57
24 26
20 02
20 32
21 00
Table III
21 29
21 59
22 27
22 56
23 25
19 08
19 36
20 04
20 31
21 00
21 27
21 56
22 23
Log. Sin.
18 13
18 41
19 07
19 33
20 01
20 27
20 55
21 22
and
17 19
17 45
18 10
18 35
19 02
19 27
19 55
20 21
Log. Cos.
16 24
16 49
17 13
17 37
18 03
18 28
18 54
19 18
15 29
15 53
16 16
16 40
17 04
17 27
17 52
18 16
14 33
14 57
15 19
15 42
16 05
16 27
16 50
17 13
13 38
14 00
14 21
14 43
15 05
15 27
15 49
16 10
12 43
13 04
13 24
13 45
14 06
14 27
14 48
15 08
11 47
12 08
12 26
12 46
13 06
13 26
13 46
14 05
10 52
11 11
11 28
11 47
12 06
12 24
12 44
13 02
9 56
10 15
10 31
10 49
11 07
11 24
11 42
11 59
9 00
9 18
9 34
9 50
10 07
10 23
10 41
10 57

HEIGHT OF EYE CORRECTION.
Height in feet.
Correction.
*****22222AHG9OBOURrobang
+2 42
+2 24
+2 08
+1 53
+1 39
+1 25
+1 12
+1 00
+0 48
+0 37
+0 26
0 00
-0 24
0 48
-1 08
-1 28
-1 47
-2 06
-2 24
-2 41
-2 58
-3 14
90
-3 30
-3 45
100
-4 00

Page 24]
TABLE II.
Corrections for the Observed Altitude of the Moon's Upper Limb.
HORIZONTAL PARALLAX.
OBS. ALT.
UPPER
LIMB.
54'
55'
56'
57
58'
59'
60'
61'
"
5 30
23 38
24 21
25 05
25 48
26 31
27 13
27 56
28 38
6 00
630
ADD
24 18
25 01
25 44
26 27
27 10
27 54
28 37
29 19
24 52
25 35
26 18
27 02
27 44
28 28
29 11
29 54
7 00
25 21
26 04
26 48
27 31
28 13
28 57
29 40
30 24
7 30
25 47
26 30
27 13
27 56
28 39
29 22
30 05
30 48
8 00
26 09
26 52
27 35
28 18
29 01
29 44
30 27
31 09
8 30
26 28
27 11
27 54
28 37
29 20
30 03
30 46
31 28
9 00
26 45
27 27
28 10
28 53
29 36
30 19
31 02
31 44
9.30
27 00
27 42
28 24
29 06
29 49
30 32
31 15
31.57
11
12
13
14
15
16
17
18
20
21
23
THE BEE ON 222 2** *** *** *** *** *** ** *** *** 085 NON 285 888 7NX
10 00
27 10
27 53
28 36
29 19
30 01
30 44
31 27
32 09

27 31
28 13
28 55
29 38
30 21
31 03
31 46
32 28
27 45
28 27
29 10
29 52
30 34
31 16
31 58
32 40
27 54
28 36
29 18
30 00
30 42
31 24
32 07
32 49
27 59
28 40
29 22
30 05
30 47
31 29
32 11
32 52
28 01
28 42
29 24
30 06
30 48
31 30
32 11
32 52
28 01
28 42
29 23
30 04
30 45
31 27
32 09
32 50
27 58
28 39
29 20
30 01
30 42
31 23
32 04
32 45
27 51
28 32
29 13
29 54
30 34
31 15
31 55
32 35
19
27 44
28 24
29 05
29 45
30 26
31 06
31 46
32 26
27 34
28 13
28 54
29 34
30 14
30 54
31 34
32 15
27 23
28 03
28 43
29 23
30 02
30 41
31 21
32 01
22
27 10
27 49
28 29
29 08
29 47
30 27
31 06
31 45
26 55
27 33
28 12
28 52
29 30
30 09
30 49
31 27
24
26 39
27 17
27 56
28 35
29 13
29 52
30 31
31 10
25
26 22
27 00
27 38
28 17
28 55
29 33
30 11
30 48
26
26 03
26 40
27 18
27 56
28 34
29 12
29 49
30 26
27
25 43
26 20
26 58
27 36
28 12
28 49
29 26
30 03
28
25 21
25 58
26 35
27 12
27 48
28 25
29 03
29 39
29
24 59
25 35
26 12
26 48
27 24
28 01
28 37
29 12
30
24 36
25 11
25 47
26 24
26 59
27 35
28 10
28 46
31
24 12
24 47
25 22
25 57
26 32
27 07
27 43
28 18
32
23 45
24 20
24 55
25 30
26 04
26 39
27 14
27 48
33
23 19
23 53
24 27
25 01
25 35
26 09
26 43
27 17
22 51
23 24
23 58
24 32
25 05
25 39
26 12
26 45
35
22 22
22 55
23 28
24 01
24 34
25 07
25 40
26 12
36
21 53
22 25
22 58
23 30
24 02
24 34
25 07
25 39
37
21 23
21 54
22 26
22 58
23 29
24 00
24 31
25 03
38
20 51
21 22
21 53
22 24
22 54
23 25
23 56
24 28
39
20 19
20 49
21 20
21 50
22 20
22.50
23 20
23 50
40
19 46
20 15
20.45
21 15
21 45
22 14
22 43
23 12
41
19 11
19 40
20 09
20 38
21 06
21 35
22 04
22 33
42
18 37
19 05
19 33
20 01
20 29
20 57
21 25
21 54
18 00
18 27
18 55
19 23
19 50
20 18
20 45
21 13
44
17 24
17.50
18 17
18 45
19 11
19 37
20 04
20 32
45
16 46
17 12
17 38
18 04
18 30
18 56
19 22
19 48
46
16 07
16 33
16 58
17 24
17 49
18 14
18 40
19 05
47
15 28
15 53
16 18
16 43
17 07
17 32
17 57
18 21
48
14 48
15 12
15 36
16 00
16 24
16 48
17 12
17 36
14 07
14 31
14 55
15 17
15 40
16 04
16 27
16 50
13 26
13 49
14 11
14 34
14 56
15 19
15 41
16 03
51
12 44
13 06
13 27
13 49
14 10
14 32
14 54
15 15
52
12 02
12 23
12 44
13 05
13 25
13 46
14 07
14 27
53
11 19
11 39
11 59
12 19
12 38
12 59
13 19
13 38
54
10 36
10 54
11 13
11 32
11 51
12 11
12 30
12 49
55
9 51
10 09
10 27
10 45
11 03
11 23
11 41
11 59
56
9.06
9 23
9 40
9 58
10 15
10 32
10 49
11 06
57
8 21
8 37
8 53
9 10
9 26
9 43
9 59
10 15
7 35
7 50
8 05
8 21
8 36
8 52
9 07
9 22
59
€ 48
7 02
7 17
7 32
746
8 01
8 16
8 30
60
6 00
6 13
6 27
6 41
6 55
7 09
7 23
7 36
61
5 12
5 24
5 37
5 50
6 04
6 17
6 29
6 42
62
4 23
4 35
4 48
5 00
5 12
5 23
5 35
5 46
63
3 35
3 46
3 57
4 08
4 19
4 30
4 40
4 51

TABLE II.
[Page 25
Corrections for the Observed Altitude of the Moon's Upper Limb.
HORIZONTAL PARALLAX.
OBS. ALT.
UPPER
LIMB.
54'
55'
56'
57'
58'
59'
60'
61'
88888 ♡♡♡♡♡ *** ♡♡I ZIL JI~ ~NY 882 862.
·
•
"
64
2 46
2 56
3 06
3 16
3 26
3 36
3 46
3 56
65
1 56
2. 04
2 13
2 23
2 32
2 42
2 51
3 00
66
1 06
1 14
1 22
1 31
1 39
1 47
1 55
2 03
67
0 16
0 22
0 29
0 37
0 44
0 51
0 58
1 06
68
0 36
0 30
0 24
0 17
0 11
0 04
0 02
0 08
69
1 27
1 22
1 17
1 11
1 06
1 02
0 57
0 51
70
71
72
73
SUBTRACT
2 19
2 15
2 11
2 06
2 02
158
1 54
1 50
3 11
3 08
3 05
3 01
2 58
2 55
2 52
2 48
4 03
4 01
359
3 56
3 54
3 52
3 50
3 48
4 55
4 56
4 54
4 52
4 51
4 50
4 49
4 47
74
5 49
5 50
5 49
5 48
5 48
5 48
5 48
5 47
75
6 43
6 44
6 44
6 45
6 46
6 47
6 48
6 48
76
7 37
7 39
7 40
7 42
7 44
7 45
7 47
7 49
77
8 31
8 34
8 37
8 39
8 42
8 44
8 47
850
Table III
78
9 25
9 29
9 33
936
9 40
9 44
9 48
9 51
79
10 19
10 24
10 29
10 33
10 38
10 43
10 48
10 52
80
11 13
11 20
11 26
11 31
11 37
11 43
11 49
11 54
Log. Sin.
and
81
12 08
12 15
12 22
12 28
12 35
12 42
12 50
12 57
Log. Cos.
82
13 03
13 11
13 19
13 27
13 34
13 43
13 51
13 59
83
13 58
14 07
14 16
14 25
14 34
14 43.
14 52
15 01
84
14 53
15 04
15 14
15 23
15 33
15 44
15 54
16 03

85
15 48
16 00
16 11
16 21
16 33
16 44
16 55
17 06
86
16 44
16 57
17 09
17 20
17 32
17 45
17 57
18 08
87
17 39
17 53
18 06
18 18
18 32
18 45
18 59
19 11
18 35
18 50
19 04
19 18
19 32
19 46
20 00
20 14
19 31
19 47
20 02
20 16
20 31
20 47
21 03
21 17
90
20 26
20 43
21 00
21 15
21 31
21 48
22 04
22 20

HEIGHT OF EYE CORRECTION.
Height in feet.
Correction.
"
10
+2 42
12
+2 24
14
+2 08
16
+1 53
18
+1 39
20
+1 25
22
+1 12
24
+1 00
26
+0 48
28
+0 37
100
ŽABKONJRSAOAAKU
30
+0 26
0 00
-0 24
-0 48
-1 08
-1 28
-1 47
-2 06
70
-2 24
75
-2 41
-2 58
85
-3 14
90
-3 30
95
-3 45
-4 00

Table III
TABLE III
LOGARITHMIC SINES
AND
LOGARITHMIC COSINES
27
Log. Sin.
and
Log. Cos.


Page 28]
TABLE III.
0° 0'
Add
for Tan.
0° 10'
Add
for Tan.
0° 20'
Add
for Tan.
0° 30'
PPV
Log. Sines.
for Tan.
0° 40'
Add
for Tan.
0° 50'
Add
for Tan.
1° 0'
Add
for Tan.
1° 10'
Add
for Tan.
1° 20'
Add
for Tan.
+ O'
7.46373
10"
20
30
.48491 0
0 7.76475 1 7.94084
5.68557 0 .47090 0 .76836 1 7.94325
5.98660 0 .47797 0 .77193 1 7.94564
6.16270 0
.77548 1
7.94802
40
6.28763 0
.49175 0
50
6.38454 0
.49849 0
77899 1
.78248
1
7.95039
7.95274
22222
28.06578
.06758
.06938
.07117
3 8.16268 5 8.24186
.07295
CD CD CD ∞ ∞
3
3
.16413 5 .24306
.16557 5.24426
7 8.30879
7.30983
9 8.36678 12
3
.16700 5 .24546
3 .16843 5
.24665
.07473 3 .16986 5
.24785
7 .31086 9
7.31188 9
.36768 12
.36858 12
.36948 12
7.31291 9 .37038 12
7.31393 9 .37128 12
9
2 22222
+ 1'
6.46373 0
.50512 0
.78594 1
7.95508 2 .07650 3
.17128
10"
6.53067 0
20
6.58866 0
30
6.63982 0
40
6.68557 0
.51808
.52442
.53067 0
.51165 0
0
.78938 1
79278 1
7.95741
50
6.72697 0
.53683 0
7.95973
79616 1 7.96203
.79952 1 7.96432
.80284 1 7.96660
22222
.07826 3 .17270
.08002 3 .17411
er er
сл
5
24903
7.31495 9
.37217 12
5 .25022
5 .25140
.08176 3 .17552 5 .25258
.08350 3 .17692 5 .25375
.08524 3 17832 5 .25493
+ 2'
6.76476 0
.54291 0
.80615 1
7.96887
2
10"
6.79952 0
20
6.83170 0
.54890 0
.55481 0
30
6.86167 0
.56064 0
40
6.88969 0
.56639 0
50
6.91602 0
.57206 0
.80942 1 7.97113
.81268 1 7.97337
.81591 1 7.97560
.81911 1 7.97782
.82229 1 7.98003
22222
+ 3'
6.94085 0
.57767 0
.82545 1 7.98223
2
.08696 3
.08868 3
.09040 3
.09210 3
.09380 3
.09550 3
09718 3
.17971 5
.25609 7 .32103
7 .31597 9 .37306
7.31699 9 .37395
7 .31800 9 .37484
7.31901 9 .37573
7.32002 9 .37662
10.37750 | 12
22222
.18110 5 .25726 7 .32203 10 .37838
.18249 5 .25842 7 .32303 10 .37926
.18387 5 .25958 7 .32403 10 .38014
LO
.18524 5 .26074 7 .32503 10 .38101
.18662 5 1.26189 7 .32602 10 .38189
.18798
LO
5
.26304
10"
6.96433 0
.58320
20
6.98660
.58866
30
7.00779 0
.59406 0
40
7.02800 0
.59939 0
50
7.04730 0
.60465 0
+ 4'
7.06579 0
.60985 0
.82859 1 7.98442
.83170 1 7.98660
.83479 1 7.98876
.83786 1 7.99092
.84091 1 7.99306
.84393 1
22222
7.99520 2
.09886 3
.10054 3
.10220 3
.10386 4
.10552 4
.10717
ww
.18935
.19071
་
4
.19206 5
.19341 5
.19476 5
.19610
LO LO LO
5
.26419
5
26533
•
.26648
.26761
.26875
777∞ ∞
7
199 A 99AAA
22333
7.32702 10 .38276 13
.32801 10 .38363 13
.32899
.32998
10
.38450 13
.38537 13
5
LO
26988
10" 7.08351 0
20 7.10055 0
30 7.11694 0
61499 0
.62007 0
.84694 1 7.99732
.62509 0
40
7.13273 0
50
7.14797 0
.63006
.63496
.84992 1 7.99943
.85289 1 8.00154
.85583 1 8.00363
.85876 1 8.00571
22222
.10881 4
.11044 4
.11207 4
.11370 4
.11531 4
►
+ 5'
7.16270 0
.63982 0
.86166 1 8.00779 2 .11693 4
10" 7.17694 0
.64461 0
.86455 1 8.00985
20
7.19072 0
.64936
.86741 1 8.01190
30
7.20409 0
.65406
40
7.21705 0
50 7.22964 0 .66330
.65870 0
.87026 1 8.01395
.87309 1 8.01598
.87590 1 8.01801
22222
+ 6'
7.24188 0
.66784 0
.87870
1 | 8.02002 2
10" 7.25378 0
20 7.26536 0
30 7.27664 0
67235 0
•
40
50
+ "'
7.28763 0
7.29836 0
7.30882 0
.67680 0
.68121
.68557 1
.68989
.88147 1 8.02203
.88423 1 8.02402
.88697 1 8.02601
.88969 1 8.02799
.89240 1 8.02996
22222
.69417 1
10"
20
7.31904 0 69841 1
7.32903 0 .70261 1
.90041
30
7.33879 0 .70676 1
.90305
40
7.34833 0 .71088 1
.90568
50
7.35767 0 .71496 1
90829
+ 8'
7.36682 0 .71900 1
.91088
10"
20
www ww
+9' 7.41797 0 .74248 1 .92612
10"
20
7.42594 0 .74627 1 .92861
7.43376 0 .75003 1 .93108
30
40
50
7.44145 0 .75376 1 .93354
7.44900 0 .75745 1 .93599
7.45643 0 .76112 1 93842
22222
8.05663 3
8.06214
www ww
.11853 4
.12013 4
.12172 4
.12331 4
.12489 4
.12647 4
.12804 4
.12961 4
.13117
4
.13272 4
.13427 4
.89509 1 8.03192 3 .13581 4
.89776 1 8.03387 3 .13735 4
1 8.03581 3 .13888 4
1 8.03775 3 .14041 4
1 8.03967 3 .14193 4
1 8.04159 3 .14344 4
1 8.04350 3 .14495 4 .22713 6
7.37577 0 .72300 1 .91346 1 8.04540 3 .14646 4 .22838 6 29727 9 .35671 11 .40898 14
7.38454 0 .72697 1 .91602 1 8.04729 3 .14796 4 .22962 6 .29833 9 .35764 11 .40980 14
30 7.39314 0 .73090
1 .91857
1 8.04918 3 .14945 4 .23086 6 .29939 9 .35856 11 .41062 14
40 7.40158 0 .73479 1 .92110 2 8.05105 3 .15094 4 .23210 6 .30044 9 .35948 11 .41144 14
50 7.40985 0 .73865 1 .92362 2 8.05292 3 .15243 4 .23333 6 .30150 9 .36040 11 .41225 15
2 8.05478 3 .15391 4 .23456 6 .30255 9 .36131 11
.15538 4 .23578 6 30359 9 .36223
8.05848 3 .15685 4 .23700 6 .30464 9 .36314
8.06031 3 .15832 5 .23822 7 .30568 9 .36405
3 .15978 5 .23944 7 .30672 9 .36496
8.06396 3 .16123 5 .24065 7 .30776 9 .36587
19744 5
.19877 5
.20010 5
.20143 5
.20275 6
.20407 6 .27661 8
.20538 B 27773 8
.20669 6 .27883 8
.20800 6 .27994 8
.20930 6 .28104 8
.21060 6 .28215 8
.27101
.27214
.27326
.27438
.27550 8
∞ ∞ ∞ ∞ ∞
8 .33390 10
8
8
A AAA==
8.33096 10 .38624 13
8 .33195 10 .38710 13

8.33292 10
•
.38796 13
.38882 13
.33488 10 .38968 13
.33585 10 .39054 13
.33682 10 .39139 13
.33779 10 .39225 13
.33875 10 .39310 13
.33972 10 .39395 13
.34068 10 .39480 13
.34164 10 .39565 13
.34260 11 .39649 13
.34355 11 .39734 14
.21189 6 .28324 8
.21319 6
.21447 6
.21576 6
.21703 6
.21831 6
.34450 11 .39818 14
.28434 8 .34546 11 .39902 14
.28543 8 .34640 11
.28652 8 .34735 11
.39986 14
.28761 8 .34830 11
.40070 14
.40156 14
.21958 6
∞ ∞
8
•
.28869 8 .34924 11 .40237 14
.28977
8.35018 11 .40320 14
.22085 6 29085 8 35112 11 .40403 14
.22211 6 .29193
.35206 11 .40486 14
.22337 6 .29300 8 .35299 11 .40569 14
.22463 6 .29407 8.35392 11 .40651 14
.22588 6 .29514 8 .35485 11 .40734 14
.29621. 8. .35578 11 .40816 14
•
.41307
22222
12.41388
.41469
.41550
.41631 15
.41711 15
GGGGG G
15
15
15
15
+10' 7.46373
.24186 7 .30879 9 .36678 12 .41792 15
0 .76475
5
1
LO
.94084
2 8.06578 3 16268

TABLE III.
[Page 29
1° 30'
Add
for Tan.
1° 40'
Add
for Tan.
1° 50'
Add
for Tan.
2° 0'
Log. Sines.
Add
for Tan.
2° 10'
Add
for Tan.
2° 20'
Add
for Tan.
2° 30'
Add
for Tan.
2° 40'
Add
for Tan.
2° 50'
+0' 8.41792 15 8.46366 18 8.50504 22 8.54282
10"
.41872 15
20
41952 15
•
30
.42032 15
40
.42112 15
50
.42192 15
.46439 18
.46511 19
.46583 19
.46655 19
46727 19
.50570
+1'
.42272 15
.46799 19
50636
.50701
.50767 | 23
.50832 23
.50897 23
222≈≈
.54342 27
.54402 27
.54462 27
.51522 | 27
.54582 27
26 8.57757 31
.57812 31
.57868 31
.57923 31
.57979 31
.58034 31
.54642
10"
.42351 15
.46870 19
20
.42430 15
.46942 19
30
.42510 15
.47013 19
40
.42589 15
.47084 19
50
.42667 15
.47155 19
.50963 23
.51028 23
.51092 23
.51157 23
.51222 23
+2'
.42746 16
47226 19
10"
.42825 16
20
.42903 16
.47297 19
.47368 19
30
.42982 16
.47439 19
40
.43060 16
.47509 19
50
.43138 16
.47580 19
+3'
.43216 16
.47650 19
10"
.43293 16
20
.43371 16
30
.43448
40
.43526
50
.43603
16
99999
.47720
16
16
.47930
.48000 20
+4'
.43680 16
10"
43757 16
20
.43834 16
.48069❘ 20
.48139
.48208
30
.43910 16
.48278
40
.43987 | 16
50
.44063 17
•
+5'
20
30
40
50
+6'
20
30
.44139 17
10" .44216 17
.44292 17
17
.44367
.44443 17
.44519 17
.44594 17
10" .44669 17
.44745 17
.44820 17
.48485
.48554
20
.48622❘ 20
.48760 21
22222 2 22222 2 22222
.51737 24 .55413 28
.47790❘ 20 .51801 24 .55471 28
.47860
.51864 24 .55530 28
**** * ***** * ****
23
23 .55354
.51287
.54999 27
.51351 23 .55059 27
.51416 23 .55118 28 .58529 32
.51480 23 .55177 28
.51544 23 .55236 28
.51609 23 .55295
28
.51673
51992 24 .55647
52055 24 .55705
20 .52119 24
20 .52182 24
20 .52245 24
.55764 28
.55822 28
.55880
.48347 20 .52308 24 .55938 29
48416 20 .52371 24 .55996
.52434
.48691 20 .52623
.48828 21 .52748
.48896 21 .52810
.48965 21
.49033 21
.49101 21
.52997 25
40
.44895 17
.49169 21
50
.44969
17
.49236 21
+ry
.45014 17
49304 21
.53059 25
.53121 25
.53183
10"
.45119 17
20
.45193 17
30
.45267 17
.49372 21
.49439 21
.49506 21
.53245 25
.53306
25
.53368
25
40
.45341 18
50
.45415 18
+8'
.45489 18
.49708 21
.49574 21 .53429
.49641 21 .53491
.53552 26
25
26
* FFRRR 2 PORR A PARRO
24 .56054
.51928 24 .55589 28 .58964
.59018 33
.59072 33
.59126 33
.59180 33
.59234 33
.59288 33
.59341 33
.59395 33
28
28
28
29
29
.52497 24 .56112 29 .59448 34
.52560 24 .56170
25 .56227 29 .59555 34
~ NNNNN N NO♡♡♡ ♡ ♡♡♡♡♡♡♡ ♡ ♡♡♡22 2 222
27
58089 32
.61282 37 .64256 42
.54702 27
.54762 27
.54821 27
.54881 27
.54910 27
.58144 32 .61334
.58200 32 .61385
.58255 32 .61436
.58310 32 .61487
.58364 32 .61538
.58119
32
2222 2
.61589
.58-174 32
.58583 32
.58638 32
.58693 32
28
.58747 33
.58801
.58856
.58910
22222 ≈ 33338
.61640
.61691
.61742
.61792
.61843
.61894
.61944 38
.61995 38
38
38
wowowowowo co co co co co co co co co co co co co co
37
37
8.60973 36 8.63968 41 8.66769
.61025 36
.61016 41
.61077 36 .64064 42
.61128 36 .64112 42
.61180 36 .64160 42
.61231 36 .64208 42
53
47 8.69400
.66811 47 .69442 53
.66859 47 .69485 54
.66904 47 .69527 54
.66949 47.69570 54
.66994 48 .69612 54
.67039 48
.69654 54
.64304 42
.67084 48 .69697 54
37 .61352 42 .67129 48.69739 54
.61400 42.67174 48 .69781
51
37
42
.64448
.67219
37 64495 12 .67263
37 .64543
48 .69823
48.69865
42.67308 48 .69907 54
37
37
37 .61685 43
37
37
.64590 43 .07353 48 .69949 54
.6-1638 43 .67397 48 .69991 55
.67442 49 .70033 55
.64733 43 .67486 49 .70075 55
.64780 43 .67531 19 .70117 55
38
.64827 43
.62045
.62096
.62146 38 .65063 43
.6-1875 43
.64922 43
.64969 43
.65016 43
•
62196 38.65110 44
.67575 49
.67619 49
.67661 19
.67708 49
.67752 49
.67796 19
.67841 49
.70159 55
.70201 55
.70242 55
.70281
.70326
.70367 56
.70409 56
.62246 38 .65157 44
29 .59502 34
·
25
.52685 25 .56285 29 .59609 34
.56342 29 .59662 34
25 .56400 29
.52872 25 .56157 29
52935 25 .56515 29
•
56629 29
.56686 30
2 2222
.59715 34
.62696 39
.62745 39
62795 39
.67885 49
.62297 38 .65201 14 .67929 50
.62347 38 .65251 14 .67973 50
.62397 38 .65298 41.68017 50
.62447 39 .65344 11 .68060 50
.62497 | 39
39.65391 44 .68104 50
.62516 39 .65-138 44 .68148 50
62596 39 .65484 44 .68192
.62646 39 .65531 14 .68236
65577 45
.70451 56
.70492 56
.70534
56
.70575 56
.70616 56
•
.68279
.65624 45 .68323 50 .70S64 57
59768 34
.59821 34
.56572 29 .59874 34
.59927 34
.59980 34
.62844 39
.62894 39
62943 39
.62993 40
.63012 40
.65670 45
.65717 45 .68410 51
.65763 45
51
.68451
.65809 45 .68497 51
.65855 45 .68540
.65901 15 .68584
.68367
51
D DDDDD is
.70658 56
50
.70699 56
50 .70740
50 .70781
.70S23
57
57
57
70905 57
*
.70916 57
70987 57
.71028 57
51.71069
51 .71110 57
57
25 .56743 30
.60033 34
63091 40
.56800 30
.56857 30
.56914 30
.56970 30
.57027❘ 30
60086 35
.60139 35
.60191 35
.60244 35
.60296 35
.63140 40
40
.63189
.63238 40
.63288 40
.63336 40
•
10"
.45563 18
.49775
20
·
45637 18
.49842
30
.45710 18
.49908
40
.45784 18
.49975
50
.45857 18
.50042
+9'
.45930❘ 18
.50108
10" 46003 18
.50174 22
20
30
.46076
.46149
40
50
.46222
.46294
18 .50241
18 .50307
18 .50373
18 .50439
+10% .46366 18 .50504
22222 2 ≈≈≈≈≈ 2
.53797
•
.53858 26
•
22
.53919 | 26
22
.53979
.54040
26
22
.54101
22
22
.54161 26
.5-1222
26
02022 2 22222
.57084 30
.53614 26 .57140 30
.53675 26
53736 26
.60349 35 .63385 40
.688$6
.65947 45 .68627
.65994 45 68670 | 51 | .71192
.66040 46 .68714
.71232 58
.66085 46 .68757
66131 46 .68800 52
.66177 46 .68843 52
.66223 16
.57196 30
.57253 30
.60401 35
.60151 35
.60506 35
*
26 .57309 30
.57365 31
.60558 35
.60610 35
.57121 31
.60662 36
.63434 40
.63483 40
63532 41
.63580 41
.63629 41
.63678 41
.66269 16
.66314 46
.66360 46
.66406 16
.66451 46
.66197 46 .69144
68929
•
.68972 52
.69015 52
.69058 52
22 .54282 26
.57477 31
26 .57533 31
26 .57589 31
.57645 31
.57701 31
.57757 31
.60714 36
.60766
36
.60818 36
.60870 36
.60922 36
60973 36
63726 41
.63775 41
63823 41
•
•
•
63871 41
•
665-12 17
66588 17
66633 47
.66678 17
.69187 53
.69229
53
69272
·
53
.69315 53
.63920 41
.66724 47 .69357 53 .71840 59
.6396S
41
.66769 17 .69400
K FAKSS N NNNNN N ¤¤¤3 3
51
71151 58
58
51
51
.71273 58
.71314
58
.71355 58
52
52
.71395 58
.71436
.71476 58
58
.71517
59
.71557 59
.69101 52 .71598 59
52 .71638
59
.71679 59
.71719 59
.71759
59
.71800
59
53 .71880
60
8 8ÄÄÄÄ 8 88-88 8 10 10101010 8888886 9 ONNNN 5 CODE 0 comm* * ***** * ****8 8
54
54
55
55
Add
for Tan.


Page 30]
TABLE III.
Log. Sines.
Add
Add
Add
Add
Add
Add
3° 0
for
3° 10'
Tan.
for
Tan.
3° 20 for
Tan.
3° 30
for
Tan.
3° 40'*
for
Tan.
3° 50'
for
Tan.
08.71880
60
10
8.71920 60
20
8.71960 60
30
8.72000 60
88888
8.74226 66
8.76451 74
8. 74264
66
8.76487 74
8.74302
67
8.76523 74
8.78568 81
8.78602 81
8.78636 81
8.80585
8.80618 89
8.80651 89
89
8.82513
97
8. 82544
97
8.82576 98
8.74340
40
8.72040 60
8.74378
50
8.72080 60
8. 74416
+18. 72120
60
8. 74454
5555
67
8.76559 74
8.78671 81
8.80684 89
8.82607 98
67
8.76595
74
67
8.76631
74
67
8.76667 74
108. 72160
20 8.72200 60
60
8.74491
67
8.76703 74
8.74529 67
8.76739 75
8. 78705
8. 78739
8.78774 82
8.78808 82
8.78842 82
82
8.80716 90
8.82639 98
82
8.80749 90
8.80782 90
8.80815 90
8.80847 90
8.82670 98
8. 82701
98
8.82732 98
8.82764 98
30
40
8.72240 60
8.72280 61
50 8.72320 61
8.74567 67
8.76775 75
8.78876 82
8.80880 90
8.82795 99
+28.72359 61
10 8.72399 61
20
8.72439
30
8.72478
40
8.72518
50 8.72558
+38.72597
65 5 55555 %
8.74605 68
8.74642 68
8.74680 68
8. 74718
68
8. 76811
8.76847
8.76883 75
8. 76919 75
75
8.78910 82
8.80913 90
8.82826 99
75
8.78945 82
8.80945 90 8.82857 99
8.78979
83
8.80978 91
8.82888 99
8. 79013
83
8.81010 91
8.82920
99
61
8.74755
68
8.76954 75
8.79047
83
8. 81043
91
8. 82951
99
61
8.74793
68
8.76990 75
8.79081
83
8. 81075
91
8.82982
99
8.74831
68
8.77026 76
8. 79115
83
8.81108
91
8.83013 100
61
8. 74868
68
62
10
8.72637
62
20
8.72676 62
30
8.72716 62
40
8.72755 62
50 8.72794 62
+48.72834 62
10/ 8.72873 62
20 8.72912 62
30
8.72951 63
8.74906 68
8. 74943 69
8.74980 69
8.75018 69
8.75055 69
8.75092 69
8.75130 69
8.75167 69
8.75204 69
8.75241 70
8.77061 76
8.77097 76
8.77133 76
8. 77168
8. 77204
76
8. 79149
8.79183 83
8.79217 84
8.79251 84
83
8. 81140
91
8.83044100
8. 81173
91
8.83075 100
8.81205 92
28
8.83106 100
76
8. 79284
84
8.81237 92 8.83137 100
8.81270 92 8.83168 100

8.77239
76
8. 79318
84
8.81302 92 8.83199 100
8.77275 76
8.79352
84
8.81334 92
8.83230 101
8.77310 77
8.79386
84
8. 81367
92
8.83261 101
8.77346 77
8.79420
84
8.81399
92
8.83292 101
8. 77381
8.77416
77
8. 79453
85
77
8.79487
85
40
8.72991 63
8.75279 70
8.77452
77
8. 79521
85
50
8.73030
63
+ 5'
8. 73069
63
108.73108
63
20
8. 73147
63
30
8.73186
63
40
8.73225
63
50
8. 73264
63
+6
6'
8.73303
10
8.73342
20
8.73380
30
8. 73419
40
8.73458
50
8. 73497
+78.73535
10/
8.73574
20
30
8.73613
8. 73651
40
8.73690
50
8.73728
+88.73767
10/
8.73805
20
8.73844
30
8.73882
40
8.73920
50
8.73959
ARARA A ARGAP P 22222 2 ⠀⠀⠀⠀⠀ ❀ 3
8.75316 70
8.75353 70
8.75390 70
8.75427 70
8.75464 70
8. 77487
77
8.79555
8.75501 70
8.75538 71
64
8.75575 71
64
8.75612 71
64
8. 75648
71
64
8.75685 71
64
8.75722
71
64
8.75759
71
64
8.75795
71
64
8.75832
71
65
8.75869
65
65
8.75905
8.75942
65
8. 75979
65
8.76015
65
8.76052
65
8.76088
65
8.76125
65
8. 76161
66
8.76197
+ 98.73997
66
8.76234
108.74035
66
8.76270
20
8.74073
66
30
8.74112
66
8.76306
8.76343
40
8.74150
66
8. 76379
50
8.74188
66
8.76415
-10'
8.74226
66
8.76451
I ZZZZZ Z ZZZZZ N NNNN
72
8.77522 77
8.77558 77 8.79622
8.77593 78 8.79655 85
8.77628 78 8.79689 85
8.77663 78
8.77698 78
8.77733 78
8.77768 78
8.77803 78
8.77838 78
8.77873 79
8.77908 79
8.77943 79
8.77978 79
8. 78013 79
8.79588
10 10 10 10 10 10
8. 81431
93
8.83322 101
8. 81463
93
8.83353 | 101
8. 81496
93
85
8.81528 93
8.83384101
8.83415 101
85
8.81560 93
8.83446 | 102
85
8.81592 93
8.83476 102
8.81624 93
8.83507 | 102
8.81656 93
8.83538 | 102
72
72
72
8. 78048 79
8.78083
8.78118
72
8. 78152
72
8.78187 80
222 8 8
8.79722 86
8.79756 86
8.79789
8.79823 86
8.79856 86
8.79890 86
8.79923 86
8.79956 86
87
8.79990
8.80023 87
8.80056
8.80090
8.81688 94
8.83568 102
8888888
8.81720 94
8. 81752
86
94
8. 81784 94
8.81816
8.81848 94
8.83599 102
8.83630102
94
8.83660 103
8.83691 103
8.83721 103
8.81880 94
8.83752 103
8. 81912
95
8.83783 103
8. 81944
95
8.83813 103
8.81975
95
8.83844 103
87
8. 82007
95
8.83874 104
87
8.82039
95
8.83904 104
79
8.80123
87
8.82071
95
8.83935 104
79
8.80156
87
8. 82103
95
8.83965 104
80
8. 80189
87
8. 82134
96
8.83996 104
8.80222
88
8.82166
96
8.84026 104
72
8.78222 80
8.80255
88
8.82198
96
8.84056 104
72
8.78257 80
8.80289
88
8.82229
96
8.84087 105
73
8.78291
73
8.78326
80
80
8.78360 80
8.80322
8.80355
8.80388
88
8.82261
96
8. 84117 105
8.82292
88
96
8. 84147 105
88
8.82324
96
8.84177 105
73
8.78395 80
8.78430
8.80421
88
8.82356
97
8.84208 | 105
81
8.80454
88
8.82387
97
8.84238 105
73
8.78464
81
73
8.78499
81
8.80487
89
8.80519
89
8.82419
97
8.84268 105
73
8. 78533
81
8.80552
8.78568
81
8.80585
89
89
8.82450
8.82482
8.82513
97
8.84298
106
97
97
8. 84328 | 106
8.84358
106

TABLE III.
[Page 31
Log. Sines.
Add
Add
Add
4°
0
for
4° 10
Tan.
for
Tan.
4° 20' for 4° 30'
Tan.
Add
for
Tan.
Add
4° 40' for 4° 50/
Tan.
Add
for
Tan.
+ o'
8.84358
106 8.86128
115
10/
8.84389
106 8.86157
115
8.87829 124
8.87856 124
20
8. 84419
106
8.86186
115
8.87884 125
30
8. 84449
106
8. 86215
115
8.87912 125
40
8.84479
107
8.86244
50
8.84509
107
8. 86273
+ 1
8.84539 107
10/
8. 84569
20
8.84599
30
8.84629
40
8.84659
50
8.84688
+ 2/
10"
20
30
40
50
+ 3'
10
20
30
40
50
8.87940 125
8.87967 125
8.86301 116 8. 87995 125
107 8.86330 116
8.88023 125
107 8.86359 116
8.88050 126
107 8.86388 116 8.88078 126
107 8.86416 116 8.88106 126
108 8.86445 117 8.88133 126
8.84718 108 8.86474 117 8.88161 126
8. 84748 108 8.86502 117 8.88188 126
8.84778 108 8.86531 117 8.88216 127
8.84808 108 8.86560 117 8.88243 127
8.84838 108 8.86588 117 8.88271 127
8.84867 108 8.86617 118 8.88298 127
8.84897 109 8.86645 118 8.88326 127
8. 84927 109 8.86674 118 8.88353 127
8.84957 109 8.86703 118 8.88381 128
8.84986 109 8.86731 118 8.88408 128
8.85016 109 8.86760 118 8.88435 128
8.85045 109 8.86788 118
116
116
8. 89464 134
8. 89491 134
8.89518 134
8.89545 135
8.89571 135
8. 89598 135
8. 89625 | 135
8.91040 144 8.92561 155
8.89651
8.89678
8. 89704
135
135
136
8. 89731 136
8.89758 | 136
8.89784. 136
8.89811 136
8.91349 146
8.91374 146
8.91066 144 8.92586 155
8.91092 145 8.92611 155
8.91118 145 8.92636 155
8.91143 145 8.92660 155
8.91169 145 8.92685 156
8. 91195 145 8.92710 156
8.91221 145 8.92735 156
8.91246 146 8.92760 156
8.91272 146 8.92784 156
8.91298 146 8.92809 156
8.91323 146 8.92834 157
8.92859 157
8.92883 157
8.89837 136
8.91400 147 8.92908 157
8.89864 137
8.89890 137
8.89917 137
8. 89943 137
8.89970 137
8.89996 137
+ 4'
8.85075
109
8.86816 119
108.85105
110
8.86845 119
20 8. 85134
110
8.86873 119
30
8. 85164
110
8:86902 119
8.88572 129
40
8.85193
110
8. 86930
119
8.88600 129
50
+ 5′
10
20
∞ ∞ ∞ ∞
8.85223
110
8.86958
8.85252 110 8.86987
30
+ 6'
10/
20
30
8.88627 129
120
129
8.88654
8.85282 111 8.87015 120 8.88681 129
8.85311 111 8.87043 120 8.88709 129
8.85341 111 8.87072 120 8.88736 130
40 8.85370 111 8.87100 120 8.88763 130
50 8.85400 111 8.87128 120 8.88790 130
8. 85429 111 8.87156 121 8.88817 130
8. 85458 111 8.87185 121 8.88845 130
8.85488 112 8.87213 121 8.88872 130
8.85517 112 8.87241 121 8.88899 131
119
8.90023 138
8.90049 138
8.88463 128 8.90075 138
8. 88490 128 8.90102 138
8.88518 128 8.90128 138
8.88545 129 8.90154 138
8.90181 139
8.90207 139
8.90233 139
8.90260 139
8.90286 139
8.90312 139
8.90338 140
8.90364 140
8.90391
8. 90417
8.91426
8. 91451 147 8.92957 158
8.91477 147 8.92982 158
8.91502 147 8.93007 158
8.91528 147 8.93031 158
8.91553 148 8.93056 158
8.91579 148
8.91604 148
8.91630 148
8.91655 148
8.91680 149
8.91706 149
8.91731 149
8.91757 149
8.91782 149
8.91807 149
8.91833 150
8.91858 150
147 8.92933 157
8.93081 159

8.93105
159
8. 93130
159
8. 93154
159
8. 93179
159
8.93203 159
8.93228 160
8. 93253
8.93277
160
160
8.91883 150
8. 93301 160
8.93326 160
8.93350 160
8.93375 161
8.91909 150
8.93399 161
140
140
8. 90443
140
8. 90469
140
8. 91934
8. 91959
8.91984 151
8.92010 151
150
8.93424 161
150
8. 93448
161
8. 93472
161
8.93497 162
8.90495 141
8.92035 151
8.93521 162
40
50
8.85546 112 8.87269 121 8.88926 131
8.85576 112 8.87297 121
8.90521 141
8.92060 151
8.93546 162
8.88953 131
8.90548 141
8.92085 151
8.93570 162
+ "
10/
8. 85634
20
8.85605 112 8.87325 121
112
8.85663 113
8.87354 122
8.87382 122
30
8.85693
113
8. 87410
122
40
8.85722
113
8.87438
122
50
8. 85751
113
8.87466
122
+88. 85780
113
8. 87494
122
8.88980 131
8.89007 131
8.89034 131
8.89061 132
8.89088 132
8. 89115
132
8.89142 132
S. 90574
8.90600
8. 90626
8.90652 142
8.90678 142
8.90704 142
8.90730 142
141
8. 92110 152
8.93591 162
141
141
8.92135
152
8. 93619
162
8. 92161
152
8. 93643
163
8.92186
152
8.93667 163
8. 92211
8.92236
152
8.93691 163
152 8.93716 163
10' 8. 85809
113
8.87522 123
20
30
8.85838 113 8.87550 123
8.85867 114 8.87578 123
40
50
8.85896 114 8.87606 123
8.85926 114 8.87634 123
+ 9'
8.85955
10
8. 85984
114 8.87661 123
114 8.87689 124
20
8. 86013
114 8.87717 124
30
8.86042
114
8.87745
40
8. 86070
115
8. 87773
8. 89169 132
S. 89196 132
8.89223 133
8.89250 133
8.89277 133
8.89301 133
S. 89330 133
S. 89357 133
124 8. 89384 134
124 8. 89-411
134
50
8. 86099
115
8. 87801
124
8. 89438
134
8. 92261 153
S. 90756 142
8.92286 153
8.90782 142 8.92311 153
8.90808 143 8. 92336 153
8.90834 143 8.92361 153
8. 90859 143 8.92386 153
8.90885 143 8.92411 154
8.90911 143 8. 92436 15-1
8.90937 1-14 8.92461 154
S. 90963
1-4-4
8.92486 154
S. 90989 144 8.92511
8. 91015 144 8.92536 155
8.93740 163
S. 93764
161
S. 9378S
164
S. 93812
164
S. 93837
161
8.93861 161
8.93885 164
8. 93909
165
8. 93933
165
S. 93957
165
154
S. 93981
165
S. 94006
165
+10
S.9-4030 165
8. 86128
8. 91040 144 8.92561 155
115
134
8.87829
124 8. 89-46-1

Page 32]
TABLE III.
Log. Sines.
Time.
m. s.
Arc.
Oh 20m
5°
Oh 24m
6°
Oh 28m
Oh 32m
8°
Oh 36m
9°
Arc. Time.
Sine.
P. P.
Sine.
P. P.
0
0
8.94030 142
4
1
8.94174 14
8
2
12
3
16
4
20
5
9.02520 59 9.09101
24 6
8.94887 85
9.02639
71 9.09202
28
ร
8.95029 99
32
8
8.95170 114
9.02757
9.02874
83 19.09304
949.09405
36
8.95310 128
40
10
8.95450 138
44 11
48 12
52 13
8.95589 14
8.95728 28
8.95867 41
56 14
8.96005 55
9.03574
+1
15
8.96143 69
9.03690
4 16
8.96280 83
9.03805
8 17
8.96417 97
9.03920
12 18
16 19
20 20
24 21
28 22
32 23
36
24
8.96553 110
8.96689 124
8.96825 133
8.96960 13
8.97095 27
8.97229 40
8.97363 53
40
25
8.97496 67
9.04828
44 26
8.97629 80
9.04940
48 27
8.97762 93
52 28
56 29
+2
30
4
31
8
32
12 33
16 34
20 35
8.97894 106
8.98026 120
8.98157 129
8.98288 13
8.98419 26
8.98549 39
8.98679 52
8.98808 65
24 36
8.98937 77
9.06046
28 37
8.99066 90
9.06155
32 38
8.99194 103
9.06264
36 39
8.99322 116
9.06372
40 40
8.99450 125
9.06481
44 41
8.99577 13
9.06589
48 42
8.99704 25
9.06696
52
43
8.99830 38
9.06804
56
44
8.99956 50
9.06911
+3
45
9.00082 63
4
46
8
47
12 48
16
49
20
50
24 51
28
52
40
32
53
36 54
55
44 56
9.00207 75
9.00332 88
9.00456 100
9.00581 113
9.00704 122
9.00828 12
9.00951 24
9.01074 37
9.01196 49 9.07968
9.01318 61 9.08072
9.01440 73 9.08176
459.10990
57 9.11087
689.11184
9.05052 79 9.11281
9.05164 90 9.11377
9.05275 102 9.11474
9.05386 1109.11570
9.05497 11 9.11666
9.05607 22 9.11761
9.05717 33 9.11857
9.05827 44 9.11952
9.05937 55 9.12047
669.12142
77 9.12236
889.12331
999.12425
107 9.12519
119.12612
21 9.12706
329.12799
439.12892
9.07018 54 9.12985
9.07124 64 9.13078
9.07231 75 9.13171
9.07337 86 9.13263
9.07442 96 9.13355-
9.07548 104 9.13447
9.07653 109.13539
9.07758 21 9.13630
9.07863 31 9.13722
107
429.13813
52 9.13904
629.13994
Sine. P. P.
9.01923 118 9.08589 | 102
102
9.02043 129.08692 10 9.14445 9 9.19513 8
8.94317 28
9.02163 24 9.08795 20 9.14535 18 9.19592 16
8.94461 43 9.02283 359.08897 31 9.14624 27 9.19672 24
8.94603 57 9.02402 479.08999 41 9.14714 36 9.19751 32 56
8.94746 71
519.14803 45 9.19830 40 55 40
619.14891 53 9.19909 47 54 36
719.14980 62 9.19988 55
53 32
829.15069 71 9.20067 63 52 28
9.02992 1069.09506 929.15157 80 9.20145 71 51 24
9.03109 | 116 | 9.09606 999.15245 87 9.20223 78
9.03226 12 9.09707 10 9.15333 9
9.03342 23 9.09807 20 9.15421 17
9.03458 35 9.09907 30 9.15508 26
469.10006 409.15596 35
589.10106 50 9.15683 44
709.10205 59 9.15770 52
819.10304 69 9.15857 61
9.04034 93 9.10402 799.15944 70
9.04149 104 9.10501 89 9.16030 78
9.04262 1139.10599 979.16116
9.04376 11 9.10697
9.04490 23 9.10795
9.04603 349.10893
9.04715
Sine.
9.14356 89
P. P.
Sine.
P. P.
s. m.
9.19433
79
60
+4
59
56
58
52
57 48
44
50 20
9.20302 8
9.20380 16 48 12
9.20458 23 47 8
9.20535 31 46 4
9.20613 39 45
9.20691 47 44 56
9.20768 55 43 52
9.20845 62 42 48
9.20922 70
49 16
+3
41 44
85
9.20999 76
40
40
109.16203
9 9.21076 8
39
36
48
57 9.01561 85
9.08280
739.14085
52
58
56 59
9.01682 98
9.01803 110
9.08383
839.14175
9.08486
+4
60
9.01923
Cos.
84°
5h 36m
9.08589
Cos.
83°
94 9.14266
9.14356
Cos.
5h 32m 82°
5h 28m
5h 24m
Cos.
80°
199.16289 17
29 9.16374 26
399.16460 34 9.21,306 30 36
49 9.16545 43 9.21382 38 35
58 9.16631 51 9.21458 46 34
68 9.16716 60 9.21534 53
78 9.16801 68 9.21610 61
87 9.16886 77 9.21685 68 31
95 9.16970 84 9.21761 75 30
10 9.17055 8 9.21836 8
19 9.17139 17 9.21912 15
29 19.17223 25 9.21987 23
38 9.17307 34 9.22062 30 26 44
48 9.17391 42 9.22137 38 25 40
57 9.17474 50 9.22211 45 24 36
679.17558 59 9.22286 53
76 9.17641 67 9.22361 60
86 9.17724 76 9.22435 68
939.17807 82 9.22509 74
9 9.17890 8 9.22583 7
19 9.17973 16 9.22657 15
28 9.18055 25 9.22731 22
37 19.18137 33 9.22805 30 16 4
47 9.18220 41 9.22878 37 15 +1
56 9.18302 49 9.22952 44 14 56
65 9.18383 57 9.23025 52 13 52
749.18465 66 9.23098 59 12 48
849.18547 74 9.23171 67 11 44
91 9.18628 81 9.23244 72 10
9 9.18709 8 9.23317 7
189.18790 16 9.23390 14
279.18871 24 9.23462 22
369.18952 32 9.23535 29
46 9.19033 41 9.23607 36
559.19113 49 9.23679 43
649.19193 57 9.23752 50
739.19273 65 9.23823 58
829.19353 73
9.19433
Cos.
81°
9.21153 15
38
32
9.21229 23

37
28
24
20
16
33
12
32
8
4
+2
29 56
28 52
27 48
23 32
22 28
21 24
20 20
19 16
18
12
17
8
40
9
36
8
32
28
6 24
LOGO Q
5 20
4
16
3
12
2
8
9.23895 65
9.23967
1
4
0
0
5h 20m
Log. Cosines.

TABLE III.
[Page 33
Log. Sines.
Time. Arc.
Oh 40m
10°
Oh 44m
11°
Oh 48m
m. s.
Sine.
P. P.
0
0
9.23967
71
4
1
9.24039 7
8
2
9.24110 14
Sine.
9.28060
9.28125 7
9.28190 13
P. P.
65
0h 52m
Sine.
9.35209 54
9.35263 5
13°
P. P.
12
3
9.24181 21
9.28254 20
9.35318 11
9.35373 16
16
4
9.24253 28
20
5
9.24324 36
9.28319 26
9.28384 33
24 6
9.24395 43
28
9.24466 50
32
8
9.24536 57
36
9
9.24607 64
40 10
9.24677 70
9.28448 39
9.28512 46
9.28577 52
9.28641 59
9.28705 63
44
11
9.24748 7
48 12
9.24818 14
52 13
9.24888 21
9.28769 6
9.28833 13
9.28896 19
56
14
9.24958 28
+1
15
9.25028 35
4 16
9.25098 42
8
17
9.25168 49
12 18
9.25237 56
16 19
9.25307 63
9.28960 25
9.29024 32
9.29087 38
9.29150 44
9.29214 50
9.29277 57
20 20
9.25376
69
9.29340 62
12°
Sine. P. P.
9.31788 59
9.31847 6
9.31907 12
9.31966 18
9.32025 24
9.32084 30 9.35481 27
9.32143 35 9.35536 32
9.32202 41 9.35590 38 9.38721 36
9.32261 47 9.35644 43 9.38771 41 52
9.32319 53 9.35698 49 9.38821 46 51 24
9.32378 58 9.35752 54 9.38871 50 50 20
9.32437 6 9.35806 5 9.38921 5 49 16
9.32495 12 9.35860 11 9.38971 10 48 12
9.32553 17 9.35914 16 9.39021 15 47
9.32612 23 9.35968 22 9.39071 20
9.32670 29 9.36022 27 9.39121 25 45
9.32728 35 9.36075 32 9.39170 30 44
9.32786 41 9.36129 38 9.39220 35 43
9.32844 46 9.36182 43
9.32902 52 9.36236 49
9.32960 58 9.36289 53
0h 56m
14° Arc. Time.
Sine.
9.38368
P. P.
s. m.
51 60
+4
9.38418 5
59
56
9.38469 10
9.38519 15 57
58
52
48
9.35427 22 9.38570 20 56
44
9.38620 26 55
40
9.38670 31 54
36
53
32
28
8
46
4
+3
56
52
9.39270 40
9.39319
42
48
45
41
44
9.39369 49
40
40
24
21
9.25445 7
9.29403 6
28
22
9.25514 14
9.29466 12
32
23
9.25583
21
9.29529 19
36 24
9.25652 28
9.29591 25
40 25
9.25721 35
9.29654 31
44
26
9.25790 41
9.29716 37
9.33018 6
9.33075 12
9.33133 17
9.33190 23
9.33248 29
9.33305 35
9.36342 5 9.39418
9.36395 11
9.36449 16
9.36502 21
9.36555 27
9.36608 32
сл
5
39 36
9.39467 10
38 32

9.39517 15 37
28
9.39566 20
36
24
9.39615 25 35
20
9.39664 29
34
16
48 27
9.25858 48
9.29779 43
9.33362 41
9.36660 37
9.39713 34
33
12
52 28
56
29
9.25927 55
9.25995 62
9.29841 50
9.33420 46
9.36713 42
9.39762 39
32
8
9.29903 56 9.33477 52
9.36766 48
9.39811 44
31
4
+2
30
9.26063 68
9.29966 62
9.33534 57
9.36819 52
9.39860 49
30
+2
4
31
9.26131
7
9.30028 6
9.33591 6
9.36871 5
9.39909 5
29
56
8
32
9.26199 14
12 33
9.26267 20
9.30090 12
9.30151 19
9.33647 11
16 34
9.26335 27
9.30213 25
20
35
9.26403 34
9.30275 31
24 36
9.26470 41
9.30336 37
28 37
9.26538 48
9.30398 43
32
38
9.26605 54
36 39
9.26672 61
40 40
9.26739 67
44 41
9.26806 7
9.30459 50
9.30521 56
9.30582 61
9.30643 6
48 42
9.26873 13
52
43
9.26940 20
9.30704 12
9.30765 18
56
44
9.27007 27
9.30826 24
+3
45
9.27073 34
9.30887 31
4 46
9.27140 40
9.30947 37
8 47
9.27206 47
9.31008 43
12 48
9.27273 54
9.31068 49
16 49
20 50
24 51
28 52
32 53
36 54
40 55
9.27339 60
9.31129 55
9.33704 17
9.33761 23
9.33818 29
9.33874 34
9.33931 40
9.33987 46
9.34043 51
9.34100 56
9.34156 6
9.34212 11
9.34268 17
9.34324 22
9.34380 28
9.34436 34
9.34491 39
9.34547 45
9.34602 50
9.40442
9.36924 10
9.36976 16
9.37028 21
9.37081 26
9.37133 31
9.37185 36 9.40200 34 23 32
9.37237 42 9.40249 39 22 28
9.37289 47 9.40297 44 21 24
9.37341 52 9.40346 48
9.37393 5
9.37445 10
9.37497 16
9.37549 21
9.39958 10
9.40006 15
9.40055 20
9.40103 25
9.40152 29 24 36
28 52
27 48
26
25 40
44
20
20
9.40394 5
19
16
10
18
12
9.40490 14
17
8
9.40538 19
16
4
9.37600 26
9.37652 31
9.37703 36
9.37755 42
9.37806 47
9.40586 24
9.40634 29
15
+1
14 56
9.27405 66
9.31189 GO 9.34658 55
9.37858 51
9.27471 7
9.27537 13
9.27602 20
9.31250 6
9.31310 12
9.31370 18
9.27668 26
9.31430 24
9.27734 33
9.31490 30
44 56
9.27799 40
9.31549 36
48 57
9.27864 46
9.31609 42
52 58
9.27930 53
9.31669 48
56
59
9.27995 59
9.34713 6
9.34769 11
9.34824 17
9.34879 22
9.34934 28
9.34989 33
9.35044 39
9.35099 44
9.31728 54 9.35154 50
9.37909 5
9.37960 10
9.38011 15
9.38062 20
9.38113 26
9.38164 31
9.38215
9.40682 34
9.40730 38
9.40778 43
9.40825 47
9.40873 5
9.40921 9
13 52
12 4.8
11 44
10
40
36
8
32
9.40968 14
7
28
9.41016 19
6
24
9.41063 24
5
20
9.41111 28
4 16
36 9.41158 33
3 12
+4
60
9.28060
9.31788
Cos.
Cos.
79°
5h 16m
1980
5h 12m
9.35209
Cos.
mymyo
9 38266 41
9.38317
9.38368
46
9.41205 38
9.41252 42
9.41300
2 8
4
(
5h Sm
Cos.
76°
5h 4m
Cos.
75°
5h Om
Log. Cosines.
63355°-17-3
Page 34]
TABLE III.
Log. Sines.

Time. Arc.
1h Om
15°
1h 4m
16°
1h sm
m.
S.
Sine.
P. P.
P. P.
0
0
9.41300
47
4
1
9.41347
5
8
2
9.41394 9
12
3
9.41441
16
4.
9.41488
14
19
20
5
9.41535 24
24
9.41582 28
28
9.41628 33
32
8
9.41675 38
36
9.41722 42
40
10
9.41768 46
44
11
9.41815 5
48 12
9.41861 9
52 13
9.41908 14
Sine.
9.44034 44
9.44078 4
9.44122 9
9.44166 13
9.44210 18 9.46758 16 9.49153 16
9.44253 22 9.46800 21 9.49192 20
9.44297 26 9.46841 25 9.49231 23
9.44341 31 9.46882 29
9.44385 35 9.46923 33
9.44428 40 9.46964 37
9.44472 43 9.47005 41
9.44516 4.
9.44559 9
9.44602 13
Sine.
9.46594 41
9.46635 4
9.46676 8
9.46717 12
170
P. P.
1h 12m
18°
1h 16m
19° Arc. Time.
Sine.
9.48998 39
9.49037 4
9.49076 8
P. P.
9.49115 12
Sine.
9.51264
9.51301 4
9.51338 7 58
9.51374 11
P. P.
S.
in.
36
60
+4
59
56
52
57 48
9.51411 14
56 44
9.51447 18
55
40
9.51484 22
54
36
56 14
+1
15
4 16
9.41954 18
9.42001 23
9.42047 28
9.44646 17
9.44689 22
9.44733 26
8
17
9.42093 32
9.44776 30
9.47045 4
9.47086 8
9.47127 12
9.47168 16
9.47209 21 9.49577 20
9.47249 25 9.49615 23
9.47290 29 9.49654 27
9.49269 27
9.49308 31. 9.51557 29 52 28
9.49347 35 9.51593 32 51 24
9.49385 39 9.51629 36 50
9.49424 4. 9.51666 4 49 16
9.49462 8 9.51702 7
9.49500 12 9.51738 11 47
9.49539 16
9.51.520 25 53 32
20
48
12
S
9.51774 14
46
4
9.51811 18
45
+3
9.51847 22
44
56
9.51883
25
43
52
12
18
9.42140 37
9.44819 34
9.47330 33
9.49692 31
9.51919 29 42
48
16
19
9.42186 41
9.44862 39
20 20
9.42232 46
24 21
28 22
9.42278
5
9.42324 9
9.44905 43
9.44948 4
9.44992 9
9.47371 37
9.47411 40
32 23
9.42370 14
9.45035 13
نان
24
9.42416 18
9.45077 17
40
25
9.42461 23
9.45120 22
44
26
9.42507 28
9.45163 26
9.49730 35
9.49768 38
9.47452 4. 9.49806 4.
9.47492 8
9.47533 12
9.47573 16
9.47613 20
9.47654 24
9.51955 32 41
44
9.51991 36
40
40
9.49844 8
9.49882 11
9.49920 15
9.49958 19
9.49996 23
9.52027 4 39
9.52063
36
7 38 382
9.52099 11 37 28
9.52135 14 36 24
9.52171 18 35 20
9.52207 22
34 16
48
27
9.42553 32
9.45206 30
9.47694 28
9.50034 27
9.52242 25
33
12
52 28
9.42599 37
9.45249 34
56
29
9.42644 41
9.45292 39
--2
30
9.42690 45
4
31
9.42735 5
8
32
9.42781 9
12 33
9.42826 14
16 34
9.42872 18
20 35
9.42917 23
24 36
9.42962 27
28 37
9.43008 32
32 38
9.43053 36
زار
39
9.43098 41
+3
4 46
8
12
47
48
16 49
20 59
24 51
28 52
9.43502 36
9.43546 41
9.43591 44
40 40 9.43143 45
44 41 9.43188
48 42 9.43233
9.45843 8
52 43 9.43278 14 9.45885 13
56 44 9.43323 18 9.45927 17
45 9.43367 23
9.45969 21
9.43412 27 9.46011 25
9.43457 32 9.46053 29
9.46095 34
9.46136 38
5
9.45334 42
9.45377 4.
9.45419 8
9.45462 13
9.45504 17
9.45547 21
9.45589 25
9.45632 29
9.45674 34
9.45716 38
9.45758 42
9.45801 4
9.50072 30
9.50110 34
9.50148 38
9
9.48411 20
9.48450 24
had had
9.48490 28
9.48529 32
9.46178 41
9.43635
9.43680
4
9.46220 4
9
9.46262 8
32
53
9.43724 13
9.46303 12
9.48568 36
9.48607 39
9.48647 4
9.48686 8
9.48725 12
9.47734 32
9.47774 36
9.47814 40
9.47854 4.
9.52385 4. 29 56
9.47894 8
9.52421 7 28 52
9.47934 12
27 48
9.47974 16 9.50298 15 9.52492 14 26 4.4
9.48014 20 9.50336 19 9.52527 18 25 40
9.48054 24 9.50374 23 9.52563 21 24 36
9.48094 28 9.50411 27 9.52598 25 23 32
9.48133 32 9.50449 30 9.52634 28 22 28
9.48173 36 9.50486 34 9.52669 32 21 24.
9.48213 40 9.50523 37 9.52705 35
9.48252 4 9.50561 4 9.52740 4
9.48292 8 9.50598 7 9.52775
9.48332 12 9.50635
9.52811 11
9.48371 16 9.50673 1.5 9.52846 14
9.50710 JO 9.52881 18
9.50747
9.52916 21
9.50784 26 9.52951 25
9.50821 30 9.52986 28
9.50858 33 9.53021 32
9.52278 29
32
S
9.52314 32
31
4
9.52350 35 30
+2
9.50185 4
9.50223 8
9.50261 11 9.52456 11.
20 20
19 16
די
18
12
17 8
16
4.
15
--1
14 56
13
52
12
48
11
44
زاده
54
9.43769 18
9.46345 £6
40 55
44 56 9.43857 26
48 57 9.43901 31
52 58 9.43946 35
56 59 9.43990 40
-+-4 60 9.44034
9.43813 22
Cos.
9.46386 21
9.46428 25
9.46469 29 9.148881 27
9.46511 33 9.48920 31.
9.46552 37 9.48959 35
9.46594
Cos.
9.48764 16
9.48803 20
9.48842 23
74°
4h 56m 73°
4h 52m
9.48998
Cos.
72°
9.50896 37
9.50933
9.50970 7
9.51007 11
9.51043 15
9.51080 19
9.51117 22
9.51154 26
9.51191 30 9.53336 28
9.51227 33 9.53370 32
9.51264
Cos.
4h 48m 71°
9.53056 35 10
40
4
9.53092 4
9.53126
9.53161 11
9
36
7
8
32
28
9.53196 14
6
24
9.53231 18
5
20
9.53266 21
4.
16
9.53301 25
3
12
2
8
1
4
9.53405
Cos.
0
(
4h 44m 70°
4h 40m
1

Log. Cosines.

TABLE III.
[Page 35
Log. Sines.
Time. Arc.
1h 20m
20°
1h 24m
21°
1h 28m
m.
S.
0
0
4.
S
12
16
4
20
5
62 68 - LƏ
3
24
6
28
roy
32
8
Sine. P. P.
9.53405 35
9.53440 4
9.53475 7
9.53509 11
9.53544 14
9.53578 18
9.53613
9.53647 25
9.53682
21
36
9.53716 32
40
10
9.53751
34
4.4.
11
9.53785 3
48
12
9.53819 7
52 13
9.53854 10
56 14
9.53888 14
Sino. P. P.
9.55433 33
9.55466 3
9.55499 7
9.55532 10
9.55564
9.55597 17
9.55630 20
9.55663 23
28 9.55695 26
9.55728 30
9.55761 32
9.55793 3
9.55826 6
9.55858 10
9.5589.1 13
22°
P. P.
Sine.
9.57358 31
9.57389 3
9.57420 6
9.57451 9
13 9.57482 12
9.57514 16
9.57545 19
1h 32m
23°
1h 3Cm
24°
Arc. Time.
Sino. P. P.
9.59188 30
9.59218 3
9.59247 6
9.59277 9
Sine.
9.60931
9.60960 3
P. P.
S. m.
28
60
+4
59
56
9.59307 12
9.60988 6
9.61016
9.61045 11
52
58
со
S
57
48
56
4.4.
9.57576 22
9.57607 25
9.57638 28
9.57669 31
9.57700 3
9.57731 6
9.57762 9
--1
15
9.53922 17
4
16
9.53957 20
8
17
9.53991 24
12 18
9.54025 27
16
19
20 20
9.54059
9.54093 34
31.
24
21
9.54127 3
28
22
9.54161 7
32
23
9.54195 10
36 24
9.54229 14
40
25
9.54263 17
44
26
9.54297 20
48
27
9.54331 24.
52
28
9.54365 27
56
29
9.54399 31
9.55923 16
9.55956 19
9.55988 22
9.56021 26
9.56053 29
9.56085 32
9.56118 3
9.56150 6
9.56182 10
9.56215 13
9.56247 16
9.56279 19
9.56311 22
9.56343 26
9.56375 29
+-2
30
9.54433 34
9.56408 32
4
31
9.54466 3
32
9.54500 7
12
33
9.54534 10
9.56140 3
9.56472 6
9.56504 10
16 34
9.54567 14
9.56536 13
20 35
24
36
32
28 37
38
9.54601
9.54635
9.54668 24
9.54702 27
17
20
لولة
86 39
9.54735. 31
40
40
9.54769 33
9.56568 16
9.56599 19
9.56631
9.56663
9.56695 29
9.56727 32 9.58588 30
9.57793 12
9.57824 16
9.57855 19
9.57885 22
9.57916 25
9.57947 28 9.59749 26
9.57978 30
9.58008
3
9.58039 6
9.58070 9
9.58101 12
9.58131 15
9.58162 18
9.58192 21
9.58223 24
9.58253 27
9.58284 30
9.58314 3
9.58345 6
9.58375 9
9.58406 12
9.58436 15
9.58467 18
9.58497 2.1
26 9.58527 24
9.58557 27
9.59720 23
9.59336 15
9.59366 18 9.61101 17
9.59396 21. 9.61129 20 53
9.59425 24 9.61158 22 52 28
9.59455 27 9.61186 25 51 24
9.59484 29 9.61214 28 50 20
9.59514 3 9.61242 3 49 16
9.59543 6 9.61270 6 48 12
9.59573 9 9.61298 8 47
9.59602 12 9.61326 11 46
9.59632 15 9.61354 14 45
+3
9.59661 17 9.61382 17 44 56
9.59690 20 9.61411 20 43 52
9.61438 22
9.61073 14 55
40
54
36
32
S
4
42 48
9.61466 25
41
afaf.
9.59778 29
9.61494 28
40
40
9.59808 3 9.61522 3
39
36
9.59837 6 9.61550 6
38
$2
9.59866 9
9.61578 8
37
28

9.59895 12
9.6.1606 11
36
24
9.59924 15
9.59954 17
9.59983 20
9.60012 23
9.60041 26 9.61745 25 31
9.61634 14
35
20
9.61662 17 34 16
9.61689 20 33 12
9.61717 22 32 S
4
9.60070 29
9.60099 3
9.60128 6
9.60157 9
9.60186 12
9.60215 15
9.60244 1.7
9.60273 20
9.60302 23
9.60331 26
9.61773 28 30
+2
9.61800 3
62.
56
9.60359 29
44
41
9.54802 3
9.56759 3 9.58618 3
48
42
9.54836 7
5:2 43
9.54869 10
56 44
+-3
45
9.54903 13
9.54936 17
46
9.54969 20
9.56790 6 9.58648
9.56822 10 9.58678 9
9.56854 13 9.58709 12
9.56886 16
9.56917 19
6
47
9.55003 23
9.56949
12 48
9.55036 26
9.56980 26
16 49
9.55069 30
20 50 9.55102 33
24. 51 9.55136 3
28 52 9.55169 7
32 53 9.55202 10
36 54 9.55235 13
9.58739 15
9.58769 18
9.58799 21
9.58829 2-4
9.57012 29 9.58859 27
9.57044 31 9.58889 30
9.57075 3 9.58919 3
9.57107 6
9.61828 6 28 52
9.61856 8 27 48
9.61883 11 26
9.61911 14
9.61939 17
9.61966 20
9.61994 22
9.62021 25
9.62049 27 20 20
9.60388 3 9.62076 3 19 16
9.60417 6 9.62104 5 18 12
9.60446 9 9.62131 S 17 S
9.60474 12 9.62159 Il 16 4.
9.60503 15 9.62186 14 15
9.60532 17 9.62214 16
9.60561 20 9.62241 19
9.60589 23 9.62268 22
9.60618 26 9.62296 24
9.60646 29
9.62323 27
9.60675 3 9.62350 3
9.58949 6 9.60704 6 9.62377
44
25 40
24 36
23 32
22 28
21 24.
+1
14 56
13 52
12 48
11
44
10
40
40 55
9.55268 17
9.57138 9
9.57169 12
9.57201 16
44. 56
9.55301 20
9.57232 19
3853
48 57
9.55334 23
9.57264 22
9.58979 9
9.59009 12
9.59039 15
9.59069 18
9.59098 21
52
58 9.55367 26
56
59 9.55400 30
+4
60 9.55433
Cos.
69°
9.57295 25 9.59128 24
9.57326 28 9.59158 27
9.57358
9.59188
Cos.
Cos.
4h 36m | 68° 4h 52m 67° 4h 28m 66°
9.60875 23
9.60732 9 9.62405
9.60761 12 9.62432 11
9.60789 15 9.62459 14
9.60818 17 9.62486 16
9.60846 20 9.62513 19
9.62541 22
GO LO CO
36
S
32
28
6
24
5 20
4 16
3 12
2
S
9.60903 26
9.60931
Cos.
9.62568 24
1
4.
9.62595
Cos.
()
4h 24m 65°
4h 20m
Log. Cosines.

Page 36]
TABLE III.
Log Sines.
Time. Arc.
1h 40m
25°
1 h 44 m
m.s.
Sine.
T. P.
Sine.
26°
P. P.
1h 48m
27° 1h 52m
28°
1h 56m
29°
Arc. Time.
Sine. P. P.
Sine.
P. P.
0
0
9.62595
27
9.64184
26
9.65705 25
4
1
9.62622 3
9.64210
12
16
20
2260 LO
9.62649
5
9.64236
3
9.62676
8
9.64262
00 LO ∞0
3
9.65729 3
5
9.65754
8
9.65779
4
9.62703
11
9.64288
10
5
9.62730 14
24 6
9.62757 16
28
7
9.62784 19
32
8
9.62811 22
36
9.62838 24
40
10
9.62865
27
4.4 11
9.62892
48 12
9.62918
52
13
9.62945
300 LO∞
9.67232
9.65804
9.67256 10
9.64313 13 9.65828 13 9.67280 12
9.64339 16 9.65853 15 9.67303 14
9.64365 18 9.65878 18 9.67327 17
9.64391 21 9.65902 20 9.67350 19
9.64417 23 9.65927 23 9.67374 22
9 64442 26 9.65952 25 9.67398 23
9.64468 3 9.65976 3 9.67421
18 CO LO ∞
9.67161
9.67185
5 9.67208
8
257
Sine.
249.68557
9.68580
9.68603
9.68625
23
P. P.
m.s.
60
+4
257
59 56
58
52
57 48
10
9.68648 9 56 4.4
9.68671 12 55 40
9.68694 14 54 36
9.68716 16
9.68739 18
9.68762 21 51 24
53 32
52 28
9.68784 23 50
20
5
9.64494
5 9.66001 5
8
9.64519
89.66025 8
20 00
9.67445
9.67468
257
9.68807
9.68829
9.68852
56
14
9.62972 11
+1
15
9.62999 14
4
16
8 17
12 18
16 19
9.63026 16
9.63052 19
9.63079 22
9.63106 24
20 20
24 21
9.63133 27
9.63159
9.64545 10 9.66050 10 9.67492 9 9.68875 9 46
9.64571 13 9.66075 13 9.67515 12
9.64596 16 9.66099 15 9.67539 14
9.64622 18 9.66124 18 9.67562 16
9.64647 21 9.66148 20 9.67586 18
9.64673 23 9.66173 23 9.67609 21
9.64698 25 9.66197 24 9.67633 23
2576
49 16
48
12
47
8
4
28 22 9.63186
82 23 9.63213
30 LO 00
9.64724 3
5
8
9.64749 5
9.64775 8
36 24
40 25
9.63239 11
9.63266 14
44 26
9.63292 16
9.64800 10
9.64826 13
9.64851 1.5
48 27
9.63319 19
9.64877 18
9.66221 2 9.67656
9.66246 5 9.67680
9.66270 7 9.67703
9.66295 10
9.66319 12
9.66343 14
9.66368 17
257
9.69055
9.69077
247
9.68897 12 45
9.68920 14 44
9.68942 16 43 52
9.68965 18 42 48
9.68987 21 41 44
9.69010 22 40 40
9.69032
+3
56
39
36
38
$2
37
28

9.67726 9 9.69100 9 36 24
9.67750 12
9.67773 14
9.69122 11 35
20
9.69144 13
34 16
52 28
9.63345 22
9.64902 20
9.66392 19
9.67796 16
9.67820 18
9.69167 15
33
12
9.69189 18
32
8
56 29
9.63372 24
9.64927 23
9.66416 22
9.67843 21
9.69212 20
31
4
+2
30
9.63398 26
4
31 9.63425
8 32 9.63451
12 33
300 50 00
9.64953 25 9.66441 24
9.64978 3 9.66465
9.67866 23
9.69234 22
30
+2
9.65003 5 9.66489
8
16 34
20 35
24 36
9.63478
9.65029 8 9.66513
9.63504 10 9.65054 1.0 9.66537
9.63531 13 9.65079 13 9.66562 12
9.63557 16 9.65104 15 9.66586 14
267
9.67890
5
9.67913
9.67936
257
9.69256 2
29
56
9.69279 4
9.69301
+7
28
52
27
48
28 37
9.63583 18
9.65130 18
32 38
9.63610 21
9.65155 20
36 39
40 40
44 41
48 42
52
43
56 44
9.63636 23
9.63662 26
9.65180 23
9.63689 3
9.63715 5
9.63741 8
9.63767 10
+-3
45
9.63794 13
4
46
9.63820 16
9.65205 25
9.65230 3
9.65255 5
9.65281 8
9.65306 10
9.65331 13
9.65356 15
Ꮪ
47
9.63846 18
12
48
9.63872 21.
16
49
9.63898 23
20 50 9.63924 26 9.65456 25 9.66922 24
9.65381 18
9.65406 20
9.65431 23
28
52 9.63976
32 53 9.64002
SOLO 00
224 51 9.63950 3 9.65481 3 9.66946
5
9.65506 5 9.66970
8
نان
54
55
48
60
Cos.
Cos.
64°
4h 16m
63° 4h 12m 62° 4h Sm
10 9.67959 9 9.69323 9 26 44
9.67982 12 9.69345 11 25 40
9.68006 14 9.69368 13 24 36
9.68029 16 9.69390 15 23 $2
9.66634 19 9.68052 18 9.69412 18
22 28
9.66658 22 9.68075 21 9.69434 20
9.66682 24 9.68098 23 9.69456 22
9.66706 2 9.68121
9.66731 5 9.68144
9.66755 7 9.68167
9.66779 10
9.66803 12
9.66827 14
9.66851 17
9.66875 19
9.66899 22 9.68305 21 9.69655 20 11
9.68328 23
9.68351
9.69699 2
9.68374 5 9.69721
9.65531 8 9.66994 7 9.68397 7 9.69743
9.64028 10 9.65556 10 9.67018 10 9.68420 9 9.69765 9
40
9.64054 13 9.65580 13 9.67042 12 9.68443 12
44 56 9.64080 16 9.65605 15 9.67066 14 9.68466 14
57 9.64106 18 9.65630 18 9.67090 17 9.68489 16
52 58 9.64132 21 9.65655 20 9.67113 19 9.68512 18
56 59 9.64158 23 9.65680 23 9.67137 22 9.68534 21
-|- ·4
9.64184
9.65705
9.67161
9.68557
Cos.
Cos.
61°
9.66610 17
21 24
257
9.69479
9.69501
9.69523
247
20 20
19 16
28 12
17 S
9.68190 9 9.69545 9 16 4
9.68213 12 9.69567
9.68237 14 9.69589
9.68260 16 9.69611 15
9.68283 IS 9.69633 18
11
15 +1
13
14 56
13
52
12 48
44
9.69677 22
10
40
2 LO
9
36
5
8
دندان
28
6
24
9.69787 11
5
20
9.69809 13
16
9.69831
9.69853
9.69875 20
15
3
12
18
2
1
4
9.69897
0
Cos.
4h 4m
60°
4h Om
Log. Cosines.

TABLE III.
[Page 37
Log Sines.
Time. Arc.
2h Om
30°
2h 4m
31°
2h sm
32°
rn. s.
0
0
Sine.
9.69897
P. P.
22
Sine.
$9.71184
P. P.
21
Sine.
9.72421
P. P.
2h 12m
Sine.
9.73611 19
33°
2h 16m
34° Arc. Time.
P. P.
Sine.
P. P.
s. m.
4
1
9.69919 2
8 2
12 3
16
20
24
28
82
QS EHLA SO Z Co
9.69941 4
9.71205 2
9.71226
4
9.69963 7
9.71247
6
9.73669 6
4&
4
9.69984 9
9.71268
8
5
6
9.70006 11
9.70028 13
9.71289 11
9.71310 13
9.70050 15
9.71331 15
8
9.70072 18
9.71352 17
36
9
9.70093 20
9.71373 19
40
10
9.70115 22
44
11
48 12
9.70137 2
9.70159
4
52
13
9.70180 7
56 14
9.70202 9
+1
15
9.70224 11
9.71393 21
9.71414
9.71435
9.71456 6
9.71477 8
9.71498 11
24
4 16
9.70245 13
9.71519 13
8 17
9.70267 15
9.71539 15
12 18
16 19
20 20
9.70288 18
9.71560 17
19.70310
9.70332
20
9.71581 19
21
9.71602 21
20
9.72441 2 9.73630 2 9.74775
9.72461 4 9.73650
9.72482 6
9.72502 8 9.73689 8 9.74831 8 56 44
9.72522 10 9.73708 10 9.74850 10 55 40
9.72542 12 9.73727 11 9.74868 11 54 36
9.72562 14 9.73747 13 9.74887 13 53 32
9.72582 16 9.73766 15 9.74906 15 52 28
9.72602 18 9.73785 17 9.74924 17
9.72622 20 9.73805 19
9.72643 2 9.73824 2 9.74961
9.72663 4 9.73843 4 9.74980
9.72683 6 9.73863 6 9.74999
9.72703 8
9.72723 10
9.72743 12
9.72763 14
9.72783 16
9.72803 18
9.72823 20
9.74756 19 60
+4
9.74794
9.74812
246:00
59 56
58 52
57 48
51
24
9.74943 19
50
20
246
49 16
48
12
47
24 21
9.70353 2
9.71622 2
9.72843 2
9.73882 8 9.75017 8 46
9.73901 10 9.75036 10 45
9.73921 11 9.75054 11
9.73940 13
9.73959 15
9.73978 17
9.73997 19
9.74017 2
4
+3
44
56
28 22
9.70375 4
82
23
9.70396
6
36
24
9.70418 8
40 25
9.70439 11
9.71643
9.71664
9.71685 8
9.71705 11
4
6
44
26
9.70461 13
48
27
52 28
56
29
+2
30
9.70482 15
9.70504 17
9.70525 19
9.70547 21 9.7.1809 21
4
31
9.70568
8 32
9.70590
12 33
9.70611
246
9.71726 13
9.71747 15 9.72962 14
9.71767 17 9.72982 16
9.71788 19 9.73002 18
9.73022 20
9.71829 2 9.73041
9.71850 4 9.73061
9.72863
9.72883
9.72902 8
9.72922 10
9.72942 12
4
9.75165
6
9.75184
9.74036 4
9.74055 6
9.74074 8
9.74093 10
9.74113 11
9.74132 13 9.75258 13 33 12
9.74151 15 9.75276 14 32 S
9.74170 17 9.75294 16
9.74189 19 9.75313 18
245
9.75073 13
9.75091 15
9.75110 17 41 44
9.75128
9.75147
43
52
42 48
18 40 40
39
36

38
82
37
28
9.75202
9.75221
9.75239 11
7
36
24
35 20
34 16
31 4
30
+2
24
9.74208 2
9.75331
9.74227 4
9.75350
16 34
9.70633
8
20
35
9.70654 11
24
36
9.70675 13
28 37
9.70697 15
32 38 9.70718 17
36 39 9.70739 19
40 40 9.70761 21
44 41 9.70782
48 42 9.70803
52 43 9.70824
246
56 44 9.70846 8 9.72096 8
+3
45 9.70867 11 9.72116 10
48
46
9.70888 13 9.72137 12
9.71870 6 9.73081 6
9.71891 8 9.73101 8
9.71911 11 9.73121 10
9.71932 13 9.73140 12
9.71952 15 9.73160 14
9.71973 17 9.73180 16
9.71994 19 9.73200 18
9.72014 20 9.73219 20
9.72034 2 9.73239 2
9.72055 4 9.73259 4
9.72075 6 9.73278 6
9.73298 8
9.73318 10
9.73337 12
47 9.70909 15
12
48
16
49
44
9.70931 17
9.70952 19
20 50 9.70973 21
24 51 9.70994 2
28 52 9.71015 4
32 53 9.71036 6
86 54 9.71058 8
40 55. 9.71079 11
56 9.71100 13
48
57
9.71121 15
52
58
56 59
9.71142 17
9.71163 19
+4
60 9.71184
Cos.
59°
3h 56m
3h 52m
Cos.
57°
Cos.
Sh 48m
56°
9.74246 6
9.74265 8
9.74284 10 9.75405 9
9.74303 11 9.75423 11
9.74322 13 9.75441 13
9.74341 15 9.75459 14
9.74360 17 9.75478 16
9.74379 19 9.75496 18
9.74398 2 9.75514
9.74417 4 9.75533 4
9.74436 6 9.75551
9.74455 8 9.75569
9.74474 10 9.75587 9 15
9.74493 11 9.75605 11 14 56
9.72157 14
9.73357 14 9.74512 13 9.75624 13 13 52
9.72177 16 9.73377 16 9.74531 15 9.75642 14 12 48
9.72198 18 9.73396 18 9.74549 17 9.75660 16 11 44
9.72218 20 9.73416 20 9.74568 19 9.75678 18 10 40
9.72238 2 9.73435 2 9.74587 2 9.75696
9.72259 4 9.73455 4 9.74606 4 9.75714
9.72279 6 9.73474 6 9.74625 6 9.75733
9.72299 8 9.73494 8 9.74644 8 9.75751 7
9.72320 10 9.73513 10 9.74662 10 9.75769 9
9.72340 12 9.73533 12 9.74681 11 9.75787 11
9.72360 14 9.73552 14 9.74700 13 9.75805 13
9.72381 16 9.73572 16 9.74719 15 9.75823 14
9.72401 18 9.73591 18 9.74737 17 9.75841 16
9.72421
9.73611
9.74756
Cos
58°
9.75368
245
29
56
28
52
27 48
9.75386 7
26 44
25 40
24 36
23
82
22 28
21 24
20 20
2
19
16
ста
18
12
5
17 8
7 16
4
+1
245
9
36
8 $2
my
28
6 24
43344
5 20
16
12
2
1
4.
9.75859
0
0
Cos.
3h 44m
55°
3h 40m
Log Cosines.
Page 38]
TABLE III.
Log. Sines.

Time.
Arc.
2h 20m
35°
2h 24m
36°
2h 28m 37°
2h 32m
38°
2h 36m
39° Arc. Time.
m. s.
Sine.
P. P.
0
0
9.75859
18
Sine.
9.76922 17
P. P.
Sine. P. P.
Sine. P. P.
Sine.
P. P.
s. m.
9.77946
17
9.78934
169.79887
16 60
+4
4
1
9.75877 2
9.76939 2
9.77963
8
2
9.75895
4 9.76957
3
12
3
9.75913
5
ст
LO
5
235
16
4
9.75931
20
5
9.75949
9
24
6
9.75967 11
28
9.75985 13
32
8
9.76003 14
36
9
9.76021 16
40
10
9.76039 18
4 4
11
9.76057
48 12
9.76075
52 13
9.76093
1245
56 14
9.76111
7
+1
15
9.76129
9
4
16
9.76146 11
8
17
9.76164 13
12
18
9.76182 14
16
19
9.76200 16
20 20
9.76218 18
24
21
9.76236
28 22
9.76253
32
23
9.76271
1245
36
24
9.76289
7
40 25
9.76307
9
4.4
26
9.76324 11
48
27
9.76342 13
9.77387 12
52
28
9.76360 14
9.77405 14
9.77319 5 9.78329
9.77336 7 9.78346
9.77353 9 9.78362
9.77370 10 9.78379 10
9.78395 11
9.78412 13
∞ LO
3
9.78950 2 9.79903
9.77980
9.78967 3 9.79918 3
9.76974
9.77997
9.78983 5 9.79934 5 57
7 9.76991 7 9.78013 7 9.78999 6 9.79950 6 56 44
9.77009 9 9.78030 9 9.79015 8 9.79965 8 55 40
9.77026 10 9.78047 10 9.79031 10 9.79981 10 54 36
9.77043 12 9.78063 12 9.79047 11 9.79996 11 53 32
9.77061 14 9.78080 14 9.79063 13 9.80012 13 52 28
9.77078 15 9.78097 15 9.79079 14 9.80027 14 51 24
9.77095 17 9.78113 17 9.79095 16 9.80043 15 50
9.77112 2 9.78130 2 9.79111 2 9.80058 2 49
9.77130 3 9.78147 3 9.79128
9.77147 5 9.78163 5 9.79144
9.77164 7 9.78180 7 9.79160 6
9.77181 9 9.78197 9 9.79176 8
9.77199 10 9.78213 10 9.79192 10
9.77216 12 9.78230 12 9.79208 11
9.77233 14 9.78246 14 9.79224 13
9.77250 15 9.78263 15 9.79240 14
9.77268 17 9.78280 16 9.79256 16
9.77285 2 9.78296 2
9.77302 3 9.78313
2 COLO
59 56
58 52
48
20
3 9.80074
9.80089
CT CO NO
16
3
48
12
47
8
9.80105 6 46
9.80120 8 45
9.80136 9 44 56
9.80151 11
9.80166 12
9.80182 14
9.80197 15 40 40
4
+3
43 52
42 48
41 44
9.79272
9.79288
5 9.79304
235
9.80213
9.80228
9.80244
23 LO
39 86

38
32
37
28
6
56
29
9.76378 16
9.77422 15
-+2
30 9.76395 18 9.77439 17
9.78428 14
9.78445 16
6 19.79319
8 9.79335 8
9.79351 10
9.79367 11
9.79383 13
9.79399 14 9.80336 14
9.80259 6
36 24
9.80274 8
9.80290
9.80305 11
35
20
34
16
33 12
9.80320 12
32
8
31
4
9.79415 16 9.80351 15
30
+2
4 31
9.76413
8 32 9.76431
12
33 9.76448
245
9.77456 2 9.78461
9.77473 3 9.78478
9.77490 5 9.78494
2 3 LO
9.79431
9.79447
5
9.79463
235
9.80366 2 29
9.80382
9.80397
16 34 9.76466 7 9.77507 .7 9.78510 6
9.79478 6 9.80412
20 35
24 36
28 37
9.76484
9.76501
9.76519 13
9
11
9.77524 9
9.77541 10
9.77558 12
32 38
9.76537 14
36
39
9.76554 16
40
40
9.76572 17
44
41
9.76590
48
42
9.76607
52
43
9.76625
CT COLO
56
44
9.76642
+-3
45
46
S
47
12
16
48
9.76730
49
20
17
9.76747
50
24
51
2
9.76765
28
52
9.76782
32
53
9.76800
36
54
9.76817
40
55
9.76835
IN SOLO ta
3 9.77812
5
7
44
56
9.76852
48
57 9.76870
88
52
58
9.76887
56
59
9.76904
+4
60
9.76922
Cos.
9.77946
Cos.
512
3b 36m
53°
3h 32m
9.77829
9.77846 7 9.78837 6
9 9.77862
8
9 9.78853
10
10
9.77879
9.78869 10
12 9.77896 12 9.78886 11
14 9.77913 14 9.78902 13
15 9.77930 15
14
9.78918
9.78934
Cos.
52°
235
9.78805
9.78821
9.78527 8 9.79494 8 9.80428
9.78543 10 9.79510 10 9.80443
9.78560 11 9.79526 11 9.80458 11
9.77575 14 9.78576 13 9.79542 13 9.80473 12
9.77592 15 9.78592 14 9.79558 14 9.80489 14 21 24
9.77609 1'7 9.78609 16 9.79573 16 9.80504 15 20 20
2 9.77626 2 9.78625 2 9.79589 2 9.80519
19 16
3 9.77643
9.78642 3 9.79605 3 9.80534
18
5 9.77660 5 9.78658 5 9.79621 5 9.80550
7 9.77677 7 9.78674 6 9.79636 6 9.80565 6 16
9.76660 9 9.77694 9 9.78691 8 9.79652 8 9.80580 8
9.76677 10 9.77711 10 9.78707 10 9.79668 10 9.80595 9
12
9.76695
9.77728 12
11
9.78723
9.79684
11
11 9.80610
13 52
9.76712 14 9.77744
14
9.78739 13 9.79699 13 9.80625 12 12 48
15 9.77761 15 9.78756 14 9.79715 14 9.80641 14 11 44
9.77778 17 9.78772 16 9.79731 16 9.80656
9.77795
9.78788 2
2
9.79746
9.80671
9.79762 3 9.80686
9.79778
669 GWN]
56
3
28
52
5 27
48
26
44
8
25
40
24 36
23 32
22 28
2350
12
17 8
4
15 +1
14 56
15
10 40
3
3
ст
5
ст
5
9.80701
6
9.79793
9.80716
9.79809 8 9.80731
9.79825 10 9:80746 9
11
9.79840
11
9.80762
13
9.79856
9.80777 12
9.79872 14 9.80792
9.79887
9.80807
966 N
2
9 36
8 32
28
6
24
8
5
20
16
3
12
2
8
14
1
4
0
0
Cos.
Cos.
3h 28m
51° 3h 24m
3h 24m
50°
3h 20m
Log. Cosines.

TABLE III.
[Page 39
Log. Sines.
2h 48m.
2h 48m
Time. Arc.
2h 40m
40°
2h 44m
41°
42°
2h 52m
43°
2h 56m
44° Arc. Time.
m. S.
Sine.
P. P.
Sine.
P. P.
Sine.
P. P.
0
0
9.80807
15
9.81694
14
9.82551 14
4
1
9.80822
8
2
9.80837
12
3
9.80852
235
9.81709
1
9.82565 I
3
9.82579 3
16
4
9.80867
6
20
5
9.80882 8
24
6
9.80897 9
28
ry
9.80912
32
8
9.80927
36
9
9.80942 14
40
10
9.80957 15
9.81839 14
44
11
9.80972
48
12
9.80987
52
13
9.81002
56
14
9.81017
+1
15
9.81032
12 3 LO10000
5
9.81854 1
9.81868 3
9.81882 4
6
9.82747
9.82761
467
44
4 16
8 17
44 26
9.81047 9
9.81061 11
12 18 9.81076 12
16 19 9.81091 14
20 20 9.81106 15
24 21 9.81121
28 22 9.81136
$2 23 9.81151
·86 24 9.81166
40 25 9.81180 8
9.81195 9
9.82775
235
6
48 27
9.81210 11
52 28
9.81225 12
56 29
9.81240 14
+2
30
9.81254 15
4 31
9.81269 2
32
9.81284 3
9.81299 5
9.81314 6
9.81328 8
9.81343 9
9.81358 11
48 42 9.81431
52 43 9.81446
2350
9.82297 3 9.83133
8
12 33
16 34
20 35
9.84630 7 25 40
24 36
9.84643 8
28 37
9.83065 10 9.83874 9 9.84656 9
32 38 9.81372 12 9.82240 11 9.83078 11 9.83887 10 9.84669 10
86 39 9.81387 14 9.82255 13 9.83092 13 9.83901 12 9.84682 12
40 40 9.81402 15 9.82269 14 9.83106 14 9.83914 13 9.84694 13 20
4.4 41 9.81417
9.82283 I 9.83120 1 9.83927 1 9.84707 1 19
3 9.83940 3 9.84720 3 18 12
6 9.81897
8 9.81911 7
9.81926 8
9.81940 10 9.82788 10
9.81955 11 9.82802 11
9.81969 13 9.82816 13
9.81983 14 9.82830 14
9.81998 1 9.82844 1
9.82012 3 9.82858 3 9.83674 3
9.82026 4 9.82872 4 9.83688 4
9.82041 6 9.82885 6 9.83701 5
9.82055 7 9.82899 7 9.83715 7
9.82069 8 9.82913 8 9.83728 8
9.82084 10 9.82927 10 9.83741 9
9.82098 11 9.82941 11 9.83755 10 9.84540 10
9.82112 13 9.82955 13 9.83768 12 9.84553 12
9.82126 14 9.82968 14 9.83781 13 9.8-1566 13
9.82141 1 9.82982 1 9.83795 1
9.82155 3 9.82996 3 9.83808 3
9.82169 4 9.83010 4 9.83821
9.82184 6 9.83023 6 9.83834
9.82198 7 9.83037 7 9.83848
9.82212 8 9.83051 8 9.83861 8
9.82226 10
9.81723
9.81738 4 9.82593 4 9.83419
9.81752 6 9.82607 6 9.83432 6
9.81767 7 9.82621 7 9.83446 7 9.84242
9.81781 8 9.82635 8 9.83459
9.84255
8
9.81796
11
10 9.82649 10 9.83473 10 9.84269
53
9
32
12 9.81810 11 9.82663 11 9.83486 11 9.84282
52 28
10
9.81825 13 9.82677 13 9.83500 13 9.84295 1.2 51 24
9.82691 14 9.83513 13
13
9.84308
50
9.82705 1 9.83527
9.84321
9.82719 3 9.83540 3 9.84334
9.82733
9.83554 4 9.84347 4
9.83567 5 9.84360 5
9.83581 7 9.84373
9.83594 8 9.84385
9.83608 9 9.84398
9.83621 10
9.83634 12
9.83648 13
Sino.
9.83378 14
9.83392
9.83405 3
P. P.
Sine.
P. P.
s. m.
9.84177
13
60
+4
1
9.84190
1
59
56
9.84203
3
58
52
4 9.84216
4
57 48
9.84229
5
56
44
7
55 40
8
54
36
20
1
49 16
867 AW
3 48
12
47
8
46
4
45
+3
44 56
9.83661 1
9
9.84411 10
12
9.84424
9.84437 13
9.84450 1
9.84463 3 38 $2
9.84476 4
9.84489 5
43
52
42 48
41 44
40
40
39 36

37 28
36
24
9.84502 7
35
20
9.84515 8
34
16
9.84528 9
33
12
32 8
31
4
30
+2
457∞
9.84579 1
9.84592 3 28 52
9.84605 4 27 48
29 56
9.84618 5 26
44
24 36
23 32
22 28
21 24
20
16
CO
46
44 56
48 57
52 58
56
59
9.82311
9.83147 4 9.83954 4 9.84733 4 17
56 44 9.81461 6 9.82326
9.83161 6 9.83967 5 9.8-4745
+3 45 9.81475 8 9.82340 7 9.83174 7 9.83980 7 9.84758
4 46 9.81490 9 9.82354 8 9.83188 8 9.83993 8 9.84771
56
8 47 9.81505 11. 9.82368 10 9.83202 10 9.84006 9 9.84784 9 13 52
12 48 9.81519 12 9.82382 11 9.83215 11 9.84020 10 9.84796 10 12 48
16 49 9.81534 14 9.82396 13 9.83229 13 9.84033 12 9.84809 12 11 4.4
20 50 9.81549 14 9.82410 14 9.83242 14 9.84046 13 9.84822 13 10 40
24 51 9.81563 1 9.82424 1 9.83256 1. 9.84059 1 9.84835 1
28 52 9.81578 3 9.82439 3 9.83270 3 9.84072 3 9.84847 3
32 53 9.81592 4 9.82453 4 9.83283 4 9.84085
36 54 9.81607 6 9.82467 6 9.83297 6 9.84098
40 55 9.81622 7 9.82481 7 9.83310 .7 9.84112
9.81636 8 9.82495 8 9.83324 8 9.84125
9.81651 10 9.82509 10
9.81665 11 9.82523 11 9.83351 11
9.81680 13 9.82537 13 9.83365 13
SHILO 78
8
5
16 4
15
+1
14
9
36
457 ∞
9.84860 4
9.84873
9.84885
8 9.84898 8
SO HLOT∞
8
32
7
28
5
6 24
7
5
20
4
16
9.83338 10
9.84138 9 9.84911 9
9.84151 10 9.84923 10
9.84164 12 9.84936 12
3
12
2
8
1
4.
+4
60
9.81694
9.82551
9.83378
9.84177
9.84949
0
Cos.
Cos.
Cos.
Cos.
49°
3h 16m
48°
sh 12m
470 3h gm
sm
46°
3h 4m
Cos.
45°
3h Om
Log. Cosines.

Page 40]
TABLE III.
Log. Sines.
Time. Arc.
3h Om
45°
3h 4m
46°
3h 8m 47° Sh 12m
48°
3h 16m
49° Arc. Time.
m.
S.
Sine.
P.P.
0
0
4
8
12
16
20
24
1233
4
5
9.84949 13
9.84961 1
9.84974 3
9.84986 4
9.84999 5
9.85012 7
Sine.
9.85693
9.85706 1
9.85718 2
9.85730 4
P.P.
12
Sine. P.P.
9.86413 12 9.87107
Sine.
P.P.
Sine.
P.P.
S. m.
119.87778 11 60
+4
24
9.86425 1 9.87119 1 9.87789 1 59
9.86436 2 9.87130 2 9.87800 2
56
58
52
9.85024 8
9.85742 5
9.85754 6
9.85766 7
28
ៗ
9.85037 9
9.85779 8
32
8
9.85049
10
36
9
9.85062 12
40 10
9.85074 13
9.85791 10
9.85803 11
9.85815 12
44 11
48 12
52 13
56
14
+1
15
48
16
9.85150 8
9.85087 1 9.85827 1
9.85100 3 9.85839
9.85112 4 9.85851
9.85125 5 9.85864 5
9.85137 7 9.85876 6
9.85888 7
24
9.86448
9.87141 3
9.86460 5 9.87153 4
9.86472 6 9.87164 6
9.86483 7 9.87175 7
9.86495 8 9.87187 8
9.86507 10 9.87198 9
9.86518 11 9.87209 10
9.86530 12
9.86542 1
9.86554 2 9.87243
9.87811 3
57
48
9.87822 4
9.87833
9.87844 7
9.87855 8
9.87866 9 52
56
44
6 55
40
54 36
53
32
28
9.87877 10 51
24
9.87221 11 9.87887 11
50
20
9.87232 1 9.87898
9.86565
4 9.87255
9.86577
9.86589 6
17
9.85162
9
12
18
9.85175 10
16 19
9.85187 12
9.85900 8
9.85912 10
9.85924 11
20 20
9.85200 12
24 21
9.85212
1
28 22
9.85225
32 23
9.85237
36 24 9.85250
245
245
40 25
9.85262 6
44 26
9.85274 7
48 27
9.85287 8
9.86020 8
52 28
9.85299 10
9.86032 10
56
29
9.85312 11
9.86044 11
+2
30
4 31
9.85324 12
9.85337 1
9.86056 12
8 32 9.85349
9.85361
24
2+
9.86786 2 9.87468
9.86092 4 9.86798 4 9.87479
9.86705 6
9.86717 7
9.86728 8
9.86740 10
9.86752 11
9.86763 12
9.86068 1 9.86775 1 9.87457 1 9.88115
9.86080
5 9.87266
9.87277
9.86600 7 9.87288
9.87953 7 44
9.86612 8 9.87300 8 9.87964
9.86624 10 9.87311 9 9.87975
9.86635 11
9.87322 10 9.87985
9.85936 12 9.86647 12 9.87334 11 9.87996
9.85948 1 9.86659 1 9.87345 1 9.88007
9.85960 2 9.86670
9.85972 4 9.86682
9.85984 5 9.86694
9.85996 6
9.86008 7
23 4 COD∞
9.87909
9.87920
9.87931
6 9.87942 6 45
7
123HOT 100
49
16
48 12
47
4
46
4
84
+3
8
56
43 52
9 42 48
10 41 44
11 40 40
1 39 36
9.87356
9.87367
23
9.88018
9.88029
9.87378
9.87390 6
9.87401 7
4
9.88040
9.88051
123H CO
38 32

37
28
4
36
24
6
35
20
9.88061 7
34
16
9.87412 8 9.88072 8
9.87423 9
9.87434 10
33
12
9.88083 9 32 8
9.88094 10 31
4
9.87446 11
9.88105 11
30
+2
23
9.88126
.9.88137
4 9.88148 4 26 44
9.88158 6
9.88169
123O7
29
56
28 52
27 48
12 33
16 34
20 35
24 36
28 37
32 38
36 39
40 40
52 43 9.85485
24
9.85374 5 9.86104 5 9.86809 5 9.87490
9.85386 6 9.86116 6 9.86821 6 9.87501 6
9.85399 7 9.86128 7 9.86832 7 9.87513 7
9.85411 8 9.86140 8 9.86844 8 9.87524 8 9.88180 8
9.85423 10 9.86152 10 9.86855 10 9.87535 9 9.88191 9
9.85436 11 9.86164 11 9.86867 11 9.87546 10 9.88201 10
9.85448 12 9.86176 12 9.86879 11 9.87557 11 9.88212 11
44 41 9.85460 1 9.86188 1 9.86890 1 9.87568 1 9.88223 1
48 42 9.85473
9.86200 2 9.86902
9.87579 2 9.88234
9.86211 4 9.86913
25 40
24 36
23 32
22
21 24
20 20
28
19
16
56 44
5 9.86924
+3
4
16
45
46
8 47
12 48
49
20
50
24
51 9.85583
1
28
52 9.85596
32
53 9.85608
24
36
54
9.87039
44
56
48
57
52
58
56
59
9.85497 5 9.86223
9.85510 6 9.86235 6 9.86936 6 9.87613 6 9.88266
9.85522 7 9.86247 7 9.86947 7 9.87624 7 9.88276 7 14 56"
9.85534 8 9.86259 8 9.86959 8 9.87635 8 9.88287 8
9.85547 10 9.86271 10 9.86970 9 9.87646 9 9.88298
9.85559 11 9.86283 11 9.86982 10 9.87657 10 9.88308 10
9.85571 12 9.86295 12 9.86993 11 9.87668 11 9.88319 11
9.86306 1 9.87005 1 9.87679 1
1
9.88330
9.86318 2 9.87016 2
2
9.87690
9.88340
9.86330 4 9.87028
9.87701 3 9.88351
9.85620 5 9.86342
9.87712 4 9.88362
6
40 55 9.85632
9.86354 6 9.87050
9.87723
9.88372
6
9.85645 7 9.86366 7 9.87062
9.87734 7 9.88383
9.85657 8 9.86377 8 9.87073 8
9.85669 10 9.86389 10 9.87085 9
9.85681 11 9.86401 11 9.87096 10
234 CO
9.87590 3 9.88244
9.87601 4 9.88255
234 CO
18 12
17 8
16
4
6
15 +1
13
52
12 48
11 44
10 40
9 36
3467
23467
8
32
28
6
24
5
20
4
16
+4
60
9.85693
Cos.
9.86413
Cos.
44° 2h 56m
43° 2h 52m
9.87107
Cos.
42° 2h 48m
Cos.
41° 2h 44m
9.87745 8 9.88394 8
9.87756 9 9.88404 9
9.87767
9.88415
10
10
9.87778
9.88425
Cos.
40° 2h 40m
3 12
2 8
1
4
0
Log. Cosines.

TABLE III.
[Page 41
Log. Sines.
Time. Arc.
3h 20m
50°
m.
S.
Sine.
P.P.
0
0
9.88425 11
3h 24m 51°
Sine.
P.P.
9.89050 10
4
1
8
12
16
20
24
Q26 LOS
3
4
9.88436 1
9.88447 2
9.88457 3
9.88468 4
9.89060 1
3h 28m 52°
Sine. P.P.
9.89653 10
9.89663 1
9.89071 2
9.89673
3h 32m 53°
Sine.
9.90235
9.90244
2 9.90254
3h 36m
54°
Arc. Time.
P.P.
Sine.
9 9.90796
P.P.
S.
m.
9 60
+4
1 9.90805
3
4
5 9.88478
6
6
28
82
8
86 9
40 10
9.88489 7
9.88499 8
9.88510 9
9.88521 10
9.88531 11
44 11
48 12
9.88542
9.88552
52 13
9.88563
56 14
9.88573
+1
15
4 16
8 17
12 18
16 19
20 20
9.88584
9.88594 7
9.88605 8
9.88615 9
9.88626 10
9.88636 10
123 ON
9.89081
9.89091
9.89101 5 9.89702
9.89112 6 9.89712
9.89122 7 9.89722
9.89132 8 9.89732 8
9.89142 9 9.89742 9
9.89152 10 9.89752 10
9.89162 1 9.89761 1
9.89173 2 9.89771
9.89683
3 9.90263
9.89693
4
9.90273
5
9.90282
6
9.90292
23 H LO LO
9.90814
9.90823
4
5 9.90842
5 9.90851
7
9.90301 6 9.90860 6 53 32
9.90311 7 9.90869
9.90320 8 9.90878
123 10 10 N∞
59
56
58
52
57 48
9.90832 4 56 44
5
55
40
5
54
36
7 52 28
51 24
9.90330 9 9.90887 9 50 20
9.89183 3
9.89781
4
9.89193 4
9.89791
6 9.89203 5
9.89801
234 LO
9.90339 1
9.90349 2
9.90896
9.90358 3 9.90915
9.90368
9.90377
9.89213 6
9.89810
6
24
21
9.88647
28 22
9.88657
32 23
123+ LOCO
9.90386 5
9.89820 7 9.90396 6
9.89830 8 9.90405 7
9.89840 9 9.90415 8
9.89849 10 9.90424 9
9.89859 1 9.90434 1
стота соло
9.90906
4
9.90924
5
9.90933
9.88709 7
9.88668
36 24 9.88678 4 9.89294 4 9.89888
40 25 9.88688 5 9.89304 5
44 26 9.88699 6 9.89314 6
48 27
9.89223 7
9.89233 8
9.89244 9
9.89254 10
9.89264 1
9.89274 2 9.89869 2 9.90443 2 9.90996 2 38
9.89284 3 9.89879 3
9.90951 6 43
9.90960 7 42
9.90969
9.90978 9
9.90452
4 9.90462
52 28
9.88720 8
56
29
9.88730 9
+2
30
9.88741 10
9.89354 10
9.89898 5 9.90471
9.89908 6 9.90480
9.89324 7 9.89918 7 9.90490 6
9.89334 8 9.89927 8 9.90499 7
9.89344 9 9.89937
9.90509 8
9.89947 10 9.90518 9
234 LO LO
9.91005
9.91014
9.91023
9.91033
9.91042
9.91051 7
9.91060 8 31
123TH LO LOGOT∞OHN CHLO LOCON∞
49 16
48
12
47
8
4 46
4
5 45
+3
9.90942 5 44 56
52
48
8
41
44
40
40
9.90987 1 39 36
32
37
28

36 24
5
35
20
34
16
6
33
12
32
8.
4
9.91069 9 30
+2
4
31
9.88751 1 9.89364 1 9.89956 1 9.90527 1 9.91078
8 32
12 33
9.88761
9.88772
16 34 9.88782
234 LO CO
9.89375 2.9.89966
9.89385
3
9.89395
9.89405
9.89415
BLO CO
9.89976
4
9.89985
40 40
44 41
48 42
52 43
9.88875
56 44
9.88886
+3 45
9.88896
4
46 9.88906
234 LO CO
20 35 9.88793
24 36 9.88803
28 37 9.88813 7 9.89425 7 9.90014 7 9.90583 6 9.91132
32 38 9.88824 8 9.89435 8 9.90024 8 9.90592 7 9.91141
36 39 9.88834 9 9.89445 9 9.90034 9 9.90602 8 9.91149
9.88844 10 9.89455 10 9.90043 10 9.90611
9.88855
9.88865
5 9.89995
6 9.90005
234 LO CO
9.90537
9.90546
9.90555 4 9.91105
5 9.90565 5 9.91114
23 +LO
9.91087
9.91096
9.90574 5 9.91123
1234550
29
56
28 52
27 48
26 44
25 40
24 36
6
23 82
7
22 28
8 21 24
9
9.91158 9 20 20
1 9.89465 1 9.90053 1 9.90620
9.89475 2 9.90063 2 9.90630 2
9.89485 3 9.90072 3 9.90639
1
9.91167 1
9.91176
19
16
5
9.89495 4 9.90082 4 9.90648
9.89504 5 9.90091
9.90657
5
6 9.89514 6 9.90101 6 9.90667
CHLO LO
9.91185
4 9.91194
5 9.91203
5 9.91212 5
8 47
12 48
16 49
20 50
24 51
28 52
9.88917 7
9.88927 8
9.88937 9
9.88948 10
9.88958
9.89524 7
9.89534 8
9.89544 9
9.90111 7 9.90676 6 9.91221 6 13 52
9.90120 8 9.90685 7 9.91230 7 12 48
9.90130 9 9.90694 8 9.91239
11 44
234 O LOCO
18
12
17
8
16
4
5
15
+1
14 56
82 53
9.88968
9.88978
123+
39° 2h 36m
9.89653
Cos.
38° 2h som
9.89554 10 9.90139 10 9.90704 9 9.91248 9 10
9.89564 1 9.90149 1 9.90713 1 9.91257 1
9.89574 2 9.90159
9.89584 3 9.90168
36 54 9.88989 4 9.89594 4 9.90178
40 55 9.88999 5 9.89604 5 9.90187
44 56 9.89009 6 9.89614 6 9.90197 6 9.90759 5 9.91301
48 57 9.89020 7 9.89624 7 9.90206 7 9.90768 6 9.91310 6
52 58 9.89030 8 9.89633 8 9.90216 8 9.90777 7 9.91319 7
56 59 9.89040 9 9.89643 9 9.90225 9 9.90787
+4 60 9.89050
9.90796
Cos.
Cos.
36° 2h 24m
2 9.90722 2 9.91266
стота соло
3 9.90731 3 9.91274 3
4 9.90741
4 9.91283 4
5 9.90750 5 9.91292 5
∞QHNOHLO LO
40
2
Pes
9
36
8
32
7 28
6
24
5 20
4
16
3
12
2
8 9.91328
со
1
4
9.90235
9.91336
0
(
Cos.
37° 2h 28m
Cos.
35° 2h 20m
•
Log. Cosines.

Page 42]
TABLE III.
Log. Sines.
Time. Arc.
3h 40m
55°
3h 44m
56°
m. S.
Sine.
P. P.
Sine.
P. P.
0
0
9.91336
9
9.91857
8
4 1
9.91345
1
9.91866
8
2
9.91354
12
3
9.91363
16
4
9.91372 4
20
5
9.91381 5
24
6
9.91389 5
28
༡
9.91398 6
32
8
9.91407
7
36
9
9.91416
40
10
9.91425 9
44 11
9.91433
48 12
9.91442
52
13
9.91451
56 14
+1
15
9.91460
9.91469
8
4 16
17
12 18
16 19
9.91477
23+ LO LO COT∞→ ∞ ∞ LO LOCO
9.91874
9.91883
9.91891
9.91900 4
9.91908 5
∞12 NOT LO
3h 48m
Sine.
9.92359 8
57°
P. P.
3h 52m
58°
3h 56m
59°
Sine.
9.92842 8
P. P.
9.92367 1
9.92850
2
3
9.91917 6
9.91925 6
8
9.91934 7
9.91942 8
9.92376 2 9.92858
9.92384 2 9.92866
9.92392 3
9.92400
9.92408
9.92416 6
9.92425 6
9.92433 7
9.92441 8
∞1223 +O
Sine.
9.93307
1
2
9.91951 1
9.91959
39.91968
9.92449
4
5
9.91976
9.91985 4
5
9.91993
223 L
9.92457
9.92465
9.92473
9.92482
5
9.92490
9.91486 6 9.92002 6
9.92498
12200 4 LO CO
3 9.92952
9.92960
5
122 COLO
9.93390
9.93397
9.93405
9.92874
9.92881 4 9.93344 4 55 40
9.93352 5 54 36
9.93360 6 53 32
9.93367 6 52 28
9.93375 7 51 24
9.92889 5
9.92897 6
9.92905 6
9.92913 7
9.92921 8
9.92929
9.92936
9.92944
∞∞NLO
P. P.
Arc. Time.
S. m.
8 60 +4
9.93314 1 59
9.93322 2 58 52
56
9.93329 2
57
48
9.93337 3 56
44
9.93382 8
50 20
1
49
16
3
9.93412
4
9.93420
9.92968 5 9.93427 5
6
9.91495 7
9.92010 6
9.92506 6
20 20
9.91504
9.91512
8
9.92018 7
9.92514 7
9
9.92027 8
24 21
9.91521
28 22 9.91530
32 23 9.91538
36 24 9.91547 4 9.92060 3
40 25 9.91556
44 26 9.91565 5
48 27 9.91573
52 28 9.91582
56 29
123TH LO LOT∞
9.92035 1
9.92522 8
9.92530 1
9.92976 6 9.93435 6
9.92983 6
9.92991 7
9.92999 8
9.93007 1
223 HLO
48 12
47
8
46
4
45
+3
44 56
43
52
9.93442 6
9.93450 7
9.93457
42 48
41 44
40 40
9.93465 1
39 36
9.92044 2
9.92052
5 9.92069 4
A WINN
9.92538 2
9.93014
2 9.92546 2
9.93022
9.92077
9.92555 3
9.92563 4
9.92571
9.93030
9.93038 4
223 +
9.93472 1
38 32

9.93480 2 37
28
9.93487 3
36
24
9.93495 4
35
20
9.93046 5.
9.93502 4
34
16
6 9.92086 6
9.92579 6
9.93053 6
9.93510 5
33 12
7 9.92094 6 9.92587 6
9.91591 8 9.92102 7
9.93061 6
9.93517
32 8
9.92595 7
9.93069 7
+2
30 9.91599 9 9.92111 8 9.92603 8
4
31
9.91608 1 9.92119
8 32 9.91617
12 33 9.91625
16 34 9.91634
20 35 9.91643
24 36 9.91651
28 37 9.91660
32 38 9.91669
9.92136
4 9.92144
5 9.92152
5 9.92161.
36 39
23 LO LO CO7∞
9.92127
5 9.92651 5
6 9.92169 6 9.92659 6
9.92177 6 9.92667 6
9.91677 8 9.92186 7 9.92675 7
∞12 O 3 + LO
9.92611
9.92619
2 9.92627
9.92635 3
4 9.92643 4
∞12OLO
9.93077 8
9.93084
9.93092
9.93100
9.93108 3
9.93115
9.93123 5
9.93131 6
122
9.93525 6
9.93532 ry
9.93539 1 29
9.93547 1
9.93554 2
9.93562
9.93569 4
9.93577 4
31
4
30
+2
56
28 52
27 48
3 26 44
25 40
24 36
9.93584 5
23 32
9.93138 6
9.93591 6
22
28
9.93146 7
9.93599、 6
21
24
40
40 9.91686 9 9.92194 8 9.92683 8
44
41
9.91695
1 9.92202
48
42
9.91703 2 9.92211
52
43
9.91712 3 9.92219
56 44
9.91720 4 9.92227 3
+3
45
9.91729 5 9.92235
4
46
9.91738 5 9.92244 5 9.92731
8
47
9.91746 6 9.92252
∞122 BELO SO
12
48
16 49
20
50
24
51
28
52
9.91781
9.91789
2 9.92293
32
53
9.91798 3 9.92302
36 54
40
55
44
48
57
52
58
56
59
9.91849
+4
69
9.91857
Cos.
34°
2h 16m
9.92771 1
9.92779 2
9.92787 2
9.91806 4 9.92310 3 9.92795 3
9.91815 5 9.92318 4 9.92803 4
56 9.91823 5 9.92326 5 9.92810 5
9.91832 6 9.92335 6 9.92818 6
9.91840 7 9.92343 6 9.92826 6
8 9.92351 7 9.92834 7
9.92359
9.92842
Cos.
33° 2h 12m
∞12O LO
9.93154 8
9.92691 1 9.93161 1
9.92699 2 9.93169 2
9.92707 2 9.93177 2
9.92715 3 9.93184 3
4 9.92723 4 9.93192 4
5 9.93200 5
6 9.92739 6 9.93207 6
9.91755 7 9.92260 6 9.92747 6 9.93215 6
9.91763 8 9.92269 7 9.92755 7 9.93223 7
9.91772 9 9.92277 8 9.92763 8 9.93230 8
9.92285
9.93238 1
9.93246
9.93606
20 20
CT A WINN
11
6
ry
1
9.93687
9.93614 1 19 16
9.93621 1 18 12
9.93628 2 17 8
9.93636 3 16 4
9.93643 4 15
9.93650 4 14
9.93658 5
9.93665
9.93673
9.93680
+1
56
13 52
12 48
44
10 40
9 36
9.93253
9.93261 3
9.93269
9.93276
222
9.93695 1
9.93702
8
32
9.93709
9.93717
9.93724
234+
28
6
24
Cos.
32° 2h sm
9.93284 6 9.93731 5
6
9.93291
9.93738 6
9.93299 7 9.93746 6
9.93307
9.93753
Cos.
20 H 60 62 1
5
20
4
16
3
12
Ο
840
4
31°
2h 4m
Cos.
30°
gh Om
Log. Cosines.

TABLE III.
[Page 43
Log. Sines.
Time. Arc.
4h Om
60°
4h 4m
61°
4h sm
62°
4h 12m
63°
4h 16m
64° Arc. Time.
m.
S.
Sine.
P. P.
0 0
9.93753
my
Sine.
9.94182
P. P.
my
4
1
9.93760 1
9.94189
8
2
12
16
20
24
OR SO TH LA CO
9.93768 1
9.94196
3
9.93775
2
9.94203
4
9.93782
9.93789
6
9.93797
344
9.94210
9.94217
9.94224
1124
Sine.
9.94593
9.94600 1
P. P.
my
Sine.
9.94988 6
P. P.
Sine.
9.95366
P. P.
S. m.
6
60 +4
9.94995
9.94607 1
9.95001
1
9.94614
3
9.94620
9.94627
9.94634
28
my
9.93804
5
9.94231 5
9.94640
234 45
9.95007
9.95014
9.95020
9.95027
223 +
9.95372 1
9.95378 1 58 52
9.95384 2 57 48
59 56
9.95391 2 56
44
9.95397 3 55
40
4
9.95403 4 54 36
9.95033
4
9.95409 4
53 32
32
8
9.93811
6
9.94238 6
9.94647
6
9.95039 5
9.95415 5
52 28
86
9
9.93819
6
9.94245 6
40 10
9.93826
9.94252 ร
44
11
9.93833 1
9.94259
48
12
9.93840 1
9.94266
52 13
9.93847 2
9.94273
56 14
9.93855 3
+1
15
9.93862
4
16
9.93869 4
9.94279
4 9.94286
9.94293
112344
9.94654 6
9.94660 ry
9.94667 1
9.95046 5
9.95421 5
51
24
9.95052 6
9.95427 6
50
20
9.95059 1
9.95434 1 49
16
9.94674
9.94680
9.94687
9.94694
8 17
9.93876 5
9.94300 5
12
18
9.93884
6
9.94307 6
16 19
9.93891 6
9.94314 6
9.94700
9.94707 5
9.94714 6
9.94720 6
1234
9.95065 1
9.95071
9.95440
20 20
9.93898
9.94321
9.94727 7
9.95078
9.95084
9.95090
9.95097 4
9.95103 5
9.95110
9.95116 6
223 +
9.95446
9.95452
9.95458
4
9.95464 4
9.95470 4 43
9.95482 5
9.95488 6 40
122HLO LOCO
48
12
47
8
46
4
3
45
+3
44
56
52
9.95476 5 42 48
41
44
40
24 21
9.93905
1
9.94328 1
9.94734 1
28 22
9.93912
32 23 9.93920
36 24
40 25 9.93934
44 26 9.93941
9.93927
48 27
9.93948
52 28
+2
4
9.94369 5
9.93955 '6 9.94376 6
56 29 9.93963 6 9.94383 6
30 9.93970 my 9.94390 7
31 9.93977 1 9.94397
12345
9.94335 1
9.94740 1
9.94342
9.94349
9.94355
9.94362
234+
9.94747
9.94753
9.94760
9.94767
234 +
9.95122 1
9.95129 1
9.95135 2
9.95141 2
9.95148 3
9.95513
9.95519
4
9.95154 4
9.95525 4
9.94773 5
9.95160 4
9.95531 4 33
9.94780 6
9.95167 5
9.95537 5 32
8 32
9.93984 1
9.94404
12 33
9.93991
16
34
9.93998
20 35
9.94005
24 36 9.94012
9.94020
234+ L
9.94410
9.94417
9.94424
112 B&
9.94786 6
9.94793
9.94799 1
9.95173 5
9.95543 5 31
9.95179 6
9.95549 6 30
9.95185 1
9.95555 1 29
9.94806 1
9.95192
1
9.94813 2 9.95198
3 9.94819 3 9.95204
+3
AWIN
36 54 9.94140
40
55 9.94147 4 9.94560
44 56 9.94154 4 9.94567
48
52 58
56 59
+4
HHOLO
3
9.94553
234 +
28 37
32 38 9.94027 6
36 39 9.94034 6
40 40 9.94041 ry
44 41 €9.94048 1
48 42 9.94055 1
52 43 9.94062 2
56 44 9.94069 3 9.94485 3 9.94885
9.95267 2 9.95633
45 9.94076 4 9.94492 4 9.94891
9.95273 3 9.95639 3 15
4 46 9.94083 4 9.94499 4 9.94898 4 9.95279 4 9.95645 4 14 56
8 47 9.94090 5 9.94506 5 9.94904 5 9.95286 4 9.95651 4 13 52
12 48 9.94098 6 9.94513 6 9.94911 6 9.95292
16 49 9.94105 6 9.94519 6 9.94917 6 9.95298 5 9.95663
20 50 9.94112 у 9.94526 7 9.94923 ร
24 51 9.94119 1 9.94533 1 9.94930 1
28 52 9.94126 1 9.94540 1 9.94936 1
32 53 9.94133 2 9.94546
234
4 9.94826 4 9.95211
9.94431 4 9.94832 4 9.95217 4 9.95585
5 9.94438 5 9.94839 5 9.95223 4 9.95591
9.94445 6 9.94845 6 9.95229 5
9.94451 6 9.94852 6
9.94458 ry 9.94858 ร 9.95242 6 9.95609 6 20
9.94465 1 9.94865 1 9.95248 1
9.94472 1 9.94871 1 9.95254 1
9.94479 2 9.94878
9.95261 2
AWN N
2
9.95567 2 27
2
9.95573
9.95579
9.95597 5 22
9.95236 5 9.95603 5 21 24
9.95627
стота
5 9.95657 5 12
9.95304 6 9.95668
223 LOLOSHH~~~ LOLS ~~~ LOLO CO
9.95494 1 39 36
9.95500
9.95507
1 38 32
37 28
36
24
35
20
34 16
12
8
4
+2
56
9.95561 1 28 52
48
2 26 44
3 25
4
23
40
24 36
32
28
20
9.95615 1 19 16
9.95621 1 18 12
2 17
2 16
4
+1
48
5 11
4.44.
6
10
40
9.94943 2 9.95323
9.94949
9.94956
4 9.94962
A A W
3
9.95329
4 9.95341
122♡ →
9.95310 1 9.95674
9.95317
1
9
36
9.95680 1
9.95686 2
32
9.95692
2
9.95335 3 9.95698
3
4. 9.95704
5'7 9.94161 5 9.94573 5 9.94969 5
60
9.94182
Cos.
29°
1h 56m
9.94168 6 9.94580 6 9.94975 6
9.94175 6 9.94587 6 9.94932 6
9.94593
9.94988
Cos.
Cos.
28° 1h 52m 2yo 1h 48m
9.95348 4 9.95710 4
9.953:54 5 9.95716
9.95360 5 9.95722
9.95366
9.95728
Cos.
26° 1h 44m
стота на солмо
28
6
24
5
20
4
4
16
3
12
5
2
8
1
4
0
Cos.
25°
1h 40m
"

Log. Cosines.

Page 44]
TABLE III.
Log. Sines.
Time.
Arc.
4h 20m
65°
4h 24m
66°
66°
4h 28m 67°
4h 32m
68°
4h 36m
4h 36m 69°
Arc. Time.
m.
S.
Sine.
P. P.
Sine.
P. P.
Sine. P. P.
Sine.
P. P.
Sine.
P. P.
S. m.
0
0
9.95728
6
9.96073
6
9.96403
5
4
8
12
16
20
IQLA
1
9.95733 1
9.96079
1
9.96408
2
9.95739
1
9.96084
3
9.95745
4.
9.95751
9.95757
24 6
28
32
8
9.95763 4
9.95769 4
9.95775 5
36
9
9.95780
223LO LO
9.96090
9.96112 4
9.96118 5
5
40
10
9.95786
6
44
11
9.95792
"
48 12
9.95798
52 13
9.95804
56 14
+1
15
4 16
8 17
12 18
16 19
20 20
9.95827
9.95833
9.95839 5
9.95844 6
1123+ LOLO
9.96123 5
9.96129 6
9.96135 1
9.96140 1
9.96146 2
122 LO
9.96413
9.96095
9.96101 3
9.96107 4
9.96419
2 9.96732
9.96424 2 9.96737
9.96440 4
9.96445 4
9.96451
9.96456 5
9.96461 1
9.96467 1
9.96472 2
9.96151
9.96157
24 21
28 22
9.95850
1
9.95810
9.95815
9.95821 4 9.96162
4 9.96168 4 9.96493 4
5 9.96174 5 9.96498 4
9.96179 5 9.96504 5
9.96185 5
9.96190 1
234
9.96509
BT1∞∞∞∞ LO LAHHNN MM LA
9.96717
16
5
9.97015
5
60
+4
9.96722 1
9.96727
9.97020 1 59
56
9.96429 3 9.96742
9.96435 3 9.96747 3
3
5
122 ∞ LOPO
9.97025 1 58
9.97030 2 57
52
48
9.97035 2
56 44
9.96477 2 9.96788
9.96483 3
9.96488 3
9.96793 3
9.96818 5
9.95856
32 23
9.95862
36 24 9.95868
40 25 9.95873 3 9.96212
44 26 9.95879 4 9.96218
48 27 9.95885
52 28 9.95891
56
29 9.95897
122 HO LO
9.96196 1
9.96201 2
9.96207
233
4 9.96223 4
5 9.96229 4
9.96234 5
+2
30 9.95902
6 9.96240 5
4
31
9.95908
8 32
9.95914
12 33
9.95920
16 34
9.95925
20 35 9.95931
24
36 9.95937
28 37 9.95942
32 38 9.95948
36 39 9.95954
11223+ + 10 LO
9.96245 I
9.96251 1
9.96256 2
9.96262 2
9.96267 3
4 9.96273 3
4
9.96278 4
5
9.96284 4
5
9.96289 5
40 40
44 41
48 42
9.95960 6
9.96294 5
9.95965 1
9.96300 1
52
43
9.95971
9.95977
1
9.96305 1
56 44
9.95982
+3
45 9.95988
4
46 9.95994
8 47
12 48
16 49
20 50
9.96000
9.96005
9.96011
9.96017
22344
9.96311 2
9.96514 1 9.96823 1
9.96520 1 9.96828
9.96525 2 9.96833 2
9.96530 2 9.96838 2
9.96535 3 9.96843 3
9.96541 3 9.96848
9.96546 4 9.96853 4
9.96551 4 9.96858 4
9.96556 5 9.96863 5
9.96562 5 9.96868 5
9.96567 1 9.96873 1
9.96572 1 9.96878 1
9.96577 2 9.96883 2
9.96582 2 9.96888 2
9.96588 3 9.96893 3
9.96593 3 9.96898
9.96598 4 9.96903 4
9.96603 4 9.96907
9.96608 5 9.96912 5
9.96614 5 9.96917 5
9.96619 1 9.96922 1
9.96624 1 9.96927 1
9.96629 2 9.96932
22MM LO LOH H
9.97039
9.97044
9.96752 4 9.97049 4 53
9.96757 4 9.97054 4 52
9.96762 5
9.96767 5 9.97063 5 50
9.96772 1 9.97068 1 49
9.96778 1 9.97073 1 48
9.96783
3
55 40
3
54 36
32
28
9.97059 5 51
24
20
16
12
9.97078
2 47
8
9.97083
2
46
4
9.96798 3
9.96803 4 9.97097 4
9.96808 4
9.96818 5
9.97087
9.97092
3 45
+3
3 44
56
43
52
9.97102 4
42
48
9.97107 5
41 44

5
1
9.97111
9.97116
39
9.97121 1 38 32
9.97126 2 37
9.97130
40 40
36
28
2 36
24
ww
9.97135
3 35
20
3
9.97140
3 34 16
9.97145 4 33 12
9.97149 4 32
9.97154 5 31 4
9.97159 5 30
9.97163
9.97168 1
9.97173 2
1 29 56
28 52
8∞
+2
27 48
3
стана со соло
9.97178 2
26 44
9.97182
3
25 40
9.97187
3
24 36
9.97192
4
23 32
4
9.97196
4
22 28
9.96316 2
9.96322 3
9.96634 2 9.96937
5
5
24 51
9.96022
1
28
52
1
32 53
36 54
40
44
55
56 9.96050
4 9.96381
48
57 9.96056
4 9.96387
حت حر
3
9.96696
4 9.96701
52 58 9.96062
5 9.96392 4 9.96706
56
59 9.96067
+4
60
9.96073
5 9.96397 5 9.96711
9.96403
2234 10
9.96640 3 9.96942 3 9.97229 3 15 +1
9.96327 3 9.96645 3 9.96947 3 9.97234 3 14 56
9.96333 4 9.96650 4 9.96952 4 9.97238 4 13 52
9.96338 4 9.96655 4 9.96957 4 9.97243 4
9.96343 5 9.96660 5 9.96962
9.97248 5
6 9.96349 5 9.96665 5 9.96966 5 9.97252
9.96354 J 9.96670 1 9.96971 1 9.97257 1
9.96028
9.96360 1 9.96676 1 9.96976 1 9.97262 1
9.96034 2 9.96365 2 9.96681
9.96981 2 9.97266 2
9.96039 2 9.96370 2 9.96686
9.96986 2 9.97271 2
9.96045 3 9.96376 3 9.96691
9.96991 3 9.97276 3
9.96996 3 9.97280 3
9.97001 4 9.97285 4
9.97289
9.97294
H22MM
9.97201 5
9.97206 5 20 20
9.97210 1 19
9.97215 1
9.97220 2
9.97224 2
21 24
16
18
12
17
8
16
4
ст
12 48
11 44
5 10 40
9 36
8 32
28
6 24
5
20
4
16
3
12
4 9.97005 4
4
2
8
9.96717
Cos.
24°
Cos.
1h 36m
Cos.
23° 1h 32m 22°
5 9.97010 5
9.97015
Cos.
1
4
1h 28m 21° 1h 24m
9.97299
Cos.
20°
0 0
1h 20m
Log. Cosines.

TABLE III.
[Page 45
Log. Sines.
70° 4h 44m 71° 4h 48m 72° | 4h 52m
Time. Arc.
m.
S.
4h 40m
73°
73°
4h 56m
74° Arc. Time.
.Sine.
P. P.
0
0
9.97299
5
Sine.
9.97567 4
P. P.
4
8
12
16
20
5
FQ60 |H LO C
1
9.97303 1
9.97571 0
2
9.97308
3
9.97312
4 9.97317
24
9.97322 3 9.97589
9.97326 3
28
32
8
36
9
9.97331 4
9.97335 4
9.97340
•
40
10
9.97344
5
122mm GLO LO
9.97576 1
9.97580 1
9.97584
→
9.97593
5.
222&t
Sine. P.P.
9.97821 4
9.97825 0
9.97829 1
9.97833 1
9.97837 2
Sine.
9.98060
9.98063 0
9.98067 1
9.98071
P. P.
Sine.
P. P.
S. m.
4
9.98284
4
60 +4
A COCO ~~N
4
9.97861
4
9.97597 3 9.97849 3 9.98087 3
9.97602 3 9.97853 3 9.98090 3 9.98313 3 52
9.97606 4 9.97857
9.98317
9.97610 4
44
11
9.97349
1
9.97615 0
9.97866 0
48 12
9.97353
1
9.97619 1
9.97870 1
52 13
9.97358
56
14
9.97363
+1
15
9.97367
4
16
9.97372
8 17
9.97376
12 18
32 23
36 24
40 25
44 26
48 27
9.97381 4 9.97645 3
16 19 9.97385 5 9.97649 4
20 20 9.97390
24 21 9.97394 0
28 22 9.97399 1
9.97403 1 9.97666 1
9.97408 2 9.97670 2
9.97412 2 9.97674
9.97417 2 9.97679
9.97421 3 9.97683
2233 H
9.97623 1
9.97874
1
9.98094 4
9.98098 4
9.98102 0
9.98106 1
9.98110 1
ACCONN
9.98075 2 9.98299
9.97841 2 9.98079 2 9.98302
9.97845 2 9.98083 2 9.98306
9.98309 3 53 32
1222 +
9.98288 0 59 56
9.98291 1 58 52
9.98295
57 48
56
44
55
40
54
36
28
4 51 24
9.98320 4 50 20
9.98324
9.98327
9.98331
0 49 16
1 48 12
1 47
8
9.97628
9.97632
9.97636
4 9.97640 3
ACO CONN N
2
9.97878
2
9.97882
2
9.97886
9.97890
9.97894
9.97898
4 9.97653 4 9.97902
22234H
9.98113
9.98117
9.98121
9.98125
9.98129
9.98132 4
9.98136 4
2223+
9.98334 2 46
4
9.98338 2 45
+3
9.98342 2 44
56
9.98345 3 43 52
9.98349 3 42. 48
9.98352 4
9.98356 4
41 44
40 40
9.97657 0
9.97906 0
9.97662 1
9.97910 1
9.97914 1
9.97918 2
52 28
56 29
+2
30
4 31
8
32
12
33
16
34
9.97453 2 9.97713
9.97426 3 9.97687 3 9.97934
9.97430 4 9.97691 4 9.97938 4
9.97435 4 9.97696
9.97942 4
9.97439 0 9.97700 0 9.97946 0
9.97444 1 9.97704 1 9.97950 1
9.97448 1 9.97708 1 9.97954 1
2 9.97958 2
223 MH
3
NNNM M
9.98140 0
9.98144 1
9.98147 1
9.98151
9.98359 0 39 36
9.98363 1 38 32
9.98366 1 37 28

9.97922 2 9.98155
9.97926 2 9.98159
9.97930 3 9.98162
9.98166
9.98170
4
9.98174
2223344
9.98370
9.98373
9.98377
9.98381
9.98384 3 32
'9.98388
222mm
36 24
35
20
34
16
3 33
12
8
31
4
9.98391 3
30
+2
20
35
9.97457 2 9.97717
24 36
9.97461 2 9.97721
28 37
32 38
36 39
40 40
44 41
48 42
52
43
56 44
+3
45
9.97466 3 9.97725 3 9.97970 3
9.97470 3 9.97729 3 9.97974 3
9.97475 4
9.97479 4
9.97484 0
9.97488 1
9.97492 1
9.97497 2
9.97501 2 9.97759
~ ~ NM M
2
4
46
8 47
12 48
16 49
20 50
2223 C++
24 51
28 52
32 53
36 54
40
44 56
9.97550 2 9.97804
222
48
57
52 58
56 59
2 9.98266 2
9.98044 2 9.98270
9.97554 3 9.97808 3 9.98048
9.97558 3 9.97812 3 9.98052 3
9.97563 4 9.97817 4 9.98056
9.98036
9.98040
9.97734 4 9.97978 4. 9.98207 4 9.98422 3
9.97738 4 9.97982 4 9.98211 4 9.98426
20 20
9.97742 0 9.97986 0 9.98215
9.98429 0 19 16
9.97746 1 9.97989 1 9.98218 1 9.98433 1 18 12
9.97750 1 9.97993 1 9.98222 1 9.98436 1 17 8
9.97754
9.97997 2 9.98226 2 9.98440 1 16 4
9.98001 2 9.98229 2 9.98443
9.97506 2 9.97763
9.98005 2 9.98233 2 9.98447
9.97510 3 9.97767
9.98009 3 9.98237 3 9.98450
9.97515 3 9.97771 3 9.98013 3 9.98240 3 9.98453
9.97519 4 9.97775 4 9.98017 4 9.98244 4 9.98457
9.97523 4 9.97779 4 9.98021 4
9.97528 0 9.97784 0 9.98025 0
9.97532 1 9.97788 1 9.98029 1
9.97536 1 9.97792 1 9.98032 1
9.97541 2 9.97796
55 9.97545 2 9.97800
AWWNN
9.98177 0
9.98181 1 9.98398
9.98185 1 9.98402
9.98189 2 9.98405
9.97962 2 9.98192 2 9.98409
9.98395 0
29 56
1
28 52
1
27 48
2 9.97966 2 9.98196 2 9.98412
9.98200 3 9.98415 2
9.98204 3 9.98419
NNNO
122 NN? 03
26
44
25
40
24
36
23 32
2
22
28
21
24
222 ~ M
15
+1
14
56
13
52
2 12
48
3 11 44
9.98248 4 9.98460 3 10 40
9.98251 0 9.98464 0
9.98255 1 9.98467 1
9.98259 1 9.98471 1
9
36
8
32
28
A ∞ ∞ N N N
3 9.98273 3
4
9.98277
9.98281
A COW] ~~~
9.98262 2 9.98474 1
6 24
9.98477
2 9.98481
9.98484
4
+4
60
9.97567
Cos.
9.97821
Cos.
9.98060
9.98284
3 9.98488
9.98491
9.98494
22223
5
20
4
16
3
12
2
S
1
4
Ο
()
19°
1h 16m
Cos.
18° 1h 12m 17°
1h Sm
Cos.
16°
Cos.
jh 4m
15°
1h Om
Log. Cosines.

Page 46]
TABLE III.
Log. Sines.
Time. Arc.
5h Om
75°
5h 4m
76°
5h sm
m. s.
Sine.
P.P.
Sine. P.P.
Sine.
myry o
P.P.
0
9.98494
3
9.98690 3
9.98872 3
4
1
9.98498 0
9.98694 0
9.98875 0
8
9
12
16
20
24
8268 LA G
9.98501
1
9.98697 1
9.98878 1
Sine.
9.99040
9.99043 0
9.99046 1
5h 12m 8°
P. P.
5h 16m
79°
Arc. Time.
3
Sine.
9.99195 2
P.P.
S. m.
60
+4
9.99197 0
59
56
9.99200 0
58 52
3 9.98505 1
9.98700 1
9.98881 1
9.99048 1
9.99202 1
57 48
4
9.98508 1
9.98703 1
9.98884 1
9.99051 1
9.99204 1
56 44
5
9.98511
9.98515
28
9.98518
32
8
9.98521
36
!
9.98525
40
10
9.98528
222233
9.98706
2
9.98709
2
9.98712
44
11
9.98531
0
48
12
9.98535 1
52 13
9.98538
9.98722
9.98725 0
9.98728 1
9.98731 1
EO CON N N N
9.98887 2
9.98890 2
9.99056
9.98893 2
9.98715 2 9.98896 2 9.99062
9.98719 3 9.98898 3 9.99064
3
9.98901 3
9.99067
222 N M 60
9.99054 2 9.99207 1
55 40
9.99209 1
54 36
9.99059 2 9.99212 1
53
32
2 9.99214
3 9.99217
3 9.99219
222
52
28
51
24
50
20.
9.98904 0
9.99070 0
9.99221 0 49
16
9.98907 1
9.99072 1
9.99224 0
48
12
9.98910 1
9.99075 1
9.99226 1
47
8
56 14
9.98541
+1
15
9.98545
4 16
9.98548
8 17
9.98551
12
18 9.98555
16
19 9.98558
20 20
9.98561
-222 N 00 00
9.98734 1
9.98913 1
9.99078 1
9.99229 1
46
4
9.98737 2
9.98916
9.98740 2
9.98919
9.98743 2
9.98921
2
9.98746 2
9.98924
3
9.98750 3
9.98927
22223
9.99080 2
9.99231 1
45
+3
9.99083 2
9.99233 1
44
56
9.99086
3
9.98753 3
9.98930 3
9.99088
9.99091
9.99093 3
223
9.99236
9.99238
9.99241
9.99243
12262
43 52
42 48
41
44
40
40
24 21 9.98565 0
9.98756 0
9.98933 0
9.99096 0
9.99245 0
39
36
28 22
9.98568 1
9.98759 1
9.98936 1
9.99099 1
9.99248 0 38 32
32
23
9.98571 1
9.98762 1
9.98938 1
9.99101 1
9.99250 1
37 28

36 24
9.98574 1
40
25 9.98578
44
26 9.98581
48 27 9.98584
52 28 9.98588
56 29 9.98591
+2
30 9.98594
H222 N M 100
9.98765
9.98768
9.98771
9.98774
2 9.98777
3 €9.98780 3 9.98955 3
3 9.98783
122~~~ 166
9.98941
9.98944 2
9.98947 2
9.98950
9.98953 2
4
31
8
32
12 33
16 34
20
35
24
36
9.98614 2 9.98801
28 37 9.98617 2 9.98804
32 38
36 39
40
40
4 f
41
48
42
9.98620 2 9.98807
9.98623 3 9.98810 3
9.98627 3 9.98813 3
9.98630 0 9.98816 0
9.98633 1 9.98819 1
122∞ ∞ ∞
9.99119
9.98597 0 9.98786 0 9.98961 0 9.99122 0
9.98601 1 9.98789 1 9.98964 1 9.99124
9.98604 1 9.98792 1 9.98967 1 9.99127 1
9.98607 1 9.98795
9.98909 1 9.99130 1
9.98610 2 9.98798
9.98972 2 9.99132
3 9.98958
W! WON NUNT
9.99104 1
9.99252 1
36
24
9.99106
9.99109 2
2
9.99112 2
9.99114
9.99117
3
2 N N N ∞ ∞
9.99255 1
35
20
9.99257 1
34
16
9.99260 1
33
12
2
9.99262
3
9.99264
3
9.99267
222
32
8
31
4
30
+2
9.99269 0 29 56
9.99271 0
9.99274 1
28 52
27 48
9.99276 1
26
44
9.98975
9.98978
222 M
9.99135
9.99137
52 43
9.98636
1 9.98822 1
56 44
9.98640
+3
45
9.98643
4
46 9.98646
8 47
9.98649
12 48 9.98652
9.98656
122223
9.98825
9.98828
9.98831
9.93834
9.99000
9.99002
9.99005
9.98837 2 9.99008
9.98840 3 9.99011
9.98843
H22IN N∞ las
40
55 9.98675
44
+4
56 9.98678
48 57 9.98681
52 58 9.98684
56 59 9.98687
60
9.98690
Cos.
1222 2 3
9.98861
9.98864
9.98867
9.98869
9.98872
Cos.
122223
16 49
20 50 9.98659 3
3 9.99013 3 9.99170
24 51 9.98662 0 9.98846 0 9.99016 0 9.99172 0
52
28
9.98665 1 9.98849 1 9.99019 1 9.99175 0
32 53 9.98668 1 9.98852 1 9.99022 1 9.99177 1
36 54 9.98671
9.98855
9.99024 1 9.99180 1
9.98858
9.99027 2 9.99182 1 9.99324 1
9.99030 2
2 2 2 2 3
2
2 9.98980
9.99140 2 9.99285
9.98983 3 9.99142 3 9.99288
9.98986 3 9.99145 3 9.99290
9.98989 0 9.99147 0
9.98991 1 9.99150 1 9.99294 0
9.98994 1 $9.99152 1 9.99297 1
9.98997 1 9.99155 1 9.99299 1
9.99157
WWN N N N
2
9.99278 1
25 40
2
9.99281 1
24 36
2
9.99283 1
H222
23 32
22
28
21
24
20
20
9.99292 0
19
16
18 12
17 8
9.99160
9.99162
9.99165
9.99167
H2222322
16
4
9.99301 1
15
+1
9.99304
1
14
56
9.99306 1
13
52
9.99308 2
12 48
9.99310 2
11
44
9.99313
2
10
40
9.99315 0
9
36
9.99317 0
8
32
9.99319 1
my
28
9.99322 1
6 24
5 20
9.99185 1 9.99326 1
4 16
9.99032
9.99035
9.99038
9.99040
Cos.
223
9.99187 1 9.99328
9.99190 2
9.99331
3 9.99192 2 9.99333
9.99195
9.99335
Cos.
Cos.
122
3
12
2 8
1
4
0
0
14°
Oh 56m
13°
Oh 52m 12° Oh 48m 11°
Oh 44m 10°
Oh 40m
Log. Cosines.

TABLE III.
[Page 47
Log. Sines.
Time. Arc.
5h 20m
80°
5h 24m
81°
5h 28m
82°
5h 32m
83°
5h 36m
84°
Arc. Time.
m. s.
Sine.
P.P.
0
0
9.99335
2
Sine.
9.99462 2
P. P.
Sine.
P. P.
Sine.
P. P.
9.99575 2
→
9.99675 2
Sine.
9.99761
P. P.
S. m.
1
60
+4
4
且
​9.99337 0
9.99464 0
8
2
9.99340 Ο
9.99466 0
12
3
9.99342
1
9.99468 1
16
4
9.99344 1
20
5
9.99346
1
9.99470 1
9.99472 1
24
6
9.99348 1
9.99474 1
28
ray
9.99351
32
8
9.99353
36
9.99355
40
10
9.99357
122&
9.99476 1
9.99478 2
44
11
9.99359 0
48
12
9.99362
52
13
56
14
+1
15
69 DA
9.99364 1
9.99480
9.99482 2
9.99484
9.99486 0
9.99488 1
NNNH
9.99577 0
9.99579 0
9.99581 1
9.99582 1
| 9.99584 1
9.99586
9.99588 1
9.99589 2
9.99677 0
9.99678 0
9.99680
9.99681 1
9.99683 1
9.99763
0
59 56
9.99764 0
58 52
9.99765 0
57 48
9.99767 0
56
44
9.99768
55 40
9.99684 1
9.99769 1
54 36
9.99686 1
9.99771 1
53 32
9.99687 2
9.99772 1
52 28
2
9.99591 2
9.99689 2
9.99773 1
51
24
9.99593 2
9.99690 1
9.99775 1
50
20
0 9.99595 0
9.99596 0
9.99598 1
9.99692 0
9.99776 0
49
16
9.99693
9.99695
9.99777 0
48
12
9.99778 0 47
8
4
16
9.99366 1
9.99368 1
9.99370 1
9.99490 I
9.99492 1
9.99494 1
9.99600 1
9.99696 0
9.99780 0
46
4
9.99601 1
9.99698 1
9.99781 1
45
+3
9.99603
1
9.99699 1
9.99782 1
44
56
8
17
9.99372 1
9.99495 1
9.99605 1
9.99701 1
9.99783 1
43 52
12 18
9.99375 2
9.99497
16 19
9.99377
32 23
20 20 9.99379
24 21 9.99381 0
28 22 9.99383 0
9.99385 1
22
9.99499
૭૦૦
9.99607
9.99608
22
9.99702 1
9.99785 1
42
48
9.99704 1
9.99786 1
41
44
9.99501 2 9.99610 2
9.99503 0 9.99612 0
9.99505 0
9.99705 1
9.99787 1
40
40
9.99707 0
9.99788 0
39 36
9.99613 0
9.99708 0
9.99790 0
38
32
9.99507 1
9.99615 1
9.99710 0
9.99791 0

37
28
36 24
9.99388 1
9.99509 1
9.99617 1
9.99711 0
9.99792 0
36
24
40 25
9.99390
9.99511 1
9.99618 1
9.99713 1
9.99793 1
35
20
44 26
9.99392 1
9.99513 1
9.99620 1
9.99714 1
9.99795 1
34
16
48 27
9.99394 1
9.99515 1
9.99622 1
9.99716 1
9.99796 1
33
12
52
28
9.99396 2
9.99517 2
9.99624 2
9.99717 1
9.99797 1
32
8
56
29
9.99398 2
9.99518 2
9.99625 2
9.99718 1
9.99798 1
31
4
+2
30
9.99400 2
9.99520
9.99627 2
9.99720 1
9.99800 1
30
+2
4
31
9.99402 0
9.99522 0
9.99629 0
9.99721 0
9.99801 0
29
56
8
32
9.99404 0
9.99524 0
9.99630 0
12
33
9.99407
1
9.99526 1
9.99632 1
16 34
9.99409 1
9.99528 1
9.99633 1
20
35
9.99411 1
9.99530 1
9.99635 1
9.99723 0
9.99724
9.99726 0
9.99727 1
9.99802 0
28
52
9.99803 0
27 48
9.99804 0
26 44
9.99806 1
25 40
24 36
9.99413 1
9.99532 1
9.99637 1
9.99728 1
9.99807 1
24 36
28 37
32 38
36 39
40 40
44 41
48 42
52 43
56 44
+3
4
16 49 9.99440
20 50 9.99442
28 52
32 53
36 54
40 55
24 51 9.99444 0 9.99559
9.99446 0 9.99561 0
9.99448 1 9.99563 1
9.99450 1 9.99565 1
9.99452 1 9.99566 1
HH~22OO
9.99415 1
9.99417 2
9.99419 2 9.99537
9.99421 2 9.99539
9.99423 0
9.99425 0
9.99427 1
9.99429 1 9.99546 1
45 9.99432 1 9.99548 1 9.99651 1
46
9.99434 1 9.99550 1 9.99653 1
8 47 9.99436 1 9.99552
12 48 $9.99438
9.99554
9.99533 1 9.99638 1
9.99730 1
9.99808 1
23 82
9.99535
222
9.99640 2
9.99731 1
9.99642
9.99643
22
9.99541 0 9.99645 0
9.99543 0 9.99647 0
9.99545 1 9.99648 1
9.99650 1
9.99733
9.99734 1
9.99736 0
1
9.99809 1
9.99810 1
22 28
21
24
9.99812 1
20 20
9.99813 0
19
16
9.99737 0
9.99814
18
12
9.99738 0
9.99815
17
8
9.99740 0
9.99816 0
16
4
9.99741 1
9.99817 1
15 +1
9.99742 1
9.99819 1
14 56
1 9.99655 1 9.99744 1
9.99820 1
13 52
9.99556
9.99557
2212
9.99656
9.99658
9.99659
222
9.99745 1
9.99821 1
12 48
9.99747 1
9.99822 1
11
44
9.99748 1
9.99823 1
10
40
0 9.99661 0 9.99749 0
9.99663 0
9.99664 1
9.99666 1
9.99824 0
9
36
44 56 9.99454 1 9.99568 1
48 57 9.99456
+4
52 58 9.99458
56 59
9.99460
60 9.99462
Cos.
122
22
9°
Oh 36m | 8°
9.99667 1
9.99669 1
9.99570 1 9.99670 1
9.99572
9.99574
9.99575
Cos.
Oh 32m yo
9.99672 2
9.99674 2
9.99675
Cos.
9.99751 0
9.99752 0
9.99753 0
9.99755
9.99756 1
9.99757 1
9.99759 1
9.99760 1
9.99825
0
8
32
9.99827
9.99828
9.99829 1
9.99830 1
9.99831 1
7
28
6 24
5 20
4 16
3 12
9.99832 1
2
8
9.99833 1
1
4
9.99761
Cos.
9.99834
0
0
Cos.
Oh 28m 6°
Oh 24m 5°
Oh 20m
Log. Cosines.

Page 48]
TABLE III.
Log. Sines.
Time. Arc.
Arc.
5h 40m
85°
5h 44m
86°
5h 48m
87°
5h 52m
88°
5h 56m
89°
Arc. Time.
m. s.
Sine.
P. P.
Sine.
P. P.
Sine.
Sine.
Sine.
s. m.
0
0
4
1
8
2
12
16
20
24
28
OFQCO E LO 67
9.99834
1
9.99894 1
9.99940
9.99974
9.99993
60
+4
9.99836
0
9.99895
9.99941
9.99974
9.99994
59 56
9.99837 0
9.99896
9.99942
9.99974
9.99994
58
52
3
9.99838 0
9.99897 0 9.99942
9.99975
9.99994
57
48
4
9.99839
0
9.99898 0 9.99943
9.99975
9.99994
56 44
5
9.99840 1
9.99898 1 9.99944
9.99976
9.99994
55 40
9.99841 1
9.99899 1 9.99944
9.99976
9.99995
54
36
9.99842 1
9.99900 1 9.99945
9.99977
9.99995
53 32
32
8
9.99843 1
9.99901 1 9.99946
9.99977
9.99995
52 28
36
9
9.99844 1
9.99902 1 9.99946
9.99977
9.99995
51 24
40 10
9.99845 1
9.99903 1 9.99947
9.99978
9.99995
50 20
44 11
9.99846 0
9.99904 0 9.99948
9.99978
9.99996
49 16
48 12
9.99847 0
9.99904 0 9.99948
9.99979
9.99996
48 12
+1
52 13
56 14
15
4 16
9.99848 0
9.99905 0 9.99949
9.99979
9.99996
47 8
9.99850 0
9.99906 0 9.99949
9.99979
9.99996
46
4
8
17
9.99851 1
9.99852 1
9.99853 1
9.99907 1 9.99950
9.99980
9.99996
45
+3
9.99908 1
9.99951
9.99980
9.99996
44
56
9.99909 1 9.99951
9.99981
9.99997
43 52
12
18
9.99854 1
9.99909 1 9.99952
9.99981
9.99997
42 48
16 19
9.99855 1
9.99910 1 9.99952
9.99981
9.99997
41 44
20 20
24 21
9.99856 1
9.99911 1 9.99953
9.99982
9.99997
40 40
9.99857 0
9.99912 0 9.99954
9.99982
9.99997
39 36
28 22
9.99858 0
9.99913 0 9.99954
9.99982
9.99997
38 32
32 23
9.99859 0
9.99913 0
9.99955
9.99983
9.99997
37 28

36
24
9.99860 0
9.99914 0
9.99955
9.99983
9.99998
36
24
40
25
9.99861 1
9.99915 1 9.99956
9.99983
9.99998
35 20
44
26
9.99862 1
9.99916 1 9.99956
9.99984
9.99998
34 16
48 27
9.99863 1
9.99917 1 9.99957
9.99984
9.99998
33 12
52 28
9.99864 1
9.99917 1 9.99958
9.99984
9.99998
32 8
56 29
9.99865 1
9.99918 1 9.99958
9.99985
9.99998
31
4
+2
30
9.99866 1
9.99919 1 9.99959
9.99985
9.99998
30
+2
4
31
9.99867 0
9.99920 0 9.99959
9.99985
9.99998
29
56
8 32
9.99868 0
9.99920 0
9.99960
9.99986
9.99999
28
52
12 33
9.99869 0
9.99921 0 9.99960
9.99986
9.99999
27 48
16 34
9.99870 0
9.99922 0 9.99961
9.99986
9.99999
26 44
20 35
9.99871 1
9.99923 1 9.99961
9.99987
9.99999
25 40
24 36
9.99872 1
9.99923 1 9.99962
9.99987
9.99999
24 36
28 37
9.99873 1
9.99924 1 9.99962
9.99987
9.99999
23
32
32 38
9.99874 1
9.99925 1 9.99963
9.99988
9.99999
22 28
36 39
9.99875 1
9.99926 1 9.99963
9.99988
9.99999
21
24
40
40
9.99876 1
9.99926 1 9.99964
9.99988
9.99999
20 20
44
41
9.99877
0
9.99927 0 9.99964
9.99989
9.99999
19
16
48
42
9.99878 0
9.99928 0 9.99965
9.99989
9.99999
18
12
52 43
9.99879 0
9.99929 0
9.99966
9.99989
9.99999
17 8
56
44
9.99879 0
9.99929 0 9.99966
9.99989
0.00000
16
4
+3
45
4
46
9.99881
9.99880 1
1
9.99930 1
9.99931 1 9.99967
9.99967
9.99990
0.00000
15
+1
9.99990
0.00000
14
56
8
47
9.99882 1
9.99932
9.99967
9.99990
0.00000
13
52
12
48
9.99883 1
9.99932 1 9.99968
9.99990
0.00000
12 48
16
49
9.99884 1
9.99933 1 9.99968
9.99991
0.00000
11 44
20 50 9.99885 1
9.99934 1
9.99969
9.99991
0.00000
10
40
24
9.99886
51
0
9.99934 0
9.99969
9.99991
0.00000
9 36
28 52
9.99887
9.99935 0 9.99970
9.99992
0.00000
8
82
32
53
9.99888
9.99936
9.99970
9.99992
0.00000
7
28
زاد
54
9.99889
9.99936
0 9.99971
9.99992
0.00000
6
24
40
55
9.99890
1
9.99937
1 9.99971
9.99992
0.00000
44
56
9.99891
1
9.99938 1 9.99972
9.99992
0.00000
48
57
9.99891
1
9.99938 1
9.99972
9.99993
0.00000
52
58
56
59
9.99893
9.99892 1
1
9.99939 1
9.99973
9.99993
0.00000
9.99940
1 9.99973
9.99993
60
9.99894 1
9.99940
Cos.
4°
Oh 16m
Cos.
3°
9.99974
Cos
9.99993
Cos.
0.00000
0.00000
Cos.
LO TH 160 Q2 T
5 20
4
16
3
12
1
4
OA∞do
8
(j) h 1 m
2°
Oh sm
1°
Oh I'm
0°
Oh Om
Log. Cosines.
TABLE IV
NATURAL HAVERSINES
AND
LOGARITHMIC HAVERSINES
63355°—17————4
49
Table IV
Log. Hav.
and
Nat. Hav
I


Page 50]
TABLE IV.
Haversines.
.00000
.00000
.30811
6
2.67757
8+ 22.92745
10
3.12127
12+ 33.27963
8
0 0
2
Oh Om 0° 0'
Oh 2m 0° 30′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
-00
1.72333
4+ 12.32539
Oh 4m 1° 0'
Oh 6m 1° 30'
Oh 8m 2° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
.00000
.32201
.00008
.00008
.00008
པ་
0.00000 | 5.27963 | 0.00002 5.88168 0.00008 | 6.23385 | 0.00017 || 6.48371 0.00030 | 60
.29399 .00002 .88889
.23866 .00017 .48732 .00031 58
.00002 .89604
.24345 .00018 .49092 .00031 56
.00002 .90313
.24821 .00018 .49450 .00031 54
14
3.41353
.00000
.00000
.00000
.34916
.36242
.37548
0.00000 | 5.33569 0.00002 5.91016 0.00008 6.25294 0.00018 6.49807 0.00031 52
.00002
.91714
.00002
.92406
.00002
.93093
.00003
.94450
.00003
.95121
.00003
.95786
16+ 43.52951 | 0.00000 | 5.38835 | 0.000025.93774 | 0.000096.27162 | 0.00019 6.51219 | 0.00033 44
18
3.63182
20+ 5 13.72333
22
3.80612
.00000
.00000
.00000
.40103
.41352
.42585
.00019 .52263 .00033 88
24+ 63.88169 | 0.00000 | 5.43799 | 0.00003 5.96447 | 0.00009 | 6.28991 | 0.00019 | 6.52608 | 0.00034 | 36
26
.00008
.00008
.00009
.00009
.00009
.00009
.00019
.51568 .00033 42
.00019
.51916
.0003340
.25765 .00018 .50162 .00032 50
.26233 .00018 .50516 .00032 48
.26699 .00018 .50868 .00032 46
I
.27623
.28081
.28537
3.95122
284.01559
.00000
.00000
.44997 .00003
.97102
.46179
.97753
.00000
.98399
36+9
38
.00003 .02176
.40818
.00000 .55095
.00004
.00034 34
.00003
.00034 32
80
4.07551
.47345 .00003
.00010 .30337 .00020 .53636 .00034 | 30
32+ 8 4.13157 0.00000 5.48496 0.00003 5.99040 0.00010 6.30781 0.00020 6.53976 0.00035 28
|
| | | ||
34
.18423 .00000 .49631 .00003 5.99676 .00010 .31223 .00021 .54315 .00035 26
.23388 .00000 .50752 .000036.00308 .00010 .31663 .00021 .54652 .00035 24
.28084.00000 .51858 .00003 .00935 .00010 .32101 .00021 .54988 .00035
40+10 4.32539 0.00000|| 5.52951 | 0.000036.01557 0.00010 6.32536 | 0.00021 [6.55323 | 0.00036
|
42
.36777 .00000 .54030
44+11
.00009
29442 .00020
.52952
.00010
.29891 .00020
.53295
22
20
.44679
.00000
50
46
48+12 4.48375 0.00000 5.57189 0.00004 6.04004 0.00011
.51921 .00000 .58216 .00004 .04605 .00011
52+13 .55328 .00000 .59232 .00004 .05202 .00011
54
.58606 .00000 .60236 .00004 .05795 .00011
56+14 4.61765 0.00000 5.61229 0.00004 6.06384 0.00012
58 4.64813 0.00000 5.62211 0.00004 6.06969 0.00012
| |
.56148
.00004
.00011
.02789 .00011
.03399 .00011
.32969
.33400
.33829 .00022
.00021 .55656
.00022
.55988
.56319
.00036 18
.00036
0036|| 16
00037 14

8
23h 59m
Oh 1m 0° 0'
0+154.67757 0.00000
23h 57m
23h 55m
23h 53m
6.34256 0.00022
.34681 .00022
.35103 .00022 .57304
.35524 .00023 .57630 .00038 6
6.35943 | 0.00023 | 6.57955 0.00038
6.36359 0.00023 | 6.58278 0.00038
|
23h 51m
6.56649
0.00037
0.00037 | 12
.56977
.00037 10
}
.00037 8
4
2
2
Oh sm 0° 30'
5.63181 0.00004
.64141 .00004
6
Oh 5m 1° 0'
Oh 7m 1° 30′
Oh 9m 2° 0
6.07550 0.00012 6.36774 0.00023 6.58600 0.00039
|
| |
.70605 .00000
.08127 .00012 .37186 .00024 .58921 .00039
4+16 .73363 .00001 .65090 .00004 .08700 .00012 .37597 .00024
.76036 .00001 .66029 .00005 .09270 .00012 .38006 .00024
8+17 4.78629 0.00001 5.66958 0.00005 6.09836 0.00013 6.38412 0.00024 6.59878
S
60
58
.59241
.00039 56
.59560
.00039 54
0.00040 52
10
.81147 .00001
12+18
14
18
20+20
22
.67877 .00005 .10398 .00013
.83594 .00001 .68787 .00005 .10956 .00013 .39220 .00025
.85973 .00001 .69687 .00005 .11511 .00013 .39622 .00025
16+194.88290 0.00001 5.70578 0.00005 6.12063 0.00013 6.40021 0.00025
| | |
.90546 .00001 .71460 .00005 .12611 .00013 .40418 .00025
.92745 .00001 .72332 .00005 .13155 .00014 .40814 .00026
.94890 .00001 .73197 .00005 .13696 .00014 .41208 .00026 .62068 .00042 38
.61448 .00041 42
.61759 .00041 40
.38817 .00024
.60194
.00040 50
.60509
.60823
.00040 48
.00041 46
|
6.61136 0.00041 | 44
4.99027 .00001
24+21 4.96983 0.00001 5.74052 0.00006
26
6.14234 0.00014 6.41600 0.00026 6.62377 0.00042 36
.74900
.00006
.14769
.00014 .41990
.00026
.62684
.00042 34
28+22
5.01024
.00001
.75739
.00006
.15300
.00014
.42379
.00027
.62991
.00043 82
80
.00001
.02976
32+23 5.04885 0.00001 5.77394 0.00006 6.16353 0.00015
|
| | |
.76570
.00006
.15828
.00014
.42766
.00027
.63296 .00043 30
6.43151
34
.06753
36+24
.00001
.08581 .00001 .79017 .00006 .17393
.10372 .00001
88
.79818 .00006 .17908
40+25 5.12127 0.00001 5.80611 0.00006
|
.78209 .00006 .16874
.00015
.43534
.00027
.00015
.43916
.00027
0.00027 6.63600 0.00043 28
| | |
.63903 .00044 26
.64205
.00044 24
.00015 .44296
.00028
.64504 .00044 22
6.18421
0.00015 6.44675 0.00028 6.64806 0.00044 20
| | | |
42
.13847 .00001
.81397
.00007
.18930
.00015
44+26
.15534
.00001
.82176
.00007
.19437
.00016
46
.17188 .00001
.82948
.00007
.19940
|
50
.00002
.20406
.84472
.00007
52+28
54
.85224
.85969
.00007
.09016
.21433 .00016
.00007 .21925 .00017
.20938
56+29
58
.65700 .00045 14
48+27 5.18812 0.000025.83713 0.000076.20441 0.00016 6.46172 0.00029 6.65996 0.00046 12
| | | |
.46543 .00029 .66291 .00046 10
.66585 .00046 8
.66878
.21971 .00002
.23508 .00002
.00030
|
5.25019 0.00002 5.86709 0.000076.22415 0.000176.47644 0.00030 6.67170 0.00047
.87442
.26503 .00002
.00008 .22901 .00017 .48008 .00030 .67461 .00047
60+305.27963 0.00002 5.88168 0.00008 6.23385 0.00017 6.48371 0.00030 6.67751 0.00048
| 0.000025.88168 |
| || |
.00016
.45052 .00028
.45427
.45800 .00029
.00028
.65403
.65105 .00045 18
.00045 16
.46911 .00029
.47279
|
.00047 6
4
2
0
23h 58m
23h 50m
23h 56m
23h 52m
23h 54m

TABLE IV.
[Page 51
Haversines.
Oh 10m 2° 30'
Oh 12m 3° 0'
S
Log. IIav. Nat. IIav. Log. Hav. Nat. Hav.
0
06.67751 0.000486.83584 | 0.00069 6.96970 0.00093
2
.68040 .00048
.83825 .00069
.84065 .00069
.84304 .00070
4+ 1 .68328 .00048
6
.68615 .00049
Oh 18m 4° 30′
Log. Hav. Nat. lav
το
Oh 14m 3° 30′ Oh 16m 4° 0'
Log. IIav. Nat. IIav. Log. Hav. Nat. Hav.
7.08564 0.00122 7.18790 | 0.00154 | 60
.97176 .00094 .08745 .00122 .18950 .0015558
.97382 .00094 .08925 .00123 .19111 .00155 56
.97588 .00095 .09105 .00123 .19271 .00156 54
7.09284 | 0.001247.19430 0.00156 | 52
.09464 .00124 .19590 .00157 50
.09642 .00125 .19749 .0015848
.09821 .00125 .19908 .00158 46
7.09999 0.00126 7.20066 0.00159 44
8+ 26.68901 0.00049 | 6.84543 0.00070 6.97793 0.00095
.84782 .00070 .97997 .00095
.85019 .00071 .98201 .00096
.85256 .00071 .98405 .00096
10
.69186
12- 3
.69470
14
.69754
18
.70318
20+ 5
.70598
22
.70878
.00049
.00050
.00050
16+ 46.70036 | 0.00050 | 6.85492 | 0.00072 6.98608 0.00097
.00050
.00051
.00051
.85728
.85963
.86197
.00072
.98811
.00072 .99013
.00073
.99214
.00097
.00098 .10354
.00098 .10531
.10177
.00126
.20225
.00159 42
.00127
.20383
.0016040
.00127
.20540
.00160 38
28+ 명
​.71435
.71712
.00052
.00052
24+ 66.71157 0.00051 6.86431 0.00073 6.99416 0.00099 7.10708
| | | | | |
26
0.001287.20698 0.00161 36
|
.86664 .00074 6.99616
66000°
.10884
.00128
.20855 .00162 34
.86897
80
.000746.99817
.00074 7.00017
34.
36+ 9
38
.71988 .00052 .87129
.72537 .00053 .87591
.00075 .00415
.72811 .00053 .87821 .00076
.73084 .00054 .88050 .00076
40+10 6.73355 0.00054 6.88279 0.00076
42
.73626 .00054 .88507 .00077
44+11 .73896 .00055 .88735 .00077
46
.74166 .00055 .88962 .00078
48+12 6.74434 0.00056 6.89188 0.00078 7.01795 0.00104 7.12800 0.00134 7.22565 0.00168
50
.74702 .00056 .89414 .00078 .01990 .00105 .12972 .00135 .22718 .00169 10
52+13 .74969 .00056 .89639 .00079 .02185 .00105 .13144 .00135 .22872 .00169 8
54
.75235 .00057 .89864 .00079 .02379 .00106 .13315 .00136 .23025 .00170 6
56-14 6.75500 0.00057 6.90088 0.00080 7.02573 0.00106 7.13486 0.00136 7.23178 0.00171
58
6.75764 0.00057 6.90312 0.00080 7.02767 0.001077.13657 0.001377.23331 0.00171
|| | |
| |
4
29
.00100
.00100
.11060
.00129
.21012
.00162 32
.11236 .00130
.21168
.00163 30
32+ 86.72263 | 0.00053 | 6.87360 | 0.000757.00216 0.00101 7.11411 0.001307.21325 0.00163 | 28
.00101 .11586 .00131 .21481 .00164 26
.00613 .00101 .11760 .00131 .21636 .00165 24
.00811 .00102 .11934 .00132 .21792 .00165 22
7.01009 | 0.001027.12108 0.001327.21947 0.00166 20
.01206 .00103 .12282 .00133 .22102 .00166 18
.01403 .00103 .12455 .00133 .22256 .00167 16
.01599 .00104 .12627 .00134 .22411 .00168 14
12
23h 49m
8
2
23h 47m
Oh 11m 2° 30' Oh 13m 3° 0'
0+15 6.76028 0.00058 6.90535 0.00080
.76290 .00058 .90757 .00081
4+16 .76552 .00058 .90979 .00081
6
10
23h 45m
23h 43m
Oh 17m 4° 0
23h 41m
Oh 19m 4° 30'
S
Oh 15m 3° 30'
7.02960 0.00107 7.13827 0.001377.23483 0.00172 60
.03153 .00108 .13997 .00138 .23635 .00172 58
.03345 .00108 .14167 .00139 .23787 .00173 56
00108 .14337 .00139 .23939 .00174 54

.77334 .00059 .91641 .00082 .03920
.77592 .00060 .91860 .00083
.00109
.04110 .00110
.00083 .04300 .00110
.76814 .00059 .91200 .00082 .03537
8+176.77074 0.000596.91421 0.00082 7.03729 0.00109 | 7.14506 0.00140 7.24090 0.00174 52
.14674 .00140 .24241 .00175 50
.14843 .00141 .24392 .00175 48
.15011 .00141 .24543 .00176 46
0.00084 | 7.04490 0.00111 7.15179 0.00142 7.24693 0.00177 44
.00084 .04680 .00111 .15346 .00142 .24843 .00177 42
.00085 .04869 .00112 .15513 .00143 .24993 .00178 40
.00085 .05057 .00112 .15680 .00143 .25143 .00178 38
.16013
.00145 .25441
.16178 .00145 .25590
.16344 .00146 .25738
.00180 34
12+18
14
.77851 .00060 .92079
16+19 6.78108 0.00060 6.92298
18
.78364 .00061 .92516
20+20 .78620 .00061 .92733
22
.78875 .00061 .92950
24+21 6.79129 0.00062 | 6.93166 0.00085 7.05245 0.00113 7.15846 0.00144 7.25292 0.00179 36
26
.79383 .00062 .93382 .00086 .05433 .00113
28+22 .79630 .00063 .93597 .00086 .05620 .00114
80
.79888 .00063 .93812 .00087 .05807 .00114
32+23 6.80139 0.00063 6.94026 0.000877.05994 0.00115 7.16509 0.00146 7.25886 0.00181
| | || 28
.80390 .00064 .94239 .00088
36+24 .80640 .00064 .94453 .00088
38
.80889 .00064 .94665 .00088
40+256.81137 0.00065 6.94877 0.00089
.81385 .00065 .95089 .00089
.81632 .00066 .95300 .00090
.81879 .00066 .95510 .00090
34
42
44+26
46
50
.06180
.00115
.06366
.00116
.06551
.00116
00180 || 32
.00181 30
.16674 .00147 .26034 .0018226
.16839 .00147 .26182 .00183 24
.17003 .00148 .26330 .00183 22
7.06736 | 0.00117 | 7.17167 0.00148 7.26477 0.00184 20
.17331 .00149 .26624 .00185 18
.17494 .00150 .26771 .00185 16
.17657 .00150 .26917 .00186 14
.06920
.00117
.07105
.00118
.07288 .00118
48+27 6.82124 0.00066 6.95720 0.00091 7.07472 0.00119 7.17820 0.00151 7.27064 0.00186 12
.82369 .00067 .95930 .00091 .07655 .00119 .17982 .00151 .27210 .00187 10
52+28 .82614 .00067 .96139 .00091 .07837 .00120 .18144 .00152 .27355 .00188 8
54
.82857 .00067 .96347 .00092 .08019 .00120 .18306 .00152 .27501 .00188 6
56+29 6.83100 0.00068 6.96555 0.00092 7.08201 0.00121 7.18468 0.00153 7.27646 0.00189
58
.83342 .00068 .66763 .00093 .08383 .00121 .18629 .00154 .27791 .00190
60+30 6.83584 0.00069 6.96970 0.00093 7.08564 0.00122 7.18790 0.00154 7.27936 0.00190
1
23h 48m
23h 40m
23h 46m
23h 42m
23h 44m

Page 52]
TABLE IV.
S
0
2
Oh 20m 5° 0'
Haversines.
Oh 24m 6° 0'
Oh 22m 5° 30'
Oh 26m 6º 30' Oh 28m 7° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Ilav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
07.27936 0.001907.36209 0.00230| 7.43760 0.00274 7.50706 0.00321 7.57135 0.00373 60
.28080 .00191 .36340 .00231 .43880 .00275
.50817
4+ 1
.28225 .00192
.36471 .00232
.44001 .00275
6
.28369 .00192
8+2
10
.28656
.00193
12+ 3
.28800
.00194
.44480
14
.28943 .00195
.44600
| |
18
.29228
.00196
.37384 .00237
20+ 5
.29371
.00197
.37514 .00237
22
.29513
.00197
.37643 .00238
.36602 .00232
7.28513 0.00193 7.36733 0.00233
| |
.36864 .00234
.36994 .00234
.37124 .00235
.57855 .00379 46
16-47.29086 0.00195 7.37254 0.00236 7.44719 0.00280 7.51591 0.00328 7.57957 0.00380 44
|| | | | |
.44838
.00329 .58060 .00381 42
.44957
.00330 .58162 .00382 40
.00331.58264 .00383 38
.44121 .00276
.50928
.51039
.00278
.51260
.00322 .57238 .00374 58
.00323 .57341 .00374 56
.00324 .57444 .00375 54
7.44241 0.002777.51149 | 0.00325 7.57547 0.00376 52
| | | |
.44361
.00326
.00278
.51370
.00326
.57650
.57752
.00377 50
.00378 48
.00279
.51481
.00327
..00281
.00282
.51701
.51811
.45076 .00282
.51921
24 |
7.29655 0.00198
7.37773
| |
0.00239 7.45194 0.002837.52030 0.003317.58366 0.00383 36
|
20
28+7
30
.30079
.29797 .00199
.29938 .00199
.00200
.37902
.00239
.38030
.00240
.38159
.00241
.45549 .00285
.00385 32
.00386 30
3287.30220 | 0.00201 | 7.38288 | 0.00241 7.45667 0.00286 7.52467 0.00335 7.58772 0.00387 28
| | | ||
.45313 .00284
.45431
.52140
.00332
.58467 .00384 34
.00285
.52249
.00333
.58569
.52358
.00334
.58670
34
.30361
.00201
.38416
.00242
.45785 .00287
369
.30502
.00202
.38544
.00243
38
.30642
.00203
.38672
.00244
404-107.30782 | 0.00203 | 7.38800 | 0.00244
.52576
.45903 .00288 .52685
.46020 .00289
7.46138 | 0.00289 7.52902
.00336
.58873
.00388 26
.00336
.58974
.00389 | 24
.52794
.00337
.59075
.00390 22
0.00338
7.59176 0.00391 20
42
.30922
.00204
.38927
.00245
.46255
.00290
.53011
.00339
.59277 .00392 18
44+11
.31062
.00204
.39054
.00246
.46372
.00291
.53119
.00340
..59378
.00392 16
46
.31.201.
.00205
.39182
.00247
.46489
.00292
.53227
.00341
.59478
.00393 14

48-127.31340 | 0.00206 7.39309 | 0.00247
7.46605 0.00292
7.53335 | 0.00341
7.59579 0.00394 12
50
.31479
.00206
.39435
.00248
.46722
.00293
.53443
.00342
.59679 .00395 10
52+13
.31618
.00207
.39562
54
.31757
.00208
.00249
.39688 .00249 .46955
.46838
.00294
.53550
.00343
.59779 .00396 8
58
56+14 7.31895 | 0.002087.39815 0.002507.47071
7.32033 0.00209 7.39941 0.00251 7.47187
.00295
0.00296 | 7.53766 | 0.00345
0.00296 | 7.53873 | 0.00346
.53658
.00344
.59879 .00397 6
7.59979 | 0.00398
7.60079 0.00399
4&
2
8
0+15
2
6
8+17
10
12+18
14
22
26
28+22
30
34
36+24
38
42
44+26
.35150
46
.35283
.00225
.00225
.60775
.00353 .60874 .00406 46
16+19 7.33266 | 0.00215 7.41067 0.00257 7.48223 | 0.00304 | 7.54833 0.003537.60973 0.00407 44
18
.33402 .00216 .41191 .00258 .48337 .00304 .54939 .00354 .61072 .00408 42
20+20 .33538 .00216 .41315 .00259 .48452 .00305 .55045 .00355
.33673 .00217 .41439 .00260 .48566
.55150 .00356
24+217.33809 0.00218 7.41563 0.00260 7.48680 | 0.003077.55256 0.00357 7.61367 0.00411 36
.33944 .00218 .41686 .00261 .48794
.34079 .00219 .41810 .00262 .48907
.34213 .00220 .41933 .00263 .49021
324-237.34348 0.00221 7.42056 0.00263 7.49134 0.003107.55677 0.00360 7.61760 0.00415 28
.34482 .00221 .42179 .00264 .49247 .00311 .55782 .00361 .61858
.34616 .00222 .42301 .00265 .49360 .00312 .55887 .00362 .61955
.34750. .00223 .42424 .00266 .49473 .00312 .55992 .00363 .62053
40+257.34884 | 0.002237.42516 | 0.00266
.35017 .00224 .42668 .00267 .49699 .00314
.42790 .00268 .49811 .00315
.42912 .00269 .49923 .00316
48+27 7.354160.00226 7.43034 0.00269 7.50036 0.00316 7.56513 0.00367 7.62540 0.00422 12
| | | |
23h 39m
23h 37m
23h 35m
Oh 21m 5° 0' Oh 23m 5° 30' Oh 25m 6° 0' Oh 27m 6° 30' Oh 29m "y° 0'
7.32171 0.00210 7.40067 0.00252 7.47302 0.00297 7.53980 | 0.00347 7.60179 | 0.00400 60
.32309 .00210 .40192 .00252 .47418 .00298 .54087 .00347 .60279 .00401 58
4+16 .32446 .00211 .40318 .00253 .47533 .00299 .54194 .00348 .60378 .00402 56
32583 .00212 .40443 .00254 .47649 .00300 .54301 .00349 .60478 .00403 54
7.32720 0.00212 7.40568 0.00255 7.47764 0.00300 7.54407 0.00350 7.60577 0.00403 52
.32857 .00213 .40693 .00255
.60676 .00404 50
.32994 .00214 .40818 .00256
.33130 .00214 .40943 .00257
23h 33m
23h 31m
S
.47879 .00301
.54514
.00351
.47994 .00302
.48109 .00303
.54620
.00352
.00405 48
.54727
.00306
.61170 .00409 40
.61269 .00410 38
||
.00308
.00308
.55361 .00358 .61466
.55467 .00359 .61564
.00309 .55572 .00360 .61662
.00412 34
.00413 32.
.00414 30
.00416 | 26
.00416 24
.00417 22
7.49586 0.003137.56096 | 0.00364 7.62151 0.00418 20
.56201
.56305
.56409
.00365
.62248
.00419 18
.00366
.62345
.00420 16
.00367
.62442 .00421 14
50
.35549
52+28
54
.00227 43155 .00270
.00227 .43277 .00271
.00228 .43398 .00272
56+29
58
.35681
.35813
7.35945 0.002297.43519 0.00272 7.50483 0.00320 7.56928 0.00371 7.62927 0.00426
.36077 .09229 .43639 .00273 .50594 .00321 .57032 .00372 .63023 .00427
60+307.36209 0.00230 7.43760 0.00274 7.50706 0.00321 7.57135 0.00373 7.63120 0.00428
| |
| | | |
.50148 .00317 .56617 .00368 .62636 .00423 10
.50259 .00318 .56721 .00369 .62733 .00424
.50371 .00319 .56825 .00370 .62830 .00425
∞64
8
2
23h 38m
23h 30m
23h 36m
23h 32m
23h 34m

TABLE IV.
[Page 53
Haversines.
Oh 30m y 30'
O h 32 m 8° 0'
Oh 34m 8° 30/
Oh 36m 9° @
Oh 38m 9° 30′
.68897 .00489
.68987 .00490
10
.63600
.00433
.69167
12+ 3
.63696
.00433
.69257
.00492
.00493
14
.63792
.00434
.69347
.00494
.00436
.69526
.69616
22
16+ 47.63887 0.00435 | 7.69437 | 0.00495
18
.63983
.00496 74735 .00559 .79048
20+5 .64078 .00437
.60197 .74819 .00500 .79728
.64173 .00438 .69705 .00498 .74904 .00561 .79807
S
2
6
9ANO
0
4+ 1
.63408 .00431
|
Log. IIav. Nat. Пav. Log. Hav. Nat. IIav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. Ilav. Nat. Hav. S
07.63120 0.00428 7.68717 0.004877.73974 0.00549 7.78929 0.006167.83615 0.00686 | 60
|
.63216 .00429 .68807 .00488 .74059 .00550 .79009 .C0617
.63312 .00430
.00551 .79089 .00618
.00552 .79169 .00619
.74143
.74228
.83691
.83767
.0068758
.00688 56
.83842 .00689 | 54
8+ 27.63504 | 0.00432 | 7.69077 0.004917.74313 0.00554 7.79249 0.006207.83918 | 0.00691
| | |
52
.83994 .00692 50
.84070 .0009348
.74398 .00555
.74482 .00556 .79409
.74567 .00557 .79489
.00624 .84145 .0069446
7.74651 0.005587.79568 0.006257.84221 0.00695 44
|
.79329 .00621
.00622
.00626 .84296
.00627
.00628
.00697 42
.84372 .00698 40
.84447 .00699 38
24+6
26
7.64269 0.004397.69794 0.004997.74988 0.00562 7.79886 0.00629
7.84522 0.00700 36
*28-y
.00500
.00501
.75072
30
.00563 .79966 .00630
.75155 .00564 .SC045 .00632
.75239 .00565 .80124 .00633
.84597 .00701 34
.84672 .00703 32
.84747 .00704 30
.64364 .00440 .69883
.64458 .00441 .69972
.64553 .00442 .70061 .06502
3287.64648 0.00443 7.70150 0.00503 | 7.75323 0.005677.80203 0.00634 7.84822 | 0.0070528
| |
34
.64743 .00444 .70239 .00504 .75407 .00568 .80282 .00628 .84897 .007061 26
36+9 .64837 .00445 .70328 .00505 .75490 .00560 .80361 .00636 .84972
.64932 .00446 .70416 .00506 .75574 .00570 .80140 .00637 .85017
40+107.65026 0.004477.70505 0.005077.75657 0.00871 7.80519 0.006397.85122
88
42
44+11
.65120
.65214 .00449
.00448
.70593 .00508
.70682
.00509
•
46
.65308 .00450
.70770 .00510
48--127.65402 0.00451
50
.65496 .00452
.709.16 .00512
52+13
.00513
54
.00514
.75740 .00572
.75824
.00573
.75907
.00574
.00707 | 24
.00709 22
0.00710| 20
.00711 18
.85271 .00712 16
.85346 .00714 14
.80598 .00640 .85196
.S0677 .00641
.80755 .00642
7.70858 0.005117.75990 0.005757.80834 0.006437.85420 0.60715 12
| |
|
.76073 .00576 .80912 .00644 .8549-1 .00716 10
.65590 .00453 .71034
.76156 .00578 .80991 .00646 .85569 .00717 8
.65683 .00454 .71122
.76239 .00579 .81069 .00647 .85643 .00719 6
56+14 7.65777 0.004557.71210 0.005157.76321 0.00580 7.81147 0.006487.85717 0.00720
58 7.65870 0.004567.71298 | 0.005167.76404 | 0.005817.81225 0.00649 7.85791 0.00721
|
| |
4
.66983 .00468 72343 .00529
26
.67167 .00470 .72516 .00531
28+-22
30
.67259 .00471 .72603 .00532
.67351 .00472 .72689 .00533
34
.67535 .00474
.72861 .00535 .77879 .00601
23h 29m
23h 27m
23h 25m
23h 23m
23h 21m
Oh 31m y° 30′
Oh 33m 8° 0'
Oh 35m 8° 20/
8
0+157.65964 0.00457 7.71385 0.00517 7.76487 0.00582
| | | | |
2
.66057
4+16
.66150
.00458
.00459
.71473
.00518
.76569
.00583
.81382
.71560
.00520
.76652
.00584
.81459
.00653
6
.66243
.00460
.71648
.00521
.76734
.00585
.81537
.00654
Oh 37m 3° 0' Oh 39m 9° 30'
7.81303 0.00650 7.85866 0.00722 60
| |
.G0651 .85940 .00723 58
.86014 .00725 56
.8C087 .0072654
S

10
.66429
.00462
.00463
.71822 .00523
.71909 .00524
14
.76898
.76981
.77063
22
8+17 7.66336 0.00461 7.71735 0.00522 7.76816 | 0.00586 7.81615 0.00655 7.86161 0.00727
| |
| | | | |
12+18 .66521
.66614 .00464 .71996 .00525
16+19 7.66706 0.004657.72083 0.005267.77145 0.00591 | 7.81926 0.00660 7.86456
18
.66799 .00466 .72170 .00527 .77227
20+20 .66891 .00467 .72257 .00528
.86676
24+21 7.67075 0.004697.72430 | 0.00530 | 7.77472 | 0.00595 | 7.82235 | 0.00604 | 7.86750 | 0.00737
.86823 .00738) 34
.86896
.86969
.00740 32
.00741
32+23 7.67443 | 0.00473 7.72775 0.005347.77798 0.00800 7.82544 | 0.00669 | 7.87042 0.00742 28
52
.00587
.00589
.00590
.81693 .00656 .86235
.007281 50
.81771 .00657
.81848
.86309
.00730 48
.00658
.86382
.00731 46
0.00732 44
.00592
.77308 .00593
.77390 .00594
.82003 .00661
.86530
.0073342
.82081 .00662
.86603
.0073540
.82158 .00663
.00736 38
36
.77553 .00596
.77635 .00598
.77716 .00599
.82313 .00665
.82390 .00607
.82467 .00668
.82621
36+24
.67626
.00475
38
.67718
.00476
.67900
44+26
.67991
46
.68082
50
.68264
52+28
.68355
.68445
.00478
.00479
.00480
.77960 .00602 .82698
.73034 .00537 .78041 .00603 .82774
40+25 7.67809 0.004777.73119 0.00539 7.78122 0.00604 7.82851
| | | |
42
.00540 .78203 .00605
.72948 .00536
.73205
.73291
.73377
.00541
.00542
.83081 .00677
| | |
48+27 7.68173 0.00481 7.73462 0.00543 7.78446 0.00609 7.83157 0.00679 7.87625
| | | |
.78284 .00607
.78365 .00608
.00482
.00483
.00484
.73548 .00544
.73633
.73718
.00545
.00546
.68627 .00486 .73889 .00548
54
56+29 7.68536 0.004857.73803 0.005477.78768 0.00613 7.83463 0.00683
| | |
58
.78848 .00614 .83539 .00685
.00758
60+30 7.68717 0.004877.73974 0.00549 7.78929 | 0.00616 7.83615 0.00686 7.88059 0.00760
|
.00670
.87115
.00743 26
.00671
.87188 .00745 24
.00673
.87261 .00746 22
0.00674 7.87334 0.00747 | 20
.82928 .00675
.83004 .00676
| |
.87407
.00748 18
.87480
.00750 16
.87552
.00751 14
0.00752
.00752 12
.78526 .00610 .83234 .00680
.78607
.00611 .83310
.78688
.00612 .83386
.00681
.00682
.87697
.87770
.00753 10
.00755 8
.87842 .00756
7.87915 0.00757
|
.87987
6/420
23h 28m
23h 20m
23h 26m
23h 22m
23h 24m

Page 54]
TABLE IV.
14
.88563 .00768 .92766
S
0
2
4+ 1
9A6
Haversines.
Oh 44m 11° 0'
Oh 40m 10° 0' Oh 42m 10° 30'
Oh 46m 11° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
Oh 48m 12° 0'
Log. Hav. Nat. Hav
8.03847 | 0.01093 60
.03907 .01094 58
S
07.88059 0.00760 7.92286 0.008377.96315 0.00919 8.00163 0.01004
.88131 .00761 .92354 .00839 .96380 .00920 .00226 .01005
.88203 .00762 .92423 .00840 .96446 .00921 .00289 .01007 .03967
.88276 .00763 .92492 .00841 .96511 .00923 .00351 .01008 .04027
8+ 27.88348 0.00765 7.92560 0.008437.96577 0.00924 8.00414 0.01010 8.04087
10
.88419 .00766 .92629 .00844 .96642 .00926
12+ 3 .88491 .00767 .92697 .00845 .96707 .00927
.00847 .96773 .00928
.01096 56
1647.88635 0.00770 7.92834 0.00848 7.96838 0.00930 8.00664 0.010158.04326 0.01105 44
.01097 | 54
0.01099 52
.00476 .01011 .04147
.00539 .01012 .04207
.00601 .01014 .04267
.01100 50
.01102 48
.01103 | 46
28+ 7
.88993
.89064
.00776
.00777
.89135
.00779
.89278
.93447
.93514
.00860
.00861
38
.00781
.01223 .01029
.89349 .00783
.01285 .01030
.89420 .00784 .93582 .00863 .97552 .00945 .01347
18
.88707 .00771 .92902 .00849 .96903 .00931 .00726 .01017 .04386 .01106 | 42
20+ 5 88778 .00772 .92970 .00851 .96968 .00933 .00788 .01018 .04446 .01108 40
22
.88850 .00774 .93039 .00852 .97033 .00934 .00851 .01020 .04506 .01109 38
24+ 67.88921 | 0.00775 7.93107 0.00853 7.97098 0.00935 8.00913 0.01021 8.04565 | 0.01111 36
26
.93175 .00855
.93243 .00856 .97228
30
.93311 .00857 .97293 .00940
32+ 87.89207 0.00780 7.93379 0.00859 7.97358 0.00941
| | | |
34
.97423 .00942
36+9
.97478 .00944
.97163 .00937
.00975
.01023
.04625 .01112 34
.00938
.01037
.01024
.04684
.01099
.01026
.04744
.01114 32*
.01115 30
8.01161 0.01027 8.04803 0.01117 | 28
| |
.04863 .01118 26
.04922
.01120 | 24
.01032
.04981
.0112222
42
.93717 .00865 .97681 .00948
.93785 .00867 .97746 .00949
.00868 .97810 .00951
52+13
40+10 7.89491 0.00785 7.93650 0.00864 7.97617 0.00947 8.01409 0.01033
.89562 .00786
44+11 .89633 .00788
46
.89704 .00789 .93852
12
48+12 7.89775 0.00790 7.93920 0.00869 7.97875 0.00952 8.01656 0.01039 | 8.05277 0.01129
50
.89846 .00792 .93987 .00871 .97939 .00954 .01717 .01040
10
.05336 .01131
.89916 .00793 .94055 .00872 .98003 .00955 .01779 .01042 .05395 .01132 8
.89987
54
.94122
.00794
.00873 .98068 .00956 .01840 .01043
6
.05454 .01134
56+14 7.90057 0.00795 7.94189 0.00875 7.98132 0.00958 8.01902 0.01045 8.05513 0.01135
58
8.05041 | 0.01123
20
.01471
.01034
.05100 .01125 18
.01532
.01036
.0.5159
.01126 | 16
.01594
.01037
.05218
.01128 14
7.90128 0.00797 7.94257 | 0.00876 7.98196 0.00959 8.01963 0.01046 8.05572 0.01137
42
23h 19m
Oh 41m 10° 0′
8
0+15
2
4+16
6
10
12+18
14
23h 17m
Oh 43m 10° 30′
7.90198 0.00798 7.94324 0.00877.
.90269 .00799 .94391 .00879
.90339 .00801 .94458 .00880
.90409 .00802 .94525 .00882
8+17 7.90480 0.00803 7.94592 0.00883 7.98517 0.00966 8.02270 0.01054 8.05866 0.01145 52
.90550 .00804 .94659 .00884 .98581 .00968 .02331 .01055 .05925
.90620
.94726
.00806
.00886 .98644
.02392
.00969
.0105'7 .05984
.90690 .00807 .94792 .00887 .98708 .00971 .02453 .01058 .06042
23h 15m
Oh 45m 11° 0' Oh 47m 11° 30'
7.98260 0.00961 8.02025 0.01048
.98325 .00962 .02086 .01049
.98389 .00964 .02148 .01051
.98453 .00965 .02209 .01052
23h 13m
23h 11m
Or 49m 12° 0'
8.05631 0.01138 60
.05690 .01140 58
.05749 .01142 56
.01143 54
.05808
S

|
.01146 50
.01148 48
.01149 46
18
20+20
22
99090
.91387
.00820
36+24
.91457
.00821
.95524
38
.91526
.00823
.95590
.91665 .00825
.96249
54
56+29 7.92148 0.00835 7.96183 0.009168.00038 0.010018.03727 | 0.01090
| | |
.00917 .00100 .01002 .03787 .01091
.92217 .00836
58
60+30 7.92286 0.008377.96315 0.00919 8.00163 0.010048.03847 0.01093 8.07379 0.01185
.00810 .94926
.90830
.00890 .98836 .00974 .02576 .01061 .06159
.00811 .94992
.90900
.00891 .98899 .00975 .02637 .01063 .06218
.90970 .00812 .95059 .00892 .98963 .00976 .02697 .01064 .06276
24+21 7.91039 0.00814 7.95126 0.00894 7.99027 0.00978 8.02758 0.01066 8.06335
.91109 .00815 .95192 .00895
26
,91179
.95259
.00816
.00897
28+22
.00817
.91248
.95325 .00898
30
32+23 7.91318 0.00819 7.95391 0.00899 7.99281 0.00984 8.03001 0.01072 8.06568
.95458 .00901 .99344 .00985 .03062 .01073
34
.00902 .99407 .00986 .03123 .01075
.00903 .99470 .00988
.01076
.03183
| |
40+25 7.91596 0.008247.95656 0.00905 7.99534 0.00989 8.03244 0.01078 8.06800 0.01170 20
| | | |
.95722
.99597
.00906
.01079
.00991 .03304
.06859
42
.95788 .00908 .99660
.91734 .00827
.00992 .03365 .01081
44+26
.00909
.91803
.95854
.99723
.00828
.00994
.01082
.03425
46
48+27 7.91872 0.00829 7.95920 0.00910 7.99786 0.00995 8.03486 0.01084 8.07032
.91941
.99849
.00831 .95986 .00912
.00997
.01085 .07090
.03546
50
.99912
.96052 .00913
.00998 .03606 .01087
.92010 .00832
52+28
.03666 .01088
.00914 7.99975 .00999
.96118
.92079 .00833
16+197.90760 0.00808 7.94859 0.00888 7.98772 0.00972 8.02515 0.01060 8.06101 0.01151 44
.01152 42
.01154 40
.01155 38
0.01157
36
.00979
.02819
.01067
.06393
.01159 34
.99154 .00981
.99217 .00982
.02880
.01069
.06451
.01160 32
.02941
.01070
.06510
.01162 30
0.01163 28
.06626
.06684
.06742 .01168 22
.01165 26
.01166 24
.01171 18
.06917
.01173 16
.06975
.01174 14
0.01176 12
.01177 10
.07148
.07206
|
8.07264 0.01182
.07322 .01184
.01179
.01180 6
8
23h 18m
23h 10m
23h 16m
23h 12m
23h 14m

TABLE IV.
[Page 55
Haversines.
ก
S
0
2
4+ 1
6
Oh 50m 12° 30'
Oh 54m 13° 30'
Oh 52m 13° 0'
Oh 56m 14° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Iav. Log. Hav. Nat. Hav.
Oh 58m 14° 30'
Log. Hav. Nat. Hav. S
08.07379 0.01185 8.10772 0.012828.14035 0.01382 8.17179 0.01485 8.20211 0.01593 60
.07437 .01187 .10827 .01283 .14089 .01383 .17230 .01487 .20261 .01594 58
.07494 .01188 .10883 .01285 .14142 .01385 .17282 .01489 .20310 .01596 56
.07552 .01190 .10938 .01286 .14195 .01387 .17333 .01491 .20360 .01598 54
12+ 3
14
.11324
22
.08011 .01203
.11379
8+ 28.07610 0.01192 8.10993 0.012888.14248 0.01388 | 8.17384 0.01492 8.20410 | 0.01600 52
10
.07667 .01193 .11049 .01290 .14302 .01390 .17436 .01494 .20459 .01602 50
.07725 .01195 .11104 .01291 .14355 .01392 .17487 .01496 .20509 .01604 48
.07782 .01196 .11159 .01293 .14408 .01393 .17538 .01498 .20558 .01605 46
16+ 4 8.07839 0.01198 8.11214 | 0.01295 8.14461 0.013958.17590 0.01499 8.20608 0.01607 | 44
18
.07897 .01199 .11269 .01296 .14514 .01397 .17641 .01501 .20657 .01609 42
20+ 5 .07954 .01201
.01298 .14567 .01399 .17692 .01503 .20706 .01611 40
.01300 .14620 .01400 .17743 .01505 .20756 .01613 38
42
44+11
46
28+7
24+ 68.08069 0.01204 8.11435 0.01301|8.14673 0.01402 8.17794 0.01506 8.20805 0.01615 36
26
.08126 .01206 .11490 .01303 .14726 .01404 .17845 .01508 .20854 .01616 34
.08183 .01207 .11544 .01305 .14779 .01405 .17896 .01510 .20904 .01618 32
30
.08240 .01209 .11599 .01306 .14832 .01407 .17947 .01512 .20953 .01620 30
32 8 8.08297 0.01211 8.11654 0.01308 8.14885 0.01409 8.17998 0.01513 8.21002 0.01622 28
34
.08354 .01212 .11709 .01309 .14938 .01411 .18049 .01515 .21051 .01624 26
36+ 9 .08411 .01214 .11764 .01311 .14991 .01412 .18100 .01517 .21100 .01626 24
38
.08468 .01215
.11819 .01313 .15043 .01414 .18151 .01519 .21149 .01627 22
40+10 8.08525 0.01217 8.11873 0.013148.15096 0.014168.18202 0.01521 8.21199 0.01629 20
|
| | | | |
.08582 .01218 .11928 .01316
.21248
.08639 .01220 .11983 .01317
.08696 .01222 .12038 .01319
48+12 8.08752 0.01223 8.12092 0.01321 8.15307 0.01423 8.18405
.15149 .01417
.15201 .01419
.15254 .01421
50
.08809 .01225
.01323
52+13 .08866 .01226 .12201 .01324
54
.08922 .01228 .12256 .01326
.12147
.15359
.15412
.15464
.01631 18
.21297 .01633 16
.01526 .21346 .01635 14
0.01528 8.21395 0.01637 12
.01424 .18455 .01530 .21444 .01638 10
.01426 .18506 .01531 .21493 .01640 8
.01428 .18557 .01533 .21541 .01642 6
56+14 8.08979 0.01230 8.12310 | 0.013288.15517 0.01429 8.18607 0.01535 8.21590 0.01644 4
58
8.09036 0.01231 8.12365 0.01329 8.15569 0.01431 8.18658 0.01537 8.21639 0.01646
.18253
.01522
.18303
.01524
.18354
2
23h 9m
23h 7m
S
Oh 51m 12° 30
0+15 8.09092 0.01233
2
.09149 .01234
4+16 .09205 .01236
Oh 53m 13° 0'
8.12419 0.01331
12473 .01333
.12528 .01334
.15726
23h 5m
Oh 55m 13° 30'
8.15622 0.01433
.15674 .01435
.01436
23h 3m
Oh 57m 14° 0' Oh 59m 14° 30'
8.18709 0.01538 8.21688 0.01648 60
.18759 .01540 .21737
.18810 .01542 .21785
23h 1m
S

.01650 | 58
.01651 56
6
.09262 .01238 .12582 .01336
.15779
.01438
.18860 .01544 .21834
.01653 54
.01354
.01356
8+17 8.09318 0.01239 8.12636 0.01338 8.15831 0.01440 8.18910 0.01546 8.21883 0.01655 52
10
.09374 .01241 .12691 .01339 .15883 .01442 .18961 .01547 .21932 .01657 50
12+18 .09431 .01243 .12745 .01341 .15935 .01443 .19011 .01549 .21980 .01659 48
14
.09487 .01244 .12799 .01343 .15987 .01445 .19062 .01551 .22029 .01661 46
16+19 8.09543 0.01246 8.12853 0.01344 8.16040 0.014478.19112 0.01553 8.22077 0.01663 44
18
.09600 .01247 .12907 .01346 .16092 .01448 .19162 .01555 .22126
.01664 42
20+20 .09656 .01249 .12961 .01348 .16144 .01450 .19212 .01556 .22175 .01666 40
22
.09712 .01251 .13015 .01349 .16196 .01452 .19263 .01558 .22223 .01668 38
24+21 8.09768 0.01252 8.13069 0.01351 8.16248 0.01454 8.19313 0.01560 8:22272 0.01670 36
26
.09824 .01254 .13123 .01353 .16300 .01455 .19363 .01562 .22320
28+22 .09880 .01255 .13177
.16352 .01457 .19413 .01564 .22368
30
.09936 .01257 .13231
.16404 .01459 .19463 .01565 .22417
32+23 8.09992 0.01259 8.13285 0.01358 8.16456 0.01461 8.19513 0.01567 8.22465
34
.10048 .01260 .13339 .01360 .16508 .01462 .19563 .01569
36+24 .10104 .01262 .13392 .01361 .16559 .01464 .19613 .01571 .22562
38
.10160 .01264 .13446 .01363 .16611 .01466 .19663 .01573 .22610
40+25 8.10216 0.012658.13500 0.01365 8.16663 0.01468 8.19713 0.01574 8.22658
42
.10271 .01267 .13554 .01366 .16715 .01469 .19763 .01576 .22707
44+26 .10327 .01268 .13607 .01368 .16766 .01471 .19813 .01578 .22755
.10383 .01270 .13661 .01370 .16818 .01473 .19863 .01580 .22803 .01691 14
48+27 8.10439 0.01272 8.13714 0.01371 8.16870 0.01475 | 8.19913 0.015828.22851 0.01692 12
50
.10494 .01273 .13768 .01373 .16921 .01476 .19963 .01584 .22899 .01694 10
.10550 .01275 .13822 .01375
.01585 .22947 .01696 8
54
.10605 .01277 .13875 .01376
.01587 .22996 .01698 6
56+29 8.10661 0.01278 8.13928 0.01378 8.17076 0.014828.20112 0.015898.23044 0.01700
58
.10716 .01280 .13982 .01380 .17127 .01483 .20162 .01591 .23092
60+30 8.10772 0.01282 8.14035 0.01382 8.17179 0.01485 8.20211 0.01593 8.23140 0.01704
46
52+28
.16973
.17024
.01478 .20012
.01480 .20062
.01672 84
.01674 82
.01676 30
0.01677 28
.22514
.01679 26
.01681 24
.01683 22
0.01685 20
.01687 18
.01689 16
.01702
420
23h 8m
23h Om
23h 6m
23h 2m
23h 4.m
Page 56]
TABLE IV.
Haversines.



S
1h 0m 15° 0'
1h 2m 15° 30'
1h Sm 15° 45′
1h 1m 15° 15'
1h 4m 16° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. IIav. Nat. Hav.
S
0
8.23140
.017048.24567 .01761 8.25971
.01818
8.27352 .01877 8.28711
1
2
3
ст
+1
.23164 .01705 .24591 .01762 .25994
.23188 .01706 .21614
.23212 .01707 .24638
18.23235 017078.24661
.01763 .26017
.01764 .26040
.017648.2606-1
23259
6
23283
7
.23307
.01710
.01708 .24685
.01709 .24708
.24732
.01765 .26087
.01766 .26110
.01767 26133
8.23331
.01711
8.24755
.01768 | 8.26156
9
23355
•
10
11
+
.01712
.23379 .01713 .24803
.23-4403 .01714 .24826
3/18.23427 .017158.24850
.24779
.01769 .26179
13
.23451
14
.23175
15
.23499
+
4/8.23523
.01770 .26203
.01771 .26226
.01772 8.26249
.01716 .21873 .01773 .26272
.01717 .24897 .01774 .26295
.01718 .24920 .01775 .20318
.01719 | 8.24914
.01819
.01820
.01821 .27420
.01822 | 8.27443 01881 | 8.28801
.01823 .27466 .01882 .28823
.01824 .27489 .01883 .28846
.01825 .27512 .01884 .28868
.01826 8.27534
.01827 .27557
.01828 .27580
.01829 .27603
.27375 .01878 .28734
.27398 .01879 .28756
.01880 .28779
.01937
.01938
.01939 58
798
60
59
.01940 57
.01941 56
.01942 | 55
.01943 54
.01944 53
.01885 8.28891
.01886
.01887 .28936
.0194552
.28913
.01946 | 51
.01947 50
.01888 .28958
.01948 49
.018308.27626
.01.8898.28980
.01949 48
.01831 .27648
.01832 .27671
.01833 .27694
.01890 .29003

.01950 47
.01391
.29025
.01951 46
.01892 .29048
.01952 45
.017768.26341
.018348.27717
.018938.29070
.01953 44
17
.23546
.01720
.24967
.01777 .26364
18
.23570
.01721
.24991
19
.23591
.01722 25011
+
5/8.23618 017238.25037
21
.23642
.01724 25061
22
.23666
223
.23690
.01724 .25084
.01725 .25108
+
6/18.23713
25
.23787
26
.23761
27
.23785
+
78.23809
29
.23832
30
.2385
31
.23880
+
88.23904
33
.23928
34
.2395L
35
.23975
+
98.23999
37
38
89
+10
41
.017268.25131
.01727 .25155
.01728 .25178
.01729 25202
.01730 8.25225
.01731 .25248
.01732 .25272
.01733 .25295
01734 | 8.25319
.01735 .25342
.01736 .25365 .01793
.01737 .25389 .01794 .26779
.01738 8.25412 .01795 8.26802
.24022 .01739 .25435 .01796 .26825
.24046 .01740 .25459 .01797 .26818
.24070 .01741 .25482 .01798 .26871
8.21094 01742 8.25505
.24118 .01743 25529
.01778 .26388
.01779 .26411
.01780 8.26434
.01781 .26457
.01782 .26480
.01783 .26503
017848.26526
.01835 .27739
.01836 .27762
.01837 .27785
.01838 | 8.27807
.01839 .27830
.01840 .27853
.01841 .27876
.01894 .29092
.01954 43
.01895
.29115
.01955 42
.01896
.29137
.01956 41
.01897 | 8.29.159
01957 40
.01898
01899 .29204
.29182
.01958 39
.01959 38
.01900 .29226
.01960 37
.01785 265-19
.01786 .26572
.01787 .26595
.018428.27898
01843 .27921
.01844 .27944
.01845 .27966
.01901
.01902
8.29249
.01961 36
.29271
.01962 85
.01903 .29293
.01963 34
.01904 .29316
.01964 33
.017888.26618
.018468.27989
.019058.29338
.01965 | 32
.01789 .266-11
.01789 .26664
.01790 .26687
.01847 .28012
.01848
.01906 .29360
.01966 31
.28034
.01907 .29383
.01967 30
017918.26710
.01792 .26733
.01849 .28057
.01850 8.28080
.01851 .28102
.01908 .29405
.01968 29
01909 8.29427
.01969 28
.01910 .29449
.01970 27

.20756
.01852 .28125
.01853 .28147
.01911 .29472
.01971 26
.01912 .29494
.01972 25
.01854 8.28170
.01855
.01856 .282.15
.019138.29516
.01973 24
.28193
.01914 .29539
.01974 23
.01915 .29561
.01975 22
.01857 .28238
.01916 .29583
.01976 21
.017998.26894
.01858 | 8.28260
.01917 8.29605
.01977 | 20
.01800 .26917
.01859 .28283
.01918 .29628
.01978 19
42
.24141
.01743 25552
.01801
.26940
4.3
.21165
.01744 .25575
.01802
.26963
118.24189
.01745 8.25599
45
.24212
.01746
.25622
.01801
46
.24236
.01747
.25645
.01805
47
.24260
.01748 .25669
.01806
+
128.21283
701749 | 8.25692
01807 | 8.27078
.01860
.01861
.01803 | 8.26986 .01861 8.2835L
.27009 .01862 .28373
.27032 .01863 .28396
.27055 .01864 .28418
.01865 | 8.28441
.28306
.28328
.01919 .29650
.01979 18
.01920 .29672
.01980 1'7
.019218.29694
.01981 16
.01922 .29716
.01982 15
.01923
.01924
.29739
.01983 14
.29761
.01984 18
13
.01925 | 8.29783
.01985 12
49
.24307
.01750
.25715
.01808
.27100
.01866 .28164
.01926 .29805
.01986 11
50
.25738
51
+
138.24378 .017538.25785 .01811
53
54
5.5
.24331 .0175A
.27123 .01867
.24354 .01752 .25762 .01810 .27146 .01868 .28509
8.27169 .01869 8.28531
.24102 01754 .25808 .01812 .27192 .01870 .28554
.24425 .01755 .25831 .01813 .27215 .01871 .28576
.24149 .01756 .25855 .01814 .27238 .01872 .28599
.01809
.28486
.0.1927 .29827
.01987 10
.01928 .29850
.01988 9
.01929 | 8.29872
.01989 8
.01930 .29894 .01990
.01931 .29916
.01932 .29938
+-
148.21173 .017578.25878 .01815 8.27261
.018738.28621
57
58
59
.24513 .01760
+
15'8.24567
.017618.25971
.24496 .01758 .25901 .01816 .27283 .01874 .28614
.24520 .01759 .25921 .01817 .27306 .01875
.25948 .01818 27329 .01876
.01818 8.27352 .01877
28666
28689
8.28711.
.01991 6
.01992 5
019338.29960 .01993
.01934 .29982 .01994
.01935 .30005 .01995 2
.01936 .30027 .01997 1
.019378.30049
.01998 0
22h 59m
22h 55m
22h 58 m
99h 56m
22h 57m

TABLE IV.
[Page 57
Haversines.
S
1h 5m 16° 15'
1h 7m 16° 45'
1h Sm 17° 0'
1h 6m 16° 30'
1h 9m 17° 15
Log. Hav. Nat. Ilav. Log. IIav. Nal. Hav. Log. Hav. Nat. Hav. Log. Hav. Nal. lav. Log. Hav. Nat. Hav
S
0
1
8.30049 .01998 8.31366
.30071 .01999 .31388
.020598.32663
2
соо
.30093 .02000
.31410
.30115 .02001
.31431
.02121 8.33940
.02060 .32681 .02122 .33962
.02061 .32706 02124 .33983
.02062 .32727 .02125 .31004
.021858.35199
.02186 .35220
.02249 60
.02250 | 59
.02187
.02188
.35241
.0225158
.35261
.0225257
+
18.30137
.02002 | 8.31153
.02063 | 8.32719
.02126 | 8.34025
.02189 | 8.35282
.02253 56
567
.30159 .02003
.31475
.02064
.32770
.02127
.31016
.02190
.35303
.02254 55
.30182
.02004
.31497
.02065
.32792
.02128
.31067
.02191
.35324
.02255 54
.30204 .02005
.31518
+
2/18.30226
.02006 | 8.31540
9
.30248
.02007
.31562
.02066 .32813
.02067 | 8.32834
.02063 .32856
.02129 31088
.02192 .35345
.02257 53
.021308.31109
.021938.35365
.02258 52
10
.30270
.02008
.31584
.02069
11
.30292
.02009
.31605
.32877
.02070 .32899
+
38.303.14
.020108.31627
13
.30336
.02011
14
.30358
.02012
15
.30380
.02013 .31692
.02071 | 8.32920
.31619 .02072 .32941
.31670 .02074 .32963
.02075 .32984
.02131 .34130
.02132 .31152
.02133 .34173
.02134 18.31194
.02135 .31215
.02136 .31236
.02194 .35386
.02259 51
.02195
.35407
.02260 50
.02196 .35428
.02261 49
.01988.35119
.02262 | 48
+
48.30402 .020148.31714
.020768.33006
1'Y
.30424
18
19
.30-168 .02017
.02015 .31735 .02077 .33027
.30446 .02016 .31757 .02073 .33048
.31779 .02079 .33070
.0213731257
.021388.31278
.02139 .34299
.02140 .31320
.02141 34311
.02199 35-169
.02200 .35490
.02201 .355.11
.022028.35582
.02263 47
.02264 46
02265 45
602266) 44
.02203 .35552
.02204
.02205 .35594
.35573
.02267 43
.02268 | 42
.02270 41
+
21
5'8.30490 .02018 8.31800
.30512 .02019 31822
.020808.33091
.021428.34362
.022068.3561
.02271 40
22
.30534
.02020
.31814
23
.30556
.02021
.31865
.02081 .33112 .02143 34383
.02082 .33134 .02145 .3-1401
.02083 .33155 .02146 .34425
.02207 .35635
.02272 89
.02203
.02209 .35677
.35656
.02273 38
.02274 37
+
6/18.30578
.02022 8.31887
.02084 | 8.33176
.021478.31116
.022108.35697
.02275
نات
25
.30000
.02023
.31909
.02085
.33198
26
.30622
.02024 .31930
.02086
.33219
27
.30644
.02025
.31952
.02087
.33240
.02148 .34167
.02149
.02150 .3-1509
02211 .35718
.02276 35
.34488
.02212
.35739
.02277 34
.02214
.35759
.02278 33
+
7/8.30666
.02026 | 8.31974
.02088 | 8.33262
.021518.34530 .022158.35780
.02279 32
3290
.30688 .02027 .31995 .02089
80
.30710
.02028
.32017
$1
.30732
.02029 .32039
.02090
.02091
.33283
.33301
.33325
.02152 .3-4551
.02153 .31572 .02217 .35821
.02154 .34593
.02216
.35801
.02280 | 31
.02281 30
.02218 .35842
.02283 29
+
8/8.30754
.02030 | 8.32060
33
.30776
.02031
.32082
34
.30798
.02032
.32103
.02092 | 8.33347
.02093 .33368
.02094
.02155 | 8.34614
.02219 8.35863
.02284 28
.33389
.02156
.02157
.34635
.34656
.02220
.02221
.35883
.02285 27
.35904
.02286 26

$5
.30820
.02933 .32125
.02095 .33411
.02158 .3-1677
.02222 .35925
.02287 25
+ 9/8.30842 .020348.32147
020968.33432
.02159 | 8.34698
.022238.35945
.02288 24
3'7
.30863
$8
.30885
39
.30907
+-
108.30929
.02038 | 8.32233
41
.30951
42
.30973
43
.30995
+-
118.31017
.02101
.02039 .32254 .02102
.02040 .32276
.02042 .32297
.02043 | 8.32319
.02035 .32168 02097 .33453
.02036 .32190 .02098 .33474
.02037 .32211 .02099 .33496
8.33517
.02160 .34719
.02161 .34740
.02162 .34761
.021648.31782
45
.31039
.02044
46
.31060
.02045
47
.31082
.02046
fa
12/8.31104
.33538
.02103 .33559
.02104 .33580
.02105 | 8.33602
.32341 .02106 .33623
.32362 .02107 .33644
.32384 .02108 .33665
.02047 | 8.32405
.02165 .34803
.02166
.021098.33686
.02171
.02172
.31928
8.34919
02224 .35966
.02225 .35987
.02226 .36007
.02227 8.36028
02229 .36048
.34823 .02230 .36069
.02167 .3.1844 .02231 .36090
021688.3-1865 .02232 | 8.36110
.02169 .34886 .02233 .36131
.02.170 .31907 02234
.02235 .36172
02236 | 8.36193
.02289 | 23
.02290 | 22
.0229121
.02292 20
.02293 19
.02295 18
.02296 17
.02297 16
.02298 15
.36151
02299 14
.02300 13
.02301 12
49
.31126
50
31148
51
+
.31170
138.31192 .020518.32491
.02048 .32127
.02049 32448
.02030 32470
.02110 .33708 02173 .31970
.02111 .33729 .02174 .31991
.02112 .33750
.02237
.36213
.02302 11.
.02238
.36234
.02303 10
.02175 .35011
.02239
36254
.02304 9
53
54
55
+
57
58
.020598.32663
59
14/8.31279
.02055 | 8.32577
.02118 .33877
.32620 .02119 .33898
.32642 .02120 .33919
.31301 .02056 .32599
.31322 .02057
.31344 .02058
+158.31366
.021218.33940
021138.33771
.31213 02052 .32513 .02114 .33792
.31235 .02053 .32534 .02115 .33814
.31257 .02054 .32556 .02116 .33835
.02055
.021768.35032
.02240 | 8.36275
02305
02177 .35053
.02178
02241
.36295
.02307
.35074 .02243
.36316
.02308
.02179 .35095 .02244 .36337
.02309
.021178.33856
.021818.35116
.022458.36357
.02310 4
.02182 .35.137
.02183 .35.157
.02184
.02185
.02246 .36378 .02311
.02247 .36398 .02312
.35178 .02248 .36419 .02313
8.35199
.02249 8.36439
.02314 0
22h 54m
22h 50m
22h 53m
22h 51m
22h 52m

Page 58]
TABLE IV.
Пaversines.
S
0
1
.023148.37662 .02380 8.38867
.36460 .02315 .37682 .02381
1h 10m 17 30/
1h 11m 17° 45'
1h 12m 18° 0'
1h 13m 18° 15' 1h 14m 18° 30'
Log. Hav. Nat. Iav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. IIav. Nat. Hav.
8.36439
2
.36480
.02316
3
.36501
.02317
.37702
.37722
.38886
.02382 .38906
.02384 .38926
+ 18.36521
.023198.37742
.023858.38946
5
.36542
6
.36562
7
.36583
.02320 .37763
.02321 .37783
.02322 .37803
.02386 .38966
.02387 .38986
.02388 .39006
+ 2/8.36603
.023238.37823
.023898.39026
9
.36624
10
.36644
11
.36665
+
38.36685 .02327
13
.36706
.02328
.02324 .37843 .02390 .39046
.02325 .37864 .02391 .39066
.02326 .37884 .02392 .39086
8.37904
.37924
.023948.39105
14
.36726
.02329
.37944
15
.36746
.02331
.37964
+
48.36767
.023321 8.37985
17
.36787
.02333 .38005
18
.36808
19
.36828
+
5/8.36849
21
22
.36889
.02334
.02335
02336 8.38065
.36869 .02337 .38085
.02338 .38105
.38025
.02395 .39125
.02396 .39145
.02397 .39165
.02398 8.39185
.02399
.02400
.02447 8.40055
.02448 .40074
.02449 .40094
.02451 .40114
.02452 8.40133
.02453 .40153
.02454 .40172
.02455 .40192
.02456 8.40212
.02457 .40231
.02458 .40251
.02460 .40271
.02461 8.40290
.02462
.02463 .40329
.02464 .40349
.025158.41226
.02516 .41246
.02517 .41265
.02518 .41284
.02520 8.41304
.02521
.02522 .41343
.02523 .41362
.02584 60
.02585 59
.02586 58
.02587 57
.02588 56
.41323
.02590 55
.02591 54
.02592 53
.025248.41381
.02593 52
.02525 .41401
.02594 || 51
.02526
.02528
.41420
.02595 | 50
.41439
.02597 49
.025298.41459
.02598 48
.40310
.02530 .41478
.02599 47
.02531 .41497
.02600 46
.02532
.41517
.02601 45
.02465 8.40369
.02533
8.41536
.02602 44
.39205
.02466 .40388
.02534
.41555
.02603 43
.38045 .02401
.39225
.39245 .02469
.02402 8.39264
.02467 .40408 .02536 .41575
.02605 42
.40427 .02537 .41594
.02606 41
.02470 8.40447
.025388.41613
.02607 40
.02404 .39284
.02471
.40467
.02539 .41632
.02608 39
.02405
.39304
.02472
.40486
.02540
.41652
.02609 38
23
.36910
.02339 .38126
.02406
.39324 .02473
.40506
.02541 .41671
.02610 37
+
68.36930
.023408.38146
.02407 8.39344
.02474 8.40525
.025428.41690
.02612 36
25
.36951
.02342 .38166
.02408
.39364
.02475
.40545
.02544 .41710
.02613❘ 35
26
.36971
.02409
27
.36991 .02344
+
7/18.37012
29
.37032
30
.37053
31
.37073
+
8'
8.37093
.023498.38306
33
.37114
.02350 .38326
.02417
34
.37134
.02351 .38346
.02418
35
.37154 .02353
.38367
.02419
.02343 .38186
.38206 .02410 .39403 .02478 .40584
.02345 || 8.38226 .02411 8.39423 .02479 8.40603
.02346 .38246 .02412 .39443 .02480 .40623
.02347 .38266 .02414 .39463 .02481 .40642
.02348 .38286 .02415 .39482 .02482 .40662
.02416 8.39502 .02483 8.40681
.39522 .02484 .40701
.39542 .02486 .40721
.39562 .02487 .40740
.39384
.02476
.40564
.02545 .41729
.02614 34
.02546 .41748
.02615| 33
.02547
8.41767
.02616 32
.02548 .41787
.02617 31
.02549
.41806
.02619 30
.02550 .41825
.02620 | 29
.025528.41845
.02621 28
it
9/18.37175
.02354
8.38387
.02420
8.39581
.024888.40760
37
.37195 .02355
.38407 .02421
.39601
38
.37215 .02356 .38427 .02423
.39621
.02489 .40779
.02490 .40799
89
.37236
.02357 .38447 .02424
.39641
.02491
.40818
.02553 .41864
.02554 .41883
.02555
.02556 8.41921
.02557 .41941
.02559
.02560 .41979
.02622 27

.02623 26
.41902
.02624 25
.02626 24
.02627 23
.41960
.02628 22
.02629 21
+10
8.37256
.02358 8.38467
.02425
8.39660
.02492
8.40837
.025618.41998
.02630 20
41
.37276
.02359
.38487 .02426
.39680
.02493
.40857
.02562 .42018
.02631 | 19
42
.37297
43
45
46
47
+ 12/8.37419
49
50
51
.02360 .38507 .02427
.37317 .02361
+ 118.37337 .02363
.37358 .02364
.37378 .02365 .38587 .02431
.37398 .02366 .38607 .02433 .39799
.02367 8.38627 .02434 8.39818
.37439 .02368 .38647 .02435 .39838
.37459 .02369 .38667 .02436 .39858
.37479 .02370 .38687 .02437 .39877
.39700
.02495
.40876
.02563
.42037
.02633 18
.38527 .02428 .39720
8.38547 .02429 8.39739
.38567 .02430 .39759
.02496
.40896
.02564 .42056
.02634 17
.02497 8.40915
.025658.42075
.02635 16
.02498 .40935
.02567 .42095
.02636 15
.39779
.02499 .40954
.02568 .42114
.02637 14
.02500 .40974
.02569 .42133
.02638 13
+138.37500 .02371 8.38707 .02438 8.39897
.02506
.02501 8.40993
.02503 .41013 .02571
.02504 .41032 .02572
.02505 .41052 .02573 .42210
8.41071
.02570 8.42152
.02639 12
.42171
.02641 11
.42190
.02642 10
.02643 9
.02575 8.42229
.02644 8
5.3
54
55
+
57
58
5.9
+
15/18.37662
.37520 .02372 .38727 .02439 .39917
.37540 .02374 .38747 .02440 .39937
.37560 .02375 .38767 .02442 .39956 .02509 .41129
148.37581 .023768.38787 .02443 8.39976 .02510 8.41149
.37601 .02377 .38807 .02444 .39996 .02512 .41168
.37621 .02378 .38827 .02445 .40015 .02513 .41187
.37641 .02379 .38847 .02446 .40035 .02514 .41207
.02380 8.38867 .02447 8.40055 .02515 8.41226
.02507
.41090
.02576 .42248
.02645 27
.02508
.41110
.02577 .42267
.02646 6
.02578 .42286
.02648 5
.02579 | 8.42305
.02580
.02582
.02649 4
.42324
.02650 3
.42344
.02651
.02583 .42363 .02652 1
.02584 | 8.42382
.02653 0
22h 49m
22h 45m
22h 48m
22h 46m
22h 47m

TABLE IV.
[Page 59
S
Haversines.
1h 15m 18° 45'
1h 1'7m 19° 15′ 1h 18m 19° 30' 1h 19m 19° 45'
1h 16m 19° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. IIav. Log. Hav. Nat. Hav.
S
012♡
8.42382
3
.026538.43522
.42401 .02655 .43541
.42420 .02656 .43560
.42439 .02657 .43578
.02724 | 8.44647
.02725 .44665
.02726 .44684
.02796 8.45757
.02797 .45775
.02728 .44703
.02798 .45794
.02799 .45812
.02868 8.46852
.02869
.02870 .46889
.02941 60
.46871
.02942 59
.02944 58
.02871 .46907
.02945 57
+
18.42458
.026588.43597
.027298.44721
.02800 8.45830
.028738.46925
.02946 56
567
.42477
.02659
.42497
.02661
+
.42516
2/18.42535
9
10
11
+
3'
8.42611
13
.42630
14
.42649
15
.42668
.43616 .02730 .44740
.02731
.43635
.02662 .43654 .02732 .44777
.02663 8.43673 .02734 8.44796
.42554 .02664 .43692 .02735 .44814
.42573 .02665 .43710
.42592 .02666 .43729
.02668 8.43748
.02669 .43767
.02670 .43786
.02671 .43805
.44758
.02802
.02803
.45849
.45867
.02804 .45885
.02874
.02875
.02876 .46979
.46943
.02947
55
.46961
.02949 | 54
.02950 53
.02805 8.45904
.02951
.02878 8.46998
52
.02806 .45922
.02879
.47016
.02952 51
.02736 .44833
.02737 .44851
.027388.44870
.02739 .44889
+
48.42687
.026728.43823
17
.42706
.02673
18
.42725
19
.42745
.02741 .44907
.02742 .44926
.02743 8.44944
.43842 .02744 .44963
.02675 .43861 .02745 .44981
.02676 .43880 .02747 .45000
.02808 .45940
.02809 .45959
.02810 8.45977
.02811 .45995
.02812 .46014
.02814 .46032
.02880
.02881 .47052
.47034
.02954 | 50
.02955 49
.028838.47070
.02956 48
.02884 .47088
.02885
.02886 .47124
.02957 | 47
.47106
.02958 | 46
.02960 45
.028158.46050
.028878.47142
.02961 44
+
21
22
23
+ 6'
25
26
27
+
29
30
31
+ 8'
38
34
35
5/18.42764 .026778.43899 .02748 8.45018
.42783 .02678 .43917 .02749 .45037
.42802
.02679 .43936 .02750 .45055
.42821 .02680 .43955 .02751 .45074
8.42840 .02682 8.43974
.42859 .02683 .43992
.42878 .02684 .44011
.42897 .02685 .44030
78.42916 .02686 8.44049
.42935 .02688 .44067
.42954 .02689 .44086 .02760
.42973 .02690 .44105 .02761 .45222
8.42992 .02691 8.44124 .02762 8.45241
.43011 .02692 .44142 .02763 .45259
.43030 .02693 .44161 .02764 .45278
.43049 .02695 .44180 .02766 .45296
.02816 .46069
.02817 .46087
.02818 .46105
.02820 8.46124
.02821 .46142
.02822 .46160
.02823 .46179
.02889 .47160
.02962 43
.02890 .47178
.02963 42
.02891
.47197
.02965 41
.02892
8.47215
.02966 40
.02893
.47233
.02967 39
.02895 .47251
.02968 38
.02896 .47269
.02970 87
.02753 8.45093
.028248.46197
.02897 8.47287
.02971 36
.02754 .45111
.02755 .45130
.02826 .46215
.02827 .46233
.02898
.47305
.02972 35
.02900
.47323
.02973 34
.02756 .45148
.02828 .46252 .02901
.47341
.02974 33
.027578.45167
.02829 8.46270
.02902
8.47359
.02976 32
.02759 .45185
.02830 .46288
.02903
.47377
.02977 31
.45204
.02832 .46306
.02833 .46325
.02904
.47395
.02978 80
.02906 .47413
.02979 29
.028348.46343
.029078.47431
.02981 28
.02835 .46361
.02836 .46379
.02838 .46398
.02908 .47449
.02982 27

.02909
.02911
.47467
.02983 26
.47485
.02984 25
+
37
38
89
+10
41
98.43068 .02696 8.44199 .02767 8.45315
.43087 .02697 .44217 .02768 .45333
.43106 .02698 .44236 .02769 .45352
.43125 .02699 .44255 .02771 .45370
8.43144 .02700 8.44273
.43163 .02702 .44292
.028398.46416
.02912 | 8.47503
.02986 24
.02840 .46434
.02913
.47521
.02987 23
.02841 .46452
.02914
.47539
.02988 22
.02842 .46471
.02915 .47557
.02989 21
.027728.45388
42
.43181
43
.43200
+
11
45
46
47
49
50
51
+ 13
53
54
55
+148.43446
.45518
+128.43295 .02710 8.44423 .02781 8.45536
.43314 .02711 .44442 .02782 .45554 .02855 .46653
.43333 .02712 .44460 .02784 .45573 .02856 .46671
.43352 .02713 .44479 .02785 .45591 .02857 .46689
8.43371 .02715 8.44498 .02786 8.45610 .02858 8.46707
.43390 .02716 .44516 .02787 .45628 .02859 .46725
.43409 .02717 .44535 .02788 .45646 .02861 .46744
.43427 .02718 .44554 .02790 .45665 .02862 .46762
.02719 8.44572
.02863 8.46780
.02773 .45407
.02703 .44311 .02774
.02704 .44330 .02775 .45444
8.43219 .02705 8.44348 .02776 8.45462 .028498.46562
.43238 .02706 .44367 .02778 .45481
.43257 .02708 .44386 .02779 .45499
.43276 .02709 .44404 .02780
.45425
.02844 8.46489
.02845 .46507
.02846 .46525
.02847 .46544
.02917 8.47575
.02991 20
.02850 .46580
.02851 .46598
.02852 .46616
.02918
.02919 .47611
.02920
.02922 8.47647
.02923
.02924 .47683
.47593
.02992 19
.02993 | 18
.47629
.02994 17
.02996 16
.47665
.02997 15
.02998 14
.02925 .47701
.02999 13
.028538.46634
.029268.47719
.03000 12
.02928 .47737
.03002 11
.02929
.47755
.03093 10
.02930 .47773
.03004 9
.029318.47791
.027918.45683
57
58
59
.43465 .02721 .44591 .02792 .45702 .02864 .46798
.43484 .02722 .44610 .02793 .45720 .02866
.43503 .02723 .44628 .02794 .45738 .02867
+ 15′ 8.43522 .02724 8.44647 .02796 8.45757 .02868
.03005 8
02933 .47809 .03007 7
.02934 .47827 .03008 6
.02935 .47844 .03009 5
.02936 8.47862 .03010 4
.02938 .47880 .03012 3
.46816 .02939 .47898 .03013
.46834 .02940 .47916 .03014 1
8.46852 .02941 8.47934 .03015 0
22h 44m
22h 40m
22h 43m
22h 41m
22h 42m

Page 601
TABLE IV.
Haversines.
1h 20m. 20° 0′
1h 21m 20° 15'
1h 22m 20° 30' 1h 23m 20° 45′ 1h 24m 21° 0'
S
Log. Hav. Nat. Hav. Log. IIav. Nat. IIav. Log. Hav. Nat. IIav. Log. IIav. Nat. Lav. Log. IIav. Nat. Hav.
S
0
1
2
8.47934 .03015
.47952 .03017
.47970 .03018
.47988 .03019
+
18.48006
8.49002
.49020 .03092 .50074
.49037 .03093 .5009L
.19055 .03094 .50109
.03020 | 8.49073
.03090 8.50056
.031668.51098
.030958.50126
607
48024
.03022
.49090
.03097 .50114
48011
.03023
.49108
48059
.03024 .49126
.03098
.03099
+
2/18.48077
.030258.49143
.5016L
.50179
03101 | 8.50196
03243
.03168 .51115 .03245
.03169 .51132 .03246
.03170 .51150
031718.51167
.03173 .51184
.03174 .51201
.03175 .51219
8.52127
.03321 60
.52144
.0332259
.52161
.03324 58
.03247
.52178
.03325 57
.03248 8.52195
.03326 56
.03250 .52212
.03328 | 55
.03251
.03252 .52246
.52229
.03329 | 54
.03330 53
.031778.51236
.032548.52263
.03331 52
9
.48095
.03027 .4916L
.03102
10
48113
11
48131
+
3/18.48149
.03028 .49179
.03029 .49196
.03030 8.49214
.03103
.50214
.50231
.03104 .50248
.03178 .51253
.03179 .51270
.03180 .51287
.03255 .52280
.03256
.03333 | 51
.52297
.03334 | 50
.03257 .52314
.03335 49
.031068.50266
.031828.51305
.032598.52331
.03337 | 48
13
.48167
.03032
.19232
14
.48184
.03033
.49249
.03107 .50283
.03108 .5030L
15
.48202
.03034
.49267
-+
4/18.48220
17
18
.48256
19
.48274
+4-
5/18.48292
21
.48309
22
.48327
228
48345
03035 8.49281
48238 .03037 .49302
.03038 .49320
.03039 .49337
.03040 | 8.49355
.03042 .49373
.03043 .49390
.03044 .49408
.03109 .50318
03111 | 8.50338
.03112 .50353
.03113
.03114 .50388
.03183 .51322
.03184 .51339
.03186 .51356
.03260 .52348
03338 47
.03261
.03263
.52365
03339
39 46
.52382
.03341 45
.031878.51374
.03264 | 8.52399
.03342 | 44
.03188 .51391
.03265
.52416
.03343 43
.50370
.031168.50405
.03117 .50422
.03118 .50440
.03119 .50457
.03189
.03191
.03192 | 8.51442
.03193
.03194
.51408
03266
.52433
.03344 42
.51425
.03268 .52450
.0334641·
.032698.52467
.033471 40
.51459
.03270 .52184
.03348 39
.51477
.03272 .52501
.03196 .51494
.03273 .52518
.0335038
03351| 37
-+-
6/18.48363 .030458.49425
.031218.50175
.031978.51511
.032748.52535
.03352 36
25
48381
26
.48399
27
48116
.03047 .49443 .03122 .50492
.02048 .49461 .03123 .50509
.03049 .49478 .03125 .50527
+
7/18.48434 .930508.49496
.031268.50544
29
48452 .03052 .49513 .03127 .50561
.03198 .51528
.03200 .51545
.03201 .51562
.03202 8.51580
.03204 .51597
.03275 .52552
.03277
.03278 .52585
.03354 | 35
.52569
.03355 34
.03356 33
.032798.52602
03358 | 32
.03281 .52619
.03359 31
30
.48470
31
.48488
.03053 .19531 .03128 .50579
.03054 .49518 .03130 .50596
.03205 .51614
.03206 .51631
.03282 .52636
.03283 .52653
.03360 30
.03361 29
+
8/18.48505 .030558.49566 .031318.50614
.032078.51648
.032858.52670
.03363 28
33
.48523
34
.48541
35
.48559
.03057 .49584 .03132 .50631
.03058 .49601 .03133 .50648
.03059 .49619
.03135 .50666
.03209 .51665
.03210 .51682
.03286 .52687
.03364 27

.03287 .52704
.03365 | 26
.03211 .51700 .03288 .52721
.03367 25
+
9/8.48576 .030608.49636
37
.48594
38
.48612
39
.48630
+
108.48648
41
48665
.03067
.49724
42
.48683
.03068
.49742
ڈرا
.48701
.03069
.49759
.03212 8.51717
.03062 .49654 .03137 .50700 .03214 .51734
.03063 .49671 .03138 .50718 .03215 .51751
.03064 .49689 .03140 .50735 .03216 .51768
.03065 | 8.49706 03141 8.50752 .03218 8.51785
.03142 .50770 .03219 .51802
.03144 .50787 .03220 .51819
.03145 .50804 .03221 .51836
.031368.50683
.032908.52738
.03368 | 24
.03291 .52755
.0336923
.03292
.03294 .52789
.52772
.03371 22
.03372 21
.032958.52806
.03373 20
.03296 .52822
.03375 19
.03298
.03299
.52839
.03376 18
.52856
.03377 17
+
11/18.48719
.03070 | 8.49777
.031468.50821
.032238.51854
45
.48736 .03072
.49794
46
47
48754 .03073 .49812
.18772 .03074
-+- 12/8.48789 .03075 | 8.49847
.03147 .50839
.03149
.49829
.03150
.50856
.50873
.03224 .51871
.03225 .51888
.03227 .51905
.03300 8.52873
.03301
.03303
.03379 | 16
.52890
.03380 15
.52907
.03381 14
.03304 .52924
.03382 13
.03151 | 8.5089 1.
.03228 | 8.51922
.033058.52941
.03384 | 12
49
.18807 .03077 49864
50
48825
51
.48843
+
138.
13′ 8.48860
53
48878
.03082
54
.48896
.03083
.03078 .49882
.03079 .49899
.03080 | 8.49917
.49934
.49952 .03159
.03152
.03154
.50908
.03229
.51939
.03307 .52958
.03385 11
.50925
.03230
.51956
.03308 .52974
.03386 10
.03155 .50913
.03232
.51973
.03309 .52991
.03388 9
.031568.50960
.03233 | 8.51990
.033118.53008
03389
.03157 .50977
.50991
55
.48914
.03084 .49969 .03160
.51012
+
14/8.48931 .030858.49987 .03161 | 8.51029
57
48949
.03087 .50004 .03163
58
59
.48967
.48984 .03089
.03088 .50022 .03164
50039 .03165
+158.49002
.03090 | 8.50056
.031668.51098
.03234
.03236 .52024
.03237 .52041 .03314 .53059 .03393
.03238 18.52058 .033168.53076 :03394
.51046
.03239 .52076 .03317 .53092
.51063 .03241 .52093
.03318 .53109
.51081 .03242 .52110 .03320
.03243 8.52127 .03321
.52007 .03312 .53025
.03390
.03313 .53042
.03392
4
.03396
.03397
.53126
.03398
N∞∞AGOV∞
8
7
5
3
1
8.53143
.03400
22h 39m
22h 35m
22h 38m
22h 36m
22h 37m

TABLE IV.
[Page 61
Haversines.
1h 25m 21° 15'
1h 26m 21° 30'
1h 27m 21° 45′
1h 28m 22° 0′
1h 29m 22° 15′
$
0
1
2
.53177
3
.53193
Log. Lav. Nat. Hav.
8.53143 .03400 8.54147
.53160 .03401 .54164
.03402 .54180
.03404 .54197
Log. Hav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. Ilav. Log. IIav. Nat. IIav.
.034798.55139
.03560
8.56120
.03480 .55156
.03482
.03483
55172
.03561
.03562
.56136
.03641
.03642
8.57089
.03723❘ 60
.57105
.03724 | 59
.56152
.03644 .57121
.03726 58
.55189
.03564 .56169
.03645 .57137
.03727 57
+ 18.53210
5
.53227
6
.53244
.53261
.03405 8.54214
.03406 .54230
.03408 .54247
.03409 .54263
.03484 | 8.55205
.03486
.03487
.55221
55238
.03488 .55254
+1
2/8.53277
.034108.54280
.034908.55271
.03565 8.56185
.03566 .56201 .03648 .57169
.03568 .56217 .03649 .57185 .03731 54
.03569 .56233 .03650 .57201 .03733 53
.03570 8.56250
.03646 | 8.57153
.0372856
.03730 | 55
.03652 8.57217
.03734 52
9
.53294
.03411 .54297
.03491 .55287
10
.53311
11
+
.53328
38.53345 .03415 8.54346
.03413 .54313
.03414 .54330
13
.53361
14
.53378
15
.53395
.03417 .54363
.03418 .54380
.03419 .54396
+ 48.53412
.034218.54413
17
.53429
18
.53445
.03423
19
.53462
.03425
+
58.53479
.03426
21
.53496 .03427
8.54479
.54496
.03492 .55303
.03494 .55320
.03495 8.55336
.03496 .55353
.03498 .55369
.03499 .55385
.03500 8.55402
.03422 .54429 .03502 .55418
.54446 .03503 .55435
.54462 .03504 .55451
.03506
.03572 .56266
.03573 .56282
.03574 .56298
.03653 .57233
.03735 51
.03654
.03656 .57266
.57230
.03737 50
.03738 49
.035768.56315
.036578.57282
.03740 48
.03577 .56331
.03578 .56347
.03580 .56363
.03659 .57298
.03660
.03661 .57330
.03741 47
.57314
.03742 46
.03744 45
.035818.56379
.036638.57346
.03745 44
.03582 .56396
.03584 .56412
.03585 .56428
.03664 .57362
.03665
.03667 .57394
.03746 43
.57378
.03748 42
.03749 41
8.55467
.035878.56444
.036688.57410
.03751 40
.03507
.55484 .03588 .56460
.03669 .57426
.03752 39
22
.53512
23
.53529
.03429 .54512
.03430 .54529
.03509 .55500 .03589
.03510 .55516
.56477
.03671
.57442
.03753 38
.03591
.56493
.03672 .57458
.03755 37
+
68.53546 .034318.54545
.035118.55533
.03592
8.56509
.036748.57474
.03756 36
25
26
27
+
29
80
31
+
33
34
85
.53563 .03433 .54562 .03513 .55549
.53580 .03434 .54578 .03514 .55566
.53596 .03435 .54595 .03515 .55582
78.53613 .03437 8.54612
.53630 .03438 .54628
.53646 .03439 .54645
.53663 .03441 .54661
8/18.53680 .03442 8.54678
.53697 .03443 .54694 .03523 .55680
.53713 .03445 .54711 .03525 .55696
.53730 .03446 .54727 .03526 .55713
.035178.55598
.035978.56574
.03518 .55615
.03519 .55631
.03521 .55647
.03599 .56590
.03600
.03593 .56525 .03675 .57490
.03595 .56541 .03676
.03596 .56557 .03678
.03679 8.57538
.03680 .57554
.03757 35
.57506
.03759 34
.57522
.03760 33
.03762 32
.03763 81
.56606
.03682 .57570
.03764 30
.03601 .56622
.03683 .57585
.03766 29
.035228.55664
.036038.56638
.036858.57601
.03767 28
.03604 .56654
.03605 .56670
.03607 .56687
.03686 .57617
.03687
.03689 .57649
.03769 27
.57633
.03770 26

.03771 25
+
9/8.53747
.034478.54744
3888888
37
39
.03527 8.55729
.53764 .03449 .54760 .03529 .55745
.53780 .03450 .54777 .03530 .55762
.53797 .03451 .54793 .03531 .55778
.036088.56703
.036908.57665
.03773 24
.03610 .56719
.03611 .56735
.03612 .56751
.03691 .57681
.03774 23
+ 108.538.14
41
42
43
.034538.54810 .03533 8.55794
.53830 .03454 .54826 .03534 .55811
.53847 .03455 .54843 .03535
.53864 .03457 .54859 .03537
.03614 8.56767
.03693 .57697
.03694
.03695 8.57729
.03775 22
.57713
.03777 21
.03778 20
.55827
.03615
.03616
.56783
.56799
.03697 .57745
.03780 19
.03698 .57761
.03781 18
.55843
.03618 .56816
.03700 .57777
.03782 17
+118.53880 .03448 8.54876
.03538
8.55859
.036198.56832
.037018.57793
.03784 16
45
.53897 .03459 .54892
.03539
46
47
.53914 .03460 .54909
.53930 .03462 .54925
+128.53947
49
50
51
53
54
55
.03463 | 8.54942
.53964 .03464 .54958
.53980 .03466 .54975
.53997 .03467 .54991
+13' 8.54014 .03468 8.55008
.54030 .03470 .55024
.54047 .03471 .55041
.45064 .03472 .55057
.55876 .03620 .56848
.03541 .55892 .03622 .56864
.03542 .55908 .03623 .56880
.03543 | 8.55925
.03545 55941
.03546 .55957
.03547 .55973
.03702 .57809
.03704
.03705 .57841
.03785 15
.57825
03787 14
.03788 13
.036248.56896
.037068.57856
.03789 12
.03626 .56912
.03627 56928
.03629 .56944
.03708 .57872
.03791 11
.03709 .57888
.03711 .57904
.03792 10
.03794 9
.035498.55990
.036308.56960
.037128.57920
.03795
.03550 56006
.03551 .56022
.03553 .56039
+148.54080 .034748.55073
.035548.56055
5'7
58
.54114
59
.54130 .03478
15
8.54147
.034798.55139
.54097 .03475 .55090 .03555 .56071
.03476 .55106 .03557
.55123 .03558
.03560
.03631 56977
.03633 .56993
.03634 .57009
.03635 | 8.57025 .037178.57984 .03800
.03637 .57041 .03719 .58000 .03802
.56087 .03638 .57057 .03720 .58015 .03803
.56104 .03639 .57073 .03722 .58031 .03805
8.56120 .036418.57089 .03723 8.58047 .03806
.03713 .57936 .03796
.03715 57952 .03798
.03716 .57968 .03799 5
ry
420COAGON CO
8
6
1
0
22h 34m
22h 30m
22h 33m
goh 31m
22h 32m

Page 62]
TABLE IV.
S
Haversines.
1h 30m 22° 30'
1h 31m 22° 45′
1h 32m 23° 0′
1h 33m 23° 15'
1h 34m 23° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
8
0323g
1
8.58047 .03806 8.58994
.58063 .03807 .59010
.03890 8.59931
.03975 8.60857
.04060 8.61773
.04147 60
.03891
.59947
.03976 .60873
.04062 61789
.04148 59
+
.58079 .03809
.58095
1' 18.58111
.59026
.03893
.59962
.03810
.59042
.03894
.59978
.03978 .60888
.03979 .60903
.04063 .61804
.04150 | 58
.04065
.61819
.04151 57
5
6
ry
.03812 8.59057
.58127 .03813 .59073
.58142 .03814
.58158
.03816 .59104
+ 2/8.58174
.038178.59120
9
.58190
10
.58206
11
.58222
.03819 .59136
.03820 .59151
.03821 .59167
.03896 8.59993
.03897 .60009
.59089 .03898 .60024
.03900 .60040
.03901 | 8.60055
.03903 .60071
.03904 .60086
.03905 .60102
.039808.60919
.04066
8.61834
.04153 | 56
.03982 .60934
.03983 .60949
.03985 .60965
.03986 8.60980
.03988
.03989 .61011
.03990 .61026
.04068 .61849
.04154 55
.04069 .61864
.04156 54
.04070 .61880
.04072 8.61895
.04157 58
.04159 52
.60995
.04073 .61910
.04075 .61925
.04076 .61940
.04160 51
+
3/18.58238 .038238.59183 .03907 8.60117
.039928.61041
.040788.61955
.04162 50
04163 49
.04164 48
13
.58253
14
.58269
15
.58285
+
48.58301
17
.03824 .59198 .03908 .60133
.03826 .59214 .03910 .60148
.03827 .59230 .03911 .60164
.03828 8.59245
.58317 .03830 .59261
.03912 | 8.60179
.03914
.60195
18
19
.58333 .03831 .59277
.58348 .03833 .59292
.03915
.60210
.03993 .61057
.03995 .61072
.03996 .61087
.03998 8.61103
.03999 .61118
.04000 .61133
.04079 .61971
.04081
.04082 .62001
.04166 47
.61986
.04167 46
.04169 45
.040838.62016
.04170 44
.04085 .62031
.04172 43
.04086
.62046
04173 42
+
5'8.58364 .038348.59308
21
22
.58380
.58396
23
.58412
.03917 .60226 .04002 .61149
.03918 8.60241
.03835 .59323 .03920 .60256
.03837 .59339 .03921 .60272
.03838 .59355 .03922 .60287
.04088
.62061
.04175 41
.04003 8.61164
.04089
8.62077
.04176 40
.04005 .61179
.04091
.62092
.04177 39
.04006 .61194
.04007 .61210
.04092
.62107
.04179 38
.04094 .62122 .04180 37
+
68.58427
.03839 8.59370
.039248.60303
.040098.61225
.04095 8.62137
.04182 | 36
25
.58443
.03841 .59386
26
.58459
27
.58475
.03844 .59417
+
8.58491
.03842.59402
.038458.59433
&.
29
.58506
.03846 ..59448
80
.58522
31
.58538
.03848 .59464
.03849 .59480
+
8' 8.58554
.038518.59495
33
.58570
•
34
35
.58585
.58601
"
+1
9
8.58617
.038568.59558
37
.58633
.03858 .59573
38
.58648
.03859.59589
39
.58664
.03860 ´.59604
.04010 .61240
.04012 .61256
.04013 .61271
.04015 8.61286
.04016 .61301
.04017 .61317
.03934 .60411 .04019 .61332
.03935 8.60426 .04020 8.61347
.03852 .59511 .03936 .60442 .04022 .61362
.03853 .59527 .03938 .60457 .04023 .61378
.03855 .59542 .03939 .60473 .04025 .61393
.03941 8.60488
.03942 .60504
.03944 .60519
.03945 .60534
.03925 .60318
.03927 .60334
.03928 .60349
.03929 | 8.60365
.03931 .60380
.03932.60396
.04096 .62152
.04098
.04099 .62182
.04101 8.62197
.04102 .62213
.04104 .62228
:04105 .62243
.04183 | 35
.62167
.04185 34
.04186 33
.04188 32
.04189 31
.04191 30
.04192 29
.041068.62258
.04194 28
.04108 .62273
.04109
.04111 .62303
.04195 27

.62288
.04196 26
.04198 25
.040268.61408
.041128.62318
.04199 24
.0402% .61423
.04029
.04030 .61454
.04114 .62333
.04201 23
.61439
.04115 .62348
.04202 22
.04117 .62363
.04204 21
+ 108.58680
41
42
43
.03862 8.59620
.58696 .03863 .59636
.58711 .03865 .59651
.58727 .03866 .59667
.039468.60550
.040328.61469
+
118.58743 .038678.59682
45
.58759
46
47
.58774
.58790
+ 12
8.58806
49
50
51
+
13' 8.58869
.03879 | 8.59807
53
.58885
54
.58900
.03882
55
.58916
.03883
+
14' 8.58932
.03880 .59822
.59838
.59853
.03884 | 5.59869
.03948 .60565
.03949 .60581
.03951 .60596
.03952 | 8.60611
.03869 .59698 .03953 .60627
.03870 .59714 .03955 .60642
.03872 .59729 .03956 .60658
.03873 8.59745 .03958 8.60673
.58822 .03875 .59760 .03959 .60688
.58837 .03876 .59776 .03961 .60704
.58853 .03877 .59791 .03962 .60719
.03963 8.60734
.03965 .60750
.03966 .60765
.03968 .60781
.04033 .61484
.04035 .61500
.04036 .61515
.04118 8.62379
.04119 .62394
.04121 .62409
.04122 .62424
.04205 | 20
.04207 19
.04208 18
.04210 | 17
.040388.61530 .041248.62439
.04211 16
.04039 .61545
.04040 .61561
.04042 .61576
.04125 .62454
.04212 15
.04127 .62469
.04214 14
.04128 .62484 .04215 18
.040438.61591
04130 8.62499
.04217 12
.039698.60796
57
.58947
.03886
58
.58963 .03887
59
+158.58994
.041358.62559 .04223
.04137 .62574 .04224 7
.04138 .62589 .04226
.04140 .62604 .04227
.04141 8.62619 .04229
.59885 .03971 .60811 .04056 .61728 .04143 .62634 .04230 3
.59900 .03972 .60827 .04058 .61743 .04144 .62649 .04232 2
.58979 .03889 .59916 .03973 .60842 .04059 .61.758 .04146 .62664 .04233 1
.03890 8.59931 .03975 8.60857 .04060 8.61773 .04147 8.62680 .04234 0
.04045 .61606
.04046 .61621
.04048 .61637
.04049 8.61652
.04050 .61667
.04052 .61682
.04053 .61697
.04131 .62514
.04218 11
.04133 .62529
.04134 .62544
.04220 10
.04221 9
8
265
.040558.61713
4
22h 29m
22h 25m
22h 28m
22h 26m
22h 27m

TABLE IV.
[Page 63
Haversines.
1h 35m 23° 45'
6
1h 36m 24° 0′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
1h 37m 24° 15'
1h 38m 24° 30'
1h 39m 24° 45′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
0
Confed
1
2
.62710 .04237
3
.62725 .04239
+
1' 18.62740
.04240 8.63635
567
.62755
.62770
.62785
8.62680 .04234 8.63576 .04323
.62695 .04236 .63591 .04324
.63606 .04326 .64492
.63620 .04327 .64507
.04329 8.64521
.04242 .63650 .04330
.04243 .63665 .04332
.04245 .63680 .04333
8.64463
.64477
.04412
.04413
8.65340 .04502
.65355 .04503
8.66208
.66223
.0459360
.04594 59
.64536
.04415 .65369
.04416 .65384
.04418 8.65398
.04419 .65413
.04505 .66237
.04506 .66251
.04596 58
.04597 | 57
.045088.66266
.04599 56
.04509 .66280
.04600 55
.64551
.04421 .65427
.04511 .66295
.04602 54
.64565
.04422 .65442
.04512 .66309
.04604 53
+
28.62800
.04246 8.63695
.04335
8.64580
.044248.65456
.04514 8.66323
.04605 52
9
.62815
.04248
.63709
.04336
.64595
.04425 .65471
.04516 .66338
.04607 51
10
.62830
.04249 .63724
.04338
.64609
11
.62845 .04251 .63739
.04339
.64624
+
38.62860
.042528.63754
.04340
8.64639
344
13
14
15
+
48.62919
.62875 .04253 .63769
.62890 .04255 .63784
.62904 .04256 .63798
.04258 8.63813
.04342
.64653
.04343 .64668
.04345 .64683
.04427 .65485
.04428 .65500
.04430 8.65514
.04431 .65529
.04433 .65543
.04434 .65558
.04517 .66352
04608 | 50
.04519 .66366
.04610 49
.045208.66381
.04611 48
.04522 .66395
.04523
.04525 .66424
.04613 47
.66409
.04614 | 46
.04616 45
.043468.64697
.044368.65572
.045268.66438
.04617 44
17
18
19
+1
58.62979
21
.63887 .04354
22
.63009 .04267 .63902 .04355
23
.63024 .04268 .63917 .04357
+
6' 8.63039
.04270 8.63932
.043588.64815
25
26
27
+
8.63099
.042768.63991
.043648.64873
29
.63114
30
.63129
31
.63144
+
8/18.63159
.042818.64050
33
.63174
34
.63189
35
+
98.63218 .04287
8.64109
37
.63233 .04289
.64124
38
89
.63248 .04290 .64139
.63263 .04292 .64153
.62934 .04259 .63828 .04348 .64712 .04437 .65587
.62949 .04261 .63843 .04349 .64727 .04439 .65601
.62964 .04262 .63858 .04351 .64741 .04440 .65616
.04264 8.63872 .043528.64756 .04442 8.65630
.62994 .04265
.64771 .04443 .65645
.64785 .04445 .65659
.64800 .04446 .65674
.04448 8.65688
.63054 .04271 .63946 .04360 .64829 .04449 .65703
.63069 .04273 .63961 .04361 .64844 .04451 .65717
.63084 .04274 .63976 .04363 .64859 .04452 .65732 .04543
.04454 8.65746 .04544 8.66610
.04277 .64006 .04366 .64888 .04455 .65761 .04546 .66625
.04278 .64020 .04367 .64902 .04457 .65775 .04547
.04280 .64035 .04369 .64917 .04458 .65790 .04549
.04370 8.64932 .04460 8.65804 04550 8.66668
.04283 .64065 .04372 .64946 .04461
.04284 .64079 .04373 .64961 .04463 .65833
.63204 .04286 .64094 .04375 .64976 .04464 .65848
.04376 8.64990
.04378 .65005
.04379 .65019
.04381 .65034
.04528 .66453
.04529
.04619 43
.66467
.04620 | 42
.04531 .66481
.04622 41
.045328.66496
.04623 40
.04534 .66510
.04625 | 39
.04535
.66524
.04626 38
.04537
.66539
.04628 | 37
.04538 8.66553
.04629 36
.04540 .66567
.04631 35
.04541 .66582
.04633 34
.66596
.04634 33
.04636 | 32
.04637 31
.66639
.66653
.04639 30
.0464029
.04642 | 28
.65819
.04552
.04553
.66682
.04643 | 27

.66696
.0464526
.04555 .66710
.04646 25
.044668.65862
.045568.66725
.04648 24
.04467 .65876
.04469 .65891
.04470 .65905
+108.63278 .042938.64168
.043828.65049
.044728.65920
41
42
43
118.63338
45
46
47
.63293 .04295 .64183
.63308 .04296 .64198 .04385
.63323 .04298 .64212 .04387
.04299 8.64227 .04388
.63353 .04301 .64242 .04390
.63368 .04302 .64257
.63382 .04304 .64271
.04384 .65063
+128.63397
.04305 | 8.64286
49
.63412 .04306
.64301
50
51
53
G&
54
55
.63427 .04308 .64315
.63442 .04309 .64330
+138.63457 .043118.64345
.63472 .04312 .64360 .04401
.63487 .04314 .64374 .04403
.63502 .04315 .64389 .04404
57
58
.04473 .65934
.65078 .04475 .65949
.65092 .04476
8.65107 .04478 8.65978
.65122 .04479 .65992
.04391 .65136 .04481 .66006
.04393 .65151 .04482 .66021 .04573
.04394 8.65165
.04395 .65180 .04485 .66050
.04397 .65194 .04487 .66064 .04578
.04398 .65209 .04488 .66079 .04579 .66939
.04400 8.65224 .04490 8.66093 .04581 8.66953 .04672 8
.65238 .04491 .66107 .04582 .66968 .04674
.65253 .04493 .66122 .04584 .66982
.65267 .04494 .66136 .04585 .66996
+148.63516 .043178.64404 .04405 8.65282 .04496 8.66151 .04587 8.67010 .04678 4
.63531 .04318 .64418 .04407 .65296 .04497 .66165 .04588 .67025 .04680
.63546 .04320 .64433 .04409 .65311 .04499 .66179 .04590 .67039 .04682
59 .63561 .04321 .64448 .04410 .65325 .04500 .66194 .04591 .67053 .04683
+15 8.63576 .04323 8.64463 .04412 8.65340
.04593 8.67067
.04558 .66739
.04559
.04561 .66768
.04562 8.66782
.04564 .66796
.04565 .66811
.04649 23
.66753
.04651 22
.04652 21
.04654 20
.04655 19
.04657 18
.65963 .04567
.66825
.04659 17
.04569 8.66839
.04660 16
.04570
.66853
.04662 15
.04572
.66868
.04663 14
.66882
.04665 13
.04484 8.66035 .04575 8.66896
.04666 12
.04576 .66911
.04668 11
.66925
.04669 | 10
.04671 9
.04675 6
.04677 5
.045028.66208
.04685 0
22h 24m
22h 20m
22h 23m
22h 21m
22h 22m

Page 64]
TABLE IV.
Haversines.
1h 40m 25° 0'
1h 41m 25° 15′
1h 42m 25° 30'
1h 43m 25° 45'
1h 44m 26° 0'
co
0
123
+
667
5
+
28.67181
9
.67196
10
.67210
11
.67224
8.67067 .04685 8.67918
.67082 .04686 .67932
.67096 .04688 .67946
.67110 .04689 .67960
18.67124 .04691 8.67974
.67139 .04692 .67988
.67153 .04694 .68002
.67167 .04695 .68016
.04697 8.68030
.04698 .68045
.04700 .68059
.04702 .68073
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.s
.047778.68760 .04871 8.69593
.04779 .68773 .04872 .69607
.04780 .68787 .04874 .69620
.04782 .68801 .04875 .69634
.04965
.04967
8.70418
.05060 | 60
.70431
.05062 59
.04968
.70445
.05063 58
.04970 .70459
.05065 57
.047838.68815
.048778.69648
.049718.70472
.05067 | 56
.04785 .68829
.04787 .68843
.04788 .68857
.04790 | 8.68871
.04791 .68885
.04793 .68899
.04794 .68913
.04879 .69662
.04880 .69676
.04882 .69690
.04973 .70486
.04975
.04976 .70513
.05068 55
.70500
.05070 54
.0507153
.048838.69703
.049788.70527
.05073 52
.04885 .69717
.04886
.04979 .70541
.05075 51
.69731
.04981
.70554
.05076 50
.04888
.69745
.04982
.70568 .05078 49
+
3/8.67238
.047038.68087
.047968.68927
.04890 8.69758
.04984
8.70582
.05079 48
13
.67252
.04705 .68101
.04797 .68941
14
.67267
.04706 .68115
.04799
15
.67281
.04708
.68129
.04801
+
48.67295
17
.67309
18
.67323
19
.67338
.04709 8.68143
.04711 .68157
.04712 .68171
.04714 .68185
.04891 .69772
.68955 .04893 .69786
.68969 | .04894 .69800
.04802 | 8.68983 .04896 8.69814
.04804 .68996
.04805 .69010
.04986
.70595
.0508147
.04987 .70609
.05083 46
.04989
.04990 8.70636
.70623
.05084 45
.05086 44
.04897
.69827
.04992 .70650
.0508743
.04899
.69841
.04994
.70664
.05089 | 42
.04807 .69024
.04901
.69855
.04995 .70677
.05091 41
+
5/8.67352 .04715 8.68199
.04808 8.69038
.04902 | 8.69869
.049978.70691
.05092 40
21
.67366 .04717 .68213
.04810 .69052
22
.67380
23
.67394
.04718
.04720 .68241
.68227
.04811 .69066
.04813 .69080
+1
68.67409
.04722 | 8.68256
.04815 8.69094
25
.04723 .68270
26
27
+
29
30
31
+
ထိုင်း
33
34
35
+
37
38
39
588
.67423
.67437 .04725 .68284
.67451 .04726 .68298
8.67465 .04728 8.68312 .048218.69149
.67480 .04729 .68326 .04822 .69163
.67494 .04731 .68340 .04824 .69177
.67508 .04732 .68354 .04825 .69191
8/18.67522 .04734 8.68368 .04827 8.69205
.67536 .04735 ..68382 .04829 .69219
.67550 .04737 .68396 .04830 .69233
.67565 .04739 .68410
98.67579 .04740 8.68424
.67593 .04742 68438
.67607 .04743 .68452
.67621 .04745 ..68466
.04816 .69108
.04818 .69122
.04819 .69136
.04904 .69882
.04905 .69896
.04907 .69910
.04908 8.69924 .05003 8.70745
.04910 .69937
.04912 .69951
.04913 .69965
.04915 8.69979
.04916 .69992
.04918 .70006
.04919 .70020
.04998 .70704
.05094 39

.05000 .70718
.05095 38
.05001 .70732
.05097 37
.05099 36
.05005 .70759
.05006
.05008 .70786
.05100 35
.70773
.05102 34
.05104 33
.05009 8.70800
.05105 32
.0501170813
.05107 31
.05013 .70827
.05108 30
.05014 .70841
.05110 29
.049218.70034
.05016 8.70854
.05111 | 28
.04832 .69247
.04923 .70047
.04924 .70061
.04926 .70075
.05017
.05019
.70868
.05113 27
.70881
.05115 26
.05021 .70895
.05116 25
.04833 18.69260
.04927 8.70089
.050228.70909
.05118 24
+
108.67635
.047468.68480
41
.67649
.04748 .68494
.04841
.04835 .69274 .04929 .70102
.04836 .69288 .04930 .70116
.04838 .69302 .04932 .70130 .05027
.04839 8.69316 .04934 8.70144
.69330
.05024 .70922
.05119 23
.05025 .70936
.05121 22
.70949
.05123 21
.05028
8.70963
.05124 20
.04935 .70157
.05030
.70977
.05126 19
42
43
.67664
.67678
.04749 .68508 .04843 .69344
.04751 .68522 .04844 .69358
+
11/8.67692 .04752 8.68536 .04846 8.69371
45
46
47
.67706 .04754 .68550
.67720 .04756 .68564
.67734 .04757 .68578
.04847 .69385
.04849 .69399
.04850 .69413
.04937 .70171
.04938 .70185 .05033
.04940 8.70198
.04941 .70212
.04943 .70226
.04945 .70240
.05032
.70990
.05127 18
.71004
.05129 17
.05035 8.71017
.05131 16
.05036
.71031
.05132 | 15
.05038
.71045
.05134 14
.05040 .71058
.05135 13
+
12/8.67748
49
.67763
50
.67777
51
.67791
.04759 8.68592
.04760 .68606 .04854 .69441
.04762 .68620 .04855 .69454
.04763 .68634 .04857 .69468
.048528.69427
.04946 8.70253 .05041 8.71072
.04948 .70267 .05043 71085
.04949 .70281
.04951 .70294
.05137 12
.05139 11
+
13' 8.67805
.047658.68648 .048588.69482
.049528.70308
53
.67819 .04766
54
.67833 .04768
55
.67847
+
14 8.67861
57
.67875
.04773 .68718
58
.67890
.04774 .68732
59
.67904
.04776 .68746
+ 158.67918
.047778.68760 .048718.69593
.68662 .04860 .69496
.68676 .04861 .69510 .04956
.04769 .68690 .04863 .69524 .04957
.04771 8.68704
.04959
.04866 .69551 .04960
.04868 .69565 .04962
.04869 .69579 .04964
.04965
.04954 .70322
.05044 .71099 .05140 10
.05046 .71112 .05142 9
.05048 8.71126 .05144
.05049
.71140 .05145
.048648.69537
.050608.71234
.70336 .05051 .71153 .05147 6
.70349 .05052 .71167 .05148
.05054 8.71180
8.70363
.05150
.70377 .05055 .71194 .05152 3
.70390 .05057 .71207 .05153 2
.05059
.70404
.71221 .05155 1
8.70418
0
∞ 2 COLO
8
5
4
.05156
22h 19m
22h 15m
22h 18m
22h 16m
22h 17m

TABLE IV.
[Page 65
Haversines.
1h 45m 26° 15′
Log. Hav. Nat. Hav. Log. Hav Nat. Hav.
1h 46m 26° 30'
1h 47m 26° 45′
Log. Hav. Nat. Hav.
0
1
+
co 20
3
18.71289
8.71234 .05156 | 8.72043 .05253 8.72844
.71248 .05158 .72057 .05255 .72857
.71261 .05160 .72070 .05257 .72871
.71275 .05161 .72083 .05258 .72884
.05163 8.72097
1h 48m 27° 0
Log. Hav. Nat. Hav.
.05351 8.73637 .05450
.05353 .73650 .05451
.05354 .73663
1h 49m 27° 15′
Log. Hav. Nat. Hav.
8.74423
.74436
.05549 60
.0555159
.05453 .74449
.05552 | 58
.05356 .73677
.05455 .74462
.05554 57
.05260 8.72897
.053588.73690
.05456 8.74475
.05556 | 56
567
.71302 .05164 .72110
.71316 .05166 .72124
.71329 ..05168 .72137
.05261
.72910
.05359 .73703
.05458 .74488
.05557 55
.05263
.72924
.05265
.72937
.05361
.05363 .73729
.73716
.05460 .74501
.05559 54
.05461 .74514
.05561 53
+
28.71343
9
10
11
+
38.71397
13
.71410
14
.71424
15
+
.71437
48.71451
17
18
19
+
.05169 8.72150 .05266 8.72950
.71356 .05171 .72164 .05268 .72963
.71370 .05172 .72177 .05270 .72977
.71383 .05174 .72191 .05271 .72990
.05176 8.72204 .05273 8.73003
.05177 .72217 .05274 .73016
.05179 .72231 .05276 .73030
.05181 .72244 .05278 .73043
.05182 8.72257 .05279 8.73056
.71464 .05184 .72271 .05281 .73069
.71478 .05185 .72284 .05283 .73083
.71491 .05187 .72298 .05284 .73096
58.71505 .05189 8.72311 .05286 8.73109
.053648.73742
.05366 .73755
.05367
.05369 .73782
.05463
.05464
8.74527
.05562 | 52
.74540
.0556451
.73769
.05466 .74553
.05566 | 50
.05468 .74566
.05567 49
.053718.73795
.05470 | 8.74579
.05569 48
.05372 .73808
.05374 .73821
.05376 .73834
.053778.73847
21
22
23
+
6'
25
.71518 .05190 .72324
.71532 .05192 .72338
.71545 .05193
8.71559 .05195
.71572
.05287 .73122
26
.71586
27
+1
29
30
31
+ 8
33
34
35
H+
9/8.71721
37
38
39
+ 10
41
42
.05289 .73136
.72351 .05291 .73149
8.72364 .05292 8.73162
.05197 .72378 .05294 .73175
.05198 .72391 .05296 .73189
.71599 .05200 .72404 .05297 .73202
8.71613 .05201 8.72418
.71626 .05203 .72431
.71640 .05205 .72445
.71653 .05206 .72458 .05304 .73255
8.71667 .05208 8.72471 .05305 8.73268
.71680 .05210 .72485 .05307 .73281
.71694 .05211 .72498 .05309 .73294
.71707 .05213 .72511 .05310 .73308
.05214 8.72525 .05312 8.73321
.71734 .05216 .72538 .05314 .73334
.71748 .05218 .72551 .05315 .73347
.71761 .05219 .72565 .05317 .73360
10/ 8.71774 .05221 8.72578
.71788 .05222 .72591
.71801 .05224 .72605
43 .71815 .05226 .72618
+11 8.71828
.05379 .73860
.05381 .73874
.05382 .73887
.05384 8.73900
.05385 .73913
.05387 .73926
.05389 .73939
.05390 8.73952
.05471 .74592
.05473 .74605
.05474 .74618
.05476 8.74631
.05478 .74644
.05479 .74657
.05481 .74670
.05571 47
.0557246
.05574 45
.05576 44
.054838.74683
.05484 .74696
.05486 .74709
.05488
.05577 43
.0557942
.05581 41
.0558240
.05584 39
.05586 38
.74722
.05587 37
.05489
8.74735
.05589 | 36
.052998.73215
.05300 .73228
.05302 .73241
.05394
.05395
.05397 8.74005
.05399 .74018
.05400 .74031
.05402 .74044
.054048.74057
.05405 .74070
.05407 .74083
.05392 .73965
.73978 .05493 .74761
.73992 .05494 .74774
.05496 8.74787
.05498 .74800
.05499 .74813
.05501 .74826
.05503 8.74839
.05504 .74852
.05506 .74864
.05491
.74748
.05591 | 35
.05593 34
.05594 33
.05596 32
.05597 31
.05599 30
.0560129
.05603 28
.05604 27
.05606 | 26

.05408
.05410
.74096
8.74109
.05508 .74877
.05607 25
.05509 8.74890
.05609 24
.053188.73374
.05412 .74122
.05413 .74135
.05415 .74149
.05417 8.74162 .055168.74942
.05320 .73387 .05418 .74175
.05322 .73400 .05420 .74188
.05323 .73413 .05422 .74201
.05511 .74903
.05611 23
.05513.74916
.05613 22
.05514 .74929
.05614 21
.05616 20
.05518 .74955
.05618 19
.05519 .74968
.05619 18
.05521 .74981
.05621.17
.052278.72631
.053258.73426
.054238.74214
.055238.74994
.05623 16
45
.71842
.05229 .72644
.05326 .73440 .05425 .74227
.05524 .75007
.05624 15
46
.71855
.05231 .72658
47
.71869
.05232.72671
.05328 .73453 .05427 .74240 .05526 .75020
.05330 .73466
.05626 14
.05428 .74253 .05528 .75033
.05628 13
+128.71882
49
.71895
.05234 8.72684
.05235 .72698
50
51
+138.71936
53
54
.05244.72764
55
+
57
58
59
+15
22h 14m
.053518.73637
22h 13m
22h 12m
.71909
.71922 .05239 .72724
.05240 8.72738
.71949 .05242 .72751
.05237.72711
.05245 .72778
.71963
.71976
.05441 .74357 .05541 .75136 .05641
14/8.71989 .05247 8.72791
.05443 8.74371 .05542 8.75149 .05643
.72003 .05248 .72804 .05346 .73598 .05445 .74384 .05544 .75162 .05644
.72016 .05250 .72817 .05348 .73611 .05446 .74397 .05546 .75175 .05646
.72030 .05252 .72831 .05349 .73624 .05448 .74410 .05547 .75188 .05648
8.72043 .05253 8.72844
.05450 8.74423
.05336
.05338 8.73532
.05340 .73545
.05341 .73558
.05343 .73571
.05438
.05440
.74331
.74344
.0553* .75110 .05638
.05539 .75123 .05639
.053458.73584
.053318.73479
.05333 .73492
.05335.73505
.05430 8.74266
.05431.74279
.05433 .74292
.73519 .05435 .74305
"
.05529 8.75046
.05531 .75059 .05631 11
..05533 .75072 .05633 10
.05534 .75084 .05634 9
.05436 8.74318 .055368.75097 .05636 8
.05629 12
2
1
.055498.75201
.05649
0
22h 11m
22h 10m
7664∞ ∞ T
5
63355°—17———5

Page 66]
TABLE IV.
Haversines.
1h 51m 27° 45'
1h 52m 28° 0' 1h 53m 28° 15′
1h 50m 270 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
1h 54m 28° 30'
S
Log. Hav. Nat. Hav.
0
8.75201
1
.05649
.75214 .05651
2
.75227
.05653
3
.75239
.05655
8.75972 .05751 8.76735
.75984 .05752 .76748
.75997 .05754 .76760
.76010 .05756 .76773
+1
1'8.75252
.05656
8.76023
.05757 8.76786
5
.75265
.05658
.76035
.05759 .76798
6
.75278
.05660
.76048
.05761 76811
7
.75291
.05661
.76061
.05762 .76824
+ 2/
8.75304
.05663 8.76074
.057648.76836
9
.75317 .05665 .76086
.05766 .76849
10
11
.75330
.75343
+
3'
8.75355
13
.75368
.05666 .76099
.05668 .76112
.05670 8.76125
.05671
.05768 .76862
.05769
.05771
.76138 .05773
.76900
.058538.77492
.05854 .77504
.05856 .77517
.05858 .77529
.05859 8.77542
.05861 .77554
.05863 .77567
.05865 .77579
.05866 8.77592
.05868 .77604
.05870 .77617
.76874 .05871 .77630
8.76887 .05873 8.77642
.05875 .77655
.05955
.05957
8.78241
.78254
.06059 | 60
.06061 59
.05959 .78266
.06063 58
.05961 .78278
.05962 8.78291
.05964 .78303
.05966 .78316
.06064 57
.06066 56
.06068 55
.06070 54
.05968 .78328
.06071 53
.05969 | 8.78341
.05971 .78353
.05973 .78365
.05974
.05976 8.78390
.06073 52
.06075 51
.06077 50
.78378 .06078 49
.06080 48
.05978 .78403
.0608247
14
.75381
.05673 .76150
.05774
.76912
.05877 .77667
.05980
.78415
.06083 46
15
.75394
.05675 .76163
.05776
.76925
.05878 .77680
.05981 .78428
.06085 45
+ 4'
8.75407
.05676 8.76176
.05778 8.76938
.05880 8.77692
.05983 8.78440
.06087 44
17
18
19
+ 5'
.75420 .05678 .76189 .05779
.75433 .05680 .76201
.75446 .05681 .76214
8.75458
.76950
.05781 .76963
.05783 .76975
.05882 .77705
.05883
.05885
.05985 .78452
.06089 43
.05683 8.76227
.05785 8.76988
.05887
21
22
23
+ 6'
25
26
27
+
78.75561
29
30
.75471 .05685 .76240 .05786 .77001
.75484 .05686 .76252 .05788 .77013
.75497 .05688 .76265 .05790 .77026
8.75510 .05690 8.76278 .05791 8.77039
.75523 .05691 .76291 .05793 .77051
.75536 .05693 .76303 .05795 .77064
.75548 .05695 .76316 .05796 .77076
.05697 8.76329
.75574 .05698 .76341
.75587 .05700 .76354
.05888 .77755
.05890 .77767
.77717 .05986 .78465
.77730 .05988
8.77742 .05990 8.78490
.05992 .78502
.05993 .78514
.06090 42
.78477
.96092 41
.0609440
.06096 39
.06097 38
.05892
.05894
.05895 .77805
.77780
8.77792 .05997 8.78539
.05995 .78527
.06099 37
.06101 36
.05999 .78551
.06103 35
.05897 .77817
.06000 .78564
.06104 84
.05899 .77830 .06002
.78576
.06106 33
.057988.77089
.05901 8.77842
.06004
8.78589
.06108 32
.05800 .77102
.05902 .77855
.06005
.78601
.06110 31
.05802
.77114
.05904 .77867
.06007
.78613
.06111 30
31
.75600 .05702 .76367
.05803
.77127
.05906
.77880 .06009
.78626
.06113 29
+ 8'
8.75613
.05703 8.76380
.05805
8.77139
.05907 8.77892
.06011 8.78638
.06115 28
33
.75626 .05705 .76392
.05807
.77152
.05909 .77905
.06012 .78651
.06117 27
34
.75638
35
.75651
.05707 .76405
.05708 .76418
.05808
.77165
.05911 .77917
.06014 .78663
.06118 26

.05810
.77177
.05913 .77930
.06016 .78675
.06120 25
+
98.75664
.057108.76431
37
.75677
38
39
.05812 8.77190
.05712 .76443 .05813 .77202
.75690 .05713 .76456 .05815
.75703 .05715 .76469 .05817
.059148.77942
.060188.78688
.06122 24
.77215
.05916 .77955
.05918 .77967
.06019 .78700
.06021 .78712
.06124 23
.06125 22
.77228
.05919 .77980
.06023 .78725
.06127 21
+108.75715
41
42
43
+11
.05724 | 8.76532
45
.75779 .05725
.76545
.05827
46
47
.75792 .05727 .76558
.75805
.05829
.05729 .76570
.05830
.05717 8.76481 .05819
.75728 .05718 .76494 .05820 .77253 .05923 .78005
.75741 .05720 .76507 .05822 .77265 .05925 .78017
.75754 .05722 .76519 .05824 .77278 .05926 .78029 .06030
8.75767
.05825 8.77291 .05928 8.78042 .06031
.05930 .78054 .06033
.05931 .78067 .06035
.06037
8.77240
.05921 8.77992
.060248.78737
.06129 20
.06026 .78749
.06130 19
.06028 .78762
.06132 18
.78774
.06134 17
8.78787
.06136 16
.77303
.78799
.06137 15
.77316
.78811
.06139 14
.77328
.05933 .78079
.78824
.06141 13
+128.75818
.05730 18.76583
.05832
8.77341
.05935 8.78092
49
50
51
.75831
.75844 .05734 .76608
.75856 .05735 .76621 .05837
.05732 .76596
.05834
.77353 .05936
.05836
.77366
.77379
+ 138.75869 .05737 8.76634 .05839
8.77391
53
.75882 .05739 .76646 .05841
.77404
54
.75895
.05740 .76659 .05842
.77416
55
.75908
.05742 .76672 .05844
+14
8.75920
57
58
59
.05846
.05847
.75946 .05747 .76710 .05849
.75959 .05749 .76722 .05851
.05751 8.76735 .05853
+15 8.75972
.05744 8.76684
.77429
8.77441
.75933 .05745 .76697
.77454
.06038 8.78836
.78104 .06040 .78848
.05938 .78117 .06042
.05940 .78129 .06044 .78873
.05942 8.78142 .06045 8.78885
.05943 .78154 .06047 .78898
.05945 .78167 .06049 .78910
.05947 .78179 .06050 .78922
.05949 | 8.78191 .06052 8.78935 .06157
.05950 .78204 .06054 .78947 .06158
.77466 .05952 .78216 .06056 .78959 .06160
.77479 .95954 .78229 .06057 .78972 .06162 1
8.77492 .05955 8.78241
.06164
.06059 8.78984
0
.06143 12
.06144 11
.78861
.06146 10
.06148 9
.06150 8
.06151
.06153 6
7
.06155 5
22h 9m
22h 5m
22h 8m
22h 6m
22h 7m

TABLE IV.
[Page 67
Haversines.
1h 57m 29° 15' 1h 58m 29° 30' 1h 59m 29° 45'
1h 55m 28° 45′
1h 56m 29° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. IIav. Nat. IIav.
S
S
0
8.78984
.06164 8.79720
.06269
8.80449
063758.81172
1
.78996 .06165 .79732
.06271
.80462
2
.79009
.06167 .79744
.06273
3
.79021
.06169.79757
.06274
.80474
.80486
+
18.79033
.06171 | 8.79769
.06276
8.80498
.06482 8.81889
.06377 .81184 .06484 .81901
.06379 .81196 .06486 '.81913
.06381 .81208 .06488 .81925
.06382 8.81220
.06590 60
.06592 | 59
.06594 58
.06595 57
'.06489 8.81937
.06597
56
667
5
79046
.79058
.79070
.06172 .79781
.06174 .79793
.06176 .79805
.06278
.80510
.06384 .81232
.06491
.81948
.06599 55
.06280 .80522
.06386 .81244
.06493
.81960
.06601 54
.06281 .80534
.06388 .81256
.06495
.81972
.06603 | 53
+1
2/8.79082
.06178 8.79818
.062838.80546
.063898.81268
.06497
8.81984
.06605 52
9
10
.79095
.06179 .79830
.06285.80558
.06391 81280
'.06498
.81996
.06606 51
.79107
11
.79119
.06181 .79842 .06287 '.80570
.06183 .79854.06288
.06393
.80582
.06395
.81292
.81304
.06500 .82008
.06608 50
+
3'
8.79132
13
.79144
14
.79156
15
.79169
.061858.79866 .06290 8.80595
.06186 .79879 .06292,80607
.06188 .79891
.06190 .79903
.06294 ,80619
.0629580631
+
4/8.79181
.06192 8.79915
17
.79193
.06193 .79927
18
.79205
19
.79218
+
5/ 8.79230
.06195 .79940
.06197 .79952
.06199 8.79964
.06297 8.80643
.06299 .80655
.06301 !.80667
:06303 '.80679
.06397 8.81316
.06398 .81328
06400 .81340
206402 .81352
1.06404 8.81364
.06405 .81376
[06407
.06502
06504 8.82032
.06505
.82020
.06610 49
.06612 48
.82043
.06614 47
.06507 .82055
.06615 46
.06509 .82067
.06617 45
.065118.82079
.06619 44
.06513 ›.82091
.06621 43
.81388
.06514 .82103
.06623 | 42
.06409 .81400
.06516 .82115
.06624 41
.06304 | 8.80691
.064118.81412
.06518 8.82126
.06626 40
21
.79242
.79976
22
28
+
6'
25
26
27
+
8.79328
29
.79341 .06214
30
.79353
-31
.79365
+
8' 8.79377
33
.79390
34
.06216 .80086
.06218 .80098
.06220 8.80110
.06221
.79402 .06223
.06200
.79255 .06202
.79267 .06204
8.79279 .06206 8.80013 .063118.80739
.79291 .06207 .80025 .06313 180751 .06420
.79304 .06209 .80037 .06315 180764
.79316 .06211 .80049 .06317 .80776
.06213 8.80061 .06318 8.80788
.80073 .06320 .80800
.06322 .80812 06429
.06324 .80824 .06430
.06306 .80703
.79988 .06308 .80715
.8000006310 .80727
.06413 .81424
.06520 .82138
.06628 39
.06414
.81436
.06522 .82150
.06630 38
.06416
.81448
.06523
.82162
.06632 | 37
.06418 8.81460
.06525
8.82174
.06633 | 36
.81472
.06527
.82186
.06635 35
.06421 .81484
.06529
.82198
.06637 34
.06423 .81496
.06531
.82209
.06629 33
1.064258.81508
.06532 | 8.82221
.06641 32
(06427 .81520
.063268.80836
06432
.06534
.81531 .06536
.81543 .06538
8.81555
.82233
.06642 | 31
.82245
.06644 30
.82257
.06646 29
.06540 8.82269
.06648 28
.80122
.06327 .80848
*06434
.81567
.06541
.82280
.06650 27
35
.79414.06225
.80134 .06329 .80860 .06436 .81579
.80146.06331. .80872 .06438 .81591
.06543
.82292
.06652 | 26

.06545
.82304.06653 | 25
+
877
.79439
38
.79451
89
.79463
9/8.79426 .06227
.06229 '.80171 .06334 .80896
.06230 .80183 .06336 .80908
.06232 '.80195 .06338 .80920
8.80158 .06333 8.80884
+
10
8.79475
.062348.80207
.06340 8.80932
.06439 8.81603
.06441 .81615
.06443 .81627
.06445 .81639
.06446 8.81651
.06547 8.82316.06655 | 24
.06549 .82328
.06550 .82340
.06552 .82351
.06657 | 28
.06659 22
1
.06661 21
.065548.82363
.06662 20
41
.79488
42
.79500
43
.06236 .80219 '.06341 .80944
.06237 .80231 .06343 .80956
.06239 .80243 .06345 .80968
.06448
.81663
.06450 .81675
*06556 .82375
.06664 19
.06558
.82387.06666| 18
+ 11
45
46
47
49
50
51
+
53
54
55
+14' 8.79671· .06262 8.80401
57
58
.79683 .06264 .80413
.79696 .06265 .80425
.06370.81136
.06372 .81148
59
.79708 .06267 .80437 .06373 .81160
+15' 8.79720
.06269 8.80449
.06375 8.81172
.79512
8.79524 .062418.80256 063478.80980
.79537 .06243 .80268 .06349 .80992 .06455
.79549 .06244 .80280 .06350 .81004 .06457
.79561 .06246 .80292 .06352 .81016 .06459
+ 12/8.79573 .06248 8.80304 .06354 8.81028 .06461
.79586 .06250 .80316 .06356 .81040 .06463
.79598 .06251 .80328 .06357 .81052 .06464 .81770
.79610 .06253 .80340 .06359 .81064 .06466 .81782
13′ 8.79622 .06255 8.80353 .06361 8.81076 .06468 8.81794 .06576 8.82505
.79634 .06257 .80365 .06363 .81088 .06470 .81806 .06577 .82517 .06686 7
.79647 .06258 .80377 .06365 .81100 .06471 .81818 .06579 .82529 .06688 6
.79659 .06260 .80389 .06366 .81112 .06473 .81830 .06581 .82540 .06690 5
.06368 8.81124 .06475 8.81841 .06583 8.82552 .06691 4
.06477 .81853 .06585 .82564 .06693 3
.06479 .81865 .06586 .82576 .06695 2
.06480 .81877 .06588 .82588
.06482 8.81889 .06590 | 8.82599
.06452 .81687
.06559
.82399
.06668 | 17
.06454
8.81699
.06561
8.82410
.06670 | 16
.81710
.06563 .82422
.06671 | 15
.81722
.06565
.82434
.06673 14
.81734.06567
.82446
.06675 13
8.81746 .06568 8.82458
.81758 .06570
.06677 12
.82470
.06679 11
.06572 1.82481
.06681 10
.06574 1.82493
.06682 9
.06684 8
.06697 1
.06699 0
22h 4m
22h Om
22h sm
22h 1m
22h 2m

Page 68]
TABLE IV.
S
Haversines.
2h 0m 30° 0'
2h 1m 30° 15'
2h 2m 30° 30'
2h 3m 30° 45′
2h 4m 31° 0'
Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
の
​ON & GO
8.82599
.066998.83303 .06808 8.84002
.06919 8.84694
1
.82611
.06701 .83315
.06810 .84013
.06920 .84705
2
.82623
.06702
.83327
.06812 .84025
.06922 .84717
3
.82635
.06704
.83338
.06814 .84036
.06924 .84728
.070308.85380
.07032 .85391
.07033 .85403
.07035 .85414
.07142 60
.07144 59
.07145 58
.07147 57
+
1/8.82646
.06706 8.83350
.068168.84048 .06926 8.84740
.070378.85425
.07149 56
5
.82658
.06708
.83362
6
.82670
.06710
.83374
7
.82682
.06711 .83385
.06817 .84059
.06819 .84071
.06821 .84083
.06928 .84751
.06930 .84762
.06931 .84774
.07039 .85437
.07041 .85448
.07043 .85459
.07151 55
.07153 54
.07155 | 53
+ 28.82694
.067138.83397
.068238.84094
.069338.84785
.07045 8.85471
.07157 52
9
.82705
10
.82717
11
.82729
.06715 .83409
.06717 .83420
.06719 .83432
.06825 .84106
.06826 .84117
.06828 .84129
.06935 .84797
.06937
.07046 .85482
.07158 51
.84808 .07048 .85494
.07160 50
.06939 .84820 .07050 .85505
.07162 49
+
38.82741 .067218.83444
.068308.84140
13
.82752
14
.82764
15
.82776
+
4/8.82788
17
.82799
18
.82811
19
.82823
.07722 .83455
.06724 .83467
.06726 .83479
.06728 8.83490
.06730 .83502
.06731 .83513
.06733 .83525
.06832 .84152
.06834 .84164
.06836 .84175
.06941 8.84831
.06943 .84843
.06944 .84854
.06946 .84866
.07052 8.85516
.07164 48
.07054 .85528
.07166 47
.068388.84187
.069488.84877
.06839 .84198
.06841 .84210
.06843 .84221
.06950 .84889
.06952 .84900
.07056 .85539
.07058 .85550
.07059 8.85562
.07061 .85573
.07168 46
.07170 45
.07172 44
.07173 43
.07063 .85585
.07175 42
.06954 .84912 .07065 .85596
.07177 41
+ 5'
8.82835
.067358.83537
.068458.84233
21
.82846
22
.82858
.06737 .83548
.06739
.83560
23
.82870
.06741
.83572
.06847 .84244
.06849 .84356
.06850 .84268
.06956 8.84923
.06957 .84934
.06959 .84946
.06961 .84957
.07067 8.85607
.07179 40
.07069 .85619
.07071
.07073 .85641
.07181 39
.85630
.07183 38
.07185 37
+
68.82882
.06742 8.83583
.06852 8.84279
.069638.84969
.07074 8.85653
.07187 36
25
.82893
26
.82905
27
.82917
+
78.82929
29
.82940
.06752 .83642
.06744 .83595 .06854 .84291
.06746 .83607 .06856 .84302
.06748 .83618 .06858 .84314
.06750 8.83630 .06860 8.84325
.06861 .84337
30
.82952
.06753 .83653
.06863
.84348
31
.82964 .06755
+
88.82976
33
24
.82987 .06759
.82999 .06761 .83700
.83665
.06757 8.83676
.83688
.06865
.84360
.06867
8.84371
.06869 .84383
.06871 .84394
35
.83011 .06763 .83711
.06872 .84406
.06965 .84980
.06967 .84992 .07078 .85675
.06968 .85003
.06970 8.85015
.06972 .85026
.06974 .85037
.06976 .85049
.06978 8.85060
.06980 .85072
.06981 .85083
.06983 .85095
.07076
.85664
.07189 35
.07190 34
.07080 .85687
.07192 33
.07082 8.85698
.07194 32
.07084 .85709
.07196 31
.07086 .85721
.07087 .85732
.07198 30
.07200 29
.070898.85743
.07202 28
+
9/8.83023 .067648.83723
.06874 | 8.84417
.069858.85106
37
.83034 .06766 .83735 .06876 .84429
.06987 .85117
.07091 .85755
.07093 .85766
.07095
.07097 8.85789
.07099 .85800
.07204 27

.07205 26
.85777
.07207 25
.07209 24
.07211 23
38
.83046 .06788 .83746 .06878
.84441
.06989
.85129
.07100 .85811
.07213 22
39
.82058 .06770 .83758 .06880
.84452
.06991
.85140 .07102 .85823
.07215 21
+108.83069 .067728.83769 .06882
8.84464
.06993
8.85152
41
42
43
.83081 .06773 .83781 .06884
.83093
.83105
.84475
.06775 .83793 .06885 .84487
.06777 .83804 .06887 .84498
118.83116 .067798.83816 .068898.84510
45
.83128 .06781 .83828
46
47
.83140 .06783 .83839
.83151 .06784 .83851
+128.83163 .06786 8.83862
49
50
51
.06891 .84521
.06893 .84533
.06895 .84544
.06896 8.84556
.83175 .06788 .83874 .06898 .84567
.83187 .06790 .83886 .06909 .84579
.83198 .06792 .83897 .06902 .84590
+ 138.83210
.07104 8.85834
.06994 .85163 .07106
.06996 .85175 .07108
.06998 .85186 .07110 .85868
.07000 8.85197
.07002 .85209
.07004
.07006 .85232
.07217 20
.85845
.07219 19
.85857
.07220 18
.07222 17
.07112 8.85879
.07224 16
.07114 .85891
.07226 15
.85220 .07115 .85902
.07228 14
.07117 .85913
.07230 13
.067948.83909
.069048.84602
53
90690°
54
55
+148.83257 .06801 8.83955
57
58
59
+158.83303
.07119 8.85925
.07009 .85254 .07121 .85936 .07234 11
.07011 .85266 .07123 .85947 .07236 10
.07013 .85277 ..07125 .85959. .07237 9
.07127 8.85970 .07239
.83222 .06795 .83920
.84613 .07017 .85300 .07129 .85981 .07241
.83233 .06797 .83932 .06907 .84625 .07019 .85311 .07130 .85992 .07243
.83245 .06799 .83944 .06909 .84636 .07020 .85323 .07132 .86004 .07245
.06911 8.84648 .07022 8.85334 .07134 8.86015 .07247
.83268 .06803 .83967 .06913 .84659 .07024 .85346 .07136 .86026 .07249 3
.83280 .06805 .83978 .06915 .84671 .07026 .85357 .07138 .86038 .07251 2
.83292 .06806 .83990 .06917 .84682 .07028 .85368 .07140 .86049 .07253 1
.06808 8.84002 .069198.84694 .07030 8.85380 .07142 8.86060 .07254 0
.070078.85243
.07232 12
.070158.85289
8
7664
5
21h 59m
21h 55m
21h 58m
21h 56m
21h 57m

TABLE IV.
[Page 69
02
Haversines.
2h 5m 31° 15'
2h 6m 31° 30'
2h 7m 31° 45'
2h 8m 32° 0
2h 9m 32° 15'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav
S
0423
1
8.86060 .07254 8.86735 .07368 8.87404
.86072 .07256 .86746 .07370 .87415
.86085 .07258 .86757 .07372 .87426
.86094 .07260 .86769 .07374 .87437
.074828.88068
.075988.88726
.07714 60
.07484 .88079 .07600 .88737
.07716 59
.07486
.07488
.88090
.07601
.88748
.07717 | 58
.88101
.07603
.88759
.07719 57
+
667
5
1/8.86105
.072628.86780
.073768.87448
.07490 | 8.88112
.07605 8.88769
.07721 56
+1
2/
9
10
11
.86117 .07264 .86791
.86128 .07266 .86802 .07379 .87471
.86139 .07268 .86813 .07381 .87482
8.86151 .07270 8.86825
.86162 .07271 .86836
.86173 .07273 .86847
.86184 .07275 .86858
.07377 .87460
.07492
.07494
.88123
.07607 .88780
.07723 55
.88134
.07609 .88791
.07725 54
.07496 .88145
.07611 .88802
.07727 53
.073838.87493
.074988.88156
.076138.88813
.07729 52
.07385 .87504 .07500 .88167
.07387 .87515 .07502 .88178
.07389 .87526 .07503 .88189
.07615 .88824
.07617
.07731 51
.88835
.07733 50
.07619 .88846
.07735 49
+
38.86196
.072778.86869
.073918.87537 .075058.88200
.076218.88857
.07737 48
13
.86207
.07279 .86880
14
.86218
.07281
15
.86229
.07283
+
48.86241 .07285
17
.86252
18
.86263
19
.86275
.07393 .87548 .07507 .88211
.86892 .07395
.07509
.86903 .07397 .87570 .07511 .88233
8.86914 .07398 8.87582
.07287 .86925 .07400 .87593
.07288 .86936 .07402 .87604
.07290 .86947 .07404 .87615
.07623 .88868
.07739 47
.87559
.88222
.075138.88244
.07625
.07627 .88890
.07628 | 8.88900
.88879
.07741 46
.07743 45
.07745 44
.07515 .88255
.07630 .88911
.07747 43
+ 5'
8.86286
.072928.86959
.074068.87626
21
.86297
22
23
.07294 .86970
.86308 .07296 .86981 .07410 .87648
.86320
.07408 .87637
.07517
.07519
.07521 8.88288
.07523 .88299
.88266
.88277
.07632
.07634 .88933
.88922
.07749 42
.07751 41
.076368.88944
.07752 40
+
68.86331
25
26
27
+
78.86376
29
30
31
+
88.86421 .073158.87093
.07429
33
34
35
+
.86443
.86455
98.86466
377
38
89
+ 108.86511
41
42
43
.07319 .87115
.07321 .87126
.07322 8.87137
.86477 .07324 .87148
.86488 .07326 .87159
.86499 .07328 .87171
.07330 8.87182
.86522 .07332 .87193 .07446 .87858
.86533 .07334 .87204 .07448 .87869
.86544
.07298 .86992 .07412 .87659
.07300 8.87003
.86342 .07302 .87014 .07416 .87681
.86353 .07304 .87026 .07417 .87692
.86365 .07305 .87037 .07419 .87703
.07307 8.87048 .07421 8.87714
.86387 .07309 .87059 .07423 .87725 .07538 .88386
.86398 .07311 .87070 .07425 .87737
.07540 .88397
.86410.07323 .87081 .07427 .87748 .07542 .88408
8.87759
.86432 .07317 .87104 .07431 .87770
.07433 .87781
.07435 .87792
.07525 .88310
.07527 .88321
.074148.87670
.075288.88332
.07530 .88343
.07532 .88354
.07534 .88364
.07638 .88955
.07640 .88966
.07642 .88977
.07644 8.88988
.07646 .88998
.07648 .89009
.07650 .89020
.07754 39
.07756 38
.07758 37
.07760 36
.07762 35
7764 | 34
.07766 33
.075368.88375
.07652 8.89031
.07768 32
.07654 .89042
.07770 31
.07656 .89053
.07772 30
.07657 .89064
.07774 29
.075448.88419
.076598.89075
.07776 28
.074378.87803
.07546 .88430
.07548 .88441
.07549 .88452
.07551 8.88463

.07661 .89086
.07663
.07665 .89107
.07778 27
.89096
.07780 | 26
.07782 25
.07667 18.89118
.07784 24
.07438 .87814 .07553 .88474
.07440 .87825
.07442 .87836
.07669 .89129
.07786 23
.07555 .88485
.07557 .88496
.07671 .89140
.07788 22
.07673 .89151
.07789 21
.074448.87847 .075598.88507 .07675
8.89162
.07791 20
.07561 .88518
.07563 .88529
.07677 .89172
.07793 19
+118.86556
45
46
47
+128.86600
49
50
51
138.86645
53
54
55
.07336 .87215 .07450 .87880 .07565 .88540
.07338 8.87226 .07452 8.87891
.86567 .07340 .87237 .07454 .87902
.86578 .07341 .87248 .07456 .87913
.86589 .07343 .87260 .07458 .87924
.07345 8.87271 .07459 8.87935
.86611 .07347 .87282 .07461 .87946
.86623 .07349 .87293
.86634 .07351 .87304
.07353 8.87315
.86657 .07355 .87326
.07584 .88649
.86668 .07357 .87337 .07471 .88002 .07586 .88660
.86679 .07359 .87349 .07473 .88013 .07588 .88671
.07679 .89183
.07681 .89194
.07795 18
.07797 17
.075678.88551
.076838.89205
.07799 16
.07569 .88562
.07571 .88573
.07573 .88584
.07685 .89216
.07686 .89227
.07801 15
.07803 14
.07688 .89238
.07805 13
.075748.88595
.07463 .87957
.07576 .88606
.07578 .88616
.07690 8.89248
.07692
.07807 12
.89259
.07809 11
.07694
.89270
.07811 10
.07465 .87968
.07580 .88627
.07696
.89281
.07813 9
.07467 | 8.87980
.07469 .87991
.07582 8.88638 .07698 8.89292
.07815 8
.07700 .89303
.07702 .89314
.07817 7
.07819 6
14
8.86690
.073608.87360
57
.86701 .07362 .87371
58
.86713
.07364 .87382
59
.86724
.07366
.87393.07480
158.86735
.07704 .89324 .07821 5
.07475 8.88024
.07706 8.89335 .07823
.07477 .88035 .07592 .88693 .07708 .89346 .07825
.07479 .88046 .07594 .88704 .07710 .89357 .07827 2
.88057 .07590 .88715 .07712 .89368 .07829
8.88068 .07598 8.88726 .07714 8.89379 .07830
.07368 8.87404 .07482
.075908.88682
21h 54m
21h 51m
21h 53m
21h 50m
21h 52m

Page 70]
TABLE IV.
Haversines.
2h 10m 32° 30′
2h 11m 32° 45′
2h 12m 33° 0′ 2h 13m 33' 15'
2h 14m 33° 30′
S
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav.
Log. Hav. Nat. Hav. S
согоно
1
2
3
8.89379 .07830 8.90026
.89389 .07832 .90037
.89400 .07834 .90048
.89411 .07836 .90058
.079488.90668
.08186
.07950 .90679 .08068 .91316 .08188
.07952 .90690 .08070 .91327
.07954 .90700 .08072 .91337
.080668.91306
8.91938
.08306 60
.91948
.08308 | 59
.08190
.91959
.08310 58
.08192 .91969
.08312 57
+
1'8.89422
.078388.90069
.079568.90711
.080748.91348
.081948.91980
.08314 56
567
.89433
.89444
.89454
+
2/18.89465
9
10
11
+
13
14
15
.07840 .90080 .07958 .90722
.07842 .90091 .07960 .90732
.07844 .90101 .07962 .90743
.07846 8.90112 .07964 8.90754
.89476 .07848 .90123 .07966 .90764
.89487 .07850 .90134 .07968 .90775
.89498 .07852 .90144 .07970 .90786
38.89509 .07854 8.90155 .07972 8.90796
.89519 .07856 .90166 .07974 .90807
.89530 .07858 .90176 .07976 .90818
.89541 .07860 .90187 .07978 .90828
.08076 .91358
.08078 .91369
.08080 .91380
.08082 8.91390
.08084 .91401
.08086 .91411 .08206 .92043
.08088 .91422 .08208 .92053
.08090 8.91432 .08210 8.92064
.08092 .91443
.08196 .91990
.08316 55
.08198 .92001
.08200 .92011
.08318 54
.08320 58
.08202 8.92022
.083221 52
.08204 .92032
.0832451
.08326 50
.08328 49
.08330 48
.08212 .92074
.08332 47
+
48.89552
17
18
19
+ 5'
21
22
23
.08094 .91454
.08096 .91464
.07862 8.90198 .07980 8.90839 .08098 8.91475
.89563 .07864 .90209 .07982 .90849
.89573 .07866 .90219 .07983 .90860
.89584 .07868 .90230 .07985 .90871
8.89595 .07870 8.90241
.89606 .07872 .90252
.89617 .07873 .90262
.89627 .07875 .90273
.08214
.92084
.08334 46
.08216 .92095
.08336 45
.08218 8.92105
.08338 44
.08100 .91485
.079878.90881
.07989 .90892
.07991
.07993
+
68.89638
.078778.90284
.07995
25
.89649
26
.89660
27
.89671
.07879 .90294
.07881 .90305
.07883 .90316
.08102 .91496
.08104 .91506
.08106 8.91517
.08108 .91527
.90903 .08110 .91538
.90913 .08112 .91549
8.90924 .08114 8.91559
.07997 .90935 .08116 .91570
.08220 .92116
.08222 .92126
.08224 .92137
.08340 43
.08342 42
.08344 41
.082268.92147
.08346❘ 40
.08228 .92158
.08230
.08348 39
.92168
.08350 38
.08232 .92179
.08352 37
.082348.92189
.08354 36
.08236 .92200
.08356 35
.07999 .90945
.08001 .90956
.08118 .91580
.08238 .92210
.08358 34
.08120 .91591 .08240 .92221
.08360 33
+
7/8.89681
.078858.90326
.080038.90966
29
.89692
30
.89703
.07889
31
.89714
.07891
.07887 .90337 .08005 .90977
.90348 .08007 .90988
.90359 .08009 .90998
.08122 8.91601
.08124 .91612
.08126 .91622
.08128 .91633
.08242 8.92231
.08244
.08362 32
.92241
.08364 | 31
.08246
.92252
.08366 30
.08248 .92262
.08368 29
+
8' 18.89725
.07893
8.90369
33
.89735 .07895 .90380
34
.89746
.07897
35
.89757
.07899
.90391
.90401
+
9'
8.89768
.07901 8.90412
.08011
.08013
.08015 .91030
.08017 .91041
.08019 8.91051
8.91009
.081308.91643
.08250 8.92273
.08370 28
.91019
.08132 .91654
.08134 .91664
.08136 .91675
.08252 .92283
.08372 27

.08254
.08256
.92294
.08374 26
.92304
.08376 25
.08138 8.91685
.08258 8.92315
.08378 24
37
.89779
.07903
.90423
38
39
.89789 .07905
.89800
.90433
.07907 .90444
.08021
.08023 .91073
.08025 .91083
.91062
.08140 .91696
.08260
.92325
.08380 23
.08142 .91707
.08144
.08262
.92335
.08382 22
.91717
.08264
.92346
.08384 | 21
+108.89811 .079098.90455
.080278.91094
.081468.91728
.08266 8.92356
.08386 20
41
42
43
.89343
.07915
.89822 .07911 .90466 .08029 .91104
.07913
.89832
.90476 .08031 .91115
.90487 .08033 .91126
.08148 .91738
.08268
.92367
.08388 19
+118.89854 .079178.90498 .080358.91136
45
.89865
.07919
46
.89875
.07921
.90508
.90519
47
.89886 .07923 .90530
.08150 .91749
.08152 .91759 .08272
.08154 8.91770
.08037 .91147 .08156 .91780
.08039 .91157 .08158 .91791
.08041 .91168 .08160 .91801
.08270
.92377
.08390 18
.92388
.08392 17
.082748.92398
08394 | 16
.08276 .92409
.08396 | 15
.08278
.08280
.92419
.08398 14
.92429
.08400 13
+128.89897
.079248.90540
.080438.91179
.08162 8.91812
.082828.92440
.08402
12
49
.89908
.07926 .90551 .08045
.91189
.08164 .91822
.08284
.92450
.08404 | 11
50
.89919
.07928
.90562
.08047
51
.89929
.07930
.90572
.08049
.91200 .08166 .91833
.91210 .08168 .91843
.08286
.92461
.08406 10
.08288
.92471
.08408
9
+13' 8.89940
.07932
8.90583
.08051
8.91221
.08170 8.91854
.08290 8.92482
.08410 8
53
.89951 .07934 .90594
.08053
.91232
.08172 .91864 .08292 .92492
.08412
ry
54
.89962 .07936
.90604
.08055
.91242
.91875
.08174
.08294 .92502
.08414
6
55
.89972
.07938
.90615
.08057
.91253
.08176 .91885
.08296
.92513
.08416
5
+148.89983
.079408.90626 .08059
8.91263
.08178 8.91896
.08298 8.92523
.08418
4
57
58
59
.89994 .07942 .90636
.90005 .07944 .90647
.90658
.90015 .07946
.08061
.08063
.08065
.91274
.08180
.91906
.08300
.92534
.08420 3
.91284 .08182
.91295 .08184 .91927
.91917
.08302
.92544
.08422
2
.08304
.92554
.08425
1
+158.90026 .07948 8.90668 .08066 8.91306
.08186 8.91938
.08306 8.92565
.08427
0
21h 49m
21h 45m
21h 48m
21h 46m
21h 47m

TABLE IV.
[Page 71
Haversines.
2h 15m 33° 45′
S
2h 16m 34° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
2h 17m 34° 15'
2h 18m 34° 30'
2h 19m 34° 45′
Log. Hav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav.
S
2
ONQ∞
8.92565
.084278.93187
.08548 8.93805
.08671
8.94417
.08794 8.95025
.08918 60
1
.92575
.08429 .93197
.08550 .93815
.08673
.94427
.08796
.95035
.08920 59
.92586
.08431
.93208
3
.92596
.08433
.93218
.08552
.08554 .93835
.93825
.08675
.94438
.08798
.95045
.08922 58
.08677 .94448
.08800
.95055
.08924 57
+
18.92607
.08435 8.93228
.085568.93846
.086798.94458
.08802 8.95065
.08926 | 56
562
.92617
.08437
.93239
.08558 .93856
.08681 .94468
.08804
.95076
.08928 55
.92627
.08439
.93249
.92638
.08441
.08560
.93259 .08562
.93866
.08683 .94478
.08806
.95086
.08930 54
.93876
.08685 .94488
.08808
.95096
.08932 53
+
2/8.92648
.08443
8.93270
.08564 8.93886
.086878.94498
.08810
8.95106
.08934 52
9
.93280
10
11
.92669
.92679
+
38.92690
13
14
15
.92659 .08445
.08566 .93897
.93290
.08447
.08568 .93907
.08449 .93301 .08571 .93917
.08451 8.93311
.92700 .08453 .93321
.92710 .08455 .93332
.92721 .08457 .93342
.94509
.085738.93927
.08575 .93938
.08577 .93948
.08579 .93958
+
48.92731
.084598.93352
.085818.93968
17
18
.92742
.92752 .08463
.08461 .93363
.08583
.93979 .08705
.93373
.08585
.93989
19
.92762
.08465
.93383
.08587
.93999
.08689
.08814
.08691 .94519
.08693
.08816
.94529
.08695 8.94539
.08697 .94549
.08699 .94559
.08701 .94570
.08703 8.94580
.94590
.08707 .94600
.94610
.08709
.08812
.95116
.08936 51
.95126
.08938 50
.95136
.08940 49
.08818 | 8.95146
.08943 48
.08820 .95156
.08945 47
.08823
.08825
.95166
.08947 46
.95176
.08949 45
.088278.95186
.08951 44
.08829 .95197
.0895343
.08831
.08833
.95207
.08955 42
.95217
.08957 41
+
5'8.92773
.084678.93393
.08589
8.94009
.08711 | 8.94620
.088358.95227
.08959 40
21
.92783
.08469 .93404 .08591
22
.92794
.08471
23
.92804
.08473
+
68.92814
25
.92825
26
.92835
27
.92845
+
78.92856
29
.94019
.93414 .08593 .94030
.93424 .08595 .94040
.08475 8.93435
.08477 .93445 .08599 .94060
.93455
.08479
.08601
.08481 .93466 .08603
.08483 8.93476
.92866 .08485 .93486
.08714 .94630
.08716 .94641
.08718 .94651 .08841 .95257
.08837
.95237
.08961 39
.08839
.95247
.08963 38
.08965 37
30
.92877
81
+
8'
.92887
8.92897
.08487 .93496
.08489 .93507
.084918.93517
33
34
.92918
35
.92928
+
9/18.92939
37
38
39
+10
8.92980
41
.92991
42
.93001
43
.93011
.08512 .93620
.08514 .93630
.08720
.08722
.94071 .08724 .94681
.94081 .08726 .94691
.08605 8.94091 .08728 8.94701
.08607 .94101 .08730 .94712
.08609 .94111 .08732 .94722
.08611 .94122 .08734 .94732
.08613 8.94132 .08736 8.94742
.92908 .08493 .93527
.08615 .94142 .08738 .94752
.08495 .93538 .08617 .94152
.08497 .93548 .08619 .94162
.08499 8.93558 .08621 8.94173
.92949 .08501 .93568 .08624 .94183
.92960 .08503 .93579 .08626 .94193
.92970 .08505 .93589 .08628 .94203
.08508 8.93599 .08630 8.94213
.08510 .93610 .08632 .94224
.08634 .94234
.08636 .94244
.085978.94050
8.94661 .08843 8.95267
.94671
.08967 36
.08845 .95277
.08970 35
.08847 .95287
.08972 34
.08849 .95297
.08974 33
.08851 8.95307
.08976 32
.08853 .95317
.08978 31
.08856 .95327
.08858
.08860 8.95347
08980 30
.95337
.08982 29
.08984 28
.08862
.95357
.08986 | 27
.08740 .94762
.08864
.95368
.0898826

.08742 .94772
.08866
.95378
.08990 25
.087448.94782
.08746 .94793
.08748 .94803
.08868 8.95388
.08870
.08872
.08992 24
.95398
.08994 23
.95408
.08997 22
.08750 .94813
.08874 .95418
.08999 21
.087538.94823
.08876 8.95428
.09001 20
.08755 .94833
.08757
.08759
.94843
.94853
.08878 .95438
.08880 .95448
.08882 .95458
.09003 19
.09005
.09007 17
18
+11 8.93022 .085168.93640 .086388.94254
.08761
8.94863
.088858.95468
.09009 16
45
46
47
+128.93063
.085248.93681
·
49
50
51
53
54
55
14
57
58
59
+158.93187
.08548 8.93805
.93073 .08526 .93692 .08648 .94305
.93084 .08528 .93702 .08650 .94315
.93094 .08530 .93712 .08652 .94326
138.93104 .085328.93722 .08654 8.94336
.93115 .08534 .93733 .08656 .94346
.93125 .08536 .93743 .08658 .94356
.93135 .08538 .93753 .08660 .94366
8.93146 .08540 8.93764 .08662 8.94376
.93156 .08542 .93774 .08664 .94387
.93166 .08544 .93784 .08666 .94397
.93177 .08546 .93794 .08668 .94407
.08671 8.94417
.93032 .08518 .93651 .08640 .94264 .08763 .94874
.93042 .08520 .93661 .08642 .94275 .08765 .94884
.93053 .08522 .93671 .08644 .94285 .08767 .94894 .08891
.086468.94295 .08769 8.94904 .08893
.08771 .94914 .08895
.08897 .95528 .09022 10
.08899 .95538 .09024 9
.08901 8.95548 .09026 8
.08779 .94954 .08903 .95558 .09028
.08781 .94965 .08905 .95568 .09030
.08783 .94975 .08907 .95578 .09032
.08785 8.94985
.94995
.08887 .95478
.09011 15
.08889 .95488
.09013 14
.95498
.09015 13
8.95508
.09017 12
.95518
.09019 11
.08773 .94924
.08775 .94934
.087778.94944
.08788
.08790 .95005
.08792 .95015
.08909 8.95588 .09034
.08911 .95598 .09036
.08914 .95608 .09038
.08916 .95618 .09040
76643Q
5
2
.087948.95025
.089188.95628
.09042
21h 44m
21h 40m
21h 43m
21h 41m
21h 42m

Page 72]
TABLE IV.
S
+
CO & NO
2h 20m 35° 0'
Haversines.
2h 21m 35° 15′ 2h 22m 35° 30' 2h 23m 35° 45′ 2h 24m 36° 0′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
8.95628
.090428.96227 .091688.96821 .092948.97411 .094218.97997
S
.09549 60
1
.95638 .09044
2
.95648
.09047
.96237
.96247
3
.95658
.09049 .96257
18.95668
.090518.96267
567
.95678 .09053 .96277
.09170 .96831
.09172 .96841
.09174 .96851
.09176 8.96861
.09178 .96871
.09296 .97421
.09298 .97431
.09301 .97441
.09423 .98006
.09426 .98016
.09428 .98026 .09556 57
.09551 59
.09553 58
.093038.97450
.09430 8.98035
.09558 56
.95688
.95698
.09055 .96287
+
2/ 8.95709
.09057
.09059
.96297
.09181 .96881
.09183 .96890
.09305 .97460
.09307 .97470
.09309 .97480
.09432 .98045
.09560 55
.09434 .98055
.09562 54
.09436 .98065
.09564 53
8.96307
.09185 8.96900
.093118.97489
.094388.98074
.09566 52
9
.95719
.09061 .96317
10
,95729
.09063
.96326
.09187
.09189
.96910
.96920
.09313 .97499
.09440 .98084
.09568 51
11
.95739
.09065
.96336
.09191 .96930
.09315
.09317
.97509
.09443
.98094
.09571 50
.97519
.09445 .98103
.09573 49
+
38.95749 .09067 8.96346
.091938.96940
18
14
15
.95759 .09070 .96356
.95769 .09072 .96366
.95779 .09074 .96376
.09195 .96950
.09197
.96959
.09199
.96969
+
48.95789
.090768.96386
.09202
8.96979
17
.95799
:09078 .96396
18
.95809
.09080
19
.95819
.09082
+
5'8.95828 .09084 8.96426
21
22
23
+ 6'
25
26
.09097 .96485
27
.95898
+
8.95908
.092278.97097
29
30
31
.95938 .09107
+ 8'
8.95948
33
.95958 .09111 .96555
.09237
34
.95968
.09113 .96564
.09239
35
.95978
.09116 .96574
.09242
+
9/8.95988
.09118 | 8.96584
.09244
.09204 .96989
.96406 .09206 .96999
.96416 .09208 .97009
.09210 8.97018
.95838 .09086 .96436 .09212 .97028 .09339 .97617
.95848 .09088 .96446 .09214 .97038 .09341 .97626 .09468
.95858 .09090 .96455 .09216 .97048 .09343 .97636 .09470 .98220
8.95868 .09093 8.96465 .09218 8.97058 .09345 8.97646 .09472 8.98229
.95878 .09095 .96475 .09220 .97068 .09347 .97656
.95888
.09223 .97077 .09349 .97665
.09099 .96495 .09225 .97087 .09351 .97675
.09101 8.96505
.09353 8.97685
.95918 .09103 .96515 .09229 .97107 .09356 .97695
.95928 .09105 .96525 .09231 .97117 .09358 .97704
.96535 .09233 .97127 .09360 .97714
.09109 8.96545 .09235 8.97136 .09362 8.97724
.97146 .09364 .97734
.97156 .09366
.97166 .09368
.09370 8.97763
.09320 8.97529
.09322 .97538
.09324 .97548
.09326 .97558
.09328 | 8.97568
.09330 .97577
.09332 .97587
.09334 .97597
.09337 8.97607
.094478.98113
.09575 48
.09449 .98123
.09451
.09577 47
.98132
.09579 46
.09453 .98142
.09581 45
.094558.98152
.09583 44
.09457
.98162
.09586 43
.09460
.98171
.09588 | 42
.09462 .98181
.09590 | 41
.094648.98191
.09592 40
.09466 .98200
.09594 39

.98210
.09596 38
.09598 37
.09601 | 36
.09474 .98239
.09603 35
.09477 .98249
.09479 .98259 .09607
.09605 34
33
.094818.98268
60960°
32
.98288
.09483 .98278 .09611 31
.09485
.09487 .98297
.09613 30
.09616 29
.094898.98307
.09618 28
.09492 .98317
.09620 27
.97743
.97753
.09494
.09496 .98336
.98326
.09622 26
.09624 | 25
8.97176
.094988.98346
.09626 | 24
37
.95998
38
.96008
39
.09120 .96594
.09122 .96604
.96018 .09124 .96614
.09246
.09248 .97195
.09250 .97205
.97186
.09372
.09375
.97773
.97782
.09500 .98355
.09628
| 23
.09502
.98365
.09631 | 22
.09377 .97792
+10
8.96028
.091268.96624
.092528.97215
.093798.97802
.09504
.09506 | 8.98384
.98375
.09633 21
.09635 20
41
.96038
42
43
.96048
.96058
118.96068
.09134 8.96663 .09260
.09128 .96634
.09130 .96644 .09256 .97235
.09132 .96653 .09258 .97244
8.97254
.09254 .97225
.09381 .97812
.09383 .97821
.09385 .97831
.09509 .98394
.09637 19
.09511
.98404
.09639 18
.09513 .98413
.09641 17
.093878.97841 .095158.98423
.09643 16
45
.96078
.09136 .96673
.09263
.97264
46
47
.96088 .09139 96683
.96098 .09141 .96693
.09265
.97274
.09267
.97284
.09389 .97851
.09392 .97860
.09394 .97870
.09517 .98433
.09646 15
.09519
.98442
.09648 14
.09521 .98452
.09650 13
+128.96108
.09269
8.97294
49
.96118
50
51
.09271 .97303
.09273 .97313
.09275 .97323
+13'
.092778.97333
53
54
55
+148.96187
57
58
59
+158.96227
.09143 8.96703
.09145 .96713
.96128 .09147 .96723
.96138 .09149 .96733
.09151 8.96742
8.96148
.96158 .09153 .96752 .09280 .97343 .09406 .97928
.96167 .09155 .96762 .09282 .97352 .09409 .97938
.09157
.96177
.09284
.96772
.97362 .09411 .97948
.09667
.09160 8.96782 .09286 8.97372
.095418.98539 .09669
.96197 .09162 .96792 .09288 .97382 .09415 .97967 .09543 .98549 .09671 3
.96207 .09164 .96802 .09290 .97392 .09417 .97977 .09545 .98558 .09673 2
.96217 .09166 .96812 .09292 .97401 .09419 .97987 .09547
1
.98568 .09676
.091688.96821 .09294 8.97411
.09396 8.97880
.09398 .97890
.09400 .97899
.09402 .97909
.095248.98462
.09652 | 12
.09526 .98471
.09528 .98481
.09530 .98491
09654 11
.09656 | 10
.094048.97919
.095328.98500
.09658 9
.09661 8
.09534 .98510 .09663 7
.09536 .98520 .09665
.09538 .98529
6
LO
5
.094138.97958
4
.094218.97997 .095498.98578 .09678 0
21h 39m
21h 35m
21h 38m
21h 36m
21h 37m

TABLE IV
[Page 73
Haversines.
2h 25m 36° 15′
2h 27m 36° 45′
2h 28m 37° 0'
2h 26m 36° 30'
2h 29m 37° 15'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
S
0
1
2
3
+
18.98616
5
.98626
8.98578 .09678 8.99154 .09807 8.99727
.98587 .09680 .99164 .09809 .99736
.98597 .09682 .99173 .09811 .99746
.98606 .09684 .99183 .09814 .99755
.09686 8.99193
.09689 .99202
.098168.99765
6
.98635
7
.09691
.98645 .09693
.99212
+ 28.98655
9
10
.98674
11
.98684
+
3'
8.98693
13
14
15
+ 4/
17
18
19
+ 5'
8.98770
.99221
.09695 8.99231
.98664 .09697 .99240
.09699 .99250
.09701 .99260
.09704 8.99269
.98703 .09706 .99279
.98712 .09708 .99288
.98722 .09710 .99298
8.98732 .09712 8.99307
.98741 .09714 .99317
.98751 .09717 .99327
.98761 .09719 .99336
.09721 8.99346
.09818 .99774
.09820
.09822 .99793
.99784
.09937 9.00295
.09939 .00305
.09952 .00314
.09944 .00324
.09946 9.00333
.09948 .00342
.09950 .00352
.09953 .00361
.100689.00860
.10200 60
.10070 .00869
.10073
.10075 .00888
.10202 59
.00878
.10204 58
.100779.00897
.098248.99803
.099559.00371
.09827 .99812
.09829 .99822
.09831 .99831
.09957 .00380
.09959 .00390
.09961 .00399
.10079 .00906
.10081 .00916
.10084 .00925
.10086 9.00935
.10088 .00944
.10090 .00953
.10092 .00963
.098338.99841
.099639.00408
.100959.00972
.09835 .99850 .09966 .00418
.09837 .99860 .09968 .00427
.10097 .00981
.10099 .00991
.09840 .99869 .09970 .00437 .10101 .01000
10206 57
.10209 56
.1021155
.10213 54
.10215 53
.1021852
.10220 51
.1022250
.10224 49
.10226 48
10228 47
.10231 46
.1023345
.09842 8.99879
.09844 .99888
.09846 .99898
.09848 .99907
.098508.99917
21
.98780
22
.98790
.09723 .99355
.09725 .99365
.09853 .99926
.09855
.99936
28
.98799
.09727 .99374
.09857
.99945
+
6/18.98809
.09729 f 8.99384
.09859
8.99955
25
.98818
26
.98828
27
.09732 .99393
.09734 .99403
.09736 .99412
.09861
.99964
+
29
30
31
+
.98866
.98876
88.98886 .097478.99460 .098769.00031
.98838
7/8.98847 .097388.99422
.98857 .09740 .99432
.09742 .99441
.09745 .99451 .09874 .00021
.09863 .99974
.09866 .99983
.09972 9.00446
.09974 .00456
.09977 .00465
.09979 .00474
.09981 9.00484
.09983 .00493
.09985 .00503
.09987 .00512
.09990 9.00522
.09992 .00531
.09994 .00540
.09996 .00550
.10103 9.01009
.10105
.10108 .01028
.10235 44
.01019
.10237 43
.10240 42
.10110 .01037
.10242 41
.10112 9.01047
.10114
.10116 .01065
.10244 | 40
.01.056
.10246 39
.10248 38
.10119 .01075
.10251 37
.101219.01084
.10253 36
.10123 .01094
.10125 .01103
.10127
.10255 35
.10257 34
01112
.10259 33
.098688.99993
.09870 9.00002
.09872 .00012
.099989.00559
.10130
9.01122
.10262 | 32
.10000 .00569
.10003 .00578
.10005 .00587
.10132
.01131
.10264 31
.10134 .01140
.10136 .01150
.10266 30
.10268 29
.100079.00597
.101389.01159
.10270 28
33
34
85
.98895
.98905
.98915
.09749 .99470 .09879 .00040
.09751 .99479 .09881 .00049
.09753 .99489 .09883 .00059
+
87
38
89
+108.98963
.098949.00106
41
42
43
.10141 .01168
.10143 .01178
.10145 .01187
98.98924 .097558.99498 .098859.00068
.10147 9.01196
.98934 .09757 .99508 .09887 .00078 .10018
.10149 .01206
.98943 .09760 .99517 .09890 .00087 .10020 .00653 .10152 .Q1215
.98953 .09762 .99527 .09892 .00097 .10022 .00663 .10154 .01224
.09764 | 8.99536
.10156 9.01234
.98972 .09766 .99546
.10158 .01243
.98982 .09768 .99556
.10160
.98991 .09770 .99565
.00616
.10014 .00625
.10009 .00606
.10011
.10273 27
.10275 26

.10277 25
.100169.00634
.00644
.10279 24
.10281 23
.10284 22
.10286 21
.100259.00672
10288 20
45
46
47
+118.99001 .097738.99575 .09903
.99011 .09775 .99584 .09905 .00154
.99020 .09777 .99594 .09907 .00163
.99030 .09779 .99603 .09909 .00172
.09896 .00116 .10027 .00681
.09898 .00125 .10029 .00691
.09900 .00135 .10031 .00700
9.00144
.10290 19
.01252
.10293 18
.10163 .01262
.10295 17
.100339.00710
.101659.01271
.10297 16
.10035 .00719
.10038 .00728
.10040
.10167 .01280
.10299 15
.10169 .01289
.10301 14
+128.99039 .097818.99613 .09911 9.00182
.10042
.00738 .10171 .01299 .10304 18
9.00747 .10174 9.01308
.10306 12
49
50
.99049 .09783 .99622 .09913 .00191
.99058 .09786
51
.99032 .09916 .00201
.99068 .09788 .99641
.10044
.10046
.00756
.10176 .01317
.10308 11
.00766
.10178 .01327
.10310 10
+
58
54
55
.09918 .00210 .10049 .00775
138.99078 .09790 i 8.99651 .09920 9.00220
.99087. .09792 .99660 .09922 .00229
.99097 .09794 .99670 .09924 .00239
.99106 .09796 .99679 .09926 .00248
+148.99116 .09799 8.99689
.10180 .01336
.10312 9
.10051 9.00785
.10053 .00794
.101829.01345
.10315 8
.10184 .01355
.10317 7
.10055 .00803
.10057 .00813
.10187
.01364
.10319 6
.10189
.01373 .10321 5
.099299.00258
.100599.00822
.10191
9.01383 .10323
57
58
59
.09807 8.99727 .099379.00295
.99126 .09801 .99698 .09931 .00267 .10062 .00831
.99135 .09803 .99708 .09933 .00276 .10064 .00841 .10196 .01401 .10328 2
.99145 .09805 .99717 .09935 .00286 .10066 .00850 .10198 .01411 .10330 1
158.99154
.10068 9.00860 .10200 9.01420 .10332 0
.10193
.01392 .10326
:
21h 3.4m
21h 30m
21h 33m
21h 81m
21h 32m

Page 74]
TABLE IV.
Haversines.
S
2h 30m 37° 30'
2h 31m 37° 45′
2h 32m 38° 0'
2h 33m 38° 15′
2h 34m 38° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
0
9.01420
1
.10332 9.01976
.01429 .10335
.104669.02528
.10599 | 9.03077
.107349.03621
.10870 60
.01985 .10468 .02538
.10602
+
Co do
2
.01438 .10337 .01995
.10470
.02547
.10604
3
.01448 .10339 .02004
.10472
.02556
.03086 .10736 .03630
.03095
.10606 .03104
.10872 59
.10739
.10741
.03639
.10874 58
.03648
.10876 57
1/19.01457
.103419.02013
.10474
9.02565
.106089.03113
.10743 9.03657
10879 | 56
667
5
.01466 .10343 .02022
.10477
.02574
.01476
.01485
.10346 .02031
.10348 .02041
.10479 .02583
.10481 .02593
.10611 .03122
.10613
.10615 .03141
.10745
.03667
.10881 55
.03131
.10748
.03676
.10883 54
.10750 .03685
.10885 53
+
*
9
!9.01494
.01504
.103509.02050
.104839.02602
.106179.03150
.107529.03694
.10888 52
10
.01513
.10352 .02059
.10354 .02068
11
.01522
.10357.02078
.10486 .02611
.10488 .02620
.10499 .02629
+
39.01531
.10359 9.02087
.104929.02638
13
.01541
14
15
.10361
.01550 .10363
.01559 .10366 .02115
.02096
.10494 .02648
.02105
.10497 .02657
.10499
.02666
.10620 .03159
.10622 .03168
.10624 .03177
.10626 9.03186
.10629 .03195
.10631 .03204
.10633 .03213
.10754 .03703
.10757
.10759 .03721
.10890! 51
.03712
.10892 50
.10895 49
.107619.03730
.10897 48
.10763 .03739
.10766
.10768 .03757
.10899 47
.03748
.10901 46
.10904 45
+ 4
9.01569
.10368 9.02124
.10501
9.02675
.106359.03222
.107709.03766
.10906: 44
17
.01578 .10370 .02133
18
19
.01587
.01596
+
59.01606
.10372 .02142
.10374 .02151
.10377 9.02161
.10503
.10506 .02693
.10508 .02702
.02684
.105109.02712
21
.01615
.10379 .02170
22
.01624
23
.01634
.10381 .02179
.10383 .02188
+
69.01643
25
.01652
26
.01661
27
.01671
.10386 9.02197
.10388 .02207
.10390 .02216
.10392 .02225
.10523
.10526
.10512 .02721
.10515 .02730
.10517 .02739
.10519 9.02748
.10521 .02757 .10655 .03304
.02767 .10658 .03313
.02776 .10660 .03322
.10638 .03231
.10640 .03241
.10642 .03250
.10644 9.03259
.10647
.10649 .03277
.10651 .03286
.10772 .03775
.10775 .03784
.10908 43
.10910 42
.10777 .03793
.10913 41
.10779 9.03802
.10915 40
.03268
.10781 .03811
.10917 39

.10784 .03820
.10919 | 38
.106539.03295
.10786
.10788 9.03838
.10790 .03847
.03829
.10922 37
.10924 36
.10926 35
.10793 .03856
.10929 34
.10795 .03865
.10931 33
+
79.01680 .103949.02234
.10528
29
.01689
.10397 .02244
.10530
30
.01698
.10399
.02253
.10532
9.02785 .10662
.02794 .10664
.02803 .10667
9.03331
.10797 9.03874
.10933 32
.03340
.10799 .03883
10935| 31
.03350
.10802 .03892
.10938 | 30
31
.01708
.10401
+
8/19.01717
.10403 | 9.02271
33
.01726
.10405
34
.01736
.10408
35
.01745
.10410
+
9/9.01754
37
38
39
.10535 .02812
.10537 9.02821
.02280 .10539 .02830
.02290 .10541 .02840
.02299 .10544 .02849
.10412 | 9.02308 .10546 9.02858
.01763 .10414 .02317 .10548 .02867
.01773 .10417 .02326 .10550 .02876
.01782 .10419 .02336 .10552 .02885
.02262
.10669 .03359
.10671 9.03368
.10673 .03377
.10676 .03386
.10678 .03395
.10804 .03901
.10940 29
.108069.03910
.10942 28
.10809 .03919
.10811
.10813 .03937
.10944 27
.03928
.10947 26
.10949 25
.106809.03404
+109.01791 .10421 9.02345
41
42
.01800 .10423 .02354
.01810 .10425 .02363
43
+11
45
46
47
+
49
50
51
.10682 .03413
.10685 .03422
.10687 .03431
.10689 9.03440
.10557 .02904 .10691 .03449
.10559 .02913 .10694 .03458
.01819 .10428 .02372 .10561 .02922 .10696 .03467
9.01828 .10430 9.02381 .10564 9.02931 .10698 9.03476
.01837 .10432 .02391 .10566 .02940
.01847 .10434 .02400 .10568 .02949
.01856 .10436 .02409 .10570 .02958
129.01865 .104399.02418 .10573 9.02967
.01874 .10441 .02427 .10575 .02977
.01884 .10443 .02437 .10577 .02986
.01893 .10445 .02446 .10579 .02995
108159.03946
.10818 .03955
.10820 .03964
.10822 .03973
.10951| 24
.10953 23
.1095622
.10958 21
.105559.02894
.108249.03982
.10960 20
.10827 .03991
.10829
.10831 .04009
.10963 19
.04000
.10965 18
.10967 17
.108339.04018
10969 | 16
.10700 03486 .10836 .04027
.10703 .03495 .10838 .04036
.10705 .03504
.10972 15
.10974 | 14
.10840 .04045
.10976 13
.107079.03513
.10842 9.04054
.1097812
.10709 .03522
.10712 .03531
.10845
.10847 .04072
.04063
.10981 11
.10983 10
.10714.03540
.10849
.04081
.10985
9
+139.01902
53
54
55
149.01939
57
58
59
+159.01976
.10466 9.02528
.10448 9.02455 .10582 | 9.03004
.01911 .10450 .02464 .10584 .03013 .10718 .03558
.01921 .10452 .02473 .10586 .03022 .10721 .03567
.01930 .10454 .02483 .10588 .03031 .10723 .03576
.10457 9.02492 .10591 9.03040 .10725 9.03585
01948 .10459 .02501 .10593 .03050 .10727 .03594
.01958 .10461 .02510 .10595 .03059 .10730 .03603
.01967 .10463 .02519 .10597 .03068 .10732 .03612
.10734 9.03621
.107169.03549
.10851
9.04090
.10988
.10854
.04099
.10990
.10856
.04108 .10992 6
.105999.03077
.10858 .04117
.10861
.10863 .04135
.10865 .04144
.10867 .04153
.10870 | 9.04162
.10994 5
9.04126 .10997
4
.10999
Co A Ga7∞
8
3
2
.11001
.11004 1
.11006 0
21h 29m
21h 25m
21h 28m
21h 26m
21h 27m

TABLE IV.
[Page 75
Haversines.
S
0
9.04162
1
.11006
.04171 .11008
соло
2
.04180
.11010
3
.04189
.11013
+
19.04198
.110159.04735
667
5
.04207
.04216
.04225
9.04699 .11143 9.05232
.04708 .11145 .05241
.11147
.04717
.05250 .11285 .05780
.04726 .11150 .05259 .11287 .05788
.11152 9.05268 .11290 9.05797
.11017 .04744 .11154 .05277
.11019 .04753 .11156 .05285
.11022 .04761 .11159 .05294
2h 35m 38° 45'
2h 37m. 39° 15′
2h 38m 39° 30′
2h 36m 39° 0'
2h 39m 39° 45′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
.11558 60
.11280 9.05762
.11419 9.06288
.11283 .05771
.11421 .06297
.11560 59
.11423 .06305
.11563 58
.11426 .06314
.11565 57
.114289.06323
.11567 56
.11292 .05806
.11430 .06332
.11569 55
.11294
.11296
+
29.04234
.11024 9.04770 .11161 9.05303
9
.04243
.11026
.04779 .11163 .05312
.05841
10
.04252
.11029
.04788 .11166
.05321
.11303
.05850
11
.04261
.11031
+
3/19.04270
.11033
13
.04279
.04797 .11168 .05330
9.04806
.11035 .04815
.11306
.05859
.05815
.05823
.11299 9.05832 .11437
.11301
.11440
.11442
.11444 .06384
.11433 .06340
.11572 54
.11435 .06349
.11574 53
9.06358
.06367
.11581
.06375
.11584 49
.11577 52
.11579 51
50
.11172
14
.04288
.11038 .04824
.11175
15
.04297
.11040 .04833
.11177
+
4/9.04306
.11042 9.04842
.11170 9.05339
.05347 .11310 .05876
.05356 .11313 .05885
.05365 .11315 .05894
.11179 9.05374 .11317 9.05903
.11308 9.05867
.114479.06393
.11586 48
.11449
.11451
.06401
.11588 47
.06410
.11590 46
.11453 .06419
.11593 45
.11456 9.06428
.11595 44
17
.04315
.11044 .04851
.11182
.05383
.11320 .05911
18
.04324
.11047 .04859
.11184
.05392
.11322
.05920
.11458
.11460 .06445
.06436
.11597 43
.11600 42
19
.04333
.11049 .04868
11186
.05400
.11324
.05929
.11463 .06454
.11602 41
+
5'9.04341
21
22
23
.11051 9.04877
.04350 .11054 .04886
.04359 .11056 .04895
.04368 .11058 .04904
.11189
9.05409
.11326
9.05938
.11465 9.06462
.11604 40
+
69.04377 .110609.04913
25
.04386
26
.04395
27
.04404
+
9.04413
29
.04422
30
.04431
31
.04440
.11191 .05418
.11193 .05427
.11195 .05436
.11198 9.05445
.11063 .04922 .11200 .05453
.11065 .04931 .11202 .05462
.11067 .04939 .11205 .05471
.110709.04948 .11207 9.05480
.11072 .04957 .11209
.11074 .04966 .11211
.11076 .04975 .11214
.11329 .05946
.11467 .06471
.11607 39
.11331 .05955
.11333 .05964
.11336 9.05973
.11338
.11340 .05990
.11470
.06480
.11609 38
.11472
.06489
.11611 37
.11474 9.06497
.11614 36
.05982
.11477
.06506
.11616 35
.11479 .06515
.11618 34
.11343 .05999
.11481 .06523
.11621 33
.113459.06008
.11484 9.06532
.11623 32
.05489
.05498
.05506
+
89.04449
33
.04458
34
35
.04467
.04476
+
9/9.04485
37
38
39
.11232 .05577
.11347 .06017
.11349 .06025
.11352 .06034 .11491 .06558
.110799.04984 .11216 9.05515 .11354 9.06043 .11493 9.06567
.11081 .04993 .11218 .05524 .11356 .06052 .11495 .06576
.11083 .05002 .11221 .05533 .11359 .06060 .11498 .06584 .11637 26
.11086 .05011 .11223 .05542 .11361 .06069 .11500 .06593 .11639
.11088 9.05019 .11225 9.05551
.11502 9.06602
.04494 .11090 .05028 .11228 .05559
.11504 .06611
.04503 .11092 .05037 .11230 .05568
.11507 .06619
.04512 .11095 .05046
.11486
.11488
.06541
.11625 31
.06550
.11628 30
.11630 29
.11632 28
.11635 27

+10
9.04520 .11097 9.05055
41
.04529
.11099 .05064
.11234 9.05586
.11237
42
.04538
.11102 .05073
.11239
43
.04547
.11104 .05082
.11241
+119.04556 .111069.05090
.11244
45
.04565 .11108 .05099 .11246
46
.04574 .11111 .05108
.11248 .05639
47
+12
.04583 .11113 .05117
9.04592 .111159.05126
.11251 .05648
.11363 9.06078
.11366 .06087
.11368 .06095
.11370 .06104
.11373 | 9.06113
.05595 .11375 .06122
.05603 .11377 .06131
.05612 .11379 .06139
9.05621 .11382 9.06148
.05630 .11384 .06157
.11386 .06166
.11389 .06174
.11642
2/20
25
24
64
.11509 .06628
.11644 23
.11646 22
.11649 21
.115119.06637
.11651 20
.11514 .06645
.11516
.11518 .06663
.11653 19
.06654
.11656 18
.11658 17
.115219.06671
.11660 16
.11523 .06680
.11663 15
.112539.05656
49
.04601 .11117 .05135
.11255 .05665
50
51
.04610
.04619
53
54
55
57
58
59
+ 139.04628
.04637 .11127 .05170
.04646 .11129 .05179
.04654 .11131 .05188
+149.04663 .11134 9.05197
.04672 .11136 .05206
.04681 .11138 .05215
.04690 .11140 .05223
159.04699 .111439.05232
.112719.05727
.11525 .06689
.11528 .06697
.11530 9.06706
.11532 .06715
.11120 .05144 .11257 .05674 .11396 .06201 .11535 .06724
.11122 .05153 .11260 .05683 .11398 .06209 .11537 .06732 .11677 9
.11124 9.05161 .11262 9.05692 .11400 9.06218 .11539 9.06741 .11679 8
.11264 .05700 .11403 .06227 .11542 .06750 .11681
.11267 .05709 .11405 .06235 .11544 .06758 .11684
.11269 .05718 .11407 .06244 .11546 .06767 .11686 5
.11410 9.06253 .11549 9.06776 .11688 4
.11274 .05736 .11412 .06262 .11551 .06784 .11691 3
.11276 .05744 .11414 .06270 .11553 .06793
.11278 .05753 .11416 .06279 .11556 .06802
.11280 9.05762 .11419 9.06288 .115589.06810
.11665 14
.11667 13
.113919.06183
.11670 12
.11393 .06192
.11672 11
.11674 10
∞266
7
.11693 2
.11695 1
.11698 0
21h 24m
21h 20m
21h 23m
21h 21m
21h 22m

Page 76]
TABLE IV.
IIaversines.
S
2h 40m 40° 0'
2h 41m 40° 15'
2h 42m 40° 30'
2h 43m 40° 45'
2h 44m 41° 0'
Log. Hav. Nat. Hav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. IIav.
S
0
1
3
+
467
5
+-
2/19.06880
9
10
+-
39.06914
13
.06923
14
.06932
15
.06940
9.06810 .11698 9.07329
.06819 .11700 .07338
.06828 .11702 .07346
.06836 .11705 .07355
19.06845 11707 9.07364
.06854 .11709 .07372
.06862 .11712 .07381
.06871 .11714 .07390
.11716 9.07398
.06888 .11719 .07407
.06897 .11721 .07415
.06906 .11724 .07424
.11726 9.07433
.11728 .07411
.11731 .07450
.11733 .07458
.118389.07845 .11980 9.08357 .12122 9.08865
.11841 .07853 .11982 .08365 .12124
.11843 .07862 .11984 .08374 .12127
.11845 .07870 .11987 .08382
.11848 9.07879 .11989 9.08391
.11850 .07887
.11852 .07896
.11855 .07905
.12265 60
.08874
.12267 59
.08882
.12269 58
.12129 .08890
.12272 57
12131 | 9.08899
.12274 56
.11992 .08399
.11994
.11996 .08416
.12134
.08907
.12276 55
.08108
.12136
.08916
.12279 54
.12138
.03924
.12281 53
.118579.07913
.119999.08425
.12141 9.08933
.12284 52
.11860 .07922
.11862 .07930
.11864 .07939
.12001 .08433
.12143
.08941
.12286 51
.12003
.12006
.08142
.12146
.08949
.12288 50
.08450
.12148 .08958
.12291 49
.118679.07947
.12008 9.08459
121509.08966
.12293 48
.11869 .07956
.11871 .07964
.11874 .07973
-+-
49.06949
.117359.07467
.118769.07981
17
.06958
18
.06966
19
.06975
+
5'9.06984
.11738 .07476
.11740 .07484
.11742 .07493
.11745 9.07501
21
.06992
.11747 .07510
.11888
22
.07001
.11749 .07519
.11890
.11878 .07990
.11881 .07999
.11883 .08007
.11885 9.08016
.08024
.08033
23
.07010
.11752 .07527
+ 6'
9.07018
.11754 9.07536
25
26
27
+
.07027 .11756 .07544
.07036 .11759 .07553
.07044 .11761 .07562
79.07053 .117639.07570
.11892 .08041
.11895 9.08050
.11897
.11900 .08067
.11902 .08075
.08058
.12010 .08467
.12013 .08475
.12015 .08484
.12018 9.08492
.12020 .08501
.12022 .08509
.12025 .08518
12027 9.08526
.12029 .08535
.12032 .08543
.12034 .08552
.12036 9.08560
.12039
.12041 .08577
.12044 .08586
.12153 .08975
.12155 .08983
.12157 .08992
.12160 9.09000
.12162 .09009
.12165 .09017
.12167 .09025
.12296 47
.12298 46
.12300 45
.1230344
.12305 43
.12307 42
.12310 41
.121699.09034
.12312 40
.12172 .09012
.12174 .09051
.12176
.12179 9.09068
.12315 39
.12317 38
.09059
.12319 37
.12322 36
.08569
.12181 .09076
.12324 85
.12184 .09084
.12327 84
.12186 .09093
.12329 33
.11904 | 9.08084
.120469.08594
.121889.09101
12331 32
29
.07062
30
.07070
31
.07079
.11766 .07579
.11768 .07587
.11770 .07596
.11907 .08092
.11909 .08101
.11911 .08110
.12048 .08603
.12051 .08611
.12053 .08620
.12191 .09110
.12193
.12195 .09126
12334 31
.09118
.12336 30
.12339 29
+
83
34
35
+
89.07088 .117739.07605 .119149.08118
.07096 .11775 .07613 .11916 .08127 .12058 .08637
.07105 .11777 .07622 .11918 .08135 .12060 .08645
.07113 .11780 .07630 .11921 .08144.12062 .08654
9/9.07122 .117829.07639 .11923 | 9.08152
.120559.08628
.121989.09135
.12341 28
.12200 .09143
.12203
.12205 .09160
.12343 27

.09152
.12346 26
.12348 25
.120659.08662
.122079.09169
.12351| 24
37
38
39
41
42
43
+119.07191
.118019.07708
45
46
47
+129.07226
49
50
51
+13
53
54
.11966
55
.07131 .11784 .07647
.12067 .08671
.07139 .11787 .07656
.12070 .08679
.07148 .11789 .07665
.12072 .08687
+109.07157 .11791 9.07673
.12074 9.08696
.07165 .11794 .07682
.11935 .08195 .12077 .08704
.07174 .11796 .07690 .11937 .08203 .12079 .08713
.07183 .11798 .07699 .11940 .08212 .12081 .08721
.11942 9.08220 .12084 9.08730 .122269.09236
.07200 .11803 .07716 .11944 .08229 .12086 .08738 .12229 .09244
.07208 .11806 .07725 .11947 .08237 .12089 .08747 .12231 .09253
.07217 .11808 .07733 .11949 .08246 .12091 .08755 .12233 .09261
.11810 | 9.07742 .11951 9.08254
.07234 .11813 .07750 .11954 .08263
.07243 .11815 .07759 .11956 .08271.
.07252 .11817 .07768 .11958 .08280
9.07260 .11820 9.07776
.07269 .11822 .07785
.07277 .11824 .07793
.07286 .11827 .07802 .11968 .08314
.11925 .08161
.11928 .081.69
.11930 .08178
.12210 .09177
.12212 .09185
.12214 .09194
.12353 | 23
.12355 22
.12358 21
.119339.08186
.12217 9.09202
.12219 .09211 .12363 19
.12222 .09219
.12365 18
.12224 .09227 .12367 17
.12360 20
.12370 16
.12372 15
.12374 14
.12377 18
.120939.08764
.122369.09269
.12379 12
.119619.08288
.11963 .08297
.08306
.12096 .08772
.12098 .08781
.12100 .08789
.12103 9.08797
.12105 .08806
.12108 .08814
.12110 .08823
.12238 .09278
.12241
.12243 .09295
.12382 11
.09286
12384 10
.12386 9
.122459.09303
.12389 8
.12248 .09311
.12250 .09320
.12391 7
.12394 6
.12253 .09328
.12396 5
+149.07295 .11829 9.07810
57
58
5.9
+15'9.07329
.11970 | 9.08323
.07303 .11831 .07819 .11973 .08331 .12115 .08840
.07312 .11834 .07827 .11975 .08340 .12117
.07321 .11836 .07836 .11977 .08348 .12119
.11838 9.07845 .11980 9.08357
.121129.08831
.12255 | 9.09337
.12398 4
.12257 .09345
.12401 8
.08848
.12260
.09353
.12403 2
.08857
.12262
.09362 .12406 1
.12122 | 9.08865
.12265
9.09370 .12408 0
21h 19m
21h 15m
21h 18m
21h 16m
21h 17m

TABLE IV.
[Page 77
S
Haversines.
2h 45m 41° 15′
2h 47m 41° 45′
2h 46m 41° 30/
2h 48m 42° 0' 2h 49m 42° 15'
Log. IIav. Nat. IIav. Log. 1Tav. Nat. Ilav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
$
1
2
9.09370 .12408
.09379 .12410
.09387
9.09872
.09880
.12413 .09889
.125529.10371
.126979.10866
.12843 | 9.11358
.12989 60
3
.09395
.12415 .09897
.12555 10379
.12557 .10387
.12559 .10395
.12700 .10874
.12702 .10882
.12704 .10891
.12845
.12848
.11366
.12992 | 59
.11374
.12994 58
.12850 .11382
.12996 | 57
+
19.09404
607
5
.12418 9.09905
.09412 .12420 .09914
.09421 .12422 .09922
.09429 .12425 .09930
.12562 | 9.10404
.127079.10899
.128529.11391
.12564
.12567
.12569 .10429
.10412
.10420
.12709 .10907
.12712 .1.0915
.12714 .10923
+
29.09437
.124279.09939
9
.09446
10
.09454
11
.09462
+
39.09471 .124379.09972
18
.09479
.12439 .09980
14
.09488
.12442
.09989
15
.09496
.12444
.09997
.12572 | 9.10437
.12430 .09947 .12574 .10445
.12432 .09955 .12576 .10453
.12434 .09964 .12579 .10462
.12581 9.10470
.12584 .10478
.12586 .10486
.12588
.127179.10932
.12719 .10940
.12721 .10918
.12724 .10956
.12855 .11399
.12857
.12860 .11415
.12862 | 9.11423
.12865
.12867
.12999 56
.13001
55
.11407
.13004 | 54
.13006 53
.13009 52
.11431
.13011 51
.11440
.13014 50
.12870 .11448
.1301649
.127269.10965
.128729.11456
.13018 48
.10495
.12729 .10973
.12731 .10981
.12733 .10989
.12874 .11464
.13021 47
.12877
.12879
.11472
.13023 46
.11480
.13026 | 45
+
4'
9.09504
.124469.10005
.12591 | 9.10503
.127369.10997
.128829.11489
.13028 44
17
.09513
.12449 .10014
.12593
.10511
.12738 .11006
.12884
.11497
.13031 | 43
18
.09521
.12451 .10022
.12596
.10519
.12741
.11014
.12887
.11505
.13033 | 42
19
.09529
.12454 .10030
.12598
.10528
.12743
.11022
.12889 .11513
.13036 | 41
+ 5'
9.09538
.124569.10039 .12600
9.10536
.12746 | 9.11030
.128919.11521
.13038 40
21
.12458 .10047 .12603
22
23
.09546
.09555 .12461 .10055 .12605 .10553
.09563 .12463 .10064 .12608 .10561
.10544 .12748 .1.1038
.12750 .11047
.12753 .11055
.12894 .11529
.13041 89
+
6/9.09571
.124669.10072 .126109.10569
.127559.11063
25
26
27
.09580 .12468 .10080
.09588 .12470 .10088
.09596 .12473 .1.0097
.12613 .10577
.12615 .10586
.12617 .10594
+
7/9.09605
.124759.10105
.126209.10602
29
.09613
.12478 .10113
.12622 .10610
80
.09622
.12480 .10122
31
.09630
.12482 .10130
.12625 .10619
.12627 .10627
.12758 .11071
.12760 .11079
.12763 .11088
.12765 | 9.1.1096
.12767 .11104
.12770 .11112
.12772 .11120
.12896 .11538
.12899 .11546
.12901 9.11554
.12904 .11562
.13043 38
.1304537
.13048 36
.13050 35
.12906 .11570
.13053 | 34
.12909 .11578
.13055 33
.12911 9.11586
.12913 .11595
.13058 32
.13060 31
.12916 .11603
.12918 .11611
.13063 30
.13065 29
+
8/9.09638
.12485 9.10138
.126299.10635 .127759.11129
.129219.11619
.13067 28
33
.09647
34
.09655
35
.09663
.12487 .10147 .12632 .10643
.12490 .10155 .12634 .10652
.12492 .10163 .12637 .10660
.12777 .11137
.12780
.12782 .11153
.12923 .11627
.13070 27

.11145
12926 .11635
.13072 26
+
9/9.09672
.124949.10172 .126399.10668
.127849.11161
87
38
39
41
42
43
.09680 .12497 .10180 .12641 .10676
.09688 .12499 .10188 .12644 .10685
.09697 .12502 .10196 .12646 .10693
.12649 | 9.10701
.12651 .10709
.12654 .10718
.12656 .10726
.12787 .11170
.12789 .11178
.12792 .11186
12928 .11643
.12930 9.11652
.12933 .11660
.12935
.12938 .11676
.13075 25
1307724
.13080 | 23
.11668
.13082 22
.13085 21
45
46
47
+12
49
50
51
+ 13
58
54
55
57
58
59
.128339.11325
.09847
.09856
.09864
.125529.10371
.12545 .10346 .12690 .10841 .12836 .11333
.12547 .10354 .12692 .10849 .12838
.12550 .10362 .12695 .10858 .12840
.12697
.11342
.11350
9.10866
.12843 | 9.11358
+109.09705 .12504 9.10205
.09713 .12506 .10213
.09722 .12509 .10221
.09730 .12511 .10230
+119.09739 .12514 9.10238
.126589.10734
.12661 .10742 .12806 .11235
.12663 .10751 .12809 11243
.12666 .10759 .12811 11252
.09717 .12516 .10246
.09755 .12519 .10255
.09764 .12521 .10263
9.09772
.09780 .12526 .10279
.09789 .12528 .10288
.09797 .12531 .10296
9.09805 .12533 | 9.10304
.09814 .12536 .10313
.09822 .12538 .10321
.09830 .12540 .10329
.125239.10271 .126689.10767
.128149.11260 .129609.11749
.12671 .10775 .12816 .11268
.12673 .10784 .12818 .11276
.12675 .10792 .12821 .11284
.12962 .11757 .13109 11
.12965 .11766 .13112 10
.12967 .11774 .13114 9
.12970 9.11782 .13116
.12680 .10808 .12826 .11301 .12972 .11790 .13119
.12683 .10816 .12828 .11309 .12974 .11798 .13121
.12685 .10825 .12831 .11317 .12977 .11806 .13124 5
.129799.11814 .13126
.12982 .11822 .13129
.12984
.12987
.126789.10800 .128239.11292
149.09839 .125439.10337 .126879.10833
+ 159.09872
.12989 9.11847 .13136 0
.127949.11194 .129409.11684
.13087 20
.12797 .11202
.12799 .11211
.12801 .11219
.12943 .11692
.13090 19
.12945 .11700
.12948 .11709
.13092 18
.13095 17
.128049.1.1227 .129509.11717
.13097 16
.12952 .11725
.12955 .1.1733
.12957 .11741
.13099 15
.13102 14
.13104 13
.13107 12
8
766
4
.11831 .13131
.11839 .13134 1
21h 14m
21h 10m
21h 13m
21h 11m
21h 12m

Page 78]
TABLE IV.
Haversines.
S
2h 50m 42° 30'
2h 51m 42° 45′
2h 52m 43° 0′
2h 53m 43° 15'
2h 54m 43° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
0
9.11847
1
.13136 9.12332
.11855 .13139 .12341
.13284 9.12815
.13286 .12823
2
.11863
3
.11871
.13141 .12349
.13143
.13289
.12357
.13291
+
19.11879
.13146
9.12365
.12831
.12839
.13294 9.12847
5
.11887
.13148 .12373
.13296 .12855
6
.11895
.13151
.12381
.13299
7
.11904
.13153
.12389
.13301
.12863
.12871
+ 29.11912
.13156
9.12397
.13304 9.12879
.13450
.13452
.13432 9.13295
.13435 .13303
.13437 .13311
.13440 .13319
.13442 9.13326
.13445 .13334
.13447 .13342
.13350
9.13358
.13581 9.13771
.13731 60
.13584 .13779
.13586 .13787
.13589 .13795
.13734 59
.13736 58
.1373957
.135919.13803
.13741 56
.13594 .13811
.13596
.13599 .13827
.13601 | 9.13834
.13744 55
.13819
.13746 54
.13749 53
.1375152
9
.11920
.13158
.12405
10
.11928
.13161
11
.11936
.13163
.12413
.12421
+
3' 19.11944
.13166 9.12429
.13306 .12887
.13309 .12895
.13311 .12903
.13314 9.12911
13
.11952
.13168
.12437
14
.11960
.13171 .12445
15
.11968
.13173 .12453
+49.11977 .13175 9.12461
17
.11985
.13178
.12470
.13316
.13318 .12927
.13321 .12935
.13323 9.12943
.13326
12919
.13455 .13366
.13457 .13374
.13460 .13382
.13462 9.13390
.13465 .13398
.13467 .13406
.13470 .13414
.13604 .13842
.13754 51
.13607
.13609 .13858
.13850
.13756 50
.13759 49
.136119.13866
.13761 48
.13614 .13874
.13764 47
.134729.13422
.12951
18
.11993
.13180
.12478
.13328 .12959
.13474 .13430
.13477 .13438
.13616 .13882
.13619
.13621 9.13898
.13624 .13906
.13766 46
.13890
.13769 45
.13771 44
.13774 43
.13626 .13913
.13776 42
19
.12001
.13183
+ 5'
9.12009
.13185
21
22
.12025
23
.12033
+
6'
9.12041
22 19
25
.12050
26
.12058
27
.12066
.13203 .12550
+
79.12074
.13205 9.12558
29
.12082
30
.12090
31
.12098
.13207 .12566 .13356
.13210 .12574 .13358
.13212 .12582 .13360
.12486 .13331 .12967
9.12494 .13333 9.12975
.12017 .13188 .12502 .13336 .12983 .13484
.13190 .12510 .13338 .12991 .13487 .13470
.13193 .12518 .13341 .12999 .13489 .13478
.13195 9.12526 .13343 9.13007 .13492 9.13486
.13198 .12534 .13346 .13015 .13494 .13494
.13200 .12542 .13348 .13023 .13497 .13501
.13351 .13031 .13499 .13509
9.13039 .13502 9.13517
.13504 .13525
.13479 .13446
.13629 .13921
.13779 41
.13482 9.13454
.13631 9.13929
.13781 40
.13462
.13634 .13937
.13784 39
.13636 .13945
.13639
.13641 9.13961
.13786 38
.13953
.13789 37
.13791 36
.13644 .13969
.13794 35
.13646 .13977
.13796 34
.13649 .13985
.13799 383

.13353
.136519.13992
13801 | 32
.13047
.13654 .14000
.13804 31
.13055
.13507 .13533
.13656 .14008
.13806 30
.13063
.13509 .13541
.13659 .14016
.13809 29
+ 8'
9.12106
33
.12114
34
.12122
35
.12130
+ 9
9.12139
37
38
39
.132159.12590 .13363 9.13071
.13217 .12598 .13365 .13079 .13514 .13557
.13220 .12606 .13368 .13087 .13517
.13222 .12614 .13370 .13095 .13519 .13573
.13225 9.12622 .13373 9.13103 13522 | 9.13581
.12147 .13227 .12630 .13375 .13111 .13524
.12155 .13230 .12638 .13378 .13119 .13527
.12163 .13232 .12647 .13380 .13127 .13529 .13605
.135129.13549
.13661 9.14024
.13811 28
.13664 .14032
.13814 27
.13565 .13666 .14040
.13816 26
.13669 .14048
.13819 25
.13671 9.14056
.13822 24
.13589
.13674 .14063
.13824 23
.13597
.13676 .14071
.13827 22
+109.12171 .132359.12655 .13383
9.13135
.135329.13613
41
42
43
45
46
47
+12
9.12236
.132549.12719
49
50
51
53
54
55
57
58
.12308 .13276 .12791
.12316 .13279 .12799
.13427
59
.12324 .13281 .12807 .13430
+15' 9.12332
.13284 9.12815
.134329.13295
.12179 .13237 .12663 .13385 .13143
.12187 .13239 .12671 .13388 .13151
.12195 .13242 .12679 .13390 .13159
+119.12203 .132449.12687 .13393 9.13167
.12211 .13247 .12695 .13395 .13175
.12219 .13249 .12703 .13398 .13183
.12228 .13252 .12711 .13400 .13191
.13699 .14142
.13403 9.13199 .135529.13676 .13701 9.14150
.12244 .13257 .12727 .13405 .13207 .13554 .13684 .13704
.12252 .13259 .12735 .13408 .13215 .13557 .13692 .13706 .14166
.12260 .13262 .12743 .13410 .13223 .13559 .13700 .13709 .14174 .13859 9
13' 9.12268 .13264 9.12751 .13412 9.13231
.13711 9.14182 .13862 8
.12276 .13267 .12759 .13415 .13239 .13564 .13716 .13714 .14190 .13864 ry
.12284 .13269 .12767 .13417 .13247 .13567 .13724 .13716 .14197 .13867 6
.12292 .13272 .12775 .13420 .13255 .13569 .13732 .13719 .14205 .13869 5
149.12300 .13274 9.12783 .13422 | 9.13263 .13571 9.13739 .13721 9.14213 .13872 4
.13425 .13271 .13574 .13747 .13724 .14221 .13874 3
.13279 .13576 .13755 .13726 .14229 .13877 2
.13287 .13579 .13763 .13729 .14237 .13879 1
.13581 9.13771 .13731 9.14245 .13882 0
.13534 .13621
.13537 .13628
.13539 .13636
.13679
.13681 9.14087
.13684
.13686
.13689 .14111
.14079
.13829 21
.13832 20
.14095
.13834 19
.14103
.13837 18
.13839 17
.135429.13644
.13691 9.14119
.13544 .13652 .13694 .14127
.13547 .13660 .13696 .14134
.13549 .13668
.13842 16
.13844 15
.13847 14
.13849 13
.13852 12
.14158
.13854 11
.13857 10
.135629.13708
21h 9m
21h 5m
21h 8m
21h 6m
21h 7m

TABLE IV.
[Page 79
Haversines.
2h 55m 43° 45'
2h 57m 44° 15′
2h 58m 44° 30′
8
0723
1
H+
19.14276
567
Log. Hav. Nat. Hav.
9.14245 .13882 9.14715 .14033 9.15183
.14252 .13884 .14723 .14035 .15190
.14260 .13887 .14731 .14038 .15198
.14268 .13889 .14739 .14041 .15206
.13892 9.14746 .14043 9.15214
.14284 .13894 .14754 .14046 .15221
.14292 .13897 .14762 .14048 .15229
.14300 .13899 .14770 .14051 .15237
2h 56m 44° 0'
2h 59m 44° 45′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
.14185
.14187
.14190
.14192 .15670
9.15647 .14337 9.16109
.15655 .14340
.15663 .14343 .16124
.14345 .16132
.14491 60
.16117
.14493 59
.14496 58
.14498 57
.141959.15678
.14198 .15686
.14200 .15694
.14203 .15701
+
29.14307
9
.14315
10
.14323
11
.14331
.139029.14778
13904 .14785
.13907 .14793
.13909 .14801
.140539.15245
.142059.15709
.14348 9.16140
.14350 .16147
.14353 .16155
.14355 .16163
.14358 9.16170
.14056 .15253
.14058
.14061 .15268
.15260
.14208 .15717
.14210
.14213 .15732
.14360 .16178
.14501 56
.14504 | 55
.14506 54
.1450953
.14511 52
.14514 51
.15724
.14363 .16186
.14516 50
.14366 .16193
.14519 49
+39.14339
.139129.14809
.140639.15276
.142159.15740
.14368 9.16201
.14521 48
13
.14347
14
.14355
15
.14362
.13914 .14817 .14066 .15284
13917 .14824
.13920 .14832
.14218 .15748
.14371 .16209
.14524 47
.14068 .15291
.14220
.14071 .15299
.14223
.15755 .14373
.15763 .14376
.16216
.14527 46
.16224
.14529 45
+
49.14370 .139229.14840
.140739.15307
.14226
9.15771 .14378
9.16232
.14532 44
17
.14378
.13925 .14848
.14076 .15315
.14228
.15778 .14381
.16239
.14534 43
18
.14386
.13927
19
.14394
+
5'
9.14402
21
.14410
22
.14417
23
.14425
.14856 .14079 .15322
.13930 .14863 .14081 .15330 .14233
.139329.14871 .14084 9.15338
.13935 .14879 .14086 .15346
.13937 .14887 .14089 .15353
.13940 .14895 .14091 .15361
.14231
.15786
.14383
.16247
.14537 42
.15794
.14386
.16255
.14539 41
.14236 9.15802 .14388
.14238 .15809
.14241 .15817
.14243 .15825
9.16262
.14542 40
.14391 .16270
.14545 39
.14394
.16278
.14547 38
.14396
.16285
.14550 37
+ 6'
9.14433
.13942 9.14902
.140949.15369
.14246
9.15832
.14399 9.16293
.14552 36
25
.14441
.13945
26
.14449
.13947
27
.14457
.13950
+
9.14465
29
.14472 .13955
30
.14480
31
.14488 .13960
+
89.14496
33
34
35
+ 9
9.14527
37
.14535
.13975 .15004
38
.14543
39
.14551
109.14559
41
42
43
45
46
47
.14910 .14096 .15377
.14918 .14099 .15384 .14251 .15848
.14926 .14101 .15392 .14253 .15855
.13952 9.14934 .14104 9.15400 .14256 9.15863
.14941 .14106 .15408 .14259 .15871
.13957 .14949 .14109 .15415 .14261 .15879
.14957 .14111 .15423 .14264 .15886
.13962 9.14965
.14266 9.15894
.14504 .13965 .14973
.14269 .15902
.14512 .13967 .14980
.15446 .14271 .15909
.14519 .13970 .14988 .14122 .15454 .14274 .15917
.13972 9.14996 .14124 9.15462 .14276 9.15925
.14127 .15470 .14279 .15932
.13977 .15012 .14129 .15477 .14281 .15940
.13980 .15019 .14132 .15485 .14284 .15948
.13983 9.15027
.14566 .13985 .15035
.14574 .13988 .15043
.14582 .13990 .15050
119.14590 .13993 9.15058
.14598 .13995 .15066
.14606 .13998 .15074
.14613 .14000 .15082
.14248
.15840 .14401 .16301
.1455535
.14404
.16308
.14557 34
.14406 .16316
.14560 33
.14409 9.16324
.14562 32
.14411 .16331
.14565 31
.14414
.16339
.14568 | 30
.14417 .16346
.14570 29
.14114 9.15431
.14419 9.16354
.14573 | 28
.14116
.14119
.15439
.14422 .16362
.14575 27
.14424 .16369
.14427
.14429 9.16385

.14578 26
.16377
.1458025
.14583 24
.14432 .16392
.14586 23
.14434 .16400
.14437 .16408
.14588 22
.14591| 21
.141349.15493
49
50
51
+129.14621 .14003 9.15089
.14629 .14005 .15097
.14637 .14008 .15105
.14645 .14010 .15113 .14162 .15578
.14137 .15500
.14139 .15508
.14142 .15516
.14144 9.15524
.14147 .15531
.14149 .15539
.14152 .15547
.14154 9.15555
.14157 .15562
.14160 .15570
.142879.15955
.14289 .15963
.14292 .15971
.14294 .15978 .14447 .16438
.144409.16415
.14593 20
.14442 .16423
14445
.14596 19
.16431
.14598 18
.14601 17
.14297 9.15986
.14299 .15994
.14302 .16002
.144509.16446
14604 16
.14452 .16453
.14455 .16461
.14606 | 15
I
.14609 14
.14304 .16009 .14457 .16469
.14307 9.16017 .144609.16476
.14309 .16025 .14463 .16484
.14611 13
.14614 12
.14616 11
139.14653 .14013 9.15120
.14165 9.15585
53
.14660 .14015 .15128
.14167 .15593
54
.14668
.14018 .15136
.14170 .15601
55
.14676
+14' 9.14684
57
.14692
58
.14699
59
+15
.14707
9.14715
.14020 .15144
.14023 9.15152 .14175
.14025 .15159 .14177
.14028 .15167 .14180
.14030 .15175 .14182
.14033 9.15183 .14185
.14312 .16032 .14465 .16492 .14619 10
.14315 .16040 .14468 .16499 .14622 9
.14317 9.16048 .14470 9.16507 .14624 8
.14320 .16055 .14473 .16515 .14627 7
.14322 .16063 .14475 .16522 .14629 6
.14172 .15609 .14325 .16071 .14478 .16530 .14632 5
9.15616 .14327 9.16078 .14480 9.16537 .14634 4
.15624 .14330 .16086 .14483 .16545 .14637 Ꮽ
.15632 .14332 .16094 .14486
.15640 .14335 .16101 .14488
9.15647 .14337 9.16109 .14491
.16553 .14639 2
.16560 .14642 1
9.16568 .14645 0
21h 4m
21h 0m
21h sm
21h 1m
21h 2m

Page 801
TABLE IV.
Haversines.
S
0
9.16568
1
2
.14645
.16576 .14647
.16583 .14650 .17039
9.17024
.17032 .14802
.14804
.14799 9.17477
.17485
.17492
3h 0m 45° 0'
3h 1m 45° 15'
3h 2m 45° 30'
3h 3m 45° 45'
3h 4m 46°0'
Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
.151109.18376
S
3
.16591 .14652 .17047
.14807
.17500
.14955 9.17928
.14957 .17935
.14960 .17943
.14962 .17950
.15267 60
.15113 .18383
.15116
.15270 59
.18390
.15272 58
.15118 .18398 .15275 57
+
19.16598
.14655 9.17054
.14810 9.17507
.14965 9.17958
.15121 9.18405
.15278 56
667
5
.16606
.14658 .17062
.14812
.17515
.14968
.17965
.15123 .18413
.15280 55
.16614
.14660
.17069
.14815
.17522
.14970
.17973
.15126 .18420
.15283 54
.16621
.14663 .17077
.14817
.17530
.14973
.17980
.15129 .18428
.15285 53
+
29.16629
.146659.17085
.14820 9.17538
.14975
9.17988
.151319.18435
.1528852
9
.16637
10
.16644
11
.16652
+ 3'
9.16659
13
.16667
.17122
14
.16675
.14668 .17092 .14822 .17545
.14670 .17100 .14825 .17553
.14673 .17107 .14828 .17560
.14676 9.17115
.14678
.14681 .17130
.14978 .17995
.14981 .18003
.14983 .18010
.15134 .18443
.15137 .18450
.15291 51
.15293 50
.148309.17568
.149869.18018
15
.16682
.14683
+
4/9.16690
.14686
.17138
9.17145
17
.16697
.14688
.14833 .17575
.14835 .17583
.14838 .17590
.14841 9.17598
.17153 .14843 .17605
.14988 .18025
.14991 .18033
.14993 .18040
.14996 9.18048
.15139 .18457
.15142 9.18465
.15144 .18472
.15147
.15150 .18487
.15296 49
.15298 48
.15301 47
.18480
.15304 46
.15306 45
.151529.18495
.15309 | 44
.14999
.18055
.15155 .18502
.15312 43
18
.16705
.14691 .17160
.14846 .17613
.15001
.18062
.15157 .18509
.1531442
19
.16713
.14693.17168
.14848 .17620
.15004
.18070
.15160 .18517
.15316 41
+
59.16720
.14696 9.17175
.148519.17628
.15006
9.18077
.15163 9.18524
.15319 40
21
.16728 .14699
.17183
.14853 .17635
.15009
.18085
.15165 .18532
.15322 39
22
23
.16735
.16743
.14701
.14704 .17198
.17191
.14856 .17643
.15012
.14859 .17650
.18092
.15014 .18100
.15168 .18539
.15325 38
.15170 .18547
.15327 37
+
6/9.16751 .147069.17206
.14861
9.17658
.150179.18107
.151739.18554
.15330 36
25
.16758
.14709 .17213
.14864
.17665
.15019 .18115
.15176 .18561
.15333 35
26
.16766
.14712
.17221
.14866
.17673
.15022 .18122
.15178 .18569
.15335 34
27
.16774
.14714
.17228
.14869 .17680
+
79.16781
.14717 9.17236
.148729.17688
.15025
.15027
.18130
.15181 .18576
.15337 33
9.18137
.15183
9.18584
.15340 | 32
29
30
.16796
31
.16804
16789 .14719 .17243
.14722 .17251
.14724 .17259
.14874 .17695
.14877 .17703
.14879 .17710
+
8/9.16812
.147279.17266
.14882 9.17718
33
.16819
.14730 .17274
.14885 .17725
.15030 .18145
.15032
.15035
.15038 9.18167
.15040 .18174
.15186
.18591
.15343 | 31
.18152
.15189
.18598
.15346 30
.18160
.15191 .18606
.15348 29
.15194 9.18613
.15351 28
.15197
.18621
.15353 27

34
.16827
35
.16834
+
9/9.16842
37
.14732 .17281 .14887
.14735 .17289 .14890
.14737 9.17296
.16850 .14740
.17733
.15043 .18182
.15199
.18628
.15356 | 26
.17304
38
.16857 .14743 .17311
39
.16865 .14745 .17319
.14900
.17740
.14892 9.17748
.14895 .17755
.14898 .17763
.17770
.15045 .18189 .15202
.18636
.15359 25
.150489.18197
.15204
9.18643
.15361 24
.15051 .18204 .15207 .18650
.15053 .18212 .15210
.15056 .18219
.15364 23
.18658
.15367 | 22
.15212 .18665
.15369 21
+109.16872 .14748 9.17327 .14903
9.17778
.150589.18227
.152159.18673
.15372 20
41
42
43
.16880 .14750 .17334 .14905
.16887 .14753 .17342 .14908 .17793
.16895 .14755 .17349 .14910 .17800
.17785
+119.16903 .147589.17357 .149139.17808
45
.16910
46
47
+
49
50
51
.16918
.16925
129.16933 .147689.17387 .149239.17838
.16941 .14771 .17394 .14926 .17845
.16948 .14773 .17402 .14929 .17853
.16956 .14776 .17409 .14931 .17860
.14760 .17364 .14916 .17815
.14763 .17372 .14918 .17823
.14766 .17379 .14921 .17830
.15061 .18234
.15064 .18242
.15066 .18249
.15069
.15071
.15074 .18271
.15077 .18279
.15217 .18680
.15374 19
.15220
.18687
.15377 18
.15222 .18695
.15379 17
9.18256
.152259.18702
.15382 16
.18264
.15228 .18710
.15230
.15233 .18724
.15385 15
.18717
.15388 14
.15390 18
.150799.18286
.152369.18732
.15393 12
.15082 .18294
.15084 .18301
.15087 .18309
.15238 .18739
.15395 | 11
.15241
.15244 .18754
.18747
.15398 10
.15401 9
+139.16963 .14779 9.17417
.149349.17868
.150909.18316
.152469.18762
.15403 8
53
54
55
57
58
59
+15'
.16971 .14781 .17425 .14936 .17875
.16979 .14784 .17432 .14939 .17883
.16986 .14786 .17440 .14942 .17890
+149.16994 .147899.17447 .14944 9.17898
.17001 .14791 .17455 .14947 .17905 .15103 .18353 .15259 .18798 .15416 3
.17009 .14794 .17462 .14949 .17913 .15105 .18361 .15262 .18806 .15419 2
.17016 .14797 .17470 .14952 .17920 .15108 .18368 .15264 .18813 .15422 1
9.17024 .14799 9.17477 .14955 9.17928 .15110 9.18376 .152679.18821 .15424 0
.15092 .18324
.15095 .18331
.15097 .18338
.151009.18346
.15249 .18769
.15251 .18776
.15254 .18784
.152579.18791
.15406 7
.15409
.15411 5
.15414 4
20h 59m
20h 55m
20h 58m
20h 56m
20h 57m

TABLE IV.
[Page 81
3h 5m 46° 15'
Haversines.
3h 7m 46° 45'
3h 8m 47° 0'
3h 6m 46° 30′
3h 9m 47° 15′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
S
0
9.18821
.154249.19263 .15582
9.19703
.157419.20140
.15900 9.20574
1
.18828
.15427
2
Соло
.18835
.15430
.19270
.19278
.15585
.15588
.19710
.19717
3
.18843
.15432 .19285
.15590 .19725
.15743 .20147
.15746 .20154
.15748 .20162
.15903 .20582
.15905 .20589
.15908 .20596
+
19.18850
.154359.19292
.155939.19732
.157519.20169
.159119.20603
667
5
+
29.18880
9
.18887
10
.18895
11
.18902
.18858 .15437 .19300
.18865 .15440 .19307
.18872 .15443 .19315
.15445 9.19322
.15448 .19329 .15606 .19769
.15451 .19337 .15609 .19776
.15453 .19344 .15611 .19783
.15595 .19739
.15598 .19747
.15601 .19754
.15754 .20176
.15757 .20184
.15759 .20191
.15913 .20611
.15916
.15919 .20625
.20618
.16060 | 60
.16063 59
.16065 58
.16068 | 57
.16071
.16073 55
.16076 54
56
.16079 53
.156039.19761 .157629.20198
.159219.20632
.16081 52
.15765 .20205
.15767
.15770 .20220
.15924 .20639 .16084 51
.20213
.15927 .20647
.15929 .20654
.16087 50
.16089 49
+
39.18909
.154569.19351
.156149.19790
.157739.20227
.15932 9.20661
.16092 48
13
.18917
14
15
+
.15458 .19359 .15617 .19798
.18924 .15461 .19366 .15619 .19805
.18932 .15464 .19373 .15622 .19812
49.18939 .15466 9.19381
.15775 .20234
.15778 .20242
.15781 .20249
.15935
.15937
.20668
.1609547
.20675
.16097 46
.15940 .20683
.1610045
.156259.19820 .157839.20256
.159439.20690
.16103 44
17
18
19
18946 .15469 .19388 .15627 .19827 .15786 .20263
.18954 .15472 .19395 .15630 .19834 .15789 .20271
.18961 .15474 .19403 .15632 .19842 .15791 .20278
+59.18968
.154779.19410
.156359.19849
.157949.20285
21
.18976
.15479 .19417
22
.18983
23
.18991
.15482 .19425
.15485 .19432
.15638 .19856
.15640 .19863
.15643 .19871
.15796 .20292
.15799 .20300
.15802 .20307
+
69.18998
.154879.19439 .15646
9.19878
.158049.20314
.15945 .20697
.15948
.15951 .20712
.15953 9.20719
.15956
.15959 .20733
.15961 .20740
.15964 9.20748
.16105 43
.20704
.16108 42
.16111 41
.16113 40
.20726
.16116 39
.16119 | 38
.16121 37
.16124 36
25
.19005
.15490 .19447 .15648
26
.19013
27
.19020
+
9.19027
.19885
.15493 .19454 .15651 .19893
.15495 .19461 .15654 .19900
.15498 9.19469
.15807 .20321 .15967
.15810 .20329
.15812 .20336
.20755
.1612735
.15969 .20762
.15972 .20769
.16129 34
.1613233
.156569.19907
.158159.20343
.159759.20776
.16135 32
29
30
31
.19035 .15501 .19476 .15659 .19914
.19042 .15503 .19483
.19050 .15506 .19491
.15662 .19922
.15664 .19929
.15818 .20350
.15820 .20358
.15823 .20365
.15977 .20784
.15980
.16137 31
.20791
.16140 30
.15983 .20798
.16143 29
+ 8'
9.19057
.15509 9.19498
.156679.19936 .158269.20372
.159859.20805
.16146 28
33
.19064
34
35
.19072
.19079
.15511 .19505 .15670 .19944 .15828 .20379
.15514 .19513 .15672 .19951 .15831 .20386
.15516 .19520 .15675 .19958 .15834 .20394
.15988 .20812
.16148 27
.15991
.20820
.16151 26

.15993 .20827
.16154 25
+
9/9.19086 .155199.19527 .15677 9.19965
.158369.20401
.159969.20834
.16156 24
3'7
.19094
38
39
.19101
.19109
.15522 .19535 .15680 .19973
.15524 .19542 .15683 .19980
.15527 .19549 .15685 .19987
.15839 .20408
.15842 .20415
.15844 .20423
.15999 .20841
.16001
.16159 23
.20848
.16162 22
.16004 .20856
.16164 21
+109.19116 .155309.19557 .15688 9.19995
.158479.20430
.160079.20863
.16167 20
41
42
43
.19123 .15532 .19564 .15691 .20002
.19131 .15535
.19138 .15537
.19571 .15693 .20009
.19579 .15696 .20016
.15850 .20437
.15852 .20444
.15855 .20452
.16009 .20870
.16012 .20877
.16170 19
16172 18
.16015 .20884
.16175 17
+119.19145 .155409.19586 .156999.20024
.158589.20459 .160179.20891
.16178 16
45
.19153 .15543 .19593
46
.19160
47
.19167
.15545 .19600
.15548 .19608
.15701 .20031
.15704 .20038
.15706 .20045
+129.19175 .155519.19615
.157099.20053
49
50
51
+
53
54
55
.19212
.19219
.19226
57
58
59
+159.19263 .155829.19703
+149.19234 .155729.19674 .157309.20111 .158899.20546
.19241 .15574 .19681 .15733 .20118 .15892 .20553
.19248 .15577 .19688 .15736 .20125 .15895 .20560
.19256 .15580 .19696 .15738 .20133 .15898 .20567
.15900 9.20574
.157419.20140
.16023 .20906
.16025 .20913
.16028 9.20920 .16188 12
.19182 .15553 .19622 .15712 .20060 .15871 .20495 .16031 .20927 .16191 11
.19190 .15556 .19630 .15714 .20067 .15874 .20502 .16033 .20935
.19197 .15559 .19637 .15717 .20075 .15876 .20509 .16036 .20942 .16196 9
139.19204 .155619.19644 .157209.20082 .15879 9.20517 .16039 9.20949 .16199 8
.15564 .19652 .15722 .20089 .15881 .20524 .16041 .20956 .16202
.15566 .19659 .15725 .20096 .15884 .20531 .16044 .20963 .16204
.15569 .19666 .15728 .20104 .15887 .20538 .16047 .20971 .16207
.16049 9.20978 .16210
.16052 .20985 .16212 3
.16055 .20992 .16215 2
.16057 .20999 .16218
.160609.21006 .16220 0
.15860 .20466
.15863 .20473
.15866 .20481
.16020 .20899
.16180 15
.16183 14
.16186 13
.158689.20488
16194 10
4
20h 54m
20h 53m
20h 52m
20h 51m
20h 50m
63355°-17-6

Page 82]
TABLE IV.
Haversines.
S
0
9.21006
1
2
соло
3
+
1/9.21035
5
6
77
.16220 9.21436
.21014 .16223 .21443
.21021 .16226 .21450
.21028 .16229 .21457
.16231 9.21464
.21042 .16234 .21471
.21049 .16237 .21479
.21057 .16239 .21486
3h 10m 47° 30'
3h 11m 47° 45′
3h 12m 48° 0'
3h 13m 48° 15' 3h 14m 48° 30'
Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
.167069.22709
s
.16382 9.21863 .16543 9.22287
.16384 .21870
.16387 .21877
.16390 .21884
.16392 9.21891
.16546 .22294
.16549 .22301
.16709 .22716
.16869 60
.16872 59
.16711 .22723
.16874 58
.16552 .22308 .16714 .22730
.16877 57
.165549.22315
.16717 9.22737
.16395 .21898
.16398
.16401
.21905
.21912
.16557 .22322
.16560 .22329
.16562 .22336
.16720 .22744
.16722 .22751
.16725 .22758
.16880 56
.16883 55
.1688554
.16888 53
+ 29.21064
.162429.21493
9
.21071
10
.21078
.16247
11
.21085
.16250
+
39.21092
.16253 9.21521
13
.21100
14
.21107
15
+
.21114
49.21121 .16263
17
.21128
18
.21135
19
.21143
.16255 .21529
.16258 .21536
.16261 .21543
9.21550
.16266 .21557
.16269 .21564
.16271 .21571
+
20 20 10
5'
9.21150
.162749.21578
.164369.22004
21
.21157
.16277 .21585
22
.21164
.16280
23
.21171
.16282
+
69.21178
.16285
.164469.22033
25
.21186
.16288
26
.21193
27
.21200
+
79.21207
29
.16460 .22068
30
31
.16462
.16465
+ 8'
.16468 | 9.22089
33
34
35
+
9/
.164799.22118
37
38
39
.16481 .22125
.16484 .22132
.16487 .22139
+109.21293
.164899.22146
41
42
43
+119.21322
4.5
.21329
46
47
.21336
.21343
+12
9.21350
49
50
51
.21364
.21372
16403 | 9.21919
.16245 .21500 .16406 .21926 .16568 .22350
.21507 .16409 .21934 .16571 .22358
.21514 .16411 .21941 .16573 .22365
.16414 9.21948 .16576 9.22372
.16417 .21955 .16579 .22379
16419 .21962 .16581 .22386
.16422 .21969 .16584 .22393
.16425 9.21976 .16587 9.22400
.16427 .21983 .16589 .22407
.16430 .21990 .16592 .22414
.16433 .21997 .16595 .22421
.16598 9.22428
.16438 .22011 .16600 .22435
.21593 .16441 .22019 .16603 .22442 .16766 .22863
.21600 .16444 .22026 .16606 .22449 .16768 .22870
9.21607
.16608 9.22456 .16771 9.22877
.21614 .16449 .22040 .16611 .22463 .16774 .22884
.16290 .21621 .16452 .22047 .16614 .22470
.16293 .21628 .16454 .22054 .16616 .22477
.16296 9.21635 .16457 | 9.22061
.21214 .16298 .21642
.21221 .16301 .21650
.21229 .16304 .21657
9.21236 .16306 9.21664
.21243 .16309 .21671 .16471
.21250 .16312 .21678 .16473 .22103
.21257 .16314 .21685 .16476 .22111
9.21264 .16317 9.21692
.21272 .16320 .21699
.21279 .16323 .21706
.21286 .16325 .21714
.16328 | 9.21721
.21300 .16331 .21728 .16492 .22153
.21307 .16333 .21735 .16495 .22160
.21314 .16336 .21742 .16498 .22167
.16339 9.21749 .16500 9.22174
.16341 .21756 .16503 .22181
.16344 .21763 .16506 .22188
.16347 .21770 .16508 .22195
.16349 9.21778 .16511 9.22202
.21357 .16352 .21785 .16514 .22209
.16355 .21792 .16516 .22216
.16357 .21799 .16519 .22224
.165659.22343
.167289.22765
.16891 52
.16730 .22772
.16733
.16893 51
.22779
.16896 50
.16736 .22786
.16899 49
.167389.22793
.16902 48
.16741 .22800
.16904 47
.16744 .22807
.16747
.16749 9.22821
.16752 .22828
.16907 46
.22814
.16910 45
.16913 | 44
.16915 43
.16755
.16757 .22842
.22835
.1691842
.16921 41
.167609.22849
.16924 40
.16763 .22856
.16926 39
.16929 38
.16932 37
.16934 36
.16937 35
.166199.22484
.22075
.22082
.16622 .22491
.16625 .22498
.16627 .22505
.16777 .22891
.16779
.16782 9.22905
.16785 .22912
.16787 .22919
.16790 .22926
.16940 34
.22898
.16943 33
.16945 32
.16948 | 31
16951 30
.16953 29
.166309.22512
.167939.22933
16956 | 28
.22096
.16633 .22519
.16795 .22940
.16959 27

.16635 .22526
.16638
.16641 9.22540
.16644 .22547
.16646
.16649 .22562
.16652 9.22569
.16654
.16657 .22583
.16660 .22590
.16798 .22947
.16962 26
.22533 .16801 .22954
.16964 25
.16804 9.22961
.16967 24
.16806 .22968
.16970 23
.22555 .16809 .22975
.16973 22
.22576
.16812 .22982
.16815 | 9.22989
.16817
.16820
.16975 21
.16978 20
.22996
16981 19
.23003
.16984 18
.16823 .23010
.16986 17
.166639.22597
.168259.23017
.16989 16
.16665 .22604
.16668 .22611
.16671 .22618
.16828 .23024
.16831
.16834 .23038
.16992 15
.23031
.16994 14
.16997 13
.16673
9.22625
.168369.23045
.17000
12
.16676
.22632
.16839 .23052
.17003 11
.22639
+13' 9.21379
.163609.21806
.165229.22231
53
54
55
57
58
59
+149.21407 .16371 9.21834 .16533
.21414 .16374 .21841 .16535 .22266
.21422 .16376 .21848 .16538 .22273
.21429 .16379 .21856 .16541 .22280
+159.21436 .16382 9.21863 .16543 9.22287
.21386 .16363 .21813 .16524 .22238
21393 .16366 .21820 .16527 .22245
.21400 .16368 .21827 .16530 .22252
9.22259
.22688
.22695
.16679
.16681 .22646
.16684 9.22653
.16687 .22660 .16850 .23080 .17014 7
.16690 .22667 .16853 .23087
.16692 .22674 .16855 .23094
.16695 | 9.22681 .16858 9.23100
.16698
.16861 .23107
.16701
.16703 .22702
.16842 .23059
.17005 10
.16844 .23066
.17008 9
.16847 9.23073
.17011 8
.17016 6
.17019 5
.17022 4
.17024 3
.16864 .23114
.17027 2
.16866 .23121
.17030 1
.167069.22709
.168699.23128
.17033 0
20h 49m
20h 45m
20h 48m
20h 46m
20h 47m

TABLE IV.
[Page 83
Haversines.
3h 15m 48° 45'
3h 17m 49° 15′
3h 18m 49° 30' 3h 19m 49° 45'
3h 16m 49° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.s
S
0
+
467
+
соло
2
.23552
.17038
.23142
.23559
.23149 .17041 23566
9.23128 .17033 9.23545 .17197
.23135 .17035
9.23960
.17362 9.24372
.175289.24782
.17200
.23967
.17365
.17203
.23974
.17368
.24379 .17530
.24386
.17533
.17694 60
.17697 59
.24789
.17699
.24796
58
.17205 .23981
.17370 .24393
.17536 .24803
.1770257
19.23156
.170449.23573
.172089.23988
.17373 9.24400
.17539 9.24809
.17705 56
5
.23163
.23580
.17046
.23170 .17049 .23587
.23177 .17052 .23594
.17211 .23994
.17376
.24406
29.23184
9
10
11
.23191
.23198
.23205
+
39.23212
13
14
15
+-
17
18
19
+
.23622 .17227 .24036
.170669.23629 .17230 9.24043
.23219 .17068 .23635 .17233 .24050
.23226 .17071 .23642 .17235 .24056
.23233 .17074 .23649 .17238 .24063
49.23240 .170769.23656 .17241 9.24070
.23247 .17079 .23663 .17244 .24077
.23254 .17082 .23670 .17246 .24084
.23261 .17085 .23677 .17249 .24091
59.23268 .170879.23684 .172529.24098
.17214 .24001
.17216 .24008
.170559.23601 .17219 9.24015
.17057 .23608 .17222 .24022
.17060 .23615 .17225 .24029
.17063
.17379
.24413
.17541
.17544
.24816
.17708 55
.24823
.17710 54
.17381 .24420
.17547 .24830
.1771353
.173849.24427
.17387 .24434
.17550 9.24837
.17552
.17716 52
.24843
.17719 51
.17390
.24441
.17555 .24850
.17722 50
.17392
.24448
.17558 .24857
.17724 49
.17395
9.24454
.175619.24864
.17727 48
.17398
.24461
.17563
.24871
.17730 47
.17401 .24468
.17403 .24475
.17566 .24877
.17733 46
.17569 .24884
.17735 45
.174069.24482
.17572
9.24891
.17738 44
21
.23275
22
.23282
23
.23289
+
69.23295
.170989.23712
.17090 .23691 .17255 .24105
.17093 .23698 .17257
.17096 .23705 .17260
.17263
.17409 24489
.17412 .24495
.17414 .24502
.17417 9.24509
.17420 .24516
.17575
.24898
.17741 43
.17577
.24905
.17744 42
.17580 .24911
.17746 41
.175839.24918
.17749 40
.17586 .24925
.17752 39
25
26
27
+
29
30
31
+
89.23351
33
.23358
34
.23365
35
.23372
.17123 .23774
.17126 .23781
.17128 .23788
.24111
.24118
9.24125
.23302 .17101 .23718 .17266 .24132
.23309 .17104 .23725 .17268 .24139
.23316 .17107 .23732 .17271 .24146
79.23323 .17109 9.23739
.23330 .17112 .23746 .17277 .24160
.23337 .17115 .23753 .17279 .24166 .17445 .24577
.23344 .17117 .23760 .17282 .24173 .17447 .24584
.171209.23767 .172859.24180 .17450 9.24591
.17288 .24187 .17453 .24598
.17290 .24194 .17456 .24605
.17293 .24201 .17458 .24612
.17423 .24523
.17588 .24932
.17755 38
.17425 .24530
.17591 .24939
.17758 37
.174289.24536
.175949.24945
.17760 36
.172749.24153
.17431 .24543
.17434 .24550
.17436 .24557
.17439 9.24564
.17442
.17597
.17600
.24952
.17763 35
.24959
.17766 34
.17602
.24966
.17769 33
.176059.24973
.17772 32
.24571 .17608 .24979
.17774 31
.17611
.17613
.24986
.17777 30
.24993
.17780 29
.176169.25000
.17783 28
.17619 .25007
.17785 27
.17622
.17624 .25020
.25013
.17788 26

.17791 25
+
9/9.23379
.171319.23794 .172969.24208 .174619.24618
.176279.25027
.17794 24
37
38
39
.23386
.23393
.23400
.17134 .23801 .17299 .24215
.17137 .23808 .17301 .24221
.17139 .23815 .17304
.24228
.17464 .24625
.17467
.17470
.17630 .25034
.17797 23
.24632
.17633
.25040
.17799 22
.24639
.17636
.25047
.17802 21
+109.23407 .17142 9.23822
.173079.24235
.17472 | 9.24646
.17638 9.25054
.1780520
41
.23414 .17145
42
.23421
43
.23427
.23829 .17310
.17148 .23836 .17313
.17150 .23843 .17315 .24256
.24242
.17475 :24653
.17641 .25061
.17808 19
.24249
.17478
.24659
.17481
.24666
.17644
.17647 .25074
.25068
.17811| 18
.17813 17
+119.23434 .171539.23850 .173189.24263
.17483
9.24673
.176499.25081
.17816 16
45
46
47
23441
.23448
.23455
.17156 .23857 .17321 .24269 .17486 .24680
.17159 .23863 .17323 .24276 .17489 .24687
.17161 .23870 .17326 .24283 .17492 .24694
.17652 .25088
.17819 | 15
.17655
.25095
.17822 14
.17658 .25102
.17824 13
49
50
51
+129.23462 .171649.23877 .173299.24290 .174949.24700
.23469 .17167 .23884 .17332 .24297 .17497 .24707 .17663 .25115
.23476 .17170 .23891 .17335 .24304 .17500 .24714 .17666 .25122
.23483 .17172 .23898 .17337 .24311 .17503 .24721 .17669 .25129
139.23490
.17661 9.25108
.17827 12
.17830 | 11
.17833 10
.17836
9
.17175 9.23905 .173409.24317 .175059.24728
.176729.25135
.17838
8
58
54
55
.23497
.23504
.23511
149.23518 .171869.23932
.17178 .23912 .17343 .24324
.17181 .23919 .17346 .24331
.17183 .23926 .17348 .24338
.173519.24345
.17508 .24734
.17511 .24741
.17514 .24748
.17517 | 9.24755
.17674 .25142
.17677 .25149
.17680 .25156 .17847 5
.17683 9.25163 .17849
.17841
.17844
6
57
.23525
.17189 .23939 .17354
.24352
.17519
58
.23532
59
.17192 .23946 .17357
.23538 .17194
.24359
.17522
.24762 .17686 .25169 .17852
.24768 .17688 .25176
.17855 2
.23953 .17359
.24365
.17525
.24775
.17691
.25183
.17858
1 ∞ ∞ AGOV∞
3
159.23545 .171979.23960
.173629.24372
.17528
9.24782
.176949.25190
.17861 0
20h 44m
20h 40m
20h 43m
20h 41m
20h 42m

Page 841
TABLE IV.
Haversines.
S
3h 20m 50° 0'
3h 21m 50° 15'
3h 22m 50° 30'
3h 23m 50° 45'
3h 24m 51° 0
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Lav. Log. Hav. Nat. Hav. S
0
сопоть о
9.25190
.178619.25595
1
.25196
.17863 .25602
2
.25203
3
+
19.25217
667
5
+
.17866 .25608
.25210 .17869 .25615
.17872 9.25622
.25224 .17875 .25629
.25230 .17877 .25635
.25237 .17880 .25642
29.25244
.18028 | 9.25998
.18031 .26005
.18034 .26011
.18036 .26018
.181969.26398
.183659.26797
.180399.26025
.17883 9.25649
9
.25251
10
11
.25257
.25264
+
39.25271
.180629.26078
13
.25278
14
.25284
15
.25291
.18064 .26085
.18067
.18070 .26098
.26091
.18199 .26405 .18368 .26804
.18202 .26412 .18370 .26810
.18205 .26418
.18207 9.26425
.18042 .26031 .18210 .26432
.18045 .26038 .18213 26438
.18048 .26045 .18216 .26445
.18050 9.26051
.17886 .25655 .18053 .26058
.17888 .25662 .18056 .26065
.17891 .25669 .18059 .26071
.17894 9.25676
.17897 .25682
.17900 .25689
.17902 .25696
.18534 60
.1853759
.18540 58
.18373 .26817
.18542 57
.183769.26823
.13379 .26830
.18382 .26837
.13334 .26843
.18545 56
.18548 55
.1855154
.18554 53
.182199.26452
.183879.26850
.18557 52
.18221 .26458
.18224 .26465
.18330 .26856
.18559 51
.18393
.26863
.18562 50
.18227
.26472
.18396 .26870
.18565 49
.18230
9.26478
.18399 9.26876
.18568 48
.18233
.26485
.18401 .26883
.18571 47
.18235 .26492
.18238 .26498
.18404 .26890
.18407 .26896
.18574 46
.18576 45
+
49.25298 .179059.25703
.180739.26105
.182419.26505
.184109.26903
17
18
19
.25305 .17908 .25709
.25311 .17911 .25716
.25318 .17914
.18076 .26112
.25723
.18078
.18081
.26118
.26125
+
59.25325
.179169.25729 .18084 9.26132
21
.25332
22
.25339
23
.25345
+
69.25352
.179289.25756
25
.25359
26
.25366
27
.25372
.17919 .25736 .18087 .26138
.17922 .25743 .18090 .26145
.17925 .25750 .18092 .26152
.18095 9.26158
.17930 .25763 .18098 .26165
.17933 .25770 .18101 .26172
.17936 .25776 .18104 .26178
.18244 .26512 .18413 .26909
.18247 .26518 .18415 .26916
.18249 .26525 .18418 .26923
.18252 9.26532 .184219.26929
.18255 .26538 .18424 .26936
.18258 .26545 .18427 .26942
.18261 .26551 .18430
.1857944
.18582 43
.18585 42
.18588 41
.18591 40
.18593 39
.18596 38
.26949
.18599 37
.182639.26558
.18432
9.26956
.18602 36
.18266 .26565
.18269 .26571
.18272 .26578
.18435 .26962
.18605 35
.18438
.26969
.18608 34
.18441
.26975
.18610 33
+
7/9.25379 .179399.25783 .181069.26185
.182759.26585
.18444
9.26982
.18613 32
29
30
31
+
8'
33
34
35
.25426
.25386 .17941 .25790 .18109 .26192
.25393 .17944 .25797 .18112 .26198
.25399 .17947 .25803
9.25406 .17950 9.25810
.25413 .17953 .25817
.25420 .17955 .25823
.17958 .25830
.18277 .26591
.18280 .26598
.18446 .26989
.18616 31
.18449 .26995
.18619 30
.18115 .26205
.18283 .26605
.18452 .27002
.18622 29
.181189.26212 .182869.26611
.184559.27008
.18624 28
.18120 .26218
.18123 .26225
.18126 .26232
.18289 .26618
.18458 .27015
.18627 27
+
37
38
39
41
42
43
45
46
17
9/9.25433 .179619.25837
.25440 .17964 .25844
.25447 .17967 .25850 .18134 .26252
.25453 .17969 .25857 .18137 .26259 .18306 .26658
+109.25460 .179729.25864 .181409.26265 .183089.26664
.25467 .17975 .25870 .18143 .26272
.25474 .17978 .25877 .18146 .26279
.25480 .17981 .25884 .18148 .26285
+119.25487 .179839.25891 .181519.26292
.25494 .17986 .25897 .18154 .26299
.25500 .17989 .25904
.25507 .17992 .25911
+19.25514 .179959.25917 .181629.26319
.181299.26238
.18292
.18294
.18297 | 9.26638
.26625
.18461 .27022
.18630 26

.26631
.18463 .27028
.18633 25
.134669.27035
.18636 | 24
.18132 .26245
.18300
.18303
.26644
.18469 .27041
.18639 23
•26651
.18472
.27048
.18641 22
.18475 .27055
.18644 21
.184789.27061
.18647 20
..18311 .26671
.18480 .27068
.18650 19
.18314
.26678
.18493
.27074
.18653 18
.18317
.26684
.18486 .27081 .18656 17
•
18320 | 9.26691
.184899.27088 .18658 16
.18157 .26305
.18160 .26312
.18323 .26697
.18325
.18328 .26711 .18497 .27107
.18492 .27094
.18661 15
.26704 .18494 .27101
.18664 14
.18667 13
.183319.26717
49
50
51
.25521 .17997 .25924 .18165 .26325
.25528 .18000 .25931 .18168 .26332
.25534 .18003 .25938 .18171 .26339
+ 13/19.25541
.18334 .26724
.18337 .26731
.18339 .26737
.18500
.18503
9.27114
.18670 12
.27121
.18673 11
.18506 .27127
.18509 .27134
.18675 10
.18678 9
5.3
.25548
54
55
.25544
.25561
.180069.25944 .181749.26345
.18003 .25951 18176 .26352
.18011 .25958 .18179 .26359
.18014 .25964 .18182 .26365
.183429.26744
.185119.27140
.18681 8
.18345 .26751
.18348 .26757
.18351 .26764
+ 14.9.25568
.180179.25971 .181859.26372
.183539.26770
57
58
59
+
.25575
.25588 .18025
159.25595 .180289.25998
.18020 .25978 .18188 .26378
.25581 .18022 .25984 .18190 .26385
.25991 .18193 .26392
.18196 | 9.26398
.18356 .26777
.18359 .26784
.18362 .26790
.183659.26797
.18514 .27147 .18684
.18517 .27154 .18687
.18520 .27160
.18690
.185239.27167 .18692 4
.18526 .27173 .18695 3
.18528 .27180 .18698 2
.18531 .27186 .18701
.18534 9.27193 .18704 0
766
5
20h 33m
20h 35m
20h 38m
20h 36m
20h 37m

TABLE IV.
[Page 85
Haversines.
3h 25m 51° 15′
3h 26m 51° 30'
3h 27m 51° 45'
3h 28m 52°
3h 29m 52° 15′
Log. Hav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
12
S
ON 23
0
9.27193
.187049.27587
.188749.27979
.190459.28368
1
.27200
.27206
.27213
.18707 .27594
.18710 .27600
.18712 .27607
+
19.27219
.187159.27613
567
.27226 .18718 .27620
.27233 .18721 .27626
.27239 .18724 .27633
.18877 .27985
.18880 .27992
.18883 .27998
.18886 9.28005
.18888 .28011
.18891 .28018
.18894 .28024
.19389 60
.19048 .28375 .19220 .28762 .19392 59
.19051 .28381 .19223 .28769 .19395 58
.19054 .28388 .19226 .28775 .19398 57
.192179.28756
659
.190579.28394
.192289.28782
.19401 56
.19060 .28401
.19062 .28407
.19065 .28414
+
29.27246
.187279.27639
.188979.28031
.190689.28420
9
.27252
10
.27259
11
.27265
.18729 .27646
.18732 .27652
.18735 .27659
.18900 .28037
.18903 .28044
.18906 .28050
+
39.27272
.187389.27666
13
.27279
14
.27285
15
.27292
.18741 .27672
.18744 .27679
.18746 .27685
.18912 .28063
.18914 .28070
.18917 .28076
.19071 .28427
.19074 .28433
.19077 .28440
.189089.28057 .19080 9.28446
.19082 .28453
.19085 .28459
.19088 .28465
.19231 .28788
.19234
.19237 .28801
.19240 9.28807
.19243 .28814
.19404 55
.28794
.19406 54
19409 | 53
.19412 52
.19415 51
.19246
.28820
.19418 | 50
.19248 .28827
.19421 49
.192519.28833
.19424 48
.19254 28840
.19427 47
.19257
.19260 .28852
.28846
.19429 46
.19432 45
+
4/
9.27298
.187499.27692 .189209.28083
.190919.28472
.192639.28859
.19435 44
17
.27305
18
.27311
19
.27318
.18758 .27711
.18752 .27698 .18923 .28089
.18755 .27705 .18926 .28096
.18928 .28102
.19094 .28478
.19266 .28865
.19438 43
+
5/19.27325
.187619.27718
.189319.28109
21
.27331
.18763 .27724
22
.27338
.18766 .27731
23
.27344
.18769
.27737
.18934 .28115
.18937 .28122
.18940 .28128
.19097 .28485
.19100 .28491
.19102 | 9.28498
.19105 .28504
.19108 .28511
.19111 .28517
.19269 .28872
.19441 42
.19271 .28878
.19444 41
.192749.28885
.19447 40
.19277 .28891
.19280
.19283 .28904
.19450 39
.28897
.19452 38
.19455 37
+
69.27351
.187729.27744 .189439.28135 .191149.28524
.192869.28910
.1945836
25
.27357
.27364
.27371
.18775 .27751 .18945 .28141 .19117 .28530
.18778 .27757 .18948 .28148 .19120 .28537
.18780 .27764 .18951 .28154 .19122 .28543
+
26
27
79.27377 .187839.27770 .189549.28161 .191259.28549 .192979.28936
.19289 .28917
.19291 .28923
.19294 .28930
.19461 35
.19464 34
.19467 33
.19470 32
29
.27384
30
.27390
.18786 .27777
.18789 .27783
.18957 .28167
.18960 .28174
.19128 .28556
.19131 .28562
.19300 .28942
.19303 .28949
.19473 31
.19475 30
31
.18792 .27790
+ 8'
33
34
35
+
37
38
39
.27397
9.27403
.27410 .18797 .27803 .18968 .28193
.27417 .18800 .27809 .18971 .28200
.27423 .18803 .27816 .18974
99.27430 .188069.27822 .18977
.27436 .18809 .27829 .18980 .28219
.27443 .18812 .27835 .18983 28226
27449 .18815 .27842 .18985 .28232
.18963 .28180
.19134 .28569
.19306 .28955
.19478 29
.187959.27796 .189659.28187
.191379.28575
.193099.28962
.19481 28

.19140 .28582
.19142 .28588
.28206 .19145 .28595
9.28213 .191489.28601
.19311 .28968
.19314
.19317 .28981
.19484 27
.28974
.19487 26
.19490 25
.193209.28987
19493 24
41
42
43
+119.27482
45
46
47
+12
.190119.28291
49
50
51
+13
53
54
55
.27548 .18857 .27940 .19028
.27554 .18860 .27946 .19031
+14 9.27561 .18863 9.27953
57
.27567 .18866 .27959 .19037 .28349
58
59
.27574 .18869 .27966 .19040
.27580 .18871 .27972 .19042 .28362
.28355
+159.27587
.18874 9.27979
.19214
.19045 9.28368 .19217
.19151 .28608
.19154 .28614
.19157 .28620
+109.27456 .188179.27848 .189889.28239 .19160 9.28627 .193329.29013 .19504 20
.27463 .18820 .27855 .18991 .28245 .19163 .28633 .19335 .29019 .19507 19
.27469 .18823 .27861 .18994 .28252 .19165 .28640 .19337 .29026
.27476 .18826 .27868 .18997 .28258 .19168 .28646 .19340 .29032
.18829 9.27875 .19000 9.28265 .191719.28653
.27489 .18832 .27881 .19002 .28271
.27495 .18834 .27888 .19005 .28278
.27502 .18837 .27894 .19008 .28284
9.27508 .18840 9.27901
.27515 .18843 .27907 .19014 .28297
.27522 .18846 .27914 .19017 .28304
.27528 .18849 .27920 .19020 .28310
9.27535 .18852 9.27927 .19022 9.28317
.27541 .18854 .27933 .19025 .28323 .19197 .28711 .19369 .29096 .19542
.28330 .19200 .28717
.19372 .29103 .19545
.28336 .19203 .28724 .19375 .29109 .19548
.19034 9.28342 .19205 9.28730 .19378 9.29116 .19550 4
.28737 .19381 .29122 .19553 3
.28743 .19383 .29128 .19556 2
.28749 .19386 .29135 .19559 1
9.28756 .19389 9.29141 .19562 0
.19323 .28994
.19496 23
.19326 .29000
.19499 22
.19329 .29007
.19501 21
.19510 18
.19513 1'y
.193439.29039
.19516 16
.19174 .28659
.19177 .28666
.19180 .28672
.19346 .29045
.19519 15
.19349 .29051
.19522 14
.191839.28679
.19185 .28685
.19188 .28691
.19191 .28698
.19352 .29058 .19524 13
.19527 12
.19358 .29071 .19530 11
.19360 .29078 .19533 10
.19363 .29084 .19536 9
.19194 9.28704 .193669.29090 .19539 8
.193559.29064
76
5
.19208
.19211
20h 34m
20h 30m
20h 33m
20h 31m
20h 32m

Page 86]
TABLE IV.
S
Haversines.
3h 30m 52° 30' 3h 31m 52° 45' 3h 32m 53° 0' 3h 33m 53° 15'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. IIav. Nat. Hav. Log. Hav. Nat. Hav.
0123
+
19.29167
9.29141 .19562 9.29524
.29148 .19565 .29531 .19738 .29912
.29154 .19568 .29537 .19741 .29918
.29160 .19571 .29543 .19744 .29925
.19573 | 9.29550
3h 34m 53° 30'
Log. Hav. Nat. IIav.
.197359.29906 .199099.30285 .20084 9.30662
.19912 .30291 .20087 .30668
.19915 .30207 .20090
.19918 .30303 .20093 .30680
S
.20259 | 60
.20262 | 59
.30674
.20265 58
.20268 | 57
.197479.29931
.199219.30310
.200959.30687
.20271 56
667
5
.29173
.19576
.29180
.19579
.29556
.29563
.29186
.19582 .29569
.19750 .29937
.19753 .29943
.19756 .29950
.19924 .30316
.19927 .30322
.19930 .30329
+
29.29192
.195859.29575
.197589.29956
.199329.30335
9
.29199
.19588 .29582
10
.29205
11
29212
.19591 .29588
.19594 .29594
+
39.29218
.195979.29601
13
.29224
.19599
.29607
.19761 .29962
.19764 .29969
.19767 .29975
.19770 9.29981
.19773 .29988
.19935 .30341
.19938 .30348
.19941 .30354
.20098 .30693
.20101 .30699
.20104 .30705
.20107 9.30712
.20110 .30718
.20273 55
.2027654
.20279 53
.20282 52
.20285 51
.20113
.30724
.20288 50
.20116 .30730
.20291 49
.19944 9.30360
.20119 9.30737
.20294 48
.19947
.30366
.20122
.30743
.20297 47
14
.29231
.19602
.29614
.19776 .29994
.19950
.30373
15
.29237
.19605
.29620
.19779 .30000
.19953
.30379
.20125 .30749
.20127 .30755
.20300 46
.20303 | 45
+
49.29244
.19608 9.29626
.19782 9.30007
.19956 9.30385
.201309.30762
17
.29250
.19611 .29633
.19785
.30013
18
.29256
.19614 .29639
.19787
.30019
19
.29263
.19617 .29645
.19790 .30026
+
59.29269
.19620 9.29652
.19793 | 9.30032
21
22
23
+ 6'
25
26
27
.29276 .19623 .29658
.29282 .19625
.29288 .19628 .29671
9.29295 .19631 9.29677
.29301 .19634 .29683
.29307 .19637 .29690
.29314 .19640 .29696
.19796
.30038
.19970 .30417
.19959 .30392
.19962 .30398
.19964 .30404 .20139 .30780
.19967 9.30410 .20142 9.30787
.20145
.20133 .30768
.20136 .30774
.20306 44
.2030943
.20312 42
.20314 41
.20317 40
.30793
.20320 39
.29664
.19799
.30045
.19973 .30423
.20148 .30799
.20323 38
.19802 .30051
.19976 .30429 .20151 .30805
.20326 37
.198059.30057
.19979 9.30436
.20154 9.30812
.20329 | 36

.19808 .30064
.19811
.30070
.19814
.30076
.19982
.19985 .30448
.19988 .30454
.30442
.20157
.30818
.20332 35
.20160 .30824
.20335 34
.20162 .30830
.20338 33
+
79.29320
.196439.29703
.19816
9.30083
.199919.30461
.201659.30837
.20341 32
29
.29327
.19646 .29709
.19819
.30089
30
.29333
.19649
.29715 .19822
.30095
31
.29339
.19651
.29722 .19825
+
8'
9.29346
.19654 9.29728
.30102
.19828 9.30108
33
34
35
.29352 .19657
.29359
.29365
.19660 .29741
.19663 .29747
.29734 .19831 .30114
.19834 .30121
.19837 .30127
.19994 .30467
.19996 .30473
.19999 .30480
.20002 9.30486
.20005
.20008 .30498
.20011 .30505
.20168 .30843
.20344 31
.20171 .30849
.20347 30
.20174
.20177 9.30862
.30855
.20350 29
.20352 28
.30492
.20180 .30868
.20355 27
.20183 '.30874
.20186 .30880
.20358 26
.20361 25
+
99.29371
.196669.29753
.198409.30133
.200149.30511
37
.29378
38
.29384
39
.29391
+109.29397
41
42
43
.19669 .29760
.19672 .29766
.19675 .29772
.19677 9.29779
.29403 .19680 .29785 .19854 .30165
.29410 .19683 .29791 .19857 .30171
.29416 .19686 .29798 .19860 .30177
.19842 .30139
.19845 .30146
.19848 .30152
.20017 .30517
.20020 .30524
.20023 .30530
.20189 | 9.30887
.20192.30893
.20364 24
.20367 23
.20195 .30899
.20198 .30905
.20370❘ 22
.20373 21
.198519.30158
.200269.30536 .20200 9.30912
.2037620
.20028 .30542.20203 .30918
.20379 19
.20031 .30549
.20206.30924
.20382 18
.20034 .30555
.20209.30930
20385 17
+ 11
9.29422
.19689
9.29804
.19863
45
.29429 .19692 .29810
46
47
+12
9.29448
.19701
49
.29454
.19703
50
.29461
.19706
.29842
51
.29467
.19709
.29848
9.30184
.19866 .30190 .20040 .30567
.29435 .19695 .29817 .19869 .30196 .20043 .30574 .20218 .30949
.29442 .19698 .29823 .19872 .30203 .20046 .30580 .20221 .30955
9.29829 .19874 9.30209 20049 9.30586 .20224 9.30962
.29836 .19877 .30215 .20052 .30593
.30968
.20227
.19880 .30222 .20055 .30599 .20230
.19883 .30228 .20058
.20233
.30605
.20037 9.30561
.20212 | 9.30937
.20388 16
.20215.30943
.20391 15
.20393 14
*.20396 13
.20399 12
.20402 11
.30974.20405
.20405 10
´.30980 .20408
9
139.29473
.197129.29855
.198869.30234
.200609.30611
.20235
9.30987
.20411
5.3
29480 .19715
.19889 .30240
54
.29486
.19718
.30247
55
.29493
.19721
+149.29499
.197249.29880
57
58
.29861
.29867 .19892
29874 .19895 .30253
.19898 9.30259
.29505 .19727 .29886 .19901 .30266 .20075 .30643
.31018 .20426
.20250
29512
.29893
.19730
.19903 .30272 .20078
.31024
.30649 .20253
.20429
.29518
.29899
59
.19732
.19906 .30278 .20081 .30655
.31030 .20432
.20256
+15' 9.29524 .19735 9.29906 .19909 9.30285 .20084 9.30662 .20259 9.31036 .20435 0
.20063
.30618
.20238
.30993
.20414
.20066
.30624
.20241
.30999
.20417
.20069 .30630
.20244
.31005 .20420 5
.20072 9.30636
.20247
9.31012
.20423
co A/Ga7∞
8
6
4
3
2
1
20h 29m
20h 26m
20h 28m
20h 27m
20h 25m

TABLE IV.
[Page 87
Haversines.
3h 35m 53° 45'
3h 36m 54° 0'
3h 37m 54° 15'
3h 38m 54° 30'
3h 39m 54° 45'
S
Log. IIav. Nat. Hav. Log. IIav. Nat. IIav. Log. Hav. Nat. IIav. Log. Hav. Nat. IIav. Log. Hav. Nat. IIav.
s
0
9.31036
1
.31043
2
.31049
3
.31055
.20435 9.31409 .20611
.20437 .31416
.20440 .31422
.20443 .31428
9.31780
.20614
.20617 .31793
.20620 .31799
.31786
.20788
.20790 .32155
.20793 .32161
.20796 .32168
9.32149
.20965
.20968
.20971 .32528
.20974 .32534
9.32516
.32522
.21143 60
.21146 59
.21149 58
.21152 | 57
+
19.31061
.204469.31434
.206239.31805
.207999.32174
.209779.32541
667
5
.31068
.31074
.31080
.20449 .31440
.20452 .31447
.20455 .31453
.20631
+
29.31086
.204589.31459
.20634
.20626 .31811
.20629 .31817
.31823
9.31830
.20802 .32180
.20805 .32186
.20808 .32192
.20980 .32547
.20983 .32553
.29986 .32559
.2115556
.2115855
.21161 54
.21164 53
.208119.32198
.209899.32565
.2116752
9
.31093
10
.31099
11
.31105
+
39.31111
13
.31117
14
.31124
15
.31130
+
49.31136
.204819.31508
17
.31142
.20484 .31515
18
.31149
19
+ 5'
.31155
9.31161
.20487 .31521
.20490 .31527 .20667
.204939.31533
21
22
23
+
.31173
.31180
69.31186
25
26
27
.31167 .20496 .31539
.20499 .31546
.20502 .31552
.20505 9.31558
.31192 .20508 .31564
.31198 .20511
.31205 .20514
.31570
+
9.31211
29
.20517
.31217 .20520
30
31
.31577
9.31583
.31589 .20696 .31959
.31223 .20523 .31595 .20699 .31965
.31229 .20525 .31601 .20702 .31971
.20461 .31465 .20637
.20464 .31471 .20640 .31842
.20467 .31478 .20643 .31848
.20470 9.31484 .20646 9.31854
.20473 .31490 .20649 .31860
.20476 .31496 .20652 .31867
.20479 .31502 .20655 .31873
.20658 9.31879
.20661 .31885
.20664 .31891
.31897
.20670 9.31903
.20673 .31910
.20675 .31916
.20678 .31922
.20681 | 9.31928
.20684 .31934
.20687 .31940
.20690 .31947
.31836
.20814 .32204
.20817 .32210
.20991 .32571
.2116951
.20994
.32577
.21172 50
.20820 .32217
.20997
.32583
.21175 49
.208239.32223
.21000
9.32589
.21178 48
.20861 .32302
.20864 .32308
.20867 .32315
.20826 .32229
.20829 .32235
.20832 .32241
.208359.32247
.20838 .32253
.20841 .32259
.20844 .32266
.20847 9.32272
.20850 .32278
.20852 .32284
.20855 .32290
.208589.32296
.21015 .32620
.21018
.21021 .32632
.210369.32662
.21039 .32668
.21042
.21045 .32681
.21003
.32595
.21181 | 47
.21006 .32601
.21009 .32608
.21184 46
.21187 45
.210129.32614
.21190 44
.2119343
.32626
.21196 42
.21199 41
.210249.32638
.21202 40
.21027 .32644
.21030 .32650
.21033 .32656
.21205 39
.21208 38
.21211 37
.21214 36
.21217 35
.32675
.21220 34
.21223 33
.20693 9.31953
.208709.32321
.210489.32687
.21226 32
.20873 .32327
.20876 .32333
.20879 .32339
.21051 .32693
.21229 | 31
.21054
.21057
.32699
.21232 30
.32705
.21235 29
+
89.31236
38
.31242
34
.31248
35
.31254
.20528 9.31607
.20531 .31614
.20534 .31620
.20537 .31626
.207059.31977
.208829.32345
+
9/19.31260
.205409.31632
37
.31267
38
.31273
39
+10
.31279
9.31285
.20543 .31638 .20720 .32008
.20546 .31644 .20723 .32014
.20549 .31651
.20708 .31983
.20711 .31990
.20714 .31996
.20717 9.32002 .20894 9.32370
.20897 .32376
.20885 .32351
.20888 .32357
.20891 .32363
.21060 9.32711
.21063 .32717
.21066 .32723
.21069 .32729
.21238 28
.21241 27
.2124426

.210729.32735
.20900 .32382
.21074 .32741
.21077 .32748
.21247 25
.21250 24
.2125323
.21256| 22
.20726 .32020
.20903 .32388
.21080 .32754
.21259 21
41
42
43
+11
45
.31316
46
47
.20567 .31688
.31323 .20570 .31694 .20746
.31329 .20573 .31700 .20749
.20552 | 9.31657 .20729 9.32026
.31291 .20555 .31663 .20731 .32033
.31298 .20558 .31669 .20734 .32039 .20912 .32406
.31304 .20561 .31675 .20737 .32045 .20915 .32412
9.31310 .20564 9.31682 .20740 9.32051 .20918 9.32418
.20743 .32057 .20920
.209069.32394
.21083 9.32760
.21262 20
.20909 .32400
.21086 .32766
.21265 19
.21089 .32772
.21268 18
.21092 .32778
.21271 17
.210959.32784
.21274 16
.32425
.21098 .32790
.21277 15
.32063
.20923
.32431
.21101 .32796
.21280 14
.32069
.20926
.32437
+129.31335 .20575 9.31706 .20752 9.32076
49
50
51
139.31360
53
54
55
.20929 | 9.32443
.31341 .20578 .31712 .20755 .32082 .20932 .32449
.31347 .20581 .31719 .20758 .32088 .20935 .32455
.31354 .20584 .31725 .20761 .32094 .20938 .32461
.20587 9.31731
.31366 .20590 .31737 .20767 .32106 .20944 .32473
.31372 .20593 .31743 .20770 .32112 .20947 .32480
.31378 .20596 .31749 .20773 .32119 .20950 .32486
.21104
.21107 9.32808
.32802
.21282 13
.21285 | 12
.21110 .32814
.21288 11
.21113 .32820
.21116 :32827
.21291 10
.207649.32100
.209419.32467
.211199.32833
.21294 9
.21297
.21122 .32839 .21300
.21125 .32845 .21303
.21128 .32851 .21306
8
766
5
149.31385 .205999.31756 .20776 9.32125 .209539.32492 .211319.32857 .21309 4
57
.31391
58
59
.31397
.31403
.20602 .31762 .20779 .32131 .20956 .32498
.20605 .31768 .20782 .32137 .20959 .32504
.20608 .31774 .20785 .32143 .20962 .32510
15
9.31409
.206119.31780
.20788 9.32149
.20965 | 9.32516
.21134 .32863 .21312 3
.21137 .32869 .21315 2
.21140 .32875 .21318 1
.211439.32881 .21321 0
20h 24m
20h 20m
20h 23m
20h 21m
20h 22m

Page 88]
TABLE IV.
S
солоно
0
9.32881
3h 40m 55° 0'
Haversines.
3h 41m 55° 15′ 3h 42m 55° 30' 3h 43m 55° 45′ 3h 44m 56° 0'
Log. Ilav. Nat. IIav. Log. Hav. Nat. IIav. Log. IIav. Nat. Iav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
.213219.33244 .21500 9.33605
.216809.33965 .218609.34322
S
1
2
3
.32887 .21324 .33250 .21503 .33611
.32893 .21327 .33256 .21506 .33617
.32899 .21330 .33262 .21509 .33623
+
19.32905
.213339.33268
.215129.33629
5
6
77
.32911 .21336 .33274
.32918
.32924
.21339 .33280
.21342 .33286
21515 .33635
.21518 .33641
.21521 .33647
+ 2/19.32930
.213459.33292 .215249.33653
9
.32936
10
.32942
11
.32948
.21348 .33298
.21351 .33305
21354 .33311
+
39.32954 .213579.33317
.21536
13
.32960
.21360 .33323
.21539
.21683 .33971
.21686 .33976
.21689
.21692 9.33988
.21695 .33994
.21698 .34000
.21701 .34006
.21704 9.34012
.21527 .33659 .21707 .34018
.21530 .33665
.21710
.34024
.21533 .33671 .21713 .34030
9.33677 .21716 9.34036
.33683
.21863 .34328
.22040 | 60
.22043 59
.21866 .34334
.22046 58
.33982 .21869 .34340
.21872 9.34346
.22049 | 57
.22052 56
.21875
.34352
.2205555
.21878
.34358
.2205854
.21881 .34363
.22061 53
.218849.34369
22064 52
.21887 .34375
.22067 51
.21890
.34381
.22071 50
.21893 .34387
.22074 49
.218969.34393
.22077 48
.21719 .34042
.21899 .34399
.22080 47
14
.32966
15
.32972
.21363 .33329
.21366 .33335
+
4/9.32978 .213699.33341
17
.32984
.21372 .33347
18
.32990
19
.32996
.21375 .33353
.21378 .33359
.21542 .33689
.21545 .33695
.21548 9.33701
.21551 .33707
.21554 .33713
.21557 .33719
.21722
.21725
.34048
.34054
.21902 .34405
.22083 46
.21728 | 9.34060
.21905
.21908 9.34417
.34411
.22086 45
.22089 44
.21731
.21734
.21737 .34078
.34066
.21911 .34423
.22092 43
.34072
.21914 .34429
.22095 42
.21917 .34435
.22098 41
+
5/9.33002 .213819.33365 .215609.33725
.217409.34084
.21920 9.34441
.22101 40
21
22
23
+
25
26
27
+
.215849.33773
29
.33419
30
31
+
89.33075 .214179.33437
33
34
35
+
9/9.33099 .214299.33461
.83008 .21384 .33371 .21563 .33731 .21743 .34090 .21923
.33014 .21387 .33377 .21566 .33737 .21746 .34096 .21926 .34452
.33021 .21399 .33383 .21569 .33743 .21749 .34102 .21929 .34458
69.33027 .213939.33389 .21572 9.33749 .21752 9.34108
.33033 .21396 .33395 .21575 .33755 .21755
.33039 .21399 .33401 .21578 .33761 .21758 .34120
.33045 .21402 .33407 .21581 .33767 .21761 .34126
79.33051 .214059.33413
.33057 .21408
.21587 .33779
.33063 .21411 .33425 .21590 .33785
.33069
.21414
.33431 .21593 .33791
.21596 9.33797
.33081 .21420 .33443 .21599 .33803
.33087 .21423 .33449 .21602 .33809
.33093 .21426 .33455 .21605 .33815
.21608 · 9.33821
.34446
.22104 39
.22107 38
.22110 37
.21932 9.34464
.22113 36
.34114
.21935 .34470
.22116 35
.21938 .34476
.22119 34
.21941 .34482
.217649.34132
.219449.34488
.21767 .34137 .21947 .34494
.21770 .34143 .21950 .34500
.21773 .34149 .21953 .34506
.21776 9.34155 .21956 9.34512
.21779 .34161 .21959 .34518
.21782 .34167 .21962 .34524
.21785 .34173
22122 | 33
.22125 32
.2212831
.22131 30
.2213429
.22137 28
.22140 | 27

.22143 26
.21965 .34529
.22146 25
.217889.34179
.21968 9.34535
.22149 24
37
.33105
38
.33111
39
.33117
.21431 .33467
.21434 .33473
.21437 .33479
.21611 .33827 .21791 .34185
.21614 .33833
.21617 .33839
.21971 .34541
.22152 23
.21794 .34191
.21797 .34197
.21974 .34547
.22155 22
.21977 .34553
.22158 21
+109.33123 .214409.33485 .216209.33845
.218009.34203
.21980 9.34559
.22161 20
41
.33129
42
43
+119.33148
45
46
47
.21443 .33491
.33135 .21446 .33497
33142 .21449 .33503
.21452 | 9.33509
.33154 .21455 .33515
.33160 .21458 .33521
.33166 .21461 .33527 .21641 .33887
.21623 .33851
.21626 .33857
.21629 .33863
216329.33869
.21635 .33875
.21638 .33881
.21803 .34209
.21806 .34215
.21809 .34221
.21812 9.34227
.21815 .34233
.21818 .34239
.21821 .34245
.21983 .34565
.21986 .34571
.21989 .34577
.22164 19
.22167 18
.22170 17
.219929.34583
.22173 16
.21995 .34589
.21998
.22001 .34600
.22176 15
.34595
.22179 14
.22182 13
+129.33172 .214649.33533 21644 | 9.33893
49
50
51
+
53
54
55
.33178 .21467 .33539 .21647 .33899
.33184 .21470 .33545 .21650 .33905
.33190 .21473 .33551 .21653 .33911
139.33196 .21476 9.33557
.33202 .21479 .33563
.33208 .21482 .33569
.33214 .21485 .33575
.216569.33917
.216689.33941
57
58
59
+15'9.33244
.21500 9.33605
+149.33220 .214889.33581
22007 .34612
.22010 .34618
.22013 .34624 .22194 9
.22016 9.34630 .22197 8
.22019 .34636
.22022 .34642 .22203
.22200
.21659 .33923 .21839 .34280
.21662 .33929 .21842 .34286
.21665 .33935 .21845 .34292 .22025 .34648 .22206 5
.21848 9.34298 .22028 9.34654 .22209 4
.33226 .21491 .33587 .21671 .33947 .21851 .34304 .22031 .34660 .22212 3
.33232 .21494 .33593 .21674 .33953 .21854 34310 .22034 .34666 .22215 2
.33238 .21497 .33599 .21677 .33959 .21857 .34316 .22037 .34671 .22218 1
.21680 9.33965 .21860 9.34322 .22040 9.34677 .22221 0
.21824 | 9.34251
.21827 .34256
.21830 .34262
.21833 .34268
.220049.34606
.22185 12
.22188 11
.22191 10
.218369.34274
∞26 24O
20h 19m
20h 15m
20h 18m
20h 16m
20h 17m

TABLE IV.
[Page 89
"
Haversines.
3h 45m 56° 15′
3h 46m 56° 30′
3h 47m 56° 45′
S
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
3h 48m 57° 0' 3h 49m 57° 15′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat .Hav.
S
0423
9.34677
1
.34683 .22225
.34689
.22228
22219.35031 .22403
.35037 .22406
.35043 .22409
.34695
.22231 .35049
9.35383
.35389
.35394
.22412 .35400
.225859.35733
.227689.36081
+
1/9.34701
.222349.35054
.224159.35406
5
.34707
6
.34713
77
.34719
.22237 .35060
22240
.22243 .35072
.22418 .35412
.22588 .35738 .22771 .36086
.22591 .35744 22774 .36092
.22594 .35750
22777 .36098
.22598 | 9.35756
.22601 .35762
.227809.36104
.22951 60
.22954 59
.22957
22960 57
.22964 56
58
.22783 .36110
22967 55
.35066
.22421
.35418
.22604
.35767 .22786
.36115
.22970 54
.22424 .35424
.22607
.35773
.22789 .36121
.22973 53
+1
29.34725
.222469.35078
.224279.35429
.22610
9.35779
.22792 9.36127
.22976 | 52
9
.34730
10
.34736
11
.34742
.22249 .35084
22252
.22255 .35096
.35090
.22433 .35441
.22437 .35447
+
3/19.34748 22258 9.35101
.224409.35453
.22430 .35435 .22613
.22616
.35791
.22619 .35797
.22622 I 9.35802
.35785
.22795
.36133
.2297951
.22799 .36139
.22982 | 50
.22802 .36144
.22985 49
.228059.36150
.22988 48
13
14
.34760
15
.34766
.34754 .22261 .35107
.22264 .35113
.22267 .35119
.22443 .35459
.22625
.35808
.22446
.22449 .35470
.35464
.22628
.35814
.22631
.35820
.22808 .36156
.22811
.22814 .36167
2299147
.36162
.22994 46
.22997 45
+
4/9.34772
.222709.35125
.224529.35476
17
.34778
18
.34784
19
+
21
22
23
+
.22273 .35131
.22276 .35137
.34789
.22279 .35143
5/19.34795 .22282 | 9.35148
.34801 .22285 .35154
.34807
.22288 .35160
.34813 .22291 .35166
69.34819
.22455 .35482
.22458 .35488
.22461 .35494
22634 | 9.35826
$22637 .35831
.22640 .35837
.22643 .35843
.22817 9.36173
.23000 44
.22820 .36179
25
26
.224649.35500
.22467 .35505
.22470 .35511 .22652
.35860
.22473 .35517 .22655 .35866
.222949.35172 .224769.35523 .22658 9.35872
.34825 .22297 .35178 22479 .35529 .22661 .35878
.34831 .22300 .35184 .22482
.22664 .35884
.35535
.226469.35849
.22649 .35855
.228299.36196
22832 .36202
22835 .36208
€22838 .36214
.22823 .36185
.22826 .36191
.2300343
.23006 42
.23009 41
.2301240
.2301639
.23019 38
.23022 37
.228419.36219
.23025 36
.22844 .36225
.23028 35
2'7
.34837
.22303 .35189 .22485 .35540 22667 .35889
.22847
.22850
.36231
.23031 | 34
.36237
.23034 33
+
9.34843
29
.223069.35195 .224889.35546
.34848 22309 .35201 .22491
.226719.35895
.228539.36243
.23037 32
.35552 .22674 .35901
.22857
.36248
23040 | 31
30
.34854 22312 .35207 .22494 .35558 .22677 .35907
31
+
8'
33
34
35
+
99.34890
37
38
39
.34860 .22315 .35213 .22497
9.34866 .22318 9.35219 .22500 | 9.35570
.34872 22321 .35225 .22503 .35575
.34878 .22324 .35230 .22506 .35581 .22689
.34884 .22327 .35236 .22509 .35587 .22692
.22330 9.35242
.34896 22333 .35248
.34901 .22336 .35254
.34907 .22340 .35260
+109.34913 .22343 9.35266
.35564
.22680
.35913
.22860 .36254
.22863 .36260
23043 30
.22683
9.35918
.228669.36266
.2304629
23049 28
.22686
.35924
.22869 .36271
.23052 27
.35930

.22872 .36277
.2305526
.35936
.22875 .36283
.23058 25
225129.35593
.22695
9.35942
.22878 9.36289
.23061 24
41
42
43
45
46
.22515 .35599 .22698
.22518 .35604 .22701 .35953
.22522 .35610
.22704
.35959
.22525 9.35616 .22707 9.35965
.34919 .22346 .35271 .22528 .35622 .22710
.35971
.34925 .22349 .35277 .22531 .35628 .22713 .35976 .22896 .36323
.34931 .22352 .35283 22534 .35634 .22716 .35982 .22899 .36329
+119.34937 .223559.35289 .22537 9.35639 .227199.35988 .22902 9.36335
.22358 .35295 .22540 .35645 22722 .35994 .22905 .36341
.22361 .35301 .22543 .35651 .22725 .36000 .22908 .36346
.35947
.22881 .36294
.23065 23
.22884 .36300
.23068 22
.22887
.22890 9.36312
.36306
.23071 21
.23074 20
.22893 .36318
.23077 19
.23080 18
.23083 1'7
.23086
16
47
49
50
51
53
54
.34943
.34949
.34954
.22364 .35307 .22546 .35657
+129.34960 .223679.35312 .225499.35663
.229279.36381 .23110 8
.34966 .22370 .35318 .22552 .35669 .22735 .36017
.34972 .22373 .35324 .22555 .35674 .22738 .36023
.34978 .22376 .35330 .22558 .35680 .22741
.36029
+139.34984 .22379 9.35336 .225619.35686 .22744 9.36034
.34990 .22382 .35342 .22564 .35692 .22747 .36040 22930 .36387 .23114
.34996 .22385 .35348 .22567 .35698 .22750 .36046 .22933 .36392 .23117
.35002 .22388 .35353 .22570 .35703 .22753 .36052 .22936 .36398 .23120 5
+149.35007 .223919.35359 22573 9.35709 .227569.36058 .22939 9.36404 .23123 4
.35013 .22394 .35365 .22576 .35715 .22759 .36063 .22942
.36410 .23126 3
.35019 .22397 .35371 .22579 .35721
.22762 .36069 .22945 .36415
.35025 .22400 .35377 .22582 .35727 .22765 .36075 .22948 .36421
.22403 9.35383 22585 9.35733 .22768 9.36081
55
57
58
59
+15'9.35031
.23129 2
.23132 1
.23135 0
.229519.36427
.23089 15
.23092 14
.22728 .36005
.22912 .36352
.23095 13
.227319.36011
.229159.36358
.23098 12
.22918 .36364
.23101 11
.22921 .36369
.23104
104 10
.22924 .36375
.23107 9
766
20h 14m
20h 18m
20h 11m
20h 12m
20h 10m

Page 901
TABLE IV.
Haversines.
3h 50m 57° 30'
3h 51m 57° 45′
3h 52m 58° 0' 3h 53m 58° 15'
S
3h 54m 58° 30′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat Hav.
S
солоно
0
9.36427
.231359.36772
.23319 9.37114
1
.36433
.23138
.36777
.23322 .37120
2
.36439
.23141
3
.36444
4
+
19.36450
.231479.36794
667
5
+
.231609.36817
9
10
11
+
13
14
15
+
49.36519
.36462
.36467
9.36473
.36479 .23163 .36823
.36485
.23166 .36829 .23350 .37171
.36490 .23169 .36834 .23353 .37177
39.36496 .23172 9.36840 .23356 9.37183
.36502 .23175 .36846 23359 .37188
.36508 .23178 .36852 .23362 .37194
.36513 .23181 .36857 .23365 .37200
.23184 9.36863 .23368 9.37205
.235049.37455 .23689
.23507 .37461 .23692
.36783 .23325 .37126 .23510 .37467 .23695
.23144 .36789 .23329 .37131 .23513 .37472
.23332 9.37137
.36456 .23150 .36800 .23335 .37143
.23153 .36806 .23338 .37148
.23156 .36812 .23341
.23344 9.37160
9.37794
.23875 60
.37800
.23878 59
.37806
.23881 58
.23699 .37811
.23884 57
23516 9.37478
.237029.37817
.23887 56
.23519 .37484
.23705 .37823
23891 55
.37154
.23347 .37166
.23523 .37489
.23526 .37495
.23529 | 9.37501
.23532 .37506
.23535 .37512
.23538 .37518
.23708
.37828
.23894 54
.23711 .37834
.23897 53
.237149.37840
.23900 52
.23717 .37845
.23720 .37851
.23903 51
.23906 | 50
.23723 .37856
.23909 49
235419.37523
.23726 9.37862
.23912 48
17
.36525
.23187 .36869
.23372 .37211
18
.36531
19
.36536
+
5' 19.36542
21
22
23
+
25
26
27
+
.23206 .36903
.23209 9.36909
.36571 .23212 .36915
.36577 .23215 .36920
.36582 .23218 .36926
7/19.36588 .23221 | 9.36932
.23190 .36875
.23193 .36880
.23196 9.36886
.36548 .23199 .36892
.36554 23203 .36897
.36559
69.36565
.23544 .37529
.23547 .37535
.23550 .37540
.23553 9.37546
.23556 .37552
.23375 .37217
.23560
.23378 .37222 .23563 .37563
.23381 9.37228 .23566 9.37569
.23384 .37234 .23569 .37574
.23387 .37239
.23390 .37245
.23729 .37868
.23733 .37873
.23736 .37879
.23915 47
.23918 | 46
.23922 45
.23739 | 9.37885
3925 44
.23742 .37890
.23928 43
.37557
.23745 .37896
.23931 42
.23748 .37902
.23934 41
.23751 9.37907
.23937 40
.23754 .37913
.23940 39
.23393 9.37251
.23396 .37257
29
.36594
.23224 .36937
30
.36599
.23227
.23399 .37262
.23402
.23405
.23409
.36943 .23412
31
.36605
.23230 .36949
.23415
+
89.36611
.23233 9.36955
.23418
33
.36617
.23236 .36960
.23421
34
35
.36622 23239 .36966
.36628
.23242 .36972
.23424
.23427
+
9/19.36634
37
.36640
38
.36645
39
+109.36657 23258
41
.36663 .23261
42
23246 9.36977
.23249
.23252 .36989 .23436 .37330
.36651 .23255
.36995 .23439 .37336
9.37000 .23442 9.37342
.37006 .23445 .37347
.36668 .23264 .37012 .23449 .37353
.23430
.236159.37659
.36983 .23433
.23618 .37665
.23621 .37670
.23624 .37676
.23572 .37580 .23757 .37918
.23575 .37585 .23760 .37924
.23578 9.37591 .23764 9.37930
.23581 .37597 .23767
.23584 .37602 .23770 .37941
.37268 .23587 .37608 .23773 .37947
9.37274 .23590 9.37614
.37279 .23594 .37619
.37285 .23597 .37625
.37291 .23600
9.37296 .23603 9.37636
.37302 .23606 .37642
.37308 .23609 .37648
.37313 .23612 .37653
9.37319
.37325
.23943 38
.23946 37
.23950 36
.37935
.23953.35
.23956 34
.23959 | 33
.23776 9.37952
.23962 32
.23779
.37958
.23965 81
.23782
.37963
.23968 30
.37631
.23785
.37969
.23971 29
.23788 9.37975
.23974 28
.23791 .37980
23977 27

.23795 .37986
.23981 26
.23798 .37992
.23984 25
.238019.37997
.23987 | 24
.23804 .38003
.23807 .38008
.23810
.23990 23
.23993 22
.38014
.23996 21
.236279.37682
.238139.38020
.23999 | 20
43
.36674 .23267 .37017 .23452 .37359
.23631 .37687
.23634 .37693
.23637 .37699
.23816 .38025
.23819
.24002 19
.38031
.24005 18
.23822 .38037
.24009 17
+119.36680 .23270 9.37023
.234559.37364
.23640 9.37704
.23825 | 9.38042
.24012 16
45
.36686 .23273 .37029
46
47
.36691 23276 .37034
.36697 .23279 .37040
+129.36703 .23282 9.37046
49
50
51
.36708 .23285 .37052
.36714 .23289 .37057
.36720 .23292 .37063
+ 139.36726
.23295 | 9.37069
53
.36731
.23298
54
.36737 .23301
5.5
.36743 .23304 .37086 .23489
+149.36749
57
58
59
23458 .37370
.23461 .37376 .23646 .37715 .23832 .38053
.23464 .37382 .23649 .37721 .23835 .38059
.23652 9.37727 .23838 9.38065
.23470 .37393 .23655 .37732
.23473 .37399 .23658 .37738
.23476 .37404 .23661 .37744 .23847 .38081
.23479 | 9.37410 .23665 9.37749
.37074 .23482 .37416
.23668
.37080 .23486 .37421 .23671
.37427
.23307 9.37091 .23492 9.37433
.36754 .23310 .37097 .23495 .37438
.36760 .23313 .37103 .23498 .37444
.36766 .23316 .37109 .23501 .37450
+159.36772 .23319 9.37114 .23504 | 9.37455
.23643 .37710
.23829 .38048
.24015 15
.24018 14
.24021 13
.234679.37387
.24024 12
.23841 .38070
.24027 11
.23844 .38076
.24030 10
.24033 9
.23850 9.38087
.24036 8
.37755
.23853 .38093
.24040 Υ
.37761
.23856 .38098
.24043 6
.23674
.37766
.23860 .38104
.24046 .5
.23677
9.37772
23863 9.38110
.24049 4
.23680
.37778
23683 .37783
.23686 .37789
.236899.37794 .238759.38132
.23866 .38115 .24052 3
.23869 .38121 .24055
.23872 .38126 .24058 1
.24061 0
20h 9m
20h 5m
20h 8m
20h 6m
20h 7m

TABLE IV.
[Page 91
Haversines.
3h 55m 58° 45'
3h 57m 59° 15'
3h 56m 59° 0'
3h 58m 59° 30' 3h 59m 59° 45'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav.
S
S
0
9.38132
.240619.38468
.242489.38802
.24435
9.39134
.246239.39465
.24811 60
1
.38138 .24064 .38473
.24251
.38807 .24438
.39140
.24626 .39470
.24814 59
2
.38143 .24068
.38479
.24254
.38813
.24442
.39145
.24629
.39476
.24818 58
3
.38149
.24071
.38485
24257
.38819
.24445
.39151
.24632
.39481
.24821 57
+
19.38154
.24074 9.38490
.242619.38824
.244489.39156
.246369.39487
.24824 56
567
.38160
.24077
.38166
.24080
.38496 .24264
.24267
.38501
.38830
.24451 .39162
.24639
.39492
.24827 55
.38835
.24454
.24642
.39167
.39498
.24830 54
.38171
.24083 .38507
.24270 .38841
.24457 .39173
.24645 .39503
.24833 53
+
2/ 9.38177
.240869.38512
.242739.38846
.24460 9.39178
.246489.39509
.24836 | 52
9
.38182
.24089 .38518
.24276
.38852
.24463
.39184
.24651 .39514
24840 51
10
.38188
.24092
.38524
.24279
.38857
.24467
.39189
.24654
.39520
.24843 50
11
.38194
.24096
.38529 .24282
.38863
.24470
.39195
.24658 .39525
.24846 49
+
39.38199
.24099
9.38535 .242869.38868
.24473 9.39201
.246619.39531
.24849 48
13
.38205
.24102
.38540 24289
.38874
14
.38210
.24105
.38546
.24292
15
.38216
.24108
.38551
+
49.38222
.24111 9.38557
17
.38227
.24114 .38563
.38896
.24476
.38880 .24479 .39212
.24295 .38885 .24482 .39217
.24298 9.38891 .24485 9.39223
.24301
.39206
.24664
.39536
.24852 47
.24667
.39542
.24855 46
.24670
.39547
.24858 45
.246739.39553
.2486244
.24488
.39228
.24676 .39558
.24865 43
18
.38233
.24117 .38568
.24304 .38902
.24492
.39234
.24680
.39564
.24868 42
19
.38239
.24120 .38574
.24307 .38907
.24495
.39239
.24683 .39569
.24871 41
+
59.38244 .24124 9.38579
.24310 9.38913
.24498 9.39245
.246869.39575
.24874 40
21
.38250
.24127
.38585
.24314 .38918
.24501
22
.38255 .24130
.38590
23
.38261 .24133 .38596
.24317 .38924
.24320 .38929
+
69.38267
25
.38272
26
27
+
79.38289
29
30
31
+
33
.38317
34
.38322
35
.38328
+
9/9.38334
37
.38339
.241739.38668 .24360
.24176 .38674 .24364
38
.38345
39
+10
.24180 .38680 .24367 .39013
.38350 .24183 .38685 .24370 .39018
9.38356
.241869.38691 .243739.39024
41
42
43
.38362 .24189 .38696 .24376 .39029
.38367 .24192 .38702 .24379 .39035
.38373 .24195 .38707 .24382 .39040
45
46
47
+119.38378 .241989.38713 .24385 9.39046
.38384 .24201 .38719 .24388 .39051
.38390 .24204 .38724 .24392 .39057
.38395 .24208 .38730 .24395 .39062
.24136 9.38602
.38607
.24139
.38278 .24142 .38613
.38283 .24145 .38618
.24148 9.38624 .243359.38957
.38295 .24152 .38629 .24339 .38963
.38300 .24155 .38635 .24342 .38968 .24529 .39300
.38306 .24158 .38641 .24345 .38974 .24532 .39305
89.38311 .241619.38646 .243489.38979 .24535 9.39311
.24164 .38652 .24351 .38985 .24539 .39316
.24167 .38657 .24354 .38990 .24542 .39322
.24170 .38663 .24357 .38996 .24545 .39327
.24548 9.39333
24551 .39338
.24554 .39344
.24557 .39349
.24560 9.39355
.24564 .39360
.24567 .39366
.24570 .39371
.24573 9.39377
.24576 .39382
.24579 .39388
.24582 .39393
.243239.38935
.39250
.24504
.24692
.39256
.24507 .39261 .24695
.24510 9.39267 .24698 9.39597
.24326 .38941 .24514 .39272
.24329 .38946 .24517 .39278
.24332 .38952 .24520 .39283
.24689 .39580
.24877 39
.39586
.24880 38
.39591
.24884 37
.24887
36
.24701
.39602
.24890 35
.24705
.39608
.24893 34
.24708
.39613
.24896 33
.24523 9.39289
.24711 9.39619
.24899 32
.24526 .39294
.24714 .39624
.24902 31
.24717 .39630
.24906 80
.24720 .39635
.24909 29
.24723 | 9.39641
.24912 28
.24727
.24730
.24733 .39657
.39646
.24915 27
.39652
.2491826

.24921 25
9.39002
.24736 9.39663 .24924 24
.39007
.24739 .39668
.24742 .39674
.24745 .39679
.24749 9.39685
.24752 .39690
.24755 .39695
.24758 .39701
.2492823
.24931 22
.24934 21
.24937 | 20
.24940 19
.24943 18
.24946 17
.247619.39706
24950 16
.24764 .39712
.24767 .39717
.24953 15
.24956 14
.24770
.39723
.24959 | 13
+12
9.38401
49
50
51
.242119.38735 .24398 9.39068
.38406 .24214 .38741 .24401 .39073
.38412 .24217 .38746 .24404 .39079
.38418 .24220 .38752 .24407 .39085
+139.38423 .24223 9.38757
.245869.39399
.24774
9.39728
.24962 12
53
54
55
+149.38445
57
58
59
+159.38468
.244109.39090
.24413 .39096
.24417 .39101
.24420 .39107
.38429 .24226 .38763
.38434 .24229 .38769
.38440 .24233 .38774
.24236 9.38780 244239.39112
.38451 .24239 .38785 .24426 .39118
.38457 .24242 .38791 *24429 .39123
.38462 .24245 .38796 .24432 .39129
.24248 9.38802 .24435 9.39134
.247999.39772 .24987
.24614 .39448 .24802 .39778 .24991
.24617 .39454 .24805 .39783 .24994
.24620 .39459 .24808 .39789 .24997
.246239.39465 .248119.39794 .25000
.24589 .39404
.24592 .39410
.24595 .39415
.24598 9.39421
.24601 .39426
.24604 .39432
.24607 .39437
.24777 .39734
.24965 11
.24780 .39739
.24783 .39745
.24969 10
.24972 9
.247869.39750
.24975
8
.24789 .39756
.24792 .39761
.24796 .39767
.24978
.24981
.24984
.246119.39443
7654&
1
0
20h 4m
20h 0m
20h sm
20h 1m
20h 2m

Page 921
TABLE IV.
Haversines.
S
4h 0m 60° 0'
4h 1m 60° 15'
4h 2m 60° 30'
4h 3m 60° 45'
4h 4m 61° 0'
Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. IIav.
S
0
9.39794
.25000 || 9.40121
.25189 9.40447
.25379
9.40771
.25569
9.41094
.25760 60
1
.39799
.25003 .40127
.25192 .40453
.25382
.40777
.25572
.41099
.25763 59
2
.39805
.25006 .40132
.25195 .40458
.25335
.40782
.25575
.41105
.25766 58
3
.39810
499
+
.25009
19.39816 .25013 9.40143
.40138
.25199 .40463
.25388 .40787
.25578
.41110
.25769 57
.25202 9.40469
.253919.40793 .25582 9.41115
.25772 56
5
6
.39821
.39827
.39832
.25016 .40149 .25205 .40474
.25019 .40154 .25208 .40480
.25022 .40159 .25211 .40485
.25395 .40798 25585
.25398
.40804
.25401 .40809
.41121
.25775 55
.25588
.25591 .41131
.41126
.25779 54
.2578253
+
9
2/ 19.39838
.250259.40165
.39843
10
.39849
11
.39854
.25028 .40170
.25032 .40176
.25035 .40181
.25218 .40496
.25221 .40501
.25224 .40507
+
13
14
15
.39865
.39871
.39876
+
4/19.39881.
.250509.40208
3/19.39860 .250389.40187 .252279.40512 .254179.40836
.25041 .40192 .25230 .40518
.25044 .40198 .25233 .40523
.25047 .40203 .25237 .40528
.25240 9.40534
25420 .40841
.25423 .40847
.25426 .40852
.252149.40490 .254049.40814
.25407 .40820 .25597 .41142
.25410 .40825 .25601 .41147 .25791 50
.25414 .40831 .25604 .41153 .25795 49
.25607 9.41158 .25798 48
.25610 .41163
255949.41137
.25785 52
.25788 51
.25801 47
.25613 .41169
.25804 46
.25617 .41174
.25807 45
.254299.40858
.256209.41180
.25810 44
17
.39887
18
.39892
19
.39898
+
5/19.39903
21
.39909
22
.39914
.25054 .40214 .25243 .40539
.25057 .40219
.25060 .40225
.25063 | 9.40230
.25066 .40236
.25069 .40241
.25246 .40545
.25249 .40550
.25433 .40863
.25436 .40868
.25439 .40874
.25623 .41185
.25626
.25629
.25814 43
.41190
.2581742
.41196
.25820 | 41
.252529.40555
.254429.40879
23
.39920
.25072 .40246
.25255 .40561
.25259 .40566
.25262 .40572
.25445 .40884
.25448 .40890
.25452 .40895
.25632 9.41201
.25636
.25823 40
.41206
.25826 39
.25639 .41212
.25642 .41217
.25830 38
.25833 37
+
69.39925 .250769.40252
.252659.40577 .254559.40900
.256459.41222
.25836 36
25
.39931
.25079 .40257 .25268 .40582
26
.39936
.25082 .40263
.25271 .40588
27
.39942
.25085 .40268
.25274 40593
.25458 .40906
.25461 .40911
.25464 40917
.25648 .41228
.25651 .41233
.25655 .41238
.25839 35
.25842 34
.25845 33
+
7/19.39947 .250889.40274 .252789.40599
.254679.40922
.256589.41244
25849 | 32
29
.39952
30
.39958
31
.39963
+
8/19.39969 .25101 9.40295
33
.39974
34
.39980
35
.39985
.25091 .40279 .25281 .40604 .25471 .40927
.25095 .40284 .25284 .40609 .25474 .40933
.25098 .40290 25287 .40615 .25477 .40938
.25290 9.40620
.25104 .40301 .25293 .40626
.25107 .40306 .25297 .40631
.25110 .40312
.25300 .40636
.25661 .41249
.25664 .41254
.25852 31
.25855 30
.25667 .41260
.25858 29
.25480 9.40943
.25671 9.41265
.25483 .40949
.25674 .41270
+
87
38
39
41
42
43
45
46
47
.40344 .25319 .40669
.25322 .40674
.25325 .40680
9/19.39991 .251139.40317
.39996 .25117 .40322
.40002 .25120 .40328
.40007 .25123
+109.40012
25306 .40647
.25309 .40653
.40333 .25312 .40658
.25126 9.40339
.40018 .25129
.40023 .25132 .40350
.40029 .25136 .40355
.253169.40663
+119.10034 .251399.40360 .253289.40685 .255189.41008 .257099.41329
253039.40642
.25487 .40954
.25490
.25493 9.40965
.25496 .40970
.25499 .40976
.25502 .40981
.25677 .41276
.25861 28
.2586527
.25868 26

.40960
.25680 .41281
.25871 25
25683 | 9.41287
.25874 24
.25686
.25690
.41292
.25877 23
.41297
.25880 22
.25693 .41303
.25884 21
.255069.40986
.256969.41308
.25887 20
.25509 .40992
.25699 .41313
.25512 .40997
.25702
.25515 .41003 .25705 .41324
.25890 19
.41319
.25893 18
.25896 17
.25900 16
.40040 .25142 .40366 .25331 .40690
.40045 .25145 .40371 .25335 .40696
.40051 .25148 .40377 25338 .40701
+ 129.40056 .251519.40382 .253419.40707
49
.10062
50
51
.40067
.40072
.25521 .41013
.25525 .41019
.25528 .41024
25531 9.41029
.25154 .10388 .25344 .40712 .25534 .41035
.25158 .10393 .25347 .40717 .25537 .41040
.25161 .40398 .25350 .40723 .25540 .41046
.25712 .41335
.25903 15
.25715
.25718
25721 | 9.41351
.41340
.25906 14
.41345
.25909 | 13
.25912 12
.25724
.25728
.41356
.25915 | 11
.41361
.25919 10
.25731 .41367
.25922 9
53
54
55
57
58
59
+159.40121
+149.40100 .25177 9.40425 .25366
.40105 .25180 .40431 .25369
.40111 .25183 .40436 .25372
.40116 .25186 .40442 .25376
.25189 9.40447 .25379
+ 139.40078 .251649.40404 .253549.40728
.40083 .25167 .40409 .25357 .40734 .25547 .41056
.40089 .25170 .40415 .25360 .40739 .25550 .41062
.40094 .25173 .40420 .25363 .40744 .25553
.41067 .25744 .41388
9.40750 .25556 9.41072 .25747 9.41393
.40755 .25559 .41078 .25750 .41399
.40761 .25563 .41083 .25753 .41404
.40766 .25566 .41088 .25756 .41409 .25947 1
9.40771 .25569 9.41094 .25760 9.41415 .25951 0
255449.41051
.257349.41372
.25925 8
.25737 .41377
.25740 .41383
.25928
.25931 6
.25935 5
.25938 4
.25941 3
.25944 2
19h 59m
19h 55m
19h 58m
19h 56m
19h.57m

TABLE IV.
[Page 93
Haversines.
4h 5m 61° 15'
4h 6m 61° 30'
4h 7m 61° 45′ 4h 8m 62°0′
4h 9m 62° 15'
Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. Ifav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Jav
02
S
0
9.41415
.259519.41734
.26142 | 9.42052
+
Co do d
1
.41420
.25954
2
.41425
.25957
.41739
.41745
667
3
5
19.41436
.41431.
.25960 .41750
.26145 .42057
.26148 .42062
.26152 .42068
.259639.41755
.261559.42073
.41441
.41447.
.41452
+
29.41457
9
.41463
10
.41468
11
.41473
.25966 .41761
.26158 .42078
.25970 .41766 .26161 .42083
.25973
.41771 .26164 .42089
.25976 9.41776
.25979 .41782
.25982 .41787
.25986 .41792
.261689.42094
.263349.42368 .265269.42682
.26337 .42373 .26530 .42688
.26340 .42378 .26533
.26344 .42384 .26536 .42698
.26347 9.42389 .26539 9.42703
.26350 .42394
.26543 .42709
.26353 .42399 .26546 .42714
.26356 .42405 .26549 .42719
.26360 9.42410
.26171 .42099 .26363 .42415
.26174 .42105 .26366 .42420
.26177 .42110
.26369 .42426
.26719 60
.26722 59
.42693
26726 58
.26729 | 57
26732
56
.26735
.26739 54
.26742 53
55
.265529.42724
.20745 52
.26555 .42730
.26559 .42735
.26562 .42740
.26748 51
.26751 50
.2675549
+
39.41479
.259899.41798
.261809.42115
.263729.42431
.265659.42745
.26758 48
13
.41484
14
15
.41489
.41495
.25992 .41803 .26184 .42120
.25995 .41808 .26187 .42126
.25998 .41814 .26190 .42131
.26376 .42436
.26379 .42441
.26382 .42447
.26568 .42750
.26571
.26761 47
.42756
.26764 46
.26575 .42761
.26768 45
+
49.41500 .260029.41819 .261939.42136
.263859.42452
.265789.42766
.26771 44
17
.41505
18
.41511
19
.41516
.26005 .41824 .26196 .42141
.26008 .41829 .26200 .42147
.26011 .41835 .26203 .42152
.26389 .42457
.26392 .42462
.26395 .42468
.26581 .42771
.26584
.26587 .42782
.26774 43
.42777
.26777 42
.26780 41
+
59.41521 .260149.41840
.262069.42157
.263989.42473
.265919.42787
.26784 40
21
.41527
.26017 .41845
22
.41532
.26021
23
.41537
.26024
.41851
.41856
+
69.41543 .260279.41861
25
.41548
26
.41553
2'7
+
9.41564
.26040
29
.41569
.26043
.26209 .42163
.26212 .42168
.26216 .42173
.26219 | 9.42178
.26030 .41867 .26222 .42184
.26033 .41872
.26225 .42189
.41559 .26037 .41877 .26228 .42194
9.41882
.41888
•
.26402 .42478
.26405 .42483
.26408 .42489
.26594 .42792
.26597 .42797
.26600 .42803
.26787 39
.26790 38
·
.26793 37
.264119.42494
.266049.42808
.26797 36
.26414 .42499
.26417 .42504
.26421 .42510
.26607
.26610 .42818
.42813
.26800 35
.26803 34
.26613 .42824
.26806 33
.262329.42199
.264249.42515 .266169.42829
.26809 32
80
.41575
31
.41580
.26046 .41893
.26049 .41898
26235 .42205
.26238 .42210
.26241 .42215
.26427 .42520
.26430 .42525
.26433 42531
.26620 .42834
.26813 31
.26623
.42839
.26816 30
.26626 .42844
.26819 29
+
8/9.41585
.260539.41904 .262449.42221
.264379.42536
.266299.42850
.26822 28
33
.41590
34
.41596
85
.41601
.26056 .41909
.26059 .41914
.26062 .41920
.26248 .42226
.26251 .42231
.26254 .42236
.26440 .42541
.26443 .42546
.26446 .42552
.26632 .42855
.26636 .42860
.26639 .42865
.26826 27
.26829 26

.26832 25
+
9/9.41606 .260659.41925 .26257 9.42242
.264499.42557
.266429.42870
.26835 24
37
38
89
.41612 .26069 .41930 .26260 .42247
.41617 .26072 .41935 .26264 .42252
.41622 ..26075 .41941 26267 .42257
+109.41628 .260789.41946
26453 .42562
.26456 .42567
.26459 .42573
.26645 .42876
.26649 .42881
.26652 .42886
.26838 23
.2684222
.26845 21
.262709.42263
.264629.42578
.266559.42891
.26818 20
41
42
43
.41633 .26081 .41951 .26273 .42268
41638 .26085 .41957 .26276 .42273
.41644 .26088 .41962 .26280 .42278
119.41649 .26091 | 9.41967
.262839.42284
45
46
47
.41654 .26094 .41972 .26286
.41660 .26097 .41978
.41665 .26101 .41983
.42289
.26289 .42294
.26465 .42583
.26469 42588
.26472 .42593
.26475 | 9.42599
.26478
.26481
.26658 .42897
.26661
.26665
.26851 19
.42902
.26855 18
.42907
.26858 17
.26668 | 9.42912
.26861
16
.42604
.26671
.42917
.26864 15
.42609
.26674
.42923
.26867 14
.26292 .42300 .26485 .42614
.26677 .42928
.26871 18
+129.41670 .261049.41988 .262969.42305 .264889.42620
.266819.42933
.26874 12
49
50
51
.41676 .26107 .41994
.41681 .26110 .41999
.41686 .26113 .42004
.26299 .42310 .26491 .42625
.26302 .42315 .26494
.26305 .42321
.26684 .42938
.26877 11
.42630
.26687 .42943
.26880 10
.26498
.42635
.26690 .42949
.26883 9
+139.41692 .261179.42009
.263089.42326
.265019.42641
.26694 | 9.42954
.26887 8
58
.41697
54
.41702
55
.41707
.26120 .42015 .26312 .42331 .26504 .42646
.26123 .42020 .26315 .42336 .26507
.26126 .42025 .26318 .42342 .26510
.26697 .42959
.26890
.42651
.42656
.26700
.26703
42964
.26893
.42969
.26896 5
+ 149.41713 .261299.42031
.263219.42347
.265149.42662
.26706 | 9.42975
.26900 4
57
58
59
.41718 .26132 .42036 .26324 .42352 .26517 .42667
.41723 .26136 .42041 .26328 .42357 .26520
.41729 .26139 .42046 .26331 .42363 .26523
.42672
.26710
.26713
.42980
.26903 3
.42985
.26906 2
.42677
.26716 42990
.26909 1
+ 159.41734 .261429.42052
.263349.42368 .265269.42682 .267199.42996
.26913 0
19h 54m
19h 50m
19h 58m
19h 51m
19h 52m

Page 94]
TABLE IV.
Haversines.
S
4h 10m 62° 30′
4h 11m 62° 45'
4h 12m 63° 0'
4h 13m 63° 15′
4h 14m 63° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
+
солоно
0
1
2
2/
+
3
5
6
77
19.43016
9.42996
.43001
.43006 .26919 .43317
.43011
.26913 9.43307
.27106 9.43617
.26916 .43312
.27110 .43622
.26922 .43323
.27113 .43627
.27116 .43632
.269259.43328
.43022
.26929 .43333
9
10
11
+
13
.43063
14
.43068
15
.43074
+
49.43079
.269649.43390
17
.43084
18
.43089
19
.43094
.43027 .26932 .43338
.43032 .26935 .43343
9.43037 .26938 9.43348
.43042 .26942 .43354 .27135 .43663
.43048 .26945 .43359 .27139 .43669 .27333 .43977
.43053 .26948 .43364 .27142 .43674 .27336 .43982 .27531
39.43058 .26951 9.43369 .27145 9.43679 .27339 9.43987 .27534
.26955 .43374 .27148 .43684 .27343 .43992
.26958 .43380 .27152 .43689 .27346 .43997
.26961 .43385 .27155 .43694 .27349 .44002
.27158 9.43699
.26967 .43395 .27161 .43705
.26971 .43400 .27165 .43710
.26974 .43405 .27168 .43715
.27119 9.43638
.27122 .43643
.27126 .43648
.27129 .43653
.271329.43658
.27300 9.43926
.27304 .43931
.27307 .43936
.27310 .43941
.27313 9.43946
.27317 .43951
.27320 .43956 .27515
.27323
.43961 .27518
27326 9.43967
.27495 || 9.44232
27498
.27502
.27690 60
.44238
27693 59
.44243
.27697 58
.27505 .44248
.27508 9.44253
.27511 .44258
.44263
.44268
.27700 57
.2770356
.27706 55
.27710 54
.27713 53
.27521 9.44273
.27716 52
.27330
.43972
.27524 .44278
.27719 51
.27528 .44283
.27723 50
.44289
.27726 49
9.44294
.27729 | 48
.27537
.44299
.27732 47
.27541 .44304
.27736 46
.27544
.44309
.27739 45
.273529.44008
.27547
9.44314
.27742 44
+
5/
9.43100
21
.26977 9.43411 .27171 9.43720
.43105 .26980 .43416 .27174 .43725
22
23
+
6'
25
26
27
.43136
+
9.43141
29
30
31
+ 8
9.43162
.43110 .26984 .43421 .27177 .43730
.43115 .26987 .43426 .27181
.43735
9.43120 .26990 9.43431 .27184 9.43741
.43126 .26993 .43436 .27187 .43746
.43131 .26996 .43442 .27190 .43751
.27000 .43447 .27194 .43756
.27003 9.43452
.43146 .27006 .43457
.43151 .27009 .43462
43157 .27013 .43467
.27016 9.43473
.27356 .44013
.27359 .44018 .27554
.27362 .44023
.27365 9.44028
.27369 .44033
.27372 .44038
.27375 .44043
.27378 9.44048
.27382 .44054
.27385 .44059 .27580
.27388 .44064 .27583
.27550 .44319
.27745 43
•
.44324
.27749 42
.27557 .44329
.27752 41
.275609.44334
.27755 40
.27563 .44340
.27567 .44345
.27570 .44350
.27573 9.44355
.27576 .44360
.27758 39
.27762 88
.27765 87
.27768 36
27772 35
.44365
.2777534
.44370
.27778 33
.271979.43761
.273919.44069
.27586
9.44375
.27781 32
.27200 .43766
.27394 .44074
.27589
.44380
.27785 31
.27203 .43771
.27398
.44079
.27593
.44385
27788 30
*27207
.43777
.27401
.44084
.27596 .44390
27791 29
.27210
9.43782
.27404
9.44089
.275999.44396
27794 28
33
.43167
.27019 .43478
.27213
34
.43172 .27022 .43483
.27216
.43787
.43792
.27407 .44095
35
.43177
.27025 .43488
.27220 .43797
.27411 .44100
.27414 .44105
.27602 .44401
.27606
.27798 27

.44406
.27801 26
.27609 .44411
.27804 25
+ 9
9.43183
37
38
39
+10
41
42
43
+119.43224
45
46
.43250
50
51
+ 13'
.43255
.43260
9.43266
53
.27029 9.43493
.27417 9.44110
.43188 .27032 .43498 .27226 .43807 .27420
.43193 .27035 .43504 .27229 .43813 .27424 .44120
.43198 .27038 .43509 .27232 .43818 .27427 .44125
9.43203 .27042 9.43514 .27236 9.43823 .27430 9.44130
.43209 .27045 .43519 .27239 .43828 .27433 .44135
.43214 .27048 .43524 .27242 .43833 .27437 .44141
.43219 .27051 .43529 .27245 .43838 .27440 .44146
.27055 9.43535
.27443 9.44151
.43229 .27058 .43540 .27252 .43849 .27446 .44156
.43234 .27061 .43545 .27255 .43854 .27450 .44161
47 .43240 .27064 .43550 .27258 .43859 .27453 .44166
+12 9.43245 .270689.43555 .27262 9.43864
49
.27071 .43560 .27265 .43869
.27074 .43565 .27268 .43874 .27463
.27077 .43571 .27271 .43879 .27466
.27080 9.43576 .27275 9.43884 .27469
.43271 .27084 .43581 .27278 .43890 .27472
.272239.43802
.276129.44416
.27807 24
.44115
.27615 .44421
.27811 23
.27619
.44426
.27814 22
.27622 44431
.27817 21
.27625 | 9.44436
.27820 20
.27628 .44441
.27824 19
.27632
.27635 .44452
.44446
.27827 18
.27830 17
.272499.43843
.27638 9.44457
.27833 16
.27641 .44462
.27837 15
.27645 .44467
.27840 14
.27648 .44472
.27843 18
.274569.44171
.27651 | 9.44477
.27846 12
.27459 44176
.27654 .44482
.27850 11
54
55
.43276
.43281
.27087 .43586
.27090 .43591
.27281 .43895
.27284 .43900
+149.43286 .270939.43596
.272889.43905
57
58
59
.27658 .44487
.27661 .44492 .27856 9
.27664 9.44497 .27859 8
.27667 .44502 .27863
.27671 .44507 .27866 6
.27674 .44513 .27869 5
.27677 9.44518 .27873
4
.43291 .27097 .43602 .27291 .43910
.27680 .44523 .27876 3
.43297 .27100 .43607 .27294 .43915
.27684 .44528 .27879 2
43302 .27103 .43612 .27297 .43920 .27492 .44227 .27687 .44533 .27882 1
+ 15'9.43307 27106 9.43617 .27300 9.43926 .27495 9.44232 .276909.44538 .27886 0
.44181
.44187
9.44192
.44197
.27476 .44202
.27479 .44207
.27853 10
.274829.44212
.27485 .44217
.27489 .44222
19h 49m
19h 45m
19h 48m
19h 46m
19h 47m

TABLE IV.
[Page 95
Haversines.
4h 15m 63° 45′
S
4h 16m 64° 0′ 4h 17m 64° 15′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
4h 18m 64° 30′
Log. Hav. Nat. Hav.
4h 19m 64° 45′
Log. Hav. Nat. Hav.
8
0
9.44538
.27886 9.44842
1
.44543
.27889
.44847
2
.44548
.27892
.44852
.28081
.28085
.28088 .45155
9.45144
.45149
.28278 9.45446
.28474
9.45745
.28672 | 60
.28281 .45451
.28478
.45750
.28675 59
.28284 .45456
.28481
.45755
.28678 58
3
.44553
.27895 .44857
.28091
.45160
.28288 .45461
.28484
.2868157
.45760
+1
1' 19.44558
.278999.44862
.28095
9.45165
.282919.45466
.28488 9.45765
.28685 | 56
667
5
.44563
.27902 .44867
.28098
.45170
.28294 .45471
.44568 .27905 .44872
.44573 .27908 .44877 .28104 .45180
.28101
.45175
.28297
45476
.28491
.28494
.45770
.28688 55
.45775
.2869154
.28301
.45481
.28497 .45780
.28695 53
+
2/19.44579
9
.44584
10
11
+
.44589
.44594
39.44599
13
14
15
+ 4'
17
.27912 9.44882 .281089.45185
.27915 .44887.28111 .45190
.27918 .44892 .28114 .45195
.27921 .44898 .28117 .45200
.27925 9.44903
.44604 .27928 .44908
.44609 .27931 .44913
.44614 .27935 .44918
9.44619 .27938 9.44923
.44624 .27941 .44928
.28304
9.45486
.285019.45785
28698 52
.28307
.45491
.28504 .45790
.28701 51
.28310 .45496
.28507
.45795
.28704 50
.28314 .45501
.28511
.45800
.28708 49
.281219.45205
.28317 9.45506
.28124 .45210
.28320 .45511
.28127 .45215 .28324 .45516
.28130 .45220 .28327 .45521
.28134 | 9.45225 .28330 9.45526
.28514
9.45805
.28711 48
.28517
.45810
.28714 47
.28520 .45815
.28718 46
.28137 .45230
.28333 .45531
.28524 .45820
.28527 9.45825
.28530 .45830
.28721 45
.28724 44
.28727 43
18
.44629
19
.44634
.27944 .44933
.27948 .44938
.28144
+ 5'
9.44639
.279519.44943 .28147
.28140 .45235
.45240
9.45245
21
22
23
.44645 .27954 .44948 .28150 .45250
.44650 .27957 .44953 .28153 .45255
.44655 .27961 .44958 .28157 .45260
.28337 .45536 .28534
.28340 .45541 .28537
.28343 9.45546 .28540
.28347 .45551
.28350 .45556
.28353 .45561
.45835
.28731 42
.45840
.28734 41
9.45845
.28737 40
.28543 .45850
.28741 89
.28547 .45855
.28744 38
.28550 .45860 .28747 37
+
69.44660 .27964
9.44963
.28160 9.45265
.283569.45566
25
.44665 .27967 .44968
.28163
.45270
26
.44670
.27970 .44973
.28166
.45275
27
.44675 .27974
.44978
.28170
.45280
.28553 9.45865
.28360 .45571 .28557
.28363 .45576 .28560 .45875
.28366 .45581 .28563 .45879
.28751 36
.45870
.28754 35
.28757 34
.28760 33
+
7/9.44680 .27977 9.44983
.28173
9.45285
.28369
9.45586
.28566 9.45884
.28764 32
29
.44685 -27980 .44988
.28176
.45290
.28373
.45591
.28570 .45889
.28767 31
30
.44690 .27983 .44993
.28180
.45295
.28376
.45596
.28573 .45894
.28770 30
31
.44695 .27987 .44998
.28183 .45300
.28379
.45601
.28576 .45899
.28774 29
+
.281869.45305
33
34
35
+
377
.28006 .45029 .28202 .45330 .28399 .45630
38
.45034 .28206
39
+10
41
42
43
45
46
47
+119.44761 .28029 9.45064
.44766 .28032 .45069
.44771 .28036 .45074
.44776 .28039 .45079
+12
9.44781 .28042 9.45084
8/19.44700 .279909.45003
.44705 .27993 .45009
.44710 .27997 .45014
.44715 .28000 45019
9/9.44721 .280039.45024 .281999.45325
.44726
.44731 .28010
.44736 .28013 .45039 .28209 .45340 .28406 .45640
9.44741 .28016 9.45044 .28212 9.45345
.44746 .28019 .45049 .28216 .45350 .28412 .45650
.44751 .28023 .45054 .28219 .45355 .28415 .45655
.44756 .28026 .45059 .28222 .45360 .28419 .45660
.28225 9.45365 .284229.45665
.28229 .45370 .28425 .45670
.28232 .45375 .28429 .45675
.28235 .45380 .28432 .45680
28238 9.45385 .28435 9.45685 .286329.45984
.28383
9.45606
.28580 9.45904
.28777 28
.28189 .45310
.28193 .45315 .28389 .45615
.28196 .45320 .28392 .45620
.28396 9.45625
.28386
.45610
.28583 .45909
.28780 | 27
.28586 .45914
.28783 26

.28589 .45919
.28787 25
.285939.45924
.28790 24
.28596 .45929
.28793 23
.45335 .28402 .45635
.28599 .45934
.28797 | 22
.28603 45939
.28800 | 21
.28409 9.45645
.286069.45944
.28803 20
.28609 .45949
.28807 19
.28612 .45954
.28616
.28619 9.45964
.28622 .45969
.28810 18
.45959
.28813 17
28816 16
.28820 15
.28626 .45974
.28823 14
.28629 .45979
.28826 13
.28830 12
49
.44786 .28046 .45089 .28242 .45390
.28438
.45690
.28635 .45989
.28833 11
50
.44791 .28049 .45094 .28245 .45395
.28442
.45695
.28639 .45994
.28836 10
51
+13/
.28052 .45099 .28248 .45400
53
54
55
+149.44822
57
58
59
+159.44842 .280819.45144
.44796
9.44801 .28055 9.45104 .28252 9.45405
.44807 .28059 .45109 .28255 .45410 .28451
.44812 .28062 .45114 .28258 .45415 .28455
.44817 .28065 .45119 .28261 .45420 .28458
.45720
.28068 9.45124 .28265 9.45426 .28461 9.45725
.44827 .28072 .45129 .28268 .45431 .28465 .45730
.44832 .28075 .45134
.28271 .45436 .28468 .45735
.44837 .28078 .45139 .28274 .45441 .28471 .45740
.28278 9.45446 .28474 9.45745 .286729.46043
.28445
.28448
.45700 .28642
9.45705 .28645
.45999
.28839 9
9.46004
.28843 8
.45710 .28649 .46009
.28846 7
.45715
.28652 .46014
.28849 6
.28655 .46019
.28853 5
.286589.46023 .28856 4
.28662 .46028 .28859 3
.28665 .46033 .28863
.28668 .46038 .28866 1
.28869 0
19h 44m
19h 40m
19h 43m
19h 41m
19h 42m

Page 96]
TABLE IV.
Haversines.
S
0
9.46043
.28869 9.46340
1
2
.46048 .28872 .46345
.46053 .28876
.45058 .28879
.46350
.46355
.29077
+
19.46063
.28882 9.46360
5
.46068
6
.46073
77
.46078
.28886 .46365
.28889 .46370
.28892 .46375
.29080 | 9.46655
.29084 .46660
.29087 .46665
.29090 .46670
4h 20m 65° 0'
4h 21m 65° 15′
4h 22m 65° 30'
4h 23m 65° 45′
4h 24m 66° 0'
Log. IIav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
.290079.46635
.29265 | 9.46929
.29269 .46934
.29070 .46640
.29074 .46645
.29272 .46939 .29471
.46650 .29275 .46944
.292799.46949
.29282 .46954
.29285 .46959
.294649.47222
.29467 .47227
.47231
29474 .47236
.29663 60
.29666 | 59
29670 58
.29673 57
.294779.47241
29676 56
.29481 .47246
.29484 .47251 .29683 54
.29680 55
.29289 .46963 .29487 .47256 .29686 53
+
2/ 19.46083
.288959.46380
.290939.46675
9
.46088
.28899 .46384
10
.46093
.28902
.46389
.29097 .46680
.29100 .46684
.292929.46968 .29491 9.47261
.29295 .46978 .29494 .47266
.29690 52
29693 51
11
.46098
.28905
.46394
+
39.46103
.28909
13
.46108
.28912
14
.46113
15
.46118
.29103 .46689
9.46399 .29107 9.46694
.46404 .29110 .46699
.28915 .46409 .29113 .46704
.28918 .46414 .29117 .46709
.29298 .46978
.29302 .46983
.29497 .47270
.29696 50
.29501 .47275
.29700 49
.293059.46988
.29504 | 9.47280
.29703 48
.29308 .46993
.29312 .46998
.29315 .47003
.29507
.47285
.29706 47
.29510 .47290
.29710 46
.29514
.47295
.29713 45
+
49.46123
.289229.46419
.291209.46714
17
.46128
.28925 .46424
18
.46132
.28928
19
.46137
.28932
.29123 .46719
.46429 .29126 .46724
.46434 .29130 .46729
4
.29318 9.47007
.29322 .47012
.29325 :47017
.29328 .47022
.29517
9.47300
.2971644
.29520
.47304
.29720 43
.29524 .47309
.29723 42
.29527 .47314
.29726 41
+ 5'
9.46142
.28935
21
.46147
.28938
22
.46152
23
.46157
+
25
26
277
+
9.46182
29
9.46439
.46444 .29136 .46738
.28942 .46448 .29140 .46743
.28945 .46453 .29143 .46748
69.46162 .28948 9.46458 .29146 | 9.46753
.46167 .28952 .46463 .29150 .46758
.46172 .28955 .46468 .29153 .46763
.46177 .28958 .46473 .29156 .46768
.28961 9.46478
.46187 .28965 .46483
.291339.46733
.293329.47027
.295309.47319
.29730 40
.29335 .47032
.29338 .47037
.29341 .47042
29534 .47324
.29733 39
.29537
.29540
.47329
.29736 38
.47334
29740 | 37
.293459.47046
.295449.47338
.29743 36
.291609.46773
30
31
+
33
.46207
34
.46212
35
.46217
+ 9/
37
38
39
.29163 .46778
.46192 .28968 .46488 .29166
.46197 .28971 .46493 .29169 .46787
8/9.46202 .28975 9.46498
.28978 .46503 .29176 .46797
.28981 .46508 .29179 .46802
.28985 .46512 .29183 .46807
9.46222 .28988 9.46517 .291869.46812
.46226 .28991 .46522 .29189 .46817
.46231 .28994 .46527 .29193 .46822
.16236 .28998 .46532 .29196 .46827
.46782
.291739.46792
.29348 .47051
.29351 .47056 .29550 .47348
.29355 .47061 .29554 .47353
29358 9.47066
.29361 .47071
.29365 .47076
.29368 .47081
.29371 | 9.47085
.29547 .47343
.29746 35
.2975034
.29753 33
.29557 9.47358
.29560 .47363
.29756 | 32
.29760 | 31
.29564 .47367
.29763 30
.29567 .47372
.29766 29
.295709.47377
.29770 28
.29375
.47090
.29573 .47382
29773 27
.29378
.47095
.29577
.47387
.29776 26

.29381 .47100
.29580 .47392
.29779 25
.293859.47105
.295839.47397
.29783 24
.29388. .47110
.29587 .47401
.29786 23
+109.46241 .29001 9.46537
.291999.46831
41
.46246 .29004 .46542
.29202 .46836
42
.16251
43
.46256
.29008 .46547
.29011 .46552
.29206 .46841
.29209 .46846
.29391
.29394
.29398 | 9.47124
.29401
.29404 .47134
.29408 .47139
.47115
.29590
.47406
.29789 22
.47120
.29593
.47411
.29793 21
.29597 9.47416
.29796 20
.47129
.29600 .47421
.29799 19
+119.46261 .290149.46557 .292129.46851 .294119.47144
45
46
47
+12
49
50
51
.46266 .29017 .46562 .29216 .46856
.46271 .29021 .46567 .29219 .46861
.46276 .29024 .46571
.29222 .46866
9.46281
.46286 .29031 .46581 .29229 .46875
.46291 .29034 .46586 .29232 .46880
.46296 .29037 .46591 .29236 .46885
139.46301 .290419.46596
.29414 .47149
.29418 .47154
.29421 .47159
.29603 .47426
.29607 .47431 .29806 17
.296109.47435 .29809 16
.29613 .47440 .29813 15
.29617 .47445
.29620 .47450
.29803 18
.29816 14
.29819 | 13
.290279.46576 .292269.46871
.294249.47163
.296239.47455
.29823 12
.292399.46890
53
.46305
54
55
+149.46320 290549.46616 .292529.46910
57
.46325 .29057 .46621
.29255
58
59
.46330 .29060
46335 .29064
159.46340 .290679.46635
.46626 .29259
.46630 .29262
.46919
.46924
.29265 | 9.46929
.29428 .47168
.29826 11
.29431 .47173
.29829 10
.29434 .47178 .29633 .47469 .29833 9
.294389.47183 .29637 9.47474
.29044 .46601 .29242 .46895 .29441 .47188 .29640
.47479
.16310 .29047 .46606 .29245 .46900 .29444 .47193 .29643 .47484
.46315 .29051 46611 .29249 .46905 .29447 .47197 .29647 .47489
.29650 9.47493
.29653 .47498 .29853 3
.29657 .47503 .29856 2
.29660 .47508 .29859 1
.29663 9.47513 .29863
0
.29627 .47460
.29630 .47464
.29836 8
.29839
.29843
.29846 5
.29451 | 9.47202
.46915 ..29454 .47207
.29457 .47212
.29461 .47217
.29849
.294649.47222
19h 39m
19h 35m
19h 38m
19h 36m
19h gym

TABLE IV.
[Page 97
Ilaversines.
4h 25m 66° 15'
S
4h 26m 66° 30' 4h 27m 66° 45'
Log. IIav. Nat. Hav. Log. IIav. Nat. IIav. Log. Hav. Nat. IIav.
4h 28m 67° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. IIav.
4h 29m 67° 15′
S
2
∞ ∞ NO
0
9.47513
.298639.47803
.30063 9.48091
.30263
9.48378
.30463
9.48664
.30664 60
1
.47518 .29866 .47807
.30066 .48096
.30266
.48383
.30467 .48668
.30668 | 59
.47523 .29869
.47812
.30069 .48101
.30269
.48387
.30470 .48673
.30671 58
3
.47527
.29873 .47817
.30073 .48105
.30273 .48392
.30473 .48678
.30675 57
+
1' 19.47532
.298769.47822
567
.47537
.29879 .47827
.30076 | 9.48110
.30079 .48115
.302769.48397
.47542
.47547
.29883
.29886 .47836
.47831
.30083 .48120
.30280 .48402
.30283 .48407
.30477 9.48683
.30480 .48687
.30678 56
.30681 | 55
.30484 48692
.30685 54
.39086 .48124
.30286 .48411
.20487 .48697
.30688 53
+1
29.47552
298899.47841
.30089
9.48129
.30290 9.48416
.304909.48702
.30691 52
9
.47556
10
.47561
11
.47566
.29893 .47846
.29896
.29899 .47856
.30093
.48134
.30293
.48421
.30494 .48706
.30695 51
.47851
.30096 .48139
.30296
.48426
.30497
.48711
.30698 50
.30099 .48144
.30300
.48430
.30500 .48716
.30701 49
+
3/19.47571 .299039.47860
.30103
9.48148
.30303
9.48435
.305049.48720
.30705 48
18
.47576
14
.47581
.29906 .47865 .30106
.29909 .47870
.48153
.30306
.48440
.30507 .48725
.30708 47
15
.47585
+
49.47590
17
18
.47600
19
.47605
+
59.47610
.29913
.29916
.47595 .29919
.29923
.29926
29929
.30109 .48158
.30113 .48163
.30310
.48445
.30510
.48730
.30711 46
.301169.48168
21
.47614 .29933
22
.47619 .29936 .47908
.30136
.48196
.47875
9.47880
.47884 .30119 .48172
.47889 .30123 .48177 .30323 .48464
.47894 .30126 .48182 .30326 .48468 .30527
9.47899 .30129 9.48187 .30330 9.48473 .30530
.47904 .30133 .48192 .30333 .48478 .30534
.48483
.30313 .48449
.30514 .48735
.30715 45
.303169.48454
.305179.48739
.30718 44
.30320 .48459
.30520 .48744
.30721 43
.30524 .48749
.30725 42
.48754
.30728 41
9.48758
.3073240
.48763
.30735 39
.30336
.30537 .48768
.30738 38
23
.47624 .29939 .47913
.30139
.48201
.30340
.48488
.30540 .48773
.30742 | 37
+
69.47629 .29943 9.47918
.30143
9.48206
.30343 9.48492
.30544 9.48777
.30745 36
25
26
27
+
.47634
.29946 .47923
.47639 .29949 .47928
.47643 .29953 .47933
9.47648
.30146
.48211
.30346
.48497
.30547
.48782
.30748 35
.30149
.48215
.30350 .48502
.30551 .48787
.30752 34
.30153 .48220
.30353 .48507
.30554 .48792
.30755 33
.299569.47937
.301569.48225
.303569.48511
.305579.48796
.30758 32
29
.47653 .29959 .47942
30
.47658
31
.47663
+
89.47668
.29963 .47947
.29966
.47952
.29969 | 9.47957
.30159 .48230 .30360 .48516
.30163 .48235
.30166 .48239
.30561 .48801
.30762 31
.30363 .48521
.30366 .48526
.301699.48244 .303709.48530
.30564
.30567
.30571 | 9.48815
.48806
.30765 30
.48811
.30768 29
.30772 28
83
.47672
34
.47677
85
.47682
.29973 .47961
.29976 .47966
.29979 .47971
+
99.47687 .29983 9.47976
.301839.48263
37
.47692 .29986 .47981
.30186 .48268
38
89
.47697 .29989 .47985
.47701 .29993 .47990
.30189
.30193
.48273
.48278
.30173 .48249 .30373
.30176 .48254 .30376
.30179 .48258 .30380 .48545
.30383 9.48549
.30386 .48554
.30390 .48559
.30393 .48564
.48535
.30574 .48820
.30775 27

.48540
.30577 .48825
.30779 26
.30581 .48830
.30782 25
.30584
9.48834
.30785 24
.30587 .48839
.30789 | 23
.30591
.48844
.30792 22
.30594 .48848
.30795 21
+109.47706
41
42
.47711
.47716 .30003
.29996 | 9.47995
.29999 .48000
.30196 9.48282 .303979.48568
.305979.48853
30799 | 20
.48005
48
.30199 .48287
.30203 .48292
.47721 .30006 .48009 .30206 .48297
.30400 .48573
.30403
.30407 .48583
.30601 .48858
.30802 19
.48578
.30604
.30607
.48863
.30805 18
.48867
.30809 17
+119.47725 .30009 9.48014
.30209 9.48302
.304109.48587
.30611 | 9.48872
.30812 16
45
.47730 .30013 .48019
46
.47735
47
.47740
.30016 .48024
.30019 .48029
+12
9.47745
.30023 9.48033
.30213 .48306
.30216 .48311 .30417 .48597
.30219 .48316 .30420 .48602
.30223 9.48321 .304239.48607
.30413 .48592
.30614
.48877
.30815 15
.30618
.48882
.30819 | 14
.30621 .48886
.30822 13
.30624 9.48891
.30826 | 12
49
50
51
.47750 .30026 .48038
.47754 .30029 .48043
.47759 .30033 .48048
.30226 .48325
.30229 .48330
.30233 .48335
.30427 .48611
.30430 .48616
.30433 .48621
.30623
.30631
.48896
.30829 11
.48901
.30832 10
.30634 .48905
.30836 9
139.47764
.30036 | 9.48053
.302369.48340
.304379.48626 .306389.48910 .30839 8
53
.47769
.30039 .48057
54
.47774
55
.47778
.30239 .48344
.30043 .48062 .30243 .48349
.30046 .48067 .30246 .48354
57
58
59
+159.47803
.30263
19h 33m
+149.47783 .300499.48072 .302499.48359
.306519.48929 .30852 4
.47788 .30053 .48077 .30253 .48364 .30453 .48649 .30655 .48934 .30856 3
.47793 .30056 .48081 .30256 .48368 .30457 .48654 .30658 .48938 .30859 2
.47798 .30059 .48086 .30259 .48373 .30460 .48659 .30661 .48943 .30862
.30063 9.48091
9.48378 .304639.48664 .306649.48948 .30866 0
19h 34m
19h 32m
19h 31m
19h 80m
.30440 .48630
.30443 .48635
.30447 .48640
.30641 .48915 .30842 17
.30644 .48919 .30846 6
.30648 .48924 .30849 5
.304509.48645
63355°-17- -7

Page 98]
TABLE IV.
S
20
Haversines.
4h 30m 67° 30′ 4h 31m 67° 45' 4h 32m 68° 0
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
4h 33m 68° 15′
Log. Hav. Nat. Hav.
4h 34m 68° 30'
Log. Hav. Nat. Hav.
S
1
0723
+
9.48948 .30866 9.49231
.48953 .30869 .49235
.48957 .30873 .49240
.48962 .30876 .49245
19.48967
.31078 .49526
.31068 9.49512 .31270 9.49793 .31472 9.50072
.31071 .49517 .31273 .49797 .31475 .50076
.31074 .49522 .31276 .49802 .31479 .50081
.31280 .49807
.31675 60
31678 59
.31682 58
.31482 .50085
.31685 57
.308799.49250
.31081 9.49531
.312839.49811
.314869.50090
.31688 56
5
.48971
6
.48976
ཏ
.48981
.30883 .49254
.30886 .49259
.30889 .49264
.31084 .49536
.31088 .49540
.31091 .49545
.31287 .49816
.31290 .49821
.31293 .49825
.31489 .50095
.31492
.31496
.31692 55
.50099
.31695 54
.50104
.31699 53
+ 2/19.48986
.308939.49268
.310959.49550
9
.48990
.30896 .49273
10
.48995
.30899
11
.49000
.30903
+
39.49004
.30906
13
.49009
.30910
.31098 .49554
.49278 .31101 .49559
.49282 .31105 .49564
9.49287
.49292
.311089.49568
.312979.49830
.31300 .49835
.31303 .49839
.31307 .49844
.313109.49849
.314999.50109
.31702 52
.31503 .50113
.31705 51
·
.31506
.50118
.31709 50
.31509
.50123
.31712 49
.315139.50127
.31716 48
14
.49014
.30913
.49297
15
.49019
.30916 .49301
.31111 .49573
.31115 .49578
.31118 .49583
+ 4/
9.49023
.309209.49306
.311219.49587
17
.49028
.30923 .49311
.31125
.49592
18
.49033
.30926 .49315
.31128
.49597
.31314 .49853
.31317 .49858
.31320 .49862
.31324 9.49867
.31327 .49872
.31330 .49876
.31516 .50132
.31519
.31523 .50141
.31719 47
.50136
.3172246
.31726 45
.315269.50146
.31530 .50150
.31533 .50155
.31729 44
.31732 43
.31736 42
19
.49038
.30930 .49320 .31132 .49601
.31334 .49881
.31536 .50160
.31739 41
+
59.49042
.30933 9.49325
21
.49047
.30936 .49329
22
.49052
23
+
.49056
6/9.49061
25
26
27
+
.31337 9.49886
.31341 .49890
.30940 .49334 .31142 .49615 .31344 .49895
.30943 .49339 .31145 .49620 .31347 .49900
.30946 9.49344 .31148 9.49625 .31351 9.49904
.49066 .30950 .49348 .31152 .49629 .31354 .49909
.49071 .30953 .49353 .31155 .49634 .31357
.49075 .30957 .49358 .31158 .49639 .31361
9.49080 .30960 9.49362
.31364 9.49923
.311359.49606
.31540 9.50164
31742 40
.31138 .49611
.31543 .50169
.31746 39
.31546
.31550
.50174
.31749 38
.50178
.31753 37
.31553 9.50183
.31756 86
.49914
.31557
.31560 .50192
.50187
.31760 35
.31763 34
.49918
.31563 .50197
.31766 33
.311629.49643
.31567 9.50201
31770 32
29
.49085 .30963 .49367
.31165 .49648
.31367
.49928
.31570 .50206
.31773 31
80
.49089
.30967 .49372
.31169 .49653
.31371
.49932
.31573 .50211
.31776 80
81
.49094
+
8' 19.49099
.30970 .49376
.30973
.31172 .49657
.31374
.49937
.31577 .50215
.31780 29
9.49381
.31175
83
34
35
.49104 .30977
.30980 .49390
.30983 .49395 .31185
.49386
.31179
+
9
87
38
39
+10
9.49137
41
42
48
.49108
.49113
9.49118 .30987 9.49400
.49122 .30990 .49405
.49127 .30994 .49409 31196
.49132 .30997 .49414 .31199
.31000 9.49419 .31202
.49141 .31004 .49423 .31206
.49146 .31007 .49428 .31209 .49709
.49151 .31010 .49433 .31212 .49713
.31182
.49690
.49695
9.49699
9.49662 .31378 9.49942
.49667 .31381 .49946
.49671 .31384 .49951
.49676 .31388 .49956
.31189 9.49681 .31391 9.49960
.31192 .49685 .31394 .49965
.31398 .49969
.31401 .49974
.31580 9.50220
.31783 28
.314059.49979
.49704
+11
9.49155
.310149.49437
.312169.49718
45
.49160
46
.49165
.31017 49442
.31020 .49447
47
.49170
+12
9.49174
.31219 .49723
.31222 .49727
.31024 .49451 .31226 .49732
.31027 9.49456
.31408 .49983
.31411
.31415 .49993
.31418 9.49997
.31421 .50002
.31425 .50007
.31428 .50011
.31584
.31587 .50229
.31590
.31594 9.50238
.31597 .50243
.31601 .50248
.31604 .50252
.31607 9.50257
.31611 .50261
.50224
.31787 27
.31790 26

.50234
.31793 25
.31797 24
.3180023
.31804 22
.31807 21
.31810 20
.31814 19
.49988
.31614
.50266
.31817 18
.31617 .50271
.31820 17
.31621 9.50275
.31824 16
.31624 .50280
.31827 15
.31628 .50284
.31631 .50289
.31831 14
.312299.49737
.314329.50016
.316349.50294
49
.49179 .31031
.49461
50
51
.49184 .31034
.49188 .31037
.49465
.49470
.31233 .49741
.31236 .49746
.31239 .49751
+139.49193
.310419.49475
.312439.49755
53
54
5.5
.310549.49494 .312569.49774
57
.49217
58
.49221
59
.49226
+ 15'9.49231
.31068 9.49512 .31270
.31057 .49498 .31260 .49779
.31061
.31263 .49783
.49503
.31064 .49508 .31266 .49788
9.49793
.31044 .49480
49198
.31246 .49760
.31047
.49202
.49484 .31249 .49765 .31452 .50044 .31655
.49207 .31051 .49489 .31253 .49769 .31455
.31658
.50048
.31661 9.50331
+14' 9.49212
.31459 9.50053
.31462 .50058 .31665 .50335
.31465
.31469
.31435 .50021
.31438 .50025
.31442 .50030
.31445 9.50034
.31448 .50039
.50298
.31638
.31641 .50303
.31644
.31834 13
.31837
.31841 11
.31844 10
.50308 .31848 9
12
.31648
9.50312
.31851 8
.31651
.50317
.31854 17
.50322
.31858 6
.50326
.31861 5
.31865 4
.31868 3
.50062 .31668
.50067
.50340
.31871 2
.31672
.50345
.31875 1
.31472
9.50072
.31675
9.50349
.31878 0
19h 29m
19h 25m
19h 28m
19h 26m
19h 27m

TABLE IV.
[Page 99
Haversines.
4h 35m 68° 45′
S
4h 36m 69° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
4h 37m 69° 15′
0
9.50349
.31878
1
.50354
.31881
2
.50358
.31885
3
.50363
H+
19.50368
.318929.50644
667
5
.50372
.50377
.50382
+
29.50386
.319059.50662
9
.50391
10
.50395
11
.50400
.31909 .50667
.31912 .50672
.31915 .50676
+
39.50405 .319199.50681
13
.50409
.31922 .50685
14
.50414
.31926
Log. Hav. Nat. Hav.
9.50626 .32082 9.50901 .32285
.50630 .32085 .50905 .32289
.50635 .32088 .50910 .32292
.31888 .50639 .32092 .50914
.32095 9.50919
.31895 .50649 .32099
.31898 .50653 .32102 .50928
.31902 .50658 .32105 .50933
.32109 9.50937
.32112 .50942
.32116 .50946
.32119 .50951
.32122 | 9.50956
.32126
.50690 .32129
4h 38m 69° 30'
Log. Hav. Nat. Hav.
4h 39m 69° 45′
Log. Hav. Nat. Hav.
S
9.51174 .32490 9.51447
.51179 .32493 .51452
.51184 .32496 .51456
.32694 | 60
.32698 59
.32701 58
.32296 .51188
.32500 .51461
.32704 57
.32299 9.51193
.32503 9.51465
.32708 56
.50924
.32302 .51197
.32306 .51202
.32309 .51206
.32507 .51470
.32510 .51474
.32513 .51479
.32711 | 55
.32715 54
.3271853
.323139.51211
.32316 .51215
.32319 .51220
.32323 .51225
.32326 9.51229
.51492
.325179.51483
.32520 .51488
.32524
.32721 | 52
.32725 51
.3272850
.32527 .51497
.32732 49
.32531 9.51501
.32735 48
15
.50418
.31929
+ 4'
9.50423
.31932
.321369.50974
17
.50428
.31936
18
.50432
19
.50437
+ 5'
9.50442
21
.50446
22
.50451
23
.50455
.32160 .51006
.50960
.50965
.50694 .32133 .50969
9.50699
.50704 .32139 .50978
.31939 .50708 .32143
.50983 .32347
.31942 .50713 .32146 .50988 .32350 .51261
.31946 9.50717 .32150 9.50992 .32353 9.51265
.31949 .50722 .32153
.31953 .50727 .32156
.31956 .50731
.32330
.51234
.32534 .51506
.32738 47
.32333 .51238
.32537
.51510
.32742 46
.32336 .51243
.32541
.51515
.32745 45
.323409.51247
.32544
9.51519
.32749 44
.32343 .51252
.32547
.51524
.32752 43
.51256
.32551
.51529
.32756 42
.32554 .51533
.32759 41
.32558 9.51538
.32762 40
.50997
.32357
.51270
.32561
.51542
.32766 39
.51001
.32360 .51275
.32364 .51279
.32565 .51547
.32769 38
+
6'
9.50460
.319599.50736
.321639.51010
.323679.51284
25
.50465
26
.50469
.31963 .50740
.31966 .50745
27
.50474
.31970 .50750
+79.50478
29
.50483
30
.50488
31
.50492
.31983 .50768
.32187 .51042
.32166 .51015 .32370 .51288
.32170 .51019 .32374 .51293
.32173 .51024 .32377
.31973 9.50754 .32177 9.51029 .32381
.31976 .50759 .32180 .51033 .32384
.31980 .50763 .32183 .51038
.32388
.32391 .51315
.32568
.32571 9.51556
.32575 .51560
.51551
.32773 37
.32776 36
.32779 35
.32578 .51565
.32783 34
.51297
.32582 .51569
.32786 33
9.51302
.32585 9.51574
.32790 32
.51306
.51311
.32588
.32592 .51583
.51578
.32793 31
.32797 30
.32595 .51587
.32800 29
+8
9.50497
.31987 9.50772
.32190 9.51047
.32394
9.51320
.32599 | 9.51592
.3280328
33
.50501
.31990
34
35
+ 9/
37
88
39
.50777 .32194 .51051
.50506 .31993 .50782 .32197 .51056
.50511 .31997 .50786 .32200 .51061
9.50515 .32000 9.50791 .32204 9.51065
.50520 .32004 .50795 32207 .51070
.50524 .32007 .50800 .32211 .51074
.50529 .32010 .50805 .32214 .51079
.32398
.51325
.32602 .51596
.32807 27

.32401
.32405 .51334
.51329
.32408 | 9.51338
.32411 .51343
.32605
.32609
.32612 9.51610
.32616
.51601
.32810 26
.51605
.32814 25
.32817 24
.51614
.32820 23
.32415 .51347
.32418 .51352
.32619 .51619
.32824 22
.32623
.51623
.32827 21
+109.50534 .320149.50809
.322179.51083
.324229.51356
41
42
43
.50538 .32017 .50814
.50543 .32021 .50818
.50547 .32024 .50823
.32221 .51088
.32224 .51092
.32425 .51361
.32626
.32629
9.51628
.32831 20
.51633
.32834 19
.32428 .51365
.32633 .51637
.32838 18
.32228 .51097 .32432 .51370
.32636 .51642
.32841 17
119.50552 .320279.50827 .322319.51102
45
46
47
+12
49
50
51
+139.50589
53
54
55
+
57
58
59
+159.50626
.50557 .32031 .50832
.50561 .32034 .50837
.50566 .32037 .50841 .32241 .51115
9.50570 .320419.50846 .32245 9.51120
.50575 .32044 .50850 .32248 ·.51124
.50580 .32048 .50855 .32251 .51129
.50584 .32051 .50860 .32255 .51133
.32054 9.50864
.50593 .32058 .50869
.50598 .32061 .50873
.50603 .32065 .50878
149.50607 .32068 9.50882 .32272 9.51156
.50612 .32071 .50887 .32275 .51161
.50616 .32075 .50892 .32279 .51165
.50621 .32078 .50896 .32282
.32082 9.50901
.32235 .51106
€32238 .51111
.32435 9.51374
.32438 .51379
.32442 .51384
.32445 .51388
.326409.51646
.32643 .51651
.32646 .51655
.32844 16
.32848 15
.32851 14
.324499.51393
.32452 .51397 .32657 .51669
.32456 .51402 .32660 .51673
.32459 .51406
.322589.51138 .32462 9.51411
.32262 .51143 .32466 .51415
.32265 .51147 .32469 .51420
.32268 .51152 .32473 .51424 .32677 .51696 .32882 5
.32476 9.51429 .32681 9.51700 .32885 4
.32479 .51433 .32684 .51705 .32889 3
.32483 .51438 .32687 .51709 .32892 2
.51442 .32691 .51714 .32896 1
.32694 9.51718 .32899 0
.51170 .32486
.32285 9.51174
.32490 9.51447
.32650 .51660
.32653 9.51664
.32855 13
.32858 12
.32861 11
.32865 10
.32663 .51678
.32868 9
.32667 | 9.51682
.32872 8
.32670 .51687
.32875 7
.32674 .51691
.32878 6
19h 24m
19h 20m
19h 23m
19h 21m
19h 22m

Page 100]
TABLE IV.
S
Haversines.
4h 40m 70° 0'
4h 42m 70° 30'
4h 43m 70° 45'
4h 41m 70° 15′
4h 44m 71° 0
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Iav.
S
соло вать о
2
3
9.51718 .32899 9.51988
.51723 .32902 .51993
.51727 .32906 .51997
.51732 .32909 .52002
.33104 9.52257 .333109.52525 .33515 9.52791
.33108 .52261 .33313 .52529 .33519 .52795
.33111 .52266 .33317 .52533 .33522 .52800
.33114 .52270 .33320 .52538 .33526 .52804
.33722 60
33725 59
.33728 58
.33732 57
+
1/19.51736
.329139.52006
.331189.52275
.333239.52542
.335299.52809
.33735 | 56
567
.51741
.51745
.51750
.32916 .52011
.32920
.32923 .52020
.52015
.33121 .52279
.33125 .52284
.33128 .52288
+
2/
9.51754
.329269.52024
.331329.52293
.33327 .52547
.33330 .52551
.33334 .52556
.333379.52560
.33533 .52813
.33536
33739 55
.52817
33742 54
.33540 .52822
.33746 53
.335439.52826
.33749 | 52
9
.32930 .52029
10
11
+
13
14
15
+
4/19.51790
.51759
.51763 .32933 .52033
.33138
.51768 .32937 .52038 .33142 .52306
39.51772 .32940 9.52042 .33145 9.52311
.51777 .32943 .52047 .33149 .52315
.51781 .32947 .52051 .33152 .52320
.51786 .32950 .52056 .33156 .52324
.32954 9.52060
.33135 .52297
.52302
.33341 .52565
.33344 .52569
.33347 .52573
33351 9.52578
.33546 .52831
33753 51
.33550
.52835
.33756 50
.33553
.52839
.33759 49
.33557 9.52844
.33763 48
33354 .52582
.33358 .52587
.33361 .52591
.33560 .52848
.33564 .52853
.33567 .52857
.331599.52328
.333659.52596
17
.51795
.32957
18
.51799
.32961
19
.51804
.32964
.52065 .33162 .52333
.52069 .33166 .52337
.52074 .33169 .52342
.33368 .52600
.33371 .52605
.33375 .52609
.335709.52862
.33574 .52866
.33577 .52870
.33581 .52875
.33766 47
.33770 46
.3377345
.33777 44
.33780 43
.3378342
.33787 41
+
5'9.51808
.32967 9.52078
.331739.52346 .33378 9.52613
.335849.52879
.33790 40
21
.51813
22
.51817
23
.51822
.32971 .52082
.32974 .52087
.32978 .52091
.33176 .52351
.33382 ..52618
+
69.51826
.32981 9.52096
.33179 .52355
.33183 .52360
.33186 9.52364
.33385 .52622
.33389 .52627
.33392 9.52631
25
.51831
.32984
.52100
.33190
.52369
.33395 .52636
.33588 .52884
.33591 .52888
.33594 .52893
.33598 9.52897
.33601 .52901
.33794 39
.33797 38
.33801 | 37
.33804 ❘ 36
.33808 35

26
.51835
.32988
.52105
33193
.52373
27
.51840 .32991
.52109
.33197
.52378
+
9.51844
29
30
31
+
.32995
.51849 .32998
.51853 .33002 .52123
.51858 .33005 .52127
89.51862 .330089.52132
9.52114 .33200 9.52382
.52118 .33203 .52386
.33207 .52391
.33210 *.52395
.332149.52400
33
.51867
34
.51871
.33015
35
.51876
.33019
.33012 .52136
.52141
.52145
+
99.51880
.33022 | 9.52150
.332279.52418
37
.51885
38
.51889
.33029
39
.51894
.33032
.33025 .52154 .33231 .52422
.52159 .33234
.52163 .33238
.33399 .52640
.33402 .52645
.33406 9.52649 .33612
.33409 .52653 .33615
.33413 .52658
.33416 .52662
.33419 9.52667
.33217 .52404 .33423 .52671
.33221 .52409 .33426 .52676 .33632
.33224 .52413 .33430 .52680 .33636
.33433 9.52684 .33639
.33436 .52689 .33642 .52954
.33605
.52906
.33811 34
.33608
.52910
.33814 33
9.52915
.33818 32
.52919
.33821 31
.33618 .52923
.33825 30
.33622 .52928
.33828 | 29
.336259.52932
.33832 28
.33629 .52937
.33835 27
.52941
.33839 26
.52946
.33842 25
9.52950
.33845 24
.33849 23
+10
9.51898
.33036 9.52168
.33241
.52427
.52431
9.52436
.33440 .52693 .33646 .52959
.33852 22
.33444 .52698
.33447 | 9.52702
.33649 .52963
.33856 21
.33653 9.52968
.33859 20
41
.51903 .33039 .52172
.33245
.52440
.33450 .52707
.33656 .52972
.33863 19
42
43
.51907 .33043 .52177
.51912 .33046 .52181
119.51916 .33049 9.52185
.33248 .52444
.33251 .52449
.33255 19.52453
45
46
51921
.51925 .33056 .52194
.33053 .52190
.33258
.33262
.52458
.52462
47
.51930 .33060 .52199
.33265
.52467
.33454 .52711
.33457 .52715 .33663 .52981
.33461 9.52720 .33667 9.52985
.33464 .52724 .33670
.33467 .52729 .33673
.33471 .52733
.33660 .52976
.33866 18
.33869 | 17
.33873 16
.52990
.33876 15
.52994
.33880 14
.33677 .52999
.33883 13
+129.51934
49
.51939
50
.51943
51
.51948
.33063 9.52203
.33067 .52208
.33070 .52212
.33073 .52217
.33269 9.52471
.33272 .52476
.33275 .52480
.52484
.33279
.33474 | 9.52738
.33680
9.53003
.33887 12
.33478 .52742
.33684
.53007
.33890 | 11
.33481 .52747
.33687
.53012
.33894: 10
13'
9.51952
.33077 9.52221
.33282
9.52489
.33485
.33488 9.52755
.52751
.33691
.53016
.33897
9
.336949.53021
33900
8
53
.51957
.33080
.52226
.33286
.52493
.33491 .52760
.33698
54
.51961
.33084
.52230
.33289
.52498
55
.51966
.33087
.52235
.33293
.52502
14
9.51970
.33090 9.52239
.33296 9.52507
57
58
59
.33094
.51975
.51979 .33097
.51984 .33101
.33299
.52244
.52511
.52248 .33303 .52516
.52253 .33306 .52520
.33505
.52778
.33509
.33512
.52782
.52786
.33904
.53025
.33495 .52764
.53029
6
.33701
.33907
.33498 .52769 .33704 .53034 .33911 5
.33914
.33502 9.52773 .33708 9.53038
4
.33711 .53043 .33918
.33715 .53047 .33921
.53051
.33718
7
3
.33925
+15'
9.51988
.33104 9.52257
.33310 9.52525 .335159.52791
.33722 9.53056
.33928
0
19h 19m
19h 15m
19h 18m
19h 16m
19h 17m

TABLE IV.
[Page 101
4h 45m 71° 15′
S
4h 46m 71° 30'
Log. Hav. Nat. Hav. Log. IIav. Nat. IIav.
042♡
9.53056
.339289.53320
.34135
1
.53060 .33931 .53324
.34138
.53065 .33935 .53328
.34142
9.53582
.53587
.53591
3
.53069
.33938 .53333
.34145 .53595
+
19.53073
LO
5
.53078
6
.53082
ry
.53087
.53346
.33952 .53350
.339429.53337 .34149 9.53600
.33945 .53342 34152 .53604
.33949
.34155 .53609
.34159 .53613
.343569.53861
Haversines.
4h 47m 71° 45'
4h 48m 72° 0' 4h 49m 72° 15′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. S
.343429.53844 .34549
.34345 .53848 .34553
.34349 .53852 .34556 .54113
.34352 .53857 .34560 .54117
.345639.54121
9.54104
.34757 60
.54108
.34760 59
.34359 .53865
.34363 .53870
.34366
.34566 .54126
.34570 .54130
.53874 .34573 .54134
.3476458
.34767
.34771 56
.347741 55
57
.34778 54
.34781 53
+
29.53091
.339569.53355
.341629.53617
.34369
9.53879
.345779.54139
.34784 52
9
.53096
.33959 .53359
.34166 .53622
.34373
.53883
.34580 .54143
.34788 51
10
.53100
.33962
.53364
.34169
.53626
.34376
.53887
.34584
.54147
.34791 50
11
.53104
.33966 .53368
.34173
.53630
.34380 .53892
.34587 .54152
.34795 49
+
39.53109
.339699.53372
13
.53113
.33973 .53377
14
.53118
.33976 .53381
.34176 9.53635
.34180 .53639
.34183 .53643
.343839.53896
.345919.54156
.34798 48
15
.53122
+4 49.53126
17
.53131
18
19
+ 5'
.33980 .53385
.33983 9.53390
.33986 .53394
.53135 .33990 .53399 .34197
.53140 .33993 .53403 .34200
9.53144
.34186 .53648
.341909.53652
.34193 .53657
.34387 .53900
.34390 .53905
.34394 .53909
.34397 9.53913
.34400 .53918
.34594 .54160
.34802 47
.34598 .54165
.34601 .54169
.34805 46
.34809 45
.34604
.34608
9.54173
.34812 44
.54177
.34816 | 43
.53661
.34404 .53922
.34611 .54182
.34819 42
.53665
.34407 .53926
.34615 .54186
.34823 41
.33997 9.53407
.34204
9.53670
.344119.53931
.34618 9.54190
.34826 40
21
.53148 .34000 .53412 .34207
.53674
22
23
+ 6'
25
26
27
+
29
30
31
+
8/9.53197
33
34
35
+
99.53214
37
.53219
38
39
.53153 .34004 .53416 .34211 .53678
.53157 .34007 .53421 .34214 .53683
9.53162 .340119.53425 .34218 9.53687
.53166 .34014 .53429 .34221 .53691
.53170 .34018 .53434 .34224 .53696
.53175 .34021 .53438 .34228 .53700
7/9.53179 .340249.53442 .34231 9.53704
.53184 .34028 .53447 .34235
.53188 .34031 .53451 .34238 .53713
.53192 .34035 .53456 .34242 .53718
.34038 9.53460
.53201 .34042 .53464 .34249 .53726
.53206 .34045 .53469 .34252 .53731
.53210 .34049 .53473 .34256 .53735
.34052 9.53477
.34055 .53482
.53223 .34059 .53486
.53228 .34062 .53491
.34414 .53935
.34418 .53939
.34622
.34625
.54195
.34830 39
.54199
.34833 38
.34421 .53944
.34629 .54203
.34836 37
.34425 9.53948
.34632 9.54208
.34840 36
.34428 .53952
.34636 .54212
.34843 35
.34432 .53957
.34435 .53961
.34439 9.53966
.34639 .54216
.34847 34
.34643 .54221
.34850 33
.34646 9.54225
.3485432
.53709
.34442 .53970
.34649
.54229
.34857 31
.34445 .53974
.34449
.34653
.54234
.34861 30
.53978
.34656
.54238
.34864 29
.342459.53722
.34452 9.53983
.34660
9.54242
.34868 28
.34456 .53987
.34663
.54247
.34871 27

+109.53232 .34066 9.53495 .34273
41
42
43
45
46
47
49
50
51
.53271 .34097 .53534 .34304 .53796
.53276 .34100 .53539 .34307 .53800
.53280 .34104 .53543 .34311 .53805
53
54
55
+14
57
58
59
15'
9.53320
.34459
.34463 .53996
.34466 9.54000
.34262 .53744 .34470 .54004
.34266 .53748 .34473 .54009
.34269 .53752 .34477 .54013
9.53757 .34480 9.54017
.53236 .34069 .53499 .34276 .53761 .34483 .54022
.53241 .34073 .53504 .34280 .53765 .34487 .54026
.53245 .34076 .53508 .34283 .53770 .34490 .54030 .34698 .54290
119.53249 .34080 9.53512
.34494 9.54035
.53254 .34083 .53517 .34290 .53778 .34497 .54039
.53258 .34087 .53521 .34293 .53783 .34501 .54043 .34708 .54303
.53263 .34090 .53526 .34297 .53787 .34504 .54048 .34712 .54307
+129.53267 .34093 9.53530 .34300 9.53792 .34508 9.54052
.34511 .54056
.34515 .54061
.34518 .54065
+139.53285 .34107 9.53547 .343149.53809 .34521 9.54069
.53289 .34111 .53552 .34318 .53813 .34525 .54074
.53293 .34114 .53556 .34321 .53818 .34528 .54078
.53298 .34118 .53560 .34325 .53822 .34532 .54082
9.53302 .341219.53565 .34328 9.53826 .34535 9.54087
.53307 .34124 .53569 .34331 .53831 .34539 .54091 .34746
.53311 .34128 .53574 .34335 .53835 .34542 .54095 .34750
.53315 .34131 .53578 .34338 .53839 .34546 .54100 .34753
.34135 9.53582 .34342 9.53844 .34549 9.54104 .34757
.53991
.34667
.54251
.34875 26
.34670 .54255
.342599.53739
.346749.54260
.34677 .54264
.34681 .54268
.34878 25
.3488224
.34885 23
.34888 22
.34684 .54272
.34892 21
.34688 9.54277
.34895 20
.34691
.54281
.34899 19
.34694 .54285
.34902 18
.34906 17
.342879.53774
.34701 9.54294
.34909 16
.34705 .54298
.34913 15
.34916 14
.34920 13
.347159.54311
.34923 12
.34719 .54316
.34722 .54320
.34726 .54324 .34933 9
.34729 9.54329 .34937 8
.34733 .54333 .34940
.34736 .54337 .34944
.34739 .54341 .34947
.34743 9.54346 .34951
.34927 11
.34930 10
.54350 .34954 3
.54354 .34958
.54359 .34961
9.54363 .34965
7654SQI
0
19h 14m
19h 10m
19h 13m
19h 11m
19h 12m

Page 102]
TABLE IV.
S
1
2
ON RO
9.54363
54367 .34968 .54625
Haversines.
♥
4h 52m 73° 0
4h 50m 72° 30' 4h 51m 72° 45'
4h 53m 73° 15′
Log. IIav. Nat. IIav. Log. IIav. Nat. Hav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav.
.349659.54621
.353819.55133
4h 54m 73° 30'
Log. Hav. Nat. Hav.
の
​.351739.54878
.54372 .34972
3
.54376
.34975
+
19.54380
.54629
.54634
.34979 9.54638
.35176 .54882
35180 .54886
.35183 .54890
.351879.54895
5
.54385
6
.54389
7
54393
+ 2/19.54397
.34982 .54642
.3498€ .54647
.34989 .54651
.34992 | 9.54655
.35190 .54899
.35194 .54903
.35197 .54907
.352019.54912
9
.54402
10
.54406
.34996 .54659
.34999 .54664
11
.54410
.35003 .54668
+
319.54415
.350069.54672
13
14
15
+
4'
17
18
19
.54419 .35010 .54677
.54423 .35013 .54681
.54428 .35017 .54685
9.54432 .35020 9.54689
.54436 .35024 .54694
.54440 .35027 .54698
.54445
.35204 .54916
.35208 .54920
.35211 .54924
.35215 9.54929
.35218 .54933
.35222 .54937
.35225 .54942
.35385 .55137
.35388 .55142
.35392 .55146
.35395 9.55150
.35399 .55154
.35402 .55159
.35406 .55163
.85409 9.55167
.35413 .55171
.35416 .55176
.35420 .55180
.35590
.35594 .55392
9.55387
.35799 60
.35803 59
.35597 .55396
.35806 | 58
.35601 .55400
.35810 57
•
35604 9.55404
.35608
.35611 .55413
.35615 .55417
.35813 | 56
.55409
.3581755
.35820 54
.35824 | 58
.356189.55421
.35622 .55425
.35625
.35628 .55434
.35827 | 52
.35831
51
.55430
.35834 50
.35838 49
.354239.55184
.35427 .55188
.35430 .55192
.35434 .55197
.356329.55438
.35635 .55442
.35639
.35642 .55451
.35841 48
.35845 47
.55447
.35848 46
.35852 45
.35228 | 9.54946
.354379.55201
.356469.55455
.35855 44
.35232 .54950
.35235
.54954
.35031
.54702
.35239
.54959
.35441 .55205
.35444
.35448 .55214
.35649 .55459
.35859 43
.55209
.35653
.55463
.35862 42
.35656 .55468
.35865 41
+
59.54449 35034
9.54707
.35242
9.54963
.35451 | 9.55218
.356609.55472
.35869 40
21
.54453 .35038
.54711 .35246
.54967
22
54458
.35041 .51715
.35249
.54971
23
.54462
.35044 .54719
.35253
.54976
.35454 .55222
.35458 .55226
.35461 .55231
.35663 .55476
.35872 39
.35667
.55480
.35876 38
.35670 .55485
.35879 37
+1
69.54466
.35048 | 9.54724
35256 9.54980
.354659.55235
.356749.55489
.35883 36
25
.54471
26
.54475
27
.54479
.35051 .54728
.35055 .54732
.35058 .54736
.35260 .54984
.35263 .54988
.35267 .54993
+ +
719.54483
.350629.54741
.352709.54997
29
.54488
30
.54492
31
.54496
.35065 .54745 .35274 .55001
35069 .51749
.35277 .55005
.35072 .54754 .35281 .55010
.35468 .55239
.35472 .55243
.35475 .55248
35479 | 9.55252
.35482 .55256
.35486 .55260
.35489 .55265
.35677 .55493
.35886 35
.35681
.55497
.35890 34
.35684 .55501
.35893 33
.356889.55506
.35897 32
.35691 .55510
.35695
.35698 .55518
.35900 31
.55514
.35904 30
.35907 29
+
89.54501 .350769.54758 .352849.55014
.354939.55269
.357029.55523
.35911 28
33
54505
34
.54509
35
.54514
.35086
.35079 .54762
.35083 .54766
.54771
+-
9/9.54518
.35090 | 9.54775
37
54522
.35093
38
54526
.35097
39
.54531
+109.54535
41
42
43
- 119.54552
45
54556
46
54561
47
.54565
.35288 .55018
.35291 .55022
.35294 .55027
.35298
.54779 .35301
.54784 .35305 .55039
.35100 .54788 .35308 .55044
.35103 19.54792
.54539 .35107 .54796
.35110
.54544
.54801
.54548
.54805
.35114
.35322 .55061
.35326 | 9.55065
.35117 9.54809
.35121 .54813 .35329 .55069
.35124 .54818
.35333
.35128 .54822 .35336 .55078
.35496 .55273
.35500
.35503 .55282
.35705 .55527
.35914 27

.55277
.35709 .55531
.35918 26
.35712 .55535
.35921 25
9.55031
.355079.55286
.55035
.353129.55048
.35716 9.55539
.35510 .55290 .35719
.35514 .55294 .35723 .55548
.35517 .55298
.35521 | 9.55303
.35925 24
.55544
.3592823
35932 22
.35726 .55552
.35935 21
.35730 9.55556
.35939 20
.35315 .55052
35319
.35524 .55307
.35733 .55561
.35942 19
.55057
.35528
.35531
.55311
.35737
.55565
.35946 18
.55315
.35740
.55569
.35949 17
.35534 | 9.55320
.357439.55573
35953 16
35538
.55324
.35747
.55577
.35956 15
.55074
.35541
.55328
.35545
.55332
.35750 .55582
.35754 .55586
.35960 14
.35963 13
- 129.54569
351319.54826
353409.55082
.355489.55337
.357579.55590
49
.54574
50
54578
51
.54582
.54831
.35135
.35128 .54835
.54839
.35142
35343
35347 .55091
.35350 .55095
.55086
.35552
.55341
.35761 .55594
.35967
.3597011
12
.35555
.55345
.35764
.55598
.35974 10
.35559
.55349
.35768
.55603
.35977 9
+ 139.54587 351459.54843
353549.55099
.35562 | 9.55354
.357719.55607
.35981
8
53
54591
.35149
.54848
.35357 .55103
.35566
.55358
.35775
.55611
.35984
ry
54
.54595
.35152
.54852
.35361
.55108
.35569
.55362
.35778
55
.54599 .35156 54856
.35364
.55112
.35573
+
149.54604 .351599.54860
.353689.55116
57
.54608
.35162 .54865
.35371
58
54612 .35166
.54869
.35374
59
.54617 .35169
.54873
.35378
159.51621
.351739.54878
353819.55133
.55366
.35576 9.55370 .35785 9.55624
.55120 .35580
.35789
.55375
.55125
.35792
.35583 55379
.55129
.55636
.35587 .55383 .35796
.35590 9.55387 .35799 9.55641
.55615
.35782 .55620
.35988 6
.35991
5
.35995
4
.55628
.35998
3
.55632
.36002
2
.36005 1
.36009
0
19h 9m
19h 5m
19h Sm
19h 6m
19h 7m

TABLE IV.
[Page 103
4h 55m 73° 45' 4h 56m 74°0'
Haversines.
4h 57m 74° 15'
4h 58m 74° 30'
4h 59m 74° 45′
S
0
9.56144
1
2
.55649 .36016
3
.55653
+1
19.55657
.55901
.36019 .55905
.36023 9.55909
.56148
.36225 .56152
.36229 .56156
Log. IIav. Nat. Hav. Log. Ilav. Nat. IIav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. Iav.
9.55641 .360099.55893 .36218
.55645 .36012 .55897 .36222
9
.36428 | 9.56393
.36431 .56397
.36435 .56402
.36438 .56406
.366389.56642
.36642 .56646
.36645
.36649 .56654
.56650
.3684860
.36852 | 59
.3685558
.36859 | 57
.362329.56160
.364429.56410
.366529.56658
.36862 | 56
667
5
+
29.55674
9
.55662 .36026 .55914
.55666 .36030 .55918
.55670 .36033 .55922 .36243 .56173
.36036 9.55926 .36246 9.56177
.55678 .36040 .55930 .36250
.36236 .56164
.36239 .56169
.36445 .56414
.36449 .56418
.36452 .56422
.36656 .56663
.36659
.36663 .56671
.36866 55
.56667
.36869 54
.36873 53
.36456|9.56426
366669.56675
.36877 52
.56181
10
.55683 .36043 .55935
.36253
.56185
.36459 .56431
.36463 .56435
.36670 .56679
.36880 | 51
11
+
13
14
.55695
.55699
15
.55704
+
49.55708
.360649.55960
.55687 .36047 .55939
39.55691 .36050
.36054 .55947 .36264 .56198
.36057 .55951 .36267 .56202
.36061 .55955 .36271 .56206
9.56210
.36257
.56189
9.55943
.36260
9.56194
.36466 .56439
.36470 I 9.56443
.36473 .56447
.36477
.36480 .56456
3667
.36677 .56687
.56683
.36884 | 50
.36887 49
.366809.56692
.36891 48
.36684 .56696
.36894 47
.56451
.36687
.36691
.56700
.36898 46
.56704
.36901 45
.36274
.364849.56460
.36694 | 9.56708
.36905 44
17
.55712
.36068 .55964
.36278
.56214
18
.55716
19
.55721
.36071 .55968 .36281
.36075 .55972 .36285
.56219
.56223
.36487 .56464
.36491 .56468
.36494 .56472
.36698
.36701
.56712
.36908 43
.56716
.36912 42
.36705 .56720
.36915 41
+
5/9.55725
.360789.55976 .36288 9.56227
.364989.56476
.367089.56725
.36919 | 40
21
.55729
22
.55733
23
.55737
.36082 .55981
.36085 .55985
.36089 .55989
.36292 .56231
.36501 .56480
.36712 .56729
.36922 39
.36295 .56235
.36505
.56485
.36715 .56733
.36926 38
.36299
.56239
.36508
.56489
.36719 .56737
.36929 37
+ 69.55742
.360929.55993
.36302
9.56244
.36512
9.56493
.367229.56741
.3693336
25
.55746
.36096 .55997
.36306
.56248 .36515
.56497 .36726 .56745
.36936 35
26
.55750
27
.55754
.36099
.36103
.36309
.56001
.56252
.56006 .36313 .56256
.36519
.36522
.56501
.36729
.56749
.36940 34
.56505
.36733 .56753
.36943 | 33
+
79.55758
.36106 9.56010
.363169.56260
.36526 9.56509
.367369.56758
.36947 32
29
.55763
.36110 .56014
30
.55767
31
+
.55771
89.55775 .361209.56027 .36330
.36113 .56018 .36323 .56269
.36117 .56022 .36327
33
34
.55779
.55784
35
.36529 .56514
.36533 .56518
.56273 .36536 .56522
9.56277
.36124 .56031 .36334 .56281
.36127 .56035 .36337 .56285
.55788 .36131 .56039 .36341 .56289
36320 .56264
.36740 .56762
.36743
.36747 .56770
.36950. 31
.56766
.36954 30
.36957 29
.365409.56526
.367509.56774
.36961 28
.36543 .56530
.36754 .56778
.36964 27

.36547
.56534
.36757 .56782
.36968 26
.36551
.56538
.36761 .56786
.36971| 25
+
9.55792
.361349.56043 .363449.56294
.36554
9.56543
.36764 9.56791
.36975 | 24
37
.55796 .36138 .56047
.36348 .56298
.36558
.56547
38
.55800
.36141 .56052
39
.55805
.36145 .56056
+ 109.55809
.361489.56060
41
42
43
.55813
.36152 .56064
.55817
.55821
.36155 .56068
.36159 .56073
.56314
.56318
.36368 .56323
.36351 .56302
.36355 .56306
36358 | 9.56310
.36362
.36365
.36561 .56551
.36565 .56555
.36768
.36771
.36775 .56803
.56795
.3697823
.56799
.36982 22
.36985 21
.365689.56559
.367789.56807
.36989 20
+ 119.55826
.361629.56077
.363729.56327
45
.55830
46
47
.55834
.55838
+129.55842
49
50
51
13
9.55859
58
.36166 .56081 .36376 .56331
.36169 .56085 .36379 .56335
.36173 .56089 .36382 .56339
.36176 9.56093 .36386 | 9.56343
.55846 .36180 .56098 .36389 .56348
.55851 .36183 .56102 .36393 .56352
.55855 .36187 .56106 .36396 .56356
.361909.56110 .36400 9.56360
.55863 .36194 .56114 .36403 .56364
.36572 .56563
.36575 .56567
.36579 .56572
.36582 | 9.56576
.36586 .56580
.36589 .56584
.36593 .56588
.36782 .56811
.36785 .56815
.36789 .56819
.367929.56824
.36992 19
.36996
.36999 17
.37003 16
18
.36796 .56828
.37006 15
.36799 .56832
.37010 14
.36803 .56836
.37013 18
.365969.56592 .36806 9.56840
.36600 .56596 .36810 .56844
.36603 .56601
.36607 .56605
.37017 12
.37020 11
.56852
.366109.56609
54
.55867
55
.55872
.36197 .56118
.36201 .56123
.36407 .56368
.36410 .56373
.36614 .56613
.36617 .56617
.36621 .56621
149.55876 .362049.56127 .36414 9.56377
.366249.56625
.36813 .56848
.36817
.36820 | 9.56856
.36824 .56861
.36827 .56865
.36831 .56869 .37041 5
.36834 9.56873
.37045 4
.37024 10
.37027 9
.37031 8
.37034 17
.37038 6
5'7
.55880
58
.55884
.36208
.36211
59
.55888 .36215
159.55893
.56131 .36417 .56381
.56135 .36421 .56385
.56139 .36424 .56389
.36218 9.56144 .36428 9.56393
.36635
.36628 .56630
.36631 .56634
.56638
.36838
.56877 .37049 3
.36841
.56881
.37052
.36845 .56885
.37055 1
.36638
9.56642
.368489.56889
.37059 0
19h 4m
19h Om
19h 3m
19h 1m
19h 2m

Page 104]
TABLE IV.
8
Haversines.
5h 2m 75° 30'
5h Om 75° ✔ 5h 1m 75° 15'
5h 3'm 75° 45' 5h 4m 76°0'
Log. Hav. Nat. Hav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav. Log. IIav. Nat. Hav.
9.56889
.370599.57136 .372709.57381 .374819.57625 .37692 9.57868 .37904 60
.56893 .37063 .57140 .37273 .57385 .37485 .57629 .37696 .57872 .37907 59
123
.56898
.56902
.37066 .57144
.37070 .57148
.37277 .57389
.37280 .57393
.37488
.37492
.57633
.57637
.37699
.57876
.37911 58
.37703
.57881
.37914 57
+
19.56906
.370739.57152
.372849.57397
LO
5
.56910
.37077 .57156
.37287 .57402
6
.56914
.37080 .57160
77
.56918
.37084 .57165
+ 29.56922
.37087 9.57169
.37291 .57406
.37295 .57410
.37298 9.57414
9
.56926
10
.56931
11
.56935
.37091 .57173
.37094 .57177
.37098 .57181
+
39.56939
.37101 9.57185
18
.56943
14
.56947
.37105 .57189
.37108 .57193
.37302 .57418
.37305 .57422
.37309 .57426
.37312 9.57430
.37316 .57434
.37495 | 9.57642
.37499 .57646
.37502 .57650
.37506 .57654
.37509 9.57658
.37513 .57662
.37516 .57666
.37520 .57670
.37706 9.57885
.37918 56
.37710 .57889
.37713 .57893
.37717 .57897
.37922 55
.37925 54
.37929 53
.377219.57901
.37932 52
.375239.57674
.37319
15
.56951
.37112 .57197
.37323
.57438
.57442
+
49.56955
.37115 9.57201
17
.56959
.37119
.57205
18
.56963
19
.56968
.37122 .57210
.37126 .57214
.37326 9.57446
.37330 .57450
.37333 .57454
.37337 .57459
+
5/9.56972
.371299.57218
.373409.57463
21
.56976
22
.56980
23
+
.37133 .57222
.37136 .57226
.56984 .37140
69.56988 .37143
25
.56992
26
.56996
27
.57000
.37344 .57467
.37347 .57471
.57230 .37351 .57475
9.57234
.37147 .57238
.37150 .57242
.37154 .57246
.373549.57479
.37527 .57678
.37530 .57682
.37534 .57686
.37537 9.57690
.37541 .57694
.37544 .57698
.37548 .57702
.37551 9.57706
.37555 .57711
.37558 .57715
.37562 .57719
.37566 9.57723
.37724 .57905
.37728 .57909
.37731 .57913
.37735 9.57917
.37738 .57921
.37936 51
.37939 | 50
.37943 49
.37946 48
.37950 47
.37742 .57925
.37953 46
.37745 .57929
.37957 45
.377499.57933
.37960 44
.37752 .57937
.37964 48
.37756
.37759 .57945
.57941
.37967 | 42
.37971 41
.377639.57949
.37974 40
.37766 .57953
.37770 .57957
.37773
.37978 39
.37982 88
.57961 .37985 37
.37777
9.57965
37989 | 36
+
79.57005
.371579.57250
29
.57009
80
31
.57013
.57017
+
89.57021. .371719.57267 .37382
.37358 .57483
.37361 .57487
.37365 .57491
.37368 9.57495
.37161 .57255 .37372 .57499
.37164 .57259 .37375 .57503
.37168 .57263 .37379 .57507
9.57511
.37569 .57727
.37780
.57969
.37992 85
.37573 .57731
.37576 .57735
.37784 .57973
.37996 34
.37788 .57977
.37999 33
.375809.57739
.377919.57981
.38003 32
.37583 .57743
.37587 .57747
.37590 .57751
.37594 9.57755
.37794 .57986
.37798 .57990
.37802
.37805 9.57998
.38006 31
.38010 30
.57994
.3801329
.38017 28
33
.57025
.37175 .57271 .37386
.57516
.37597 .57759
34
.57029
.37179 .57275 .37389 .57520
35
.57033
+
9/9.57037 .371869.57283
37
.57042
38
.57046
89
.57050
.37189 .57287
.37193 57291
.37196 .57295
.37601 .57763
.37182 .57279 .37393 .57524 .37604 .57767
.37397 9.57528 .37608 9.57771
.37400 .57532 .37611 .57775
.37404 .57536 .37615 .57779
.37407 .57540 .37618 .57783
.37809
.37812 .58006
.37816 .58010
.37819 9.58014
.37823
.37826
.37830 .58026
.58002
.38020 27

.38024 26
.3802725
.38031 24
.58018
.58022
.38034 23
.3803822
.38042 21
+109.57054
.37200 9.57299
.374119.57544
.376229.57787
.378339.58030
.38045 20
41
.57058
.37414 .57548
42
.57062
43
.57066
+ 11
9.57070
.37214 | 9.57316
45
46
47
+129.57087 .37228 9.57332
49
.57091 .37231
50
54
55
+14
57
58
59
+159.57136
.37203 .57304
.37625 .57792
.37207 .57308 .37418 .57552 .37629 .57796
.37210 .57312 .37421 .57556 .37632 .57800
.37425 9.57560 .37636 9.57804
.57074 .37217 .57320 .37428 .57564 .37639 .57808
.57078 .37221 .57324 .37432 .57568 .37643 .57812
.57083 .37224 .57328 .37435 .57572 .37647 .57816
.37439 9.57577 .37650 | 9.57820
.57336 .37442 .57581
.37865 .58066
.57095 .37235 .57340 .37446 .57585 .37657 .57828 .37869 .58070 .38080 10
51 .57099 .37238 .57344 .37449 .57589 .37661 .57832 .37872 .58074
9
.38084
.372429.57348 .37453 9.57593
+13' 9.57103
.37664 9.57836 .37876 9.58078 .38087 8
58 .57107 .37245 .57353 .37456 .57597 .37668 .57840 .37879 .58082 .38091
.57111 .37249 .57357 .37460 .57601 .37671 .57844 .37883 .58086 .38095
.57115 .37252 .57361 .37463 .57605 .37675 .57848 .37886
5
.58090 .38098
.37256 9.57365 .37467 9.57609
.37890 9.58094
9.57119
.37678 9.57852
.38102 4
.57124 .37259 .57369 .37470 .57613 .37682 .57856 .37893
.38105
.58098
.57128 .37263 .57373 .37474 .57617 .37685 .57860 .37897 .58102 38109 2
.37266 .57377
.57132
.37477 .57621 .37689 .57864 .37900
1
.38112
.58106
.37270 9.57381 .37481 9.57625 .37692 9.57868 .37904 9.58110 .38116 0
.37837 .58034
.37840
.38049 19
.58038
.38052 18
.37844 .58042
.38056 17
.378479.58046
.38059 16
.37851 .58050
.37855
.37858 .58058
.38063 15
.58054
.38066 14
.38070 | 13
.378629.58062
.38073 | 12
.37654 .57824
.38077 11
ry
6
18h 59m
18h 55m
18h 58m
18h 56m
18h 5'7m

TABLE IV.
[Page 105
Пaversines.
5h 5m 76° 15′
5h 6m 76° 30'
5h 7m 76° 45'
5h 8m Hypy O'
5h 9m 7° 15'
8
Log. Hav. Nat. Hav. Log. Hav. Nat. Ilav. Log. IIav. Nat. IIav. Log. IIav. Nat. Hav. Log. IIav. Nat. IIav.
0
1
2
+
667
5
9.58110 .38116 9.58351
.58114 .38119 .58355
.58118 .38123 .58359
.58122 .38126 .58363
19.58126 .38130 9.58367
.58131 .38133 .58371
.58135 .38137 .58375
.58139 .38140 .58379
.38328 9.58591
.38331 .58595
.38335 .58599
.38338 .58603
.385409.58830
.38752
.38544 .58834 .38756
.38547 .58838 .38760 .59076
.38551 .58842 .38763 .59079
9.59068
.38965 | 60
.59072
.38969 59
.38972 58
.38976 57
.383429.58607
.38345 .58611
.38349 .58615
.38352 .58619
.385549.58846
.38558 .58850
.38561
.38565 .58858
.387679.59083
.3897956
+
29.58143
.381449.58383
.383569.58623
.385689.58862
9
.58147
.38148 .58387
10
.58151
.38151
.58391
11
.58155
.38155
.58395
.38360 .58627
.38363 .58631
.38367 .58635
.38572 .58866
.38575 .58870
.38579 .58874
.38770 .59087
.58854 .38774 .59091
.38777 .59095
.38781 9.59099
.38784 .59103
.38788 .59107
.38791 .59111
.3898355
.38986 54
.38990 53
.38994 52
.38997 51
+
39.58159
.38158 9.58399
.383709.58639
18
14
15
.58171
+1
49.58.175
.58163 .38162 .58403
.58167 .38165 .58407
.38169 .58411
.38172 9.58415
.38374 .58643
.38377 .58647
.38381 .58651
.383849.58655
.385829.58878
.38586 .58882
.38590 .58885
.38593 .58889
.385979.58893
.387959.59115
.38799 .59119
.38802 .59123
.38806 .59127
.39001 50
.39004 49
.3900848
.39011 47
.39015 | 46
.39018 45
.388099.59131
.39022 44
17
.58179
.38176 .58419
18
.58183
.38179 .58423
19
.58187
.38183 .58427
.38388 .58659
.38391 .58663
.38395 .58667
+
59.58191
.381869.58431
.383989.58671
21
.58195
22
.58199
.38190 .58435
.38193 .58439
.38402
23
.58203
.38197 .58443
+
69.58207
25
26
27
+
29
80
81
+
8/9.58239
33
34
35
.58675
.38827 .59151
.38406 .58679 .38618 .58917 .38830 .59155
.38409 .58683 .38621 .58921 .38834 .59158
.38200 | 9.58447 .384139.58687 .38625 9.58925
.58211 .38204 .58451 .38416 .58691 .38628 .58929
.58215 .38208 .58455 .38420 .58695 .38632 .58933
.58219 .38211 .58459 .38423 .58699 .38636 .58937
/9.58223 .38215 9.58463 .384279.58703
.58227 .38218 .58467 .38430 .58707
.58231 .38222 .58471 .38434 .58711
.58235 .38225 .58475 .38437 .58715
.38229 9.58479 .38441 9.58719
.58243 .38232 .58483 .38444 .58723 .38657 .58961
.58247 .38236 .58487 .38448 .58727 .38660 .58965
.58251 .38239 .58491 .38451 .58731 .38664 .58969
.38600 .58897
.38604 .58901
.38607 .58905
.38611 9.58909
.38614 .58913
.38813 .59135
.38816
.38820 .59143
.39025 43
.59139
.39029 42
.39033 41
.388239.59147
.39036 40
.39040 39
.3904388
.39047 37
.388379.59162
.38841 .59166
.38845
.38848 .59174
.39050 | 36
.3905485
.59170
.386399.58941
.388529.59178
.38643 .58945
.38646 .58949
.38650 .58953
.38855 .59182
.38859 .59186
.38862 .59190
.39057 34
39061 | SS
.39064 32
.39068 31
.3907230
.39075 29
.386539.58957
.38866 9.59194
.39079 | 28
.38869 .59198
.39082 27
.38873
.38876 .59206
.59202
.39086 26

.39089 25
+
9/19.58255 .382439.58495
.384559.58735
.386679.58973
.38880 9.59210
.3909324
37
.58259
38
.58263
39
.58267
.38246 .58499
.38250 .58503
.38254 .58507
41
42
48
.38459 .58739 .38671 .58977
.38462 .58742 .38675
.38466 .58746 .38678
+109.58271 .382579.58511 .384699.58750 .38682
.58275 .38261 .58515 .38473 .58754 .38685
.58279 .38264 .58519 .38476 .58758 .38689 .58996
.58283 .38268 .58523 .38480 .58762
.38884 .59214
.39096 28
.58981
.38887 .59218
.39100 22
.58985
.38891 .59222
.39103 21
9.58989
.38894 | 9.59225
.39107 20
.58992
.38898
.59229
.39111 19
.38901
.59233
.39114 18
.38692 .59000
.38905 .59237
.39118 17
45
46
+119.58287 .382719.58527 .38483 9.58766
.58291 .38275 .58531 .38487 .58770
.58295 .38278 .58535 .38490 .58774 .38703
.386969.59004
.38908 9.59241
.39121 16
.38699 .59008
.38912 .59245
.39125 15
.59012
.38915 .59249
.39128 14
•
47
+12
.382859.58543
49
50
51
.38498 9.58782 .387109.59020
.58307 .38289 .58547 .38501' .58786 .38713 .59024
.58311 .38292 .58551 .38505 .58790 .38717 .59028
.58315 .38296 .58555 .38508 .58794 .38721 .59032
+139.58319 .382999.58559 .38512 9.58798
.58299 .38282 .58539 .38494 .58778 .38706 .59016
9.58303
.38919 .59253
.39132 13
.38923 9.59257
.39135 12
.38926 .59261
.39139 11
.38930 .59265
.38933 .59269
.39143 | 10
.39146 9
.387249.59036
.389379.59273
58
54
55
57
58
59
15
9.58351
.383289.58591
.58323 .38303 .58563 .38515 .58802 .38728 .59040
.58327 .38307 .58567 .38519 .58806
.58331 .38310 .58571 .38522 .58810
+149.58335 .383149.58575 .38526 9.58814
.58339 .38317 .58579 38529 .58818 .38742 .59056
.58343 .38321 .58583 .38533 .58822 .38745
.58347 .38324 .58587 .38536 .58826 .38749
.385409.58830 .38752
.38731 .59044
.38735 .59048
.38940 .59277
.38944 .59281
.38947 .59285
.39150
.39153
7
.39157 6
.39160 5
.387389.59052
.389519.59289
.39164 4
.38954 .59292 .39167 3
.59060 .38958 .59296 .39171 2
.59064 .38962 .59300 .39174 1
9.59068 .38965 9.59304
.39178 0
18h 54m
18h 50m
18h 53m
18h 51m
18h 52m

Page 106]
TABLE IV.
Haversines.
сл
+1
Co do no
S
0
.391789.59540
.393919.59774
1
.59308 .39182
.59544
2
.59312
.39185
.59548
3
.59316
.39189
.59552
.39604 9.60008
.39395 .59778 .39608 .60012
.39398 .59782 .39612 .60016
.39402 .59786
5h 10m yy° 30'
5h 11m ryny 45'
5h 12m 78° 0'
5h 13m 78° 15'
5h 14m 78° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
9.59304
.39818
.39821
.39825 .60248
9.60240
.40032 60
.60244
.40035 | 59
.40039 58
.39615 .60020
.39829 .60252
.40042 57
1/ 19.59320
.391929.59556
.39405 | 9.59790
.39619 9.60023
.398329.60256
.40046 56
5
.59324
.39196
.59559
.39409
6
.59328
.39199
.59563
.39412
7
.59332
.39203 .59567
.39416
+ $29.59336
.392069.59571
.39420 9.59806
9
.59340
.39210 .59575
10
.59344
.39214
.59579
11
.59348
.39217
.59583
+
39.59351 .39221
9.59587
13
.59355
14
.59359
15
.59363
.39224
.39228 .59595
.39231 .59599
+ 4'
9.59367
17
.59371
18
.59375
19
.59379
.39423 .59809
.39427 .59813
.39430 .59817
.39434 9.59821
.59591 .39437 .59825
.39441 .59829
.39444 .59833
.392359.59602 .39448 9.59837
.39238 .59606 .39451 .59841
.39242 .59610 .39455 .59845
.39245 .59614 .39459 .59848
.59794 .39622 .60027
.59798 .39626 .60031
.59802 .39629 .60035
.39633 9.60039
.39636 .60043
.39640 .60047
.39644 .60051
.39836 .60260
.40049 55
.39839
.39843
.60263
.40053 54
.60267
.40057 53
.398469.60271
.40060 52
.39850 .60275
.39854
.39857 .60283
.40064! 51
.60279
.40067 50
.40071 49
.396479.60054
.398619.60287
.40074 48
.39651 .60058
.39654 .60062
.39658 .60066
.39864 .60291
.39868
.39871 .60298
.40078 47
.60294
.40081 46
.40085 45
.396619.60070
.398759.60302
.40089 44
+
59.59383
.392499.59618
.394629.59852
21
.59387
.39253 .59622
22
.59391
.39256
23
.59395
.39260
+
10 10 10
69.59399
.39263
25
.59403
26
.59406
.39466 .59856
.59626 .39469 .59860
.59630 .39473 .59864
9.59634
.39267 .59638
.39270 .59642
.394769.59868
.39480 .59872
.39484
27
.59410 .39274
.59646 .39487
+
79.59414
29
30
31
+
8' 19.59430
33
34
35
.39277 9.59649
.59418 .39281 .59653
.59422 .39285 .59657
.59426 .39288 .59661
.39292 9.59665
.59434 .39295 .59669
.59438 .39299 .59673
.59442 .39302 .59677 .39516 .59911
.59876
.59880
.39491 | 9.59883
.39494
.39498
.39665 .60074
.39668 .60078
.39672 .60082
.39676 9.60085
.39679
.39683 .60093
.39686 .60097
.39690 9.60101
.39693 .60105
.39697 .60109
.39700 .60113
.39878 .60306
.39882
.40092 | 43
.60310
.40096 42
.39886 .60314
.40099 41
.398899.60318
.40103 40
.60089
.39893 .60321
.40106 39
.39896 .60325
.40110 38
.39900
.60329
.40114 | 37
.39903
9.60333
40117 36
.39907
.60337
.40121 35
.39910 .60341
.40124 34
.39914
.60345
.40128 33
.39704 9.60116
.39918
9.60348
40131 | 32
.59887
.39708 .60120
.39921 .60352
.40135 31
.59891
.39711 .60124
.39925 .60356
.40139 30
.39501 .59895
.39715 .60128 .39928 .60360
.40142 29
.395059.59899
.39508 .59903
.39512 .59907
.39718 9.60132
.39722 .60136
.39725 .60140
.39729 .60144
.399329.60364
.40146 28
.39935 .60368
.40149 27

.39939 .60372
.39943 .60375
.4015326
.40156 25
+
9/9.59446
37
38
39
+10
.393209.59696
.39306 9.59681 .39519 | 9.59915
.59450 .39309 .59685 .39523 .59918
.59454 .39313 .59688 .39526 .59922
.59458 .39317 .59692 .39530 .59926
9.59461
.397329.60147
.399469.60379
.39736 .60151
.39739 .60155
.39743 .60159
.39950 .60383
.39953 .60387
.39957 .60391
.40160 24
.40163 23
.4017121
.395339.59930
.397469.60163
.399609.60395
41
42
43
.59465 .39324 .59700 .39537 .59934
.59469 .39327 .59704 .39540
.59473 .39331 .59708 .39544
.59938
.59942
+119.59477 .393349.59712 .39548
45
46
47
49
50
51
53
.59512
54
.59516 .39370
9.59946
.59481 .39338 .59716 .39551 .59950
.59485 .39341 .59720 .39555 .59953
.59489 .39345 .59724 .39558 .59957
+129.59493 .393489.59728 .39562 9.59961
.59497 .39352 .59731 .39565 .59965
.59501 .39356 .59735 .39569 .59969
.59505 .39359 .59739 .39572 .59973
139.59508 .39363 | 9.59743 .39576 9.59977
.39366 .59747
.59751
.39750 .60167
.39754 .60171
.39757 .60175 .39971
.39761 9.60178 .39975
.39765 .60182
'39768
.39964 .60399
.39967 .60402
.40167 22
.40174 20
.40178 19
.40181 18
.60406
9.60410
.40185 17
40188 16
.39978
.60414
.40192 | 15
.60186
.39982 .60418
.40196 14
.39772 .60190
.39985 .60422
.40199 13
.39775 | 9.60194
.39779 .60198
.399899.60426
.40203 12
.39992 .60429
.40206 11
.39782
.39786 .60206
.60202
.39996 .60433
.40000 .60437
.40210 10
.40213 9
55
.59520 .39373
.59755
.39789 | 9.60209
.39580 .59981 .39793 .60213
.39583 .59985 .39796 .60217
.39587 .59988 .39800 .60221
.400039.60441
.40007 .60445
.40010 .60449
.40014 .60452
57
58
59
.59536
.39388
.59770 .39601
+159.59540
.393919.59774
+149.59524 .393779.59759 .395909.59992 .39803 9.60225
.59528 .39380 .59763 .39594 .59996 .39807 .60229 .40021 .60460
.59532 .39384 .59767 .39597 .60000 .39811 .60233 .40024 .60464
.60004 .39814 .60236 .40028 .60468
.40032 | 9.60472
.40217 8
.40220
.40224
.40228
.400179.60456 .40231
.40235 3
.40238 2
.40242
7664&&
ry
5
.396049.60008
.39818 9.60240
.40245 0
18h 49m
18h 45m
18h 48m
18h 46m
18h 47m

TABLE IV.
[Page 107
Haversines.
5h 15m 78° 45'
5h 16m 79° 0'
5h 17m 79° 15'
5h 18m 79° 30'
5h 19m 79° 45′
S
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.s
2
Co do and o
0
9.60472
.402459.60702 .404609.60931
.406749.61160
.408889.61387
.41103 60
1
.60476 .40249
.60479 .40253
.60706
.60710
.40463
.40467
.60935
.40677
.61164
.40892
.61391
.41106 59
.60939
.40681
.61167
.40895
.61395
41110 58
3
.60483
.40256 .60714
.40470 .60943
.40685
.61171
.40899
.61399
.41114 57
+
19.60487
.40260 9.60717
.404749.60947
.40888 9.61175
.40903 9.61402
41117 56
567
.60491
.40263
.60721
.40477
.60951
.60495
.40267
.60725
.40481
.60954
.40695
.40692 .61179
.61183
.60499
.40270
.60729
.40485
.60958
.40699.61186
.40906
.40910
.40913
.61406
.4112454
.61410
.41121 55
.61414
.41128 53
+
2/19.60502
.402749.60733
.404889.60962
.407029.61190
.40917 9.61417
.41131 52
9
.60506
.40277
.60737
10
.60510
.40281
.60740
.40492 .60966
.40495
.40706 .61194
.40920
.61421
.41135 | 51
.60970
11
.60514
.40285
.60744 .40499
+
39.60518 .40288 9.60748
13
.60522
14
.60526
15
.60529
+
49.60533
179
.60537
.40306
18
.60541
.40310
19
.60545
.40313
.40502
.40292 .60752 .40506 .60981
.40295 .60756 .40510
.40299 .60760 .40513 .60989
.40303 9.60763 .40517 9.60992
.60767 .40520 .60996
.60771
.61000
.40524
.60775 .40527 .61004
.60973
9.60977
.40710
.40713 .61202
.61198
.40924
.61425
.41139 50
.40928
.61429
.41142 49
.40717 9.61205
.40931 9.61433
.41146 48
.40720
.61209
.40935
.61436
.41149 47
.60985
.40724
40938
.61213
.61440
.41153 46
.40727
.40942
.61217
.61444
.41156 45
.407319.61221
.409459.61448
.41160 44
.40735 .61224
.40949
.61451
.41164 43
.40738
.40742
.40953
.61228
.40956
.61232
.61455
.41167 42
.61459
.41171 41
+
5/
9.60549
.403179.60779
.407459.61236
.405319.61008
.40960 9.61463
.4117440
21
.60552
.40320
.60783
22.
.60556
.40324 .60786
.40535
.40538
.61012
.40749
.61240
.40963
.61467
.41178 39
.61015
'40752
.61243
.40967
.61470
.41182 38
23
.60560
+
6/9.60564
.40328 .60790
.40331 9.60794
.40542 .61019
.40756 .61247
.40970
.61474
.41185 87
.405459.61023
.40760 9.61251
.40974 | 9.61478
.41189 | 36
25
.60568
26
.60572
27
.60576
.40342 .60805
+
79.60579
.403459.60809
29
.60583
30
.60587
31
.60591
.40552 .61031
.40556 .61034
.40560 9.61038
.40349 .60813 .40563 .61042
.40352 .60817 .40567 .61046
.40356 .60821 .40570
.40335 .60798 .40549 .61027
.40338 .60802
.40763 .61255
.40767
.40981
.61258
.40770 .61262 .40985
.40978 .61482
.41192 35
.61485
.41196 34
.61489
.41199 33
.40774 9.61266
.409889.61493
.41203 32
.40777
.61270
.40992 .61497
.41207 31
.40781
.61274
.61050
.40785
.61277
.40996
.40999 .61504
.61500
.41210 30
.41214 | 29
+
8'
9.60595
.40360 9.60825
.40574
9.61053
.40788 9.61281
.410039.61508
.41217
28
33
.60599
.40363
.60828
.40577
.61057
.40792 .61285
.41006
.61512
.41221 27

34
.60602
.40367
.60832
.40581
.61061
35
.40370
.60606
+
9/19.60610
37
.60614
38
.61065
.40374 9.60840 .40588 9.61069
.40377 .60844 .40592 .61072
.60618 .40381 .60847
39
.60622 .40385 .60851
+10 9.60625
.60836 .40585
.40795 .61289
.40799 .61293
.41010
.61516
.41225 | 26
.41013
.61519
.41228 | 25
.408029.61296
410179.61523
.4123224
.40595 .61076
.40599 .61080
.40806 .61300
.40810 .61304
.40813 .61308
.41021 .61527
.41235 23
.41024 .61531
.41239 22
.403889.60855
.406029.61084
.408179.61312
41
.60629
42
.60633
43
.60637
11
9.60641
45
.60645
46
.60648
.40392 60859 .40606 .61088
.40395 .60863 .40610 .61091
.40399 .60867 .40613 .61095
.40402 9.60870
.40406 .60874
.40410 .60878 .40624
.40820 61315
.40824 .61319
.40827 .61323
.41028
.41031
.41035
.61534
.41242 21
9.61538
.41246 20
.61542
.41250 19
.41039 .61546
.41253 18
.41042 .61549
.41257 17
.406179.61099
.408319.61327
.40620 .61103
.61107
47
.60652
.40413 .60882
.40627 .61110
+12
9.60656
49
50
51
53
54
55
+14.9.60687
+139.60671 .40431 9.60901
.60675 .40434 .60905
.60679 .40438 .60909
.60683 .40442 .60912
.404459.60916
.406459.61129
57
58
59
159.60702
.40835 .61330
.40838 .61334
.40842 .61338
.40417 9.60886 .40631 9.61114 .40845 9.61342
.60660 .40420 .60890 .40$35 .61118 .40849 .61346
.60664 .40424 .60893 .40638 .61122 .40852 .61349
.60668 .40427 .60897 .40642 .61126 .40856 .61353
.40860 9.61357 .410749.61583 .41289 8
.40649 .61133 .40863 .61361 .41078 .61587 .41293
.40652 .61137 .40867 .61364 .41082 .61591 .41296
.40656 .61141 .40870 .61368 .41085 .61595 .41300
.40660 9.61145 .40874 9.61372 .41089 9.61598 .41303
.60691 .40449 .60920 .40663 .61148 .40878 .61376 .41092 .61602 .41307
.60694 .40452 .60924 .40667 .61152 .40881 .61380 .41096 .61606 .41310
.60698 .40456 .60928 .40670 .61156 .40885 .61383 .41099 .61610 .41314 1
.40460 9.60931 .406749.61160 .40888 9.61387 .41103 9.61614 .41318
.41046 | 9.61553
.41049
.41053
.41056 .61565
.41260 16
.61557
.61561
.41264 15
.41267
14
.41271 13
.410609.61568
.41275 12
.41063 .61572
.41278 11
.41067 .61576
.41071 .61580
.41282 10
.41285 9
7654324
0
18h 44m.
18h 40m
18h 43m
18h 41m
18h 42m

Page 108]
TABLE IV.
Haversines.
S
5h 20m 80° 0'
5h 21m 80° 15′
5h 22m 80° 30'
5h 23m 80° 45′
5h 24m 81° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
0
9.61614 .41318 9.61839
1
соло
2
3
+
662
5
7
+
9
10
2/9.61644
.61647
.61651
11
.61655
+ 3'
9.61659
13
.61662
14
.61666
.41364 .61888
.41368 .61891
15
.61670
.41371 .61895
+
49.61674 .41375 9.61899
17
.61677
18
.61681
19
.61685
.41386 .61910
.41533 9.62063 .41748 9.62287
.61617 .41321 .61843 .41536 .62067 .41751 .62290
.61621 .41325 .61846 .41540 .62071 .41755 .62294
.61625 .41328 .61850 .41543 .62074 .41758 .62298
1/9.61629 .41332 9.61854 .41547 9.62078 .41762 9.62301
.61632 .41335 .61858 .41550 .62082 .41766 .62305
.61636 .41339 .61861 .41554 .62086 .41769 .62309
.61640 .41343 .61865 .41558 .62089 .41773 .62313
.41346 9.61869 .41561 9.62093
.41350 .61873 .41565 .62097
.41353 .61876 .41568 62100 .41783 .62324
.41357 .61880 .41572 .62104 .41787 .62327
.41361 9.61884 .41576 9.62108 .41791 9.62331
.41579 .62112 .41794 .62335
.41583 .62115 .41798 .62338
.41586 .62119 .41801 .62342
.41590 9.62123
.41378 .61903 .41593 .62127
.41382 .61906 .41597 .62130
.41601
.41963 9.62509
.41966 .62513
.42178 60
.42182 59
.41970 .62516
.41974 .62520
.41977 9.62524
.42185 58
.42189 57
.42193 | 56
.41981 .62527
.4219655
.41984
.41988
.62531
.42200 54
.62535
.42203 53
.41776 9.62316
.41992 9.62538
.42207 52
.41780 .62320
.41995
.62542
.4221151
.41999
.62546
.42214 50
.42002 .62550
.42218 49
.420069.62553
.42221 48
.42010 .62557
.42225 47
.418059.62346
.62134
.41809 .62350
.41812 .62353
.41816 .62357
.42013
.42017
.42020 9.62568
.42024 .62572
.42027 .62575
.62561
.42229 46
.62564
.42232 45
.4223644
.42239 43
.42031 .62579
.4224342
.42247 41
+
5/9.61689
.41389 9.61914
.41604 9.62138
.41819 9.62361
.420359.62583
.42250 40
21
.61692
.41393 .61917
22
.61696
23
.61700
+
6/19.61704
25
.61708
26
.61711
27
.61715
.41396
.41400 .61925 .41615 .62149
.41404 9.61929 .41619 9.62153
.41407 .61932 .41622 .62156
.41411 .61936 .41626 .62,160
.41414 .61940 .41629 .62164
.41608 .62141
.61921 .41611 .62145
.41823
.41827
.62364
.62368
.41830 .62372
.42038 .62586
.42042 .62590
.42045 .62594
.4225439
.42257 38
.42261 37
.418349.62376
.420499.62598
.42264 36
.41837 .62379
.42053 .62601
.42268 35
.41841 .62383
.42056 .62605
.42272 34
.41844
.62387
.42060 .62609
.42275 33
+
79.61719
.41418 9.61944
.416339.62168
.41848
29
.61723
.41421
.61947 .41636 .62171
.41852
9.62390
.62394
.420639.62612
42279 | 32
30
.61726
31
.61730
.41425 .61951
.41429 .61955
.41640 .62175
.41644 .62179
.41855 .62398
.41859 .62402
.42067 .62616
.42071 .62620
.42074 .62623
.42282 31
.42286 30
+ 8'
9.61734
.414329.61959
.416479.62182
.418629.62405
.420789.62627
3.3
.61738
34
.61741
35
+ 9
37
38
39
+10
41
42
43
119.61779
45
.61783
46
47
.41436 .61962 .41651 .62186
.41439 .61966 .41654 .62190
.61745 .41443 .61970 .41658 .62194
9.61749 .41447 9.61974 .41662 9.62197
.61753 .41450 .61977 .41665 .62201
.61756 .41454 .61981 .41669 .62205
.61760 .41457 .61985 .41672 .62208
9.61764 .41461 9.61989
.61768 .41464 .61992
.61771 .41468 .61996
.61775 .41472 .62000
.41475 9.62003
.41479 .62007
.61786 .41482 .62011
.61790 .41486 .62015
.41866 .62409
.41870 .62413
.41873 .62416
.42081 .62631
.42085 .62634
.42089 .62638
.42290 29
.4229328
.42297 27
.42300 26

.42304 25
.418779.62420
.420929.62642
42308 24
.41880 .62424
.41884 .62427
.41888 .62431
.42096 .62646
.42099
.42311 | 23
.62649
42315 22
.42103
.62653
.42318 21
.416769.62212
.418919.62435
.42106
9.62657
.42322❘ 20
+129.61794 .41490 9.62018
49
50
51
53
54
55
+149.61824
57
58
59
+159.61839 .415339.62063
.41895 .62439 .42110
.62220 .41898 .62442
.62223 .41902 .62446
.41690 9.62227 .41905 9:62450
.41694 .62231 .41909 .62453
.41697 .62234 .41913 .62457
.41701 .62238 .41916 .62461
.41705 9.62242 .41920 9.62464
.61798 .41493 .62022 .41708 .62246 .41923 .62468
.61801 .41497 .62026 .41712 .62249 .41927 .62472
.61805 .41500 .62030 .41715 .62253 .41931 .62476
+ 13', 9.61809 .415049.62033 .41719 9.62257
.61813 .41507 .62037 .41722 .62261
.61816 .41511 .62041 .41726 .62264
.61820 .41515 .62045 .41730 .62268
.41518 9.62048 .41733 9.62272
.61828 .41522 .62052 .41737 .62275
.61831 .41525 .62056 .41740 .62279
.61835 .41529 .62059 .41744 .62283
.41748 9.62287
.41679 .62216
.62660
42326 19
.41683
.41687
.42114
.62664
.42329 | 18
.42117
.62668
.42333 | 17
.42121 9.62671
.42336 | 16
.42124 .62675
.42340 15
.42128 .62679
.42132 .62682
.42344 14
.42347 13
.421359.62686
.42351 12
.42139 .62690
.42142 .62693
.42354 11
.42358 10
.42146 .62697 .42361 9
.41934 9.62479 .42150 9.62701
.41938 .62483 .42153 .62704
.41941 .62487 .42157 .62708 .42372 6
.41945 .62490 .42160 .62712 .42376 5
.419499.62494 .42164 9.62716
.41952 .62498 .42168 .62719
.41956 .62501 .42171 .62723 .42387 2
.41959 .62505 .42175 .62727 .42390 1
.419639.62509 .42178 9.62730 .42394 0
.42365 8
.42369 7
.42379 4
.42383 3
18h 39m
18h 35m
18h 38m
18h 36m
18h 37m

TABLE IV.
[Page 109
S
Haversines.
5h 25m 81° 15′
5h 26m 81° 30' 5h 27m 81° 45′ 5h 28m 82° 0' 5h 29m 82° 15′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav Nat. Hav.
S
1
2
3
ܘ ܚ Co
0
9.62730
423949.62951
.426109.63170
+
1/19.62745
567
+
9
2/
10
.62734 .42397 .62954 .42613 .63174
.62738 .42401 .62958 .42617 .63177
.62741 .42405 .62962 .42620 .63181
42408 9.62965 .42624 9.63185
.62749 .42412 .62969 .42628 .63188
.62752 .42415 .62973 .42631 .63192
.62756 42419 .62976 .42635 .63196
9.62760 .42423 9.62980
.62763 42426 .62984
.62767 .42430 .62987
.428259.63389 .430419.63606
.42829 .63392 .43045 .63610
.42833 .63396 .43049 .63613
.42836 .63399 .43052 .63617
.42840 9.63403 .430569.63621
.42843 .63407
.42847 .63410 .43063
.42851 .63414
.43257
.4326159
.43265
.432685
57
60
58
43272 56
.43059 .63624
43275 55
.63628
.43279 | 54
.43067 .63631
.43283 53
.426389.63199
.428549.63418
.43070 9.63635
.43286 52
.42642 .63203
.42645
.63207
11
.62771
.42433 .62991
.42649
.63210
.42858 .63421
.42861 .63425
.42865 .63429
.43074 .63639
.43290 51
.43077
.43081 .63646
.63642
.43293 | 50
.43297 | 49
+
3/19.62774
.42437 9.62995
.42653
9.63214
.428699.63432
.430859.63649
.43301 48
18
.62778
42441 .62998
.42656
.63218
.42872 .63436
.43088 .63653
.43304 47
14
.62782
.42444 .63002
.42660
.63221
.42876 .63439
.43092
.63657
.43308 46
15
.62785
.42448 .63006
.42663 .63225
.42879 .63443
.43095
.63660
.43312 | 45
+
49.62789 .42451 9.63009
.426679.63228
.428839.63447
.43099 9.63664
.43315 44
17
.62793
.42455 .63013
.42671 .63232
.42887 .63450 .43103
.63668
.4331943
18
.62796
19
.62800
.42459 .63017
.42462 .63020
.42674
.42678
.63236
.42890 .63454
.43106
.63671
.43322 42
.63239
.42894 .63458
.43110
.63675
.43326 41
+
59.62804 .42466 9.63024 .42681 9.63243
.428979.63461
.43113
9.63678
.43330 | 40
21
.62808
.42469 .63028 .42685
.63247
.42901 |· .63465
.43117
.63682
.43333 | 39
22
.62811
.42473 .63031
.42689
.63250
.42905 .63468
.43121
.63686
.43337 38
23
.62815
.42477 .63035
.42692
.63254
.63472
+
6'
9.62819
.42480 9.63039
.42696 9.63258
25
.62822
.42484 .63042
26
.62826
277
.62830
.42491
+
79.62833
.42494
.42487 .63046
.63050
9.63063
29
.62837
.42498
.42699 .63261
.42703 .63265
.42707 .63269
.42710
.63057 .42714
9.63272
.42926
9.63490
.63276
.42930
.63494
.42908
.42912 9.63476
.42915 .63479
.42919 .63483 .43135
.42923 .63487 .43139
43142 9.63707
.43146
.43124
.63689
.43340 37
.43128 9.63693
.43344 36
.43131 .63696
43348 35
.63700
.43351 34
.63704
.43355 33
.43358 32
.63711
.43362 31
30
.62841
.42502 .63061
31
.62844
.42505 .63064
.42717 .63279
.42721 .63283
.42933
.63497
.43149 .63714
.43366 30
.42937
.63501
.43153 .63718
.4336929
+
8/19.62848
.427259.63287
33
.62852
34
.62855
35
.62859
+
9/9.62863
37
.62866
38
39
.62870
.62874
+ 109.62877
41
42
43
45
46
47.
.62896 .42556
.62899 .42559 .63119
.62903 .42563 .63123
.63115
+129.62907 .425669.63126
49
50
51
+13
53
54
55
.62910 .42570 .63130
.62914 42574 .63134
.62918 .42577 .63137
9.62921
.62925 .42584 .63145
.62929 .42588 .63148
.62932 .42592 .63152
149.62936 .42595 9.63156
.425819.63141
57
58
59
+159.62951
.42509 9.63068
42512 .63071 .42728 .63290
.42516 .63075 .42732 .63294
.42520 .63079 .42735
42523 9.63082 .42739 9.63301
.42527 .63086 .42743 .63305
.42530 .63090 .42746 .63309
.42534 .63093 .42750 .63312
.425389.63097 .42753 9.63316
.62881 .42541 .63101 .42757 .63320
.62885 .42545 .63104 .42761 .63323
.62888 .42548 .63108 .42764 .63327
+119.62892 .42552 9.63112 .42768 9.63330
.42771 .63334
.42775 .63338
.42779 .63341
.42782 | 9.63345
.42786 .63349 .43002 .63566 .43218 .63783
.42789 .63352 .43005 .63570 .43221 .63787
.42793 .63356 .43009 .63574 .43225
.427979.63360 .43013 9.63577 .43229 | 9.63794
.42800 .63363 .43016 .63581 .43232
.42804 .63367 .43020 .63584
.43236
.42807 .63370 .43023 .63588 .43239 .63805 .43456
.42811 | 9.63374
.432439.63808 .43459
.62940 .42599 .63159 .42815 .63378 .43031 .63595 .43247 .63812 .43463
.62943 .42602 .63163 .42818 .63381 .43034 .63599 .43250 .63815 .43466
.62947 .42606 .63166 .42822 .63385 .43038 .63602 .43254 .63819 .43470
.42610 9.63170 .428259.63389 .43041 9.63606 .43257 9.63823 .43474
42941 9.63505 .43157 9.63722
.42944 .63508 .43160 .63725
.42948 .63512 .43164
.43373 28
.43376 27

.63729
.43380 26
.63298 .42951 .63516 .43167 .63733
.43384 25
.42955 9.63519
.42959 .63523
.42962 .63526 .43178 .63743
.42966 .63530 .43182 .63747
.42969 9.63534 .43185 9.63751
.42973 .63537 .43189
.42977 .63541 .43193 .63758
.42980 .63545 .43196 .63761
.42984 9.63548 .43200 9.63765
.42987 .63552 .43203
.42991 .63555 .43207 .63772
.42995 .63559 .43211 .63776
.43171 9.63736
.43387 24
.43175 .63740
.43391 23
.43394 22
.43398 21
.43402 20
.63754
.43405 19
.43409 18
.43412 17
.43416 16
.63769
.43420 15
.43423 14
.43427 13
.429989.63563
.432149.63779
43430 12
.43434 11
.63790
.43438 10
.43441
9
.43445
.63797
.43448
.63801 .43452 6
.430279.63592
2
N∞ COA GOV∞∞
8
7
5
4
3
1
0
18h 34m
18h 30m
18h 33m
18h 31m
18h 32m

Page 110]
TABLE IV.
S
Haversines.
5h 30m 82° 30'
5h 32m 83° 0'
5h 33m 83° 15'
5h 31m 82° 45'
5h 34m 83° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav
.434749.64038 .43690 9.64253 .43907 9.64467
S
0723
9.63823
.441239.64679
.44340 60
1
+
.434889.64053
LO
5
.63841
.43492 .64056
6
.63844
.43495
.64060
ry
.63848
.43499 .64063
+
29.63851
.43503 9.64067
.63826 .43477 .64042 .43694 .64256 .43910 .64470
.63830 .43481 .64046 .43697 .64260 .43914 .64474
.63833 .43485 .64049 .43701 .64264 .43917 .64477
19.63837
.43704 9.64267 .43921 | 9.64481
.43708
.43925 .64484
.43928 .64488
.43932 .64492
.43935 9.64495
.43712
.64271
.64274
.44127 .64683
.44130 .64686
.44134 .64690
.44138 9.64694
.44141 .64697
.44343 59
.44347 58
.44351
57
.44354 56
.44358 | 55
.43715 .64278
.43719 9.64281
.44145 .64701
.44148 .64704
.44152 9.64708
.44362 54
.44365 53
44369 52
9
.63855
10
.63859
11
.63862
+
39.63866
13
.63869
14
.63873
15
.63877
.43506 .64071 .43723 .64285 .43939 .64499
.43510 .64074 .43726 .64289 .43943 .64502
.43513 .64078 .43730 .64292 .43946 .64506
.43517 9.64081 .43733 9.64296 .43950 9.64509
.43521 .64085 .43737 .64299
.43524 .64088 .43741 .64303
.43528 .64092 .43744 .64306
.44156 .64711
.44372! 51
.44159 .64715
.44376 50
.44163 .64718
.44380 49
.441669.64722
.44383 48
.43961
.43953 .64513
.43957 .64516
.64520
.44170 .64725
.44387 47
.44174 .64729
.44390 46
.44177 .64732 .44394 45
+
49.63880 .43531 9.64096
.437489.64310
.43964
9.64523
.44181 9.64736
.44398 44
17
.63884
18
.63887
19
.63891
.43535 .64099
.43539 .64102
.43542 .64106
+
5'9.63895
.43546 | 9.64110
21
.63898
.43549
22
.63902
.43553
23
.63905
.43557
.43751 .64314
.43755 .64317
.43759 .64321
.43762 9.64324
.64113 .43766 .64328
.64117 .43769 .64331
.64121 .43773 .64335
.43968
.64527
.44185
.64740
.44401 43
.43972 .64531
.44188
.64743
.44405 42
.43975 .64534
.44192
.64747
.44408 41

.43979 | 9.64538
.44195 9.64750
.44412 40
.43982 .64541
.44199
.64754
.44416 39
.43986 .64545
.44203
.64757
.44419 38
.43990
.64548
.44206 .64761
.44423 37
+ 8'
9.63909
.43560 9.64124
25
.63913
.43777 9.64339
.43564 .64128 .43780 .64342
.43993
9.64552
.44210 9.64764
.44427 | 36
.43997 .64555
.44213 .64768
.44430 35
26
.63916
.43567 .64131
.43784
.64346
.44000 .64559
.44217 .64771
.44434 34
27
.63920
.43571 .64135
.43787
.64349
+
79.63923
.43575 | 9.64139
.43791
9.64353
.44004
.44008 9.64566
.64563
.44221 .64775
.44437 | 33
.442249.64778
44441 32
29
.63927
.43578 .64142
.43795
.64356
.44011
.64570
.44228 .64782
.44445 31
30
.63931
.43582 .64146
.43798
.64360
.44015
.64573
.44231 .64785
.44448 30
31
+
8'
.63934
9.63938
.43585 .64149 .43802 .64363 .44018
.64577
.44235 .64789
.44452 29
33
•
+
34
35
•
9/9.63952
.43589 9.64153
63941 .43593 .64156
63945 .43596 .64160
.63949 .43600 .64164
.43805 9.64367
.44022 9.64580
.44239 9.64793
.44455 28
.43809 .64371
.44026 .64584
.44242 .64796
.44459 27
.43603 9.64167
37
38
39
+10
41
42
43
119.63981 .436329.64196
45
.63984
46
.63988
47
.63992
+129.63995
.436479.64210
49
.63999
50
51
.64002
.64006
139.64010
53
54
55
.43650 .64214 .43867 .64428
.43654 .64217 .43870 .64431
.43658 .64221 .43874 .64435
.43661 9.64224 .438789.64438
.64013 .43665 .64228
.64017 .43668 64231
.64020 .43672 .64235
.44029 .64587
.44033 .64591
.44036 9.64594
.63956 .43607 .64171 .43824 .64385 .44040
.63959 .43611 .64174 .43827 .64388 .44044 .64602
.63963 .43614 .64178 .43831 .64392 .44047 .64605
9.63966 .43618 9.64181 .438349.64396 .44051 9.64609
.63970 .43622 .64185 .43838 .64399 .44055 .64612
.63974 .43625 .64189 .43842 .64403 .44058 .64616
.63977 .43629 .64192 .43845 .64406 .44062 .64619
9.64410 .44065 9.64623
.43636 .64199 .43852 .64413 .44069 .64626
.43640 .64203 .43856 .64417 .44073 .64630
43643 .64206 .43860 .64420 .44076 .64633
.44080 9.64637
.44083 .64640
.44087 .64644
.44091 .64648
.43813 .64374
.43816 .64378
.44246 .64800
.44463 26
.44250 .64803
.44466 25
.438209.64381
.442539.64807
.44470 24
.64598
.44257 .64810
.44474 23
.44260 .64814
.44477 22
.44264
.44268 9.64821
.64817
.44481 21
44484 20
.44271 .64824
.44488 19
.44275 .64828
.44492 18
.44278 .64831
.44495 17
.43849
.442829.64835
44499 16
.44286 .64838
.44289
.44293 .64845
.44502 | 15
.64842
.44506 14
.44510 13
.438639.64424
+149.64024
57
58
59
.43881 .64442
.43885 .64445
.43888 .64449
.43676 9.64239
9.64452 .44109 9.64665
.64028 .43679 .64242 .43896 .64456 .44112 .64669
.64031 .43683 .64246 .43899 .64460 .44116 .64672
.64035 .43686 .64249 .43903 .64463 .44120 .64676
+159.64038 .43690 9.64253 .43907 9.64467 .44123 9.64679
.43892
.440949.64651
.44098 .64655
.44101 .64658
.44105.64662
.44296 | 9.64849
.44300 .64852
.44304 .64856 .44521 10
.44307 .64860 .44524 9
.443119.64863 .44528
.44315 .64867 .44531
.44318 .64870 .44535
.44322 .64874 .44539
.44325 9.64877 .44542
.44329 .64881 .44546
.44333 .64884 .44549 2
.44336 .64888 .44553 1
.44557
.44340 9.64891
.44513 12
.44517 11
8
76643Q7
5
0
18h 29m
18h 25m
18h 28m
18h 26m
18h 27m

TABLE IV.
[Page 111
S
5h 35m 83° 45'
Haversines.
5h 36m 84° 0' 5h 37m 84° 15′ 5h 38m 84° 30′ 5h 39m 84° 45′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
1
0723
.64902
9.64891 .44557 9.65102
.64895 .44560 .65106
.64898 .44564 .65109
.44568 .65113
.44774
9.65312
.45208
.44777 .65316 .44994 .65525 .45211
.44781 .65319 .44998
.449919.65521
9.65729
.45425 60
.65733
.45429 59
.65528
.45215 .65736
.45432 58
.44784 .65323 .45001 .65532
.45219 .65740
.45436 57
+
19.64905
.445719.65116
.44788
9.65326
.45005 9.65535
.452229.65743
.45439 56
LO
5
.64909
.44575 :65120
.44792
65330
.45009 .65539
.45226 .65747
.45443 55
•
6
.64912
.44578
.65123
'.44795
.65333
.45012 .65542
.45229
.65750
.45447 54
ry
.64916
.44582
.65127
.44799
.65337
.45016 .65546
.45233
.65754
.45450 53
+ 29.64919
9
.64923
10
11
+
39.64934
13
.64937
14
.64941
15
.64944
+ 4'
9.64948
17
.64951
.44618
.44586 9.65130 .44803 9.65340 .45020 9.65549
.44589 .65134 .44806 .65344 .45023 .65553
.64926 .44593 .65137 .44810 .65347 .45027 .65556
.64930 .44596 .65141 .44813 .65351 .45030 .65559
.44600 9.65144 .44817 9.65354
.44604 .65148 .44821 .65358
.44607 .65151 .44824 .65361
.44611 .65155 .44828 .65365
.44614 9.65158 .44831 9.65368
.65162
.452379.65757
.45454 52
.45240 .65761
.45458 51
.45244
.45248
.65764
.45461 50
.65767
.45465 49
.450349.65563
.452519.65771
.45468 48
.44835 .65372
.45038 .65566
.45041 .65570
.45045 .65573
.45048 9.65577
.45052 .65580
.45235 .65774
.45472 47
.45258 .65778
.45476 46
.45262
.65781
.45479 45
.45266
9.65785
.45483 44
.45269 .65788
.45486 43
18
.64955
.44622 .65165
.44839
.65375
.45056 .65584
.45273 .65792
.45490 42
19
.64958
.44625 .65169
.44842
.65378
.45059
.65587
.45276 .65795
.45494 41
+
5'9.64962
.446299.65172
.44846
9.65382
.45063
9.65591
.45280 9.65799
.45497 40
21
22
23
+ 6'
25
26
27
.64986
+ /
9.64990
.64965 .44633 .65176 .44850
.64969 .44636 .65179 .44853 .65389 .45070
.64972 .44640 .65183 .44857 .65392 .45074 .65601
9.64976 .44643 9.65186 .44860 9.65396 .45077 9.65605
.64979 .44647 .65190 .44864 .65399 .45081
.64983 .44651 .65193 .44868 .65403
.44654 .65197
.44658 9.65200
.65385
.45067
.65594
.45284
.65802
.45501 39
.65598
.45287 .65806
.45505 38
.45291 .65809
.4550837
.45295
.65608 .45298 .65816
9.65812
.45512 36

.45515 35
.44871 .65406
29
30
31
+ 8'
33
34
35
.64993 .44661 .65204
.64997 .44665 .65207
.65000 .44669 .65211
9.65004 .44672 9.65214
.65007 .44676 .65218
.65011 .44680 .65221
.65014 .44683 .65225
.44875 9.65410
.44878 .65413
.45085 .65612
.45088 .65615
.45092 | 9.65619
.45096 .65622
.45302 .65819
.45519 34
.45305 .65823
.45523 33
.44882 .65417
.44886 .65421
.45099 .65625
.45103 .65629 .45320 .65837
.45309 9.65826
.45313
.45316
.45526 32
.65830
.4553031
.65833
.45534 30
.45537 29
.44889 9.65424
.45106 9.65632 .45324
9.65840
.45541 28
+
9/9.65018
37
38
39
41
42
43
+11
45
46
47
.44897 .65431
.44900 .65434
.44687 9.65228 .44904 9.65438
.65021 .44690 .65232 .44907 .65441
.65025 .44694 .65235 .44911 .65445
.65028 .44698 .65239 .44915 .65448
+109.65032 .44701 9.65242 .44918 9.65452
.65035 .44705 .65246 .44922 .65455
.65039 .44708 .65249
.65043 .44712 .65253 .44929
9.65046 .44716 9.65256
.65050 .44719 .65260
.65053 .44723 .65263
.65057 .44727 .65267
49
50
51
.45110 .65636
.45114 .65639
.45117 .65643
.45121 9.65646
.45124 .65650
.45128 .65653
.45132 .65657 .45349 .65864
.45135 9.65660
.45139 .65664
.45143 .65667
.65462 .45146 .65671
.44933 9.65466 .45150 9.65674
.44936 .65469 .45153 .65677
.44940 .65473 .45157 .65681
.44944 .65476 .45161 .65684
.45164 9.65688
.65064 .44734 .65274 .44951 .65483 .45168 .65691
.65067 .44737 .65277 .44954 .65486 .45172 .65695
.65071 .44741 .65281 .44958 .65490 .45175 .65698
+139.65074 .44745 9.65284 .449629.65493 .45179 9.65702
+129.65060 .44730 9.65270
.449479.65480
.44893 .65427
.45327 .65844
.45544 27
.45331 .65847
.45334 .65850
.45338 9.65854
.45342 .65857
.45345 .65861
.45548 26
.45552 25
.45555 24
.45559 | 23
.4556322
.45566 21
.44925 .65459
.45353 9.65868
.45356 .65871
.45360 .65875
.45363 .65878
.45570 20
.45573 19
.45577
.45581 17
18
.453679.65881
.45584 16
.45371 .65885
.45588 15
.45374 .65888
.45378
.45381 9.65895
.45385 .65899
.45389 .65902
.45392 .65906
.45592 14
.65892
.45595 13
.45599 12
.45602 11
.45606 10
.45610 9
.453969.65909
53
54
55
.65078
.65081
.65085
+14' 9.65088
57
.65092
58
.65305
59
+ 15' 9.65102
.44748 .65288 .44965 .65497
.44752 .65291 .44969 .65500
.44755 .65295 .44973 .65504
.44759 9.65298 .44976 9.65507
.44763 .65302
.65095 .44766
.65099 .44770 .65309
.44774 9.65312
.44980 .65511
.45182 .65705
.45186 .65709
.45190 .65712
.45193 9.65716
.45197 .65719
.45400 .65913
.45403 .65916
.45407 .65919 .45624
.45410 9.65923
.45613
.45617
.45620
8
77
6
LO
5
.45628
4
.45414
.65926
.45631
$
.44983 .65514 .45200 .65722
.44987 .65518 .45204 .65726
.44991 9.65521 .45208 9.65729
.45418
.65930
.45635 2
.45421
.65933 .45639 1
.45425 9.65937 .45642 0
18h 24m
18h 20m
18h 23m
18h 21m
18h 22m

Page 112]
TABLE IV.
Haversines.
S
0
.456429.66143 .45860 9.66348
5h 40m 85° 0'
5h 42m 85° 30′ 5h 43m 85° 45′
5h 41m 85° 15′
5h 44m 86° 0'
Log. IIav. Nat. Iav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. s
9.65937
1
.65940 .45646
2
.65944
.45649
Co
3
.65947
.66146 .45863 .66352 .46081 .66556 .46298 .66760
.66150 .45867 .66355 .46084 .66560 .46302 .66763
.45653 .66153 .45870 .66359
.460779.66553 .462959.66757 .46512 60
.46516 59
.4651958
+
19.65950
456579.66157
.45874 9.66362
567
.65954
+
9
10
11
.45660 .66160 .45878 .66366
.65957 .45664 .66164 .45881 .66369
.65961 .45668 .66167 .45885 .66372
29.65964 .45671 9.66170 .45889 9.66376
.65968 .45675 .66174
.65971 .45678
.65975 .45682
.46088 .66563 .46305 .66767
.46092 9.66567
.46095 .66570
.46099 .66573
.46102 .66577
.46523 57
.463099.66770
.46527 56
.46313 .66774
.46530 55
.461069.66580
.46316
.46320
.46324 9.66784
.66777
.46534 54
.66780
.46538 53
.46541 52
.45892 .66379
.66177
.66181
+
39.65978 .45686 9.66184
13
.65981
.45689 .66188
14
.65985
.45693
.66191
15
.65988
.45697
.66194
+
49.65992 .45700
9.66198
.45896 .66383
.45899 .66386
.45903 9.66389
.45907 .66393
.45910 .66396
.45914
.45918 9.66403
.46110 .66584
.46113 .66587
.46117 .66590
.46327 .66787
.46545 | 51
.461219.66594
.46124 .66597
.46128.66601
.66400
17
.65995
.45704 .66201
.45921
.66407
18
.65999
.45707 .66205
.45925
19
.66002
.45711 .66208
.45928
+ 5
9.66006
.457159.66212
.45932 9.66417
21
.66009
.45718 .66215
.45936
.66420
22
.66012
.45722 .66218
.45939
.66424
23
.66016
.45726 .66222
.45943
.66427
.46131 .66604
.46135 9.66607
.46139
.66410 .46142 .66614
.66413 .46146 .66618
.46150 9.66621
.46153 .66624
.46157
.46161 .66631
.46331
.46334 .66794
.463389.66797
.46342 .66801
.46345 .66804
.46349 .66807
.66791
.46548 50
.46552 49
.46556| 48
.4655947
.46563 46
.46567 45
.46353 9.66811
.46570 44
.66611
.46356 .66814
.46574 43
.46360 .66818
.46577 42
.46363 .66821
.46581 41
.463679.66824
.46585 40
.46371 .66828
.46588 39
.66628
.46374 .66831
.46592 38
.46378 .66835
.46596 37
+
69.66019
.45729 9.66225 .45947 9.66430
.461649.66635
25
.66023
26
.66026
27
.66030
+
79.66033
29
.66037
30
.66040
31
.45733 .66229
.45736 .66232
.45740 .66236
.45744 9.66239
.45747 .66242
.45751 .66246
.45755 .66249
+ 8'
33
34
35
.45950
.45954 .66437
.45957 .66441
.45961 9.66444
.45965 .66447
.45968 .66451
.66043
.45972 .66454
9.66047 .457589.66253 .45976 9.66458
.66050
.66054
.66057
.66434
.46168 .66638
.46171 .66641
.46175 .66645
.46382 9.66838
.46385.66841
.46599 36
.46603 35
.46389 .66845
.46606 34
.46392 .66848
.46610 38
.461799.66648
.46396 9.66851
.46614 32
.46182 .66652
.46186
.46189
.46400
.66655 .46403
.66658
.66855
.46617 | 31
.66858
.46621 30
.46407 .66862
.46625 29
.46193 | 9.66662
.46411 9.66865
.46628 28
+
9/9.66061
37
38
39
+10
41.
42
43
.45762 .66256 .45979 .66461
.45765 .66260 .45983 .66464
.45769 .66263 .45986 .66468
.457739.66266 .45990 9.66471
.66064 .45776 .66270 .45994 .66475
.66067 .45780 .66273 .45997 .66478
.66071 .45783 .66277 .46001 .66482
9.66074 .45787 9.66280 .46005 9.66485
.66078 .45791 .66284 .46008 .66488
.66081 .45794 .66287 .46012 .66492
.66085 .45798 .66290 .46015 .66495
.46197
.66665
.46414
.66868
.46632 27

.46200
.66669
.46418 .66872
.46636 26
.46204 .66672
.46421
.66875
.46639 25
.462089.66675
.46425
9.66878
.46643 24
.46211 .66679 .46429 .66882
.46215 .66682 .46432 .66885
.46218 .66685
.46646 23
.46650 22
.46436 .66889
.46654 21
.462229.66689
+119.66088
.45802 9.66294
.460199.66499
.46226 .66692
.46229 .66696
.46233 .66699
.46237 9.66702
.46440 9.66892
.46443
.46447 .66899
.46657 20
.66895
.46661 19
.46665 18
.46451 .66902
.46668 17
.46454 | 9.66905
.46672 16
45
.66092 .45805
46
47
+12
.66095 .45809 .66301
.66098 .45812 .66304
.45816 9.66307
.66297 .46023 .66502 .46240 .66706
.46026 :66505 .46244 .66709
.46458 .66909
.46675 15
.46030 .66509
49
50
51
53
54
.66122
9.66102
.66105 .45820 .66311
.66109 .45823 .66314 .46041 .66519
.66112 .45827 .66318 .46044 .66522
139.66116 .45831 9.66321 .46048 9.66526
.66119 .45834 .66325 .46052
.45838 .66328 .46055
.460349.66512
.46037 .66516
.66529
.66533
55
.66126
.45841 .66331
.46059 .66536
.46247 .66713
.46251 9.66716
.46255 .66719
.46258 .66723
.46262 .66726
.46266 9.66730
.46269 .66733
.46273 .66736
.46276 .66740
.46461 .66912
.46465 .66916
.46469 9.66919
.46472
.46476
.46480 .66929
.4667914
.46683 13
.46686 12·
.66922
.66926
.46690 11
.46694 10
.46697 9
.464839.66932
+ 149.66129
.458459.66335 .46063 9.66539
.46280 9.66743
.46487 .66936
.46490 .66939
.46494.66943
.464989.66946
.46701
.46704
.46708
8
.46712 5
.46715 4
57
.66133
.45849
58
.66136
.45852
59
.66140 .45856
+15′ 9.66143
.460779.66553
.66338 .46066 .66543 .46284 .66747 .46501 .66949
.66342 .46070 .66546 .46287 .66750 .46505
66345 .46073 .66550 .46291 .66753 .46509
.45860 9.66348
.46512 | 9.66959
.46719 3
.66953
.46723 2
.66956
.46726 1
.46295 9.66757
.46730 0
18h 19m
18h 15m
18h 18m
18h 16m
18h 17m

TABLE IV.
[Page 113
Haversines.
5h 48m 87° 0' 5h 49m 87° 15′
5h 45m 86° 15'
5h 46m 86° 30'
S
Log. Hav. Nat. Hav.
Log. Hav. Nat. Hav.
5h 47m 86° 45′
Log. Hav. Nat. Hav.
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
0
9.66959
.46730 9.67161
.66963 .46733 .67165
.46948
9.67362
.47165
9.67562
.473839.67762
.47601 60
2
.66966
.66970
.46737 .67168
.46741 .67171
+
1' 19.66973
.46744
9.67175
5
.66976
.46748
.67178
6
.66980
.46752
.67181
ry
.66983 .46755 .67185
+29.66986 .467599.67188 .469779.67389
.46951
.46955 .67369
.46958 .67372
.46962 9.67376
.46966 .67379
.46969 .67382
.46973 .67386
.67366
.47169
.47173 .67569
.47176 .67572
.47180 9.67576
.47184 .67579
.47187 .67582
.47191 .67586
.67566
.47387 .67765
.4760559
.47390 .67768
.47608 58
.47394 .67772
.4761257
.473989.67775
.47616 56
.47401 .67778
.47405 .67782
.4761955
.47623 54
.47409 .67785
.47627 53
.471949.67589
.474129.67788
.47630 52
9
10
11
.66990 .46762 .67192 .46980 .67392 .47198 .67592
.66993 .46766 .67195 .46984 .67396 .47202 .67596
.66997 .46770 .67198 .46987 .67399 .47205 .67599
.47416 .67792
.47634 51
.47420
.67795
.47637 50
.47423
.67798
.47641 49
+
39.67000
.467739.67202 .469919.67402
13
.67003
14
•
15
+ 4'
17
18
19
.47209 || 9.67602
.46777 .67205 .46995 .67406 .47213 .67606
.67007 .46781 .67208 .46998 .67409 .47216
.67010 .46784 .67212 .47002 .67412
9.67013 .46788 9.67215 .470069.67416
.67017 .46792 .67218
.67020 .46795 .67222
.67023 .46799 .67225
.474279.67801
.47645 48
.47430
.67805
.47648 47
*
.67609
.47434
.67808
.47652 | 46
.47220 .67612
.47438 .67811
.47656 45
.472239.67616
.474419.67815
.47659 44
+
5'9.67027 .468029.67228
21
22
23
+ 6'
25
.67044
26
27
.67050 .46828 .67252 .47046
+
9.67054
29
80
31
+1
8'
33
34
.67074
35
.67077
.67449
.67452
.46831 9.67255 .47049 9.67456
.67057 .46835 .67259
.67060 .46839 .67262
.67064 .46842 .67265
9.67067 .46846 9.67269
.67071 .46850 .67272
.46853 .67275
.46857 .67279
.67030 .46806 .67232 .47024
.67034 .46810 .67235 .47027 .67436
.67037 .46813 .67238 47031 .67439
9.67040 .46817 9.67242 47035 9.67443
.46821 .67245
.67047 .46824 .67249
.47009 .67419 .47227 .67619
.47013 .67422 .47231 .67622
.47017 .67426 .47234 .67626
.47020 9.67429
.67432
.47445 .67818
.47663 43
.47449
.47452 .67825
.67821
.47666 42
.47670 41
.472389.67629 .474569.67828
.4767440
.47242 .67632
.47245 .67636
.47249 .67639
.47459 .67831
.47677 39
.47463 .67835
.47681 38
.47467 .67838
.47685 37
.472529.67642
.474709.67841
.47688 36
.47038
.67446 .47256 .67646
.47474 .67844
.4769235
.47042
.47260 .67649 .47478 .67848
.47263 .67652 .47481
.47267 9.67656 .47485 9.67854
.47696 34
.67851
.47699 33
.47703 | 32
.47053 .67459
.47271 .67659 .47489 .67858
.47706 31
+
9/9.67081
.46860 9.67282
3'7
38
39
+109.67094 .468759.67295
41
.67097
42
.67101
43
.67104
+119.67108
45
46
.67114
47
.67118
+12
49
50
51
9.67121
.67124 .46908 .67326
.67128 .46911 .67329
.67131 .46915 .67332 .47123 .67532
+13' 9.67134
.469049.67322
.47056 .67462
.47060 .67466
.47064 9.67469
.47067 .67472
.47071 .67476
.47075 .67479
.47078 9.67483
.67084 .46864 .67285 .47082 .67486
.67087 .46868 .67289 .47086 .67489
.67091 .46871 .67292 .47089 .67493
.47093 9.67496
.46879 .67299 .47096 .67499 .47314 .67699
.46882 .67302 .47100 .67503 .47318 .67702
.46886 .67305 .47104 .67506 .47321 .67705
.46890 9.67309 .47107 9.67509 .47325 9.67709 .47543 9.67907
.67111 .46893 .67312 .47111 .67512 .47329 .67712 .47547 .67911
.46897 .67315 .47115 .67516 .47332 .67715 .47550 .67914
.46900 .67319 .47118 .67519 .47336 .67719 .47554 .67917
.47122 9.67522 .47340 9.67722 .47558 9.67920
.47125 .67526
.47561 .67924
.47129 .67529
.47274 .67662
.47278 .67666
.47492 .67861
47710 80
.47496 .67864
.47714 29
.472829.67669
.47285 .67672
.47499 9.67868
.47503 .67871
.47717 28
.47721 27

.47289 .67675 .47507 .67874
.47725 26
.47292
.47296 9.67682
.47300 .67685
.47303 .67689
.47307 .67692
.67679 .47510 .67878
.47728 25
.47514 9.67881
.47518 .67884
.47521 .67887
.47525 .67891
.47732 24
.47735 23
.4773922
.4774321
.473119.67695
.475289.67894
47746 20
.47532 ..67897
.47750 19
.47536 .67901
.47754 18
.47539 .67904
.47757 17
.47761 16
.47765 15
.47768 14
.47772 | 13
.47775 12
.47343 .67725
47779 11
.47347 .67729
.47565 .67927
.47783 10
.47351 .67732
.47568 .67930
.47786 9
53
54
55
57
.67151 .46937 .67352
.47155 .67552
58
59
.67155 .46940 .67356
.67158 .46944 .67359
.47158
.47162
159.67161 .46948 9.67362
.47165
.46919 9.67336 .47136 9.67536 .473549.67735
.67138 .46922 .67339 .47140 .67539 .47358 .67738
.67141 .46926 .67342 .47144 .67542 .47361 .67742 .47579 .67940
.67145 .46929 .67346 .47147 .67546 .47365 .67745 .47583 .67944
149.67148 .46933 9.67349 .47151 9.67549 .47369 9.67748 .47587 9.67947
.47372 .67752 .47590
.67556 .47376 .67755 .47594 .67953
.67559 .47380 .67758 .47597 .67957
9.67562
.47572 9.67934
.47790 8
.47576 .67937
.47794 7
.47797 6
.47801 5
.47805 4
.67950
.47808 3.
.47812 2
.47815 1
.47383 9.67762
.476019.67960 .47819 0
18h 14m
18h 13m
18h 12m
18h 11m
18h 10m
1
63355°-17———————

Page 114]
TABLE IV.
Haversines.
5h 51m 87° 45′
S
5h 50m 87° 30'
5h 52m 88° 0
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
5h 53m 88° 15′ 5h 54m 88° 30'
0
Соловь
1
+
667
5
+
9
10
11
19.67973
9.67960 .47819 9.68158
.67963 .47823 .68161
.67967 .47826 .68164
.67970 .47830 .68167
.47834 9.68171
.67977 .47837 .68174
.67980 .47841 .68177
.67983 .47844 .68181
.47848 9.68184
.67990 .47852 .68187
.67993 .47855 .68190
.67996 .47859 .68194
29.67986
.48037 9.68354
.48041 .68358
.48044 .68361
.48477
.48480
.48048.68364
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
.48255 9.68550
.48259 .68553
.48262 .68557
.48266 .68560
S
.48473 | 9.68745
.48691 60
.68748
.48695 59
.68751
.48698 58
.48484 .68755
.48702 57
.48052 9.68367
.48055 .68371
.48059 .68374
.48062 .68377
.482699.68563
.48488 | 9.68758
.48706 56
.48273 .68566
.48277 .68570
.48491 .68761
.48709 55
.48495 .68764
.48713 54
.48280 .68573
.48499
.68768
.48717 58
.480669.68380
.482849.68576
.48502
9.68771
.48720 | 52
.48070 .68384
.48288 .68579
.48506
.68774
.48724 51
.48073
.68387
.48291
.68583
.48509
.68777
.48728 50
.48077
.68390
.48295
.68586
.48513 .68781
.48731 49
+
39.68000 .47863 9.68197
18
14
15
+
17
18
19
.68023
49.68013 .47877 9.68210
.68016 .47881 .68213
.68019 .47884 .68217
.47888 .68220
9.68393
.68003 .47866 .68200 .48084 .68397
.68006 .47870 .68204 .48088 .68400
.68010 .47874 .68207 .48092 .68403
.48095 | 9.68407
.48081
.48299 9.68589
.485171 9.68784
.48735 48
.48302 .68592
.48306 .68596
.48310 .68599
.48520
.68787
.48738 47
.48524
.68790
.48742 46
.48528 .68794
.48746 45
.483139.68602
.485319.68797
.48749 44
.48099
.48102
.68410
.68413
+ 5
5'
9.68026
.47892 9.68223
.48106 .68416
.48110 9.68420
.48317 .68605
.48320 .68609
.48324 .68612
.48535 .68800
.48753 43
.48538
.68803
.48757 42
.48542
.68806
.48760 41
.483289.68615
.48546 9.68810
.48764 40
21
.68029 .47895 .68227
.48113 .68423
.48331 .68618
.48549
.68813
.48767 39

22
.68033 .47899 .68230
.48117
.68426
.48335 .68622
.48553
.68816
.48771 38
23
.68036
.47903 .68233
.48121
.68429
.48339 .68625
.48557
.68820
.48775 87
+ 6'
9.68039
.47906 | 9.68236
.48124
9.68433
.48342 9.68628
.48560 9.68823
.48778 86
25
.68042
.47910 .68240
.48128
26
.68046
.47913 .68243
.48131
27
.68049
.47917 .68246
.48135 .68442
+
79.68052
.47921 9.68249
.481399.68446
29
.68056
80
.68059
31
.68062
.47924 .68253
.47928 .68256
.47932 .68259
.48142 .68449
+
89.68066
.479359.68263
$3
34
35
+
.68069 .47939 .68266
.68072 .47943 .68269
.68075 .47946 .68272
9/9.68079 .47950 9.68276
.48146
.48150
.48153 | 9.68459
.48157 .68462
.48161 .68465
.48164 .68469
.68452
.68456
.68436
.68439 .48350 .68635
.48353 .68638
.48357 9.68641
48360
.48364 .68648
.48368 .68651
.48346 .68631
.48564 .68826
.48782 85
.48568 .68829
.48786 84
.48571 .68832
.48789 33
.485759.68836
.48793 32
.68644
.48578 .68839
.48797 81
.48582
.68842
.48800 80
.48586 .68845
.48804 29
.481689.68472
.48371 9.68654
.48375 .68657
.48379 .68661
.48382 .68664
.483869.68667
.485899.68849
.48807 28
.48593 .68852
.48597
.48811 27
.68855
.48815 26
.48600 .68858
.48818 25
.486049.68862
.48822 24
ST
.68082
.47953 .68279
38
.68085
.47957 .68282
39
.68089
.47961 .68286
.48171 .68475
.48175 .68478
.48179 .68482
+109.68092
.47964 9.68289
.481829.68485
41
.68095
42
43
.68098
.68102
+119.68105
45
46
47
.68115
.47968 .68292 .48186 .68488
.47972 .68295 .48190 .68491
.47975 .68299 .48193 .68495
.47979 9.68302 .48197 9.68498
.68108 .47983 .68305
.47986
.68112
.68308
.47990 .68312
.48389 .68670 .48608 .68865
.48393 .68674 .48611
.48397 .68677 .48615
.48400 9.68680 .48618 9.68875
.48404 .68683 .48622
.48408 .68687 .48626
.48411 .68690
.48826 23
.68868
.48829 22
.68871
.48833 21
.48837 20
.68878
.48840 19
.68881
.48844 18
.48629 .68884
.48847 17
.48415
9.68693
.48633 9.68887
.48851 16
.48201 .68501
.48204 .68504 .48422
.48208 .68508 .48426
.48419
68696
.48637 .68891
.48855 15
.68700
.48640
.68894
.48858 14
+12
9.68118
.47993 9.68315
.482119.68511
49
.68121
.47997
.68318
50
.68125
51
.48001
.68128 .48004 .68325 .48222
.68322
.48215
.48219
.68514
.68517
+13' 9.68131
53
54
55
.48008 9.68328
.48012 .68331
68135
.48015 .68335
.68138
.68141 .48019 .68338
.68521
.48226 9.68524
+14' 9.68144
.480229.68341
57
58
59
.68148
.68151
.68154
+159.68158
.48230 .68527
.48233 .68531
.48237 .68534
.48241 9.68537
.48026
.48244
.68344
.68540
.48030 .68348 .48248 .68544
.48033
.48251 .68547
.68351
.48255 9.68550
.48037 9.68354
.68703
.48429 9.68706 .48648
.48433 .68709 .48651
.48437 .68713 .48655 .68907
.48440 .68716 .48658 .68910
9.68719
.68722
.48644
.68897
.48862 13
9.68900
.48866 12
.68904
.48869 11
.48873 10
.48877 9
.48444
.48880
.48448
.68917 .48884
.48451 .68726 .48669 .68920 .48887
.48455 .68729 .48673 .68923
48677 9.68926
.48459 9.68732
.48462 .68735 .48680
.48898
.68929
.48466 .68739 .48684 .68933 .48902
.48469 .68742 .46688
.48906
.68936
.48473 9.68745 .486919.68939 .48909
.486629.68913
.48666
.48891 5
.48895
8264 470
7
1
18h 9m
18h 5m
18h Sm
18h 6m
18h 7m

TABLE IV.
[Page 115
Haversines.
5h 55m 88° 45′
5h 56m 89° 0'
5h 57m 89° 15'
5h 58m 89° 30' 5h 59m 89° 45′
S
0
| IN Q
1
2
$
Log. Hav. Nat. Hav.
9.68939 .48909 9.69132
.68942 .48913 .69136
.68946 .48917 .69139
.68949 .48920 .69142
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
+
1/
9.68952
.489249.69145
667
5
+
29.68965
.68955 .48927 .69148
.68958 .48931 .69152
.68962 .48935 .69155
.48938 9.69158
.49127 9.69325 .49346 9.69516
.49131 .69328 .49349 .69520
.49135 .69331 .49353 .69523
.49138 .69334 .49356 .69526
.49142 9.69338 .49360 9.69529
.49146 .69341 .49364 .69532
.49149 .69344 .49367 .69535
.49153 .69347 .49371 .69539
.495649.69707
49782 60
.49567 .69710
.49785 59
.49571 .69713
.49789 58
.49575
.49578 9.69720
.49582
.49585 .69726
.69717
.49793 | 57
.49796 | 56
.69723
.49800 55
.49804 | 54
.49589 .69729
.49807 53
.49156 9.69350
.49375 9.69542
.495939.69732
.49811 52
9
10
11
.68968 .48942 .69161
.68971 .48946 .69164
.68975
.49160 .69354
.49378 .69545
.49596 .69736
.49815 | 51
.48949 .69168
+
39.68978
.48953 9.69171
13
.68981
14
.68984
15
.68988
+
49.68991
17
18
19
+ 5'
21
.69357
.49167 .69360
.49171 9.69363
.48957 .69174 .49175 .69366
.48960 .69177 .49178
.48964 .69181 .49182
.48967 9.69184 .49186 9.69376
.68994 .48971 .69187
.68997 .48975 .69190
.69000 .48978 .69193
9.69004 .48982 9.69197
.69007 .48986 .69200
.49164
.49382 .69548
.49386 .69551
.49389 9.69555
.49393 .69558
.49600
.69739
.49818 50
.49604 .69742
.49822 49
.496079.69745
.49825 48
.49611 .69748
.49829 47
.69370
.69373
.49396
.49400
.69561
.69564
.49615
.69751
.49833 46
.49618 .69755
.49836 45
22
23
.69010
.69013
.48989 .69203
.49404 9.69567
.49189 .69379 .49407 .69570
.49193 .69382 .49411 .69574
.49196 .69386 .49415 .69577
.49200 9.69389 .49418 9.69580
.49204 .69392 .49422 .69583
.49207 .69395 .49426 .69586
.496229.69758
.49840 44
.49625 .69761
.49844 43
.49629
.49633 .69767
.69764
.49847 42
.49851 | 41
.496369.69770
.49855 40
.49640 .69774
.49858 | 39
.49644
.69777
.49862 38
.48993 .69206
.49211 .69398
.49429 .69590
.49647
.69780
.49865 37
+
6' 9.69017
.489979.69209
.49215 | 9.69402
.49433 9.69593
.49651
9.69783
.49869 36
25
26
27
+
.69020 .49000 .69213 .49218 .69405
.69023 .49004
.69026 .49007
7/9.69029 .49011
.49436 .69596
.49655
.69786
.49873 35
29
.69033
30
.69036
.49018 .69229
.49236
81
.69039
.49022 .69232
.49240
+
8'
9.69042
33
34
85
.49036
.49026 9.69235
.69046 .49029 .69238
.69049 .49033
.69052
.49244
.69216 .49222 .69408 .49440 .69599
.69219 .49226 .69411 .49444 .69602 .49662 .69793
9.69222 .49229 9.69414 .49447 9.69605 .49665 9.69796
.49015 .69225 .49233 .69417 .49451 .69609 .49669 .69799
.69421 .49455 .69612
.69424 .49458 .69615
9.69427 .49462 9.69618
.49658
.69789
.49876 34
.49880 | 33
.49884 32
.49887 31
.49673
.49676 .69805
.69802
.49891 30
.49895 | 29
.49680 9.69808
.49898 28
.49247 .69430
.49465 .69621
.49684 .69812
.49902 | 27

.69242
.69245
+
9/19.69055
.49040
9.69248
87
.69058
.49044
38
.69062
39
.69065
+10
.69251
.49047 .69254
.49051 .69258
9.69068 .49055 9.69261 .49273 9.69453
.49251. .69433
.49255 .69437
.49258 9.69440
.49262 .69443
.49266 .69446
.49269 .69449
.49469 .69625
.49473 .69628
.49687 .69815
.49905 26
.49691 .69818
.49909 | 25
.494769.69631
.496959.69821
.49913 24
.49480 .69634
.49484 .69637
.49487 .69640
.494919.69644
41
.69071 .49058 .69264
.49276 .69456
42
43
.69074 .49062 .69267
.69078 .49066 .69270
+119.69081
45
46
47
+12
9.69094
.49084 9.69286
49
.69097
.49087 .69290
50
51
.69100 .49091 .69293
.69103 .49095 .69296
+139.69107 .49098 9.69299
53
54
55
.69110 .49102 .69302
.69113 .49106 .69306
.69116 .49109 .69309
57
58
59
+159.69132
.69123 .49116 .69315 .49335 .69507
.69126 .49120 .69318 .49338 .69510
.69129 .49124 .69322 .49342 .69513
.49127 9.69325 .49346 9.69516
.49280 .69459
.49284 .69462 .49502 .69653
.49069 9.69274 .49287 9.69465 .49506 9.69656
.69084 .49073 .69277 .49291 .69469 .49509 .69659
.69087 .49076 .69280 .49295 .69472 .49513 .69663
.69091 .49080 .69283 .49298 .69475 .49516 .69666
.49302 9.69478
.49306 .69481 .49524 .69672 .49742 .69862
.49309 .69484 .49527 .69675 .49745 .69865
.49313 .69488 .49531 .69678 .49749 .69869
.49316 9.69491 .49535 9.69682 .49753 9.69872
.49320 .69494 .49538 .69685 .49756 .69875 .49975
.49324 .69497 .49542 .69688 .49760 .69878 .49978 6
.49327 .69500 .49545 .69691 .49764 .69881 .49982
+14' 9.69120 .491139.69312 .49331 9.69504 .495499.69694 .49767 9.69884 .49985
.49553 .69698 .49771 .69888
.49556 .69701 .49775 .69891
.49560 .69704 .49778 .69894
.49564 9.69707 .497829.69897
.49495 .69647
.49498 .69650
.49698 .69824
.49702 .69827
.49705
.49709 9.69834
.49713 .69837
.49916 28
.49920 | 22
.69831
.49924 21
.49927 20
.49931 19
.49716 .69840
.49935 18
.49720 .69843
.49938 17
.497249.69846
.49942 16
.49727 .69850
.49945 15
.49731
.69853
.49949 14
.49735 .69856
.49953 18
.495209.69669
.497389.69859
.49956 | 12
.49960 11
.49964 10
.49967 9
.49971
4
.49989
COAG 928
7
5
.49993
.49997 1
.50000 0
18h 4m
18h Om
18h sm
18h 1m
18h 2m

Page 116]
TABLE IV.
Haversines.
6h 0m 90° 0′
6h 1m 90° 15'
6h 2m 90° 30'
6h 3m 90° 45'
6h 4m 91° 0
S
0
1
2
3
.50000 9.70086
.69900 .50004 .70089
.69903 .50007 .70092
.69906 .50011 .70096
.502189.70274
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
9.69897
.506549.70648
Q
.50436 | 9.70462
.50222 .70277
.50225 .70281
.50229
.70284
.50440 .70465
.50444 .70468
.50447 .70471
.5087360
.50658 .70652 .50876 59
.50662 .70655
.50880 58
.50665 .70658
.50884 57
+
19.69910
.500159.70099
.50233
9.70287
.504519.70474 .506699.70661
.50887 156
560
.69913
.50018 .70102
.50236
.70290
.69916
.50022
.70105
.50240
.70293
.69919
.50025
.70108
.50244
.70296
.50455 .70477
.50458 .70480
.50462 .70484
.50673
.70664
.50891 55
.50676
.70667
.50894 | 54
.50680 .70670
.50898 53
+
2/19.69922
.50029 9.70111
.50247 9.70299
.504659.70487
.506849.70673
.50902 52
9
10
11
+
13
14
15
+
.69925 .50033 .70114 .50251 .70303
.69929 .50036 .70118 .50255 .70306
.69932 .50040 .70121 .50258 .70309
39.69935 .50044 9.70124 .50262 9.70312
.69938 .50047 .70127 .50265 .70315
.69941 .50051 .70130 .50269 .70318
.69944 .50055 .70133 .50273 .70321
49.69948 .50058 9.70136
.50469 .70490
.50473 .70493
.50476 .70496
.50480 9.70499
.50687 .70676
.50905 51
.50484 .70502
.50487 .70505
.50491 .70509
.50691 .70679
.50694 .70683
.50698 9.70686
.50702 .70689
.50705 .70692
.50709 .70695
.50909 | 50
.5091349
.502769.70324
17
.69951
18
.69954
19
.69957
.50062 .70140
.50065 .70143
.50069 .70146
.50280 .70328
.50284 .70331
.50287 .70334
.50495 9.70512
.50498 .70515
.50502 70518
.50505 .70521
.507139.70698
.50716 .70701
.50720 .70704
.50724 .70707
.50916 48
.50920 47
.5092446
.50927 45
.5093144
.50934 43
.50938 42
.5094241

+
59.69960 .500739.70149
.502919.70337
.505099.70524
21
.69963
.50076 .70152
22
.69966
.50080
.70155
23
.69970
.50084
.70158
.50295 .70340
.50298 .70343
.50302 .70346
+
€ 19.69973
.50087 9.70161
.503059.70349
25
.69976
..50091
26
.69979
.50095
.70168
27
.69982
.50098
.70171
.70165 .50309 .70353
.50313 .70356
.50316 .70359
.50513 .70527
.50516 .70530
.50520 .70533
.50524 9.70537
.50527 .70540
.50531
.50534 .70546
.507279.70710
.50731 .70714
.50945 40
.50949 39
.50734 .70717
.50953 38
.50738 .70720
.50956 37
.507429.70723
.50960 36
.50745 .70726
.50964 35
.70543
.50749 .70729
.50967 34
.50753 .70732
.50971! 33
+
7/19.69985 .50102
9.70174
.503209.70362
.505389.70549
29
.69988
30
.69992
31
.69995
.50105 .701.77
.50109 .70180
.50113 .70183
+
8/19.69998
.501169.70187
33
.70001
34
35
.70004
.70007
.50331
.50335 9.70374 .505539.70561
.50120 .70190 .50338 .70378 .50556 .70565
.50124 .70193 .50342 .70381 .50560 .70568
.50127 .70196 .50345 .70384 .50564 .70571
.50324 .70365
.50327 .70368 .50545 .70555 .50764 .70741
.70371 .50549 .70558 .50767 .70745
.50542 .70552
.50756 9.70735
.50760 .70738
.50974 | 32
.50978 31
.50982 | 30
.50985 29
.50771 9.70748
.50989 28
.50774 .70751
.50993 27
.50778 .70754
.50996 26
.50782 .70757
.5100025
+
9/19.70011 .501319.70199
.503499.70387
.505679.70574 .507859.70760
.51004 24
37
38
39
.70014
.70017
.70020
.50135 .70202 .50353 .70390
.50138 .70205 .50356 .70393
.50142 .70209 .50360 .70396
.50571 .70577
.50574
.50578 .70583
.50789 .70763
.51007 23
.70580
.50793 .70766
.51011 22
.50796 .70769
.51014 21
+109.70023
.501459.70212
.503649.70399 .505829.70586
.50800 9.70772
.51018 20
41
42
43
+ 119.70036
45
.70039
46
47
.50171
.70045
.70026
.50149 .70215 .50367 .70402
.70029 .50153 .70218 .50371 .70406
.50156
.70033
.70221 .50375 .70409
.50160 | 9.70224 .50378 | 9.70412
.50164
.50382 .70415
.50167
.70042
.50385 .70418
.50389 .70421
.50585 .70589
.50804 .70775
.51022 19
.50589 .70593
.50807 .70779
.51025 18
.50593 .70596
.50811 .70782
.51029 17
.505969.70599 .50814 9.70785
.51033 16
.70227
.70230
.70234
.50600 .70602
.50604 .70605
.50607
.50818 .70788
.51036 15
.50822 .70791
.51040 14
.70608
.50825
.70794
.51043 13
+129.70048
.501759.70237
503939.70424
.506119.70611
.50829
9.70797
.51047 12
49
.70051 .50178 .70240
50
.70055
51
.70058
.50182
.50185
.70243
.70246
.50396 .70427
.50400 .70431
.50404 .70434
+139.70061
.50189 | 9.70249
.504079.70437
53
.70064
.50193
.70252
54
.70067
.50196
.70256
.50415
55
.70070
.50200 .70259
.50418
149.70074
.502049.70262
.504229.70449
57
.70077
.50207 .70265
.50425
.70452
58
.70080
59
.70083
.50211
.50215 .70271
.70268 .50429
.70456
.50644
.50647
.50433
.70459 .50651
+15' 9.70086
.50218 9.70274
.50436
9.70462
.506549.70648
.50614 .70614 .50833 .70800
.50618 .70617 .50836 .70803
.50622
.50840
.70620
.70806
.50625 9.70624 .50844 9.70809
.50411 .70440
.50847
.50629
.70813
.70627
.51065
.70443 .50633 .70630 .50851
.51069
.70816
.70446 .50636 .70633 .50854 .70819 .51073
.50640 9.70636
.70639
.70642 .50865 .70828
.50869
.70645
.70831
.50873 9.70834 .51091
.51051 11
.51054 10
.51058
9
.51062
8
6
5
.508589.70822
.51076
4
.50862 .70825
.51080 3
.51083 2
.51087
0
17h 59m
17h 55m
17h 58m
17h 56m
17h 57m

TABLE IV.
[Page 117
Haversines.
6h 5m 91° 15'
6h 6m 91° 30'
6h 7m 91° 45'
6h 8m 92° 0/
6h 9m 92° 15'
S
Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. IIav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
0
1
2
9.70834 .51091 9.71019
.70837 .51094 .71022
.70840 .51098 .71025
.51309
.51312
9.71203
.51527 9.71387
.71206
.51531 .71390
.51316 .71210
.51534 .71393
.51745 9.71569 .51963 60
.51749 .71572 .51967 | 59
.51752 .71575
.51970 58
3
.70843
.51102 .71028
.51320 .71213
.51538 .71396
.51756 .71579
.51974 57
+
1/
667
5
9.70847 .51105 9.71032
.70850 .51109 .71035
.70853 .51.113
.513239.71216
.51541 9.71399
.51760 9.71582
.51978 56
.70856 .51116
+
29.70859
.71038
.71041
.51120 9.71044
.51327 .71219
.51331 .71222
.51334 .71225
.71405
.71408
.513389.71228
.51545 .71402 .51763 .71585
.51549
.51552
.51556 9.71411
.51981 55
.51767 .71588
.51985 || 54
.51770 .71591
.51988 53
9
.70862
.51123 .71047
10
.70865
11
.70868
.51127 .71050
.51131 .71053
+
39.70871 .511349.71056
.513529.71240
13
.70874
14
.70877
15
.70881
.51138 .71059
.51142
.51145 .71065
.51356 .71243
.51342 .71231 .51560 .71414
.51345 .71234 .51563 .71417
.51349 .71237 .51567 .71420 .51785 .71603
.51571 9.71423 .51789 9.71606
.51574 .71426 .51792
.51774 9.71594
.51778
.51781 .71600
.51992 52
.71597
.51996 51
.51999 50
.52003 49
.52007 48
.71609
.52010 47
.71062
.51360 .71246
.51578
.71430
.51796
.71612
.52014 | 46
.51363 .71249
.51581
.71433
.51799 .71615
.52018 45
+
49.70884
.511499.71068
.513679.71252
.51585
9.71436
.51803 9.71618
.52021 44
17
.70887
18
19
.70890
.70893
+
59.70896 .511639.71081
21
22
23
+
6'
25
26
27
.51153 .71072
.51156 .71075 .51374 .71259 .51592
.51160 .71078 .51378 .71262 .51596
.51382 9.71265 .51600 9.71448
.70899 .51167 .71084 .51385 .71268 .51603 .71451
.70902 .51171 .71087 .51389 .71271 .51607 .71454
.70905 .51174 .71090 .51392
9.70908 .51178 9.71093 .51396
.70911 .51182 .71096 .51400 .71280
.70914 .51185 .71099 .51403 .71283
.70918 .51189 .71102 .51407 .71286
.51371 .71255
.51589
.71439
.51807 .71621
.52025 43
.71442
.51810 .71624
.52028 42
.71445
.51814 .71627
.52032 41
.518189.71630
.52036 40
.51821 .71633
.52039 39
.51825
.71636
.52043 38
.71274
9.71277
.51611 .71457
.51829
.71639
.52047 37
.516149.71460
.51832
9.71642
.52050 36
.51618 .71463
.51836
.71645
.52054 35
+
/9.70921
.511939.71105
29
.70924
30
.70927
31
.70930
+
89.70933
33
.70936
.51196 .71108
.51200 .71111
.51203 .71114
.51207 9.71118
.51211 .71121
.514259.71301
34
.70939
35
.51214 .71124
.70942 .51218 .71127
+
9/9.70945
.51222 | 9:71130
.51440
.516589.71496
.51621 .71466
.51625 .71469
.514119.71289 .51629 9.71472
.51414 .71292 .51632 .71475 .51850 .71657
.51418 .71295 .51636 .71478 .51854 .71660
.51422 .71298 .51640 .71481 .51858 .71663
.51643 9.71484 .51861 9.71666
.51429 .71304 .51647 .71487 .51865 .71670
.51432 .71307 .51650 .71490 .51869 .71673
.51436 .71311 .51654 .71493 .51872 .71676
9.71314
.51839 .71648
.52057 34
.51843 .71651
.52061 33
.518479.71654
.52065 32
.52068 | 31
.52072 30
.52076 29
.52079 28
.52083 27.

.52087 26
.52090 25
.51876 9.71679
.52094 24.
37
.70948.51225 .71133
.51443
.71317
.51661 .71500
.51879 .71682
.52097 23.
38
.70951 .51229 .71136 .51447
39
.70955
.51233 .71139 .51451
+10
9.70958
.51236 9.71142
.51454
41
.51458
42
43
+119.70970 .51251
45
46
47
+12
49
50
.70988
51
.70992
.71320 .51665 .71503 .51883
.71323 .51669 .71506 .51887
9.71326 .51672 9.71509 .51890
.70961 .51240 .71145
.71329 .51676 .71512 .51894
.70964 .51243 .71148 .51462 .71332 .51680 .71515 .51898
.70967 .51247 .71151 .51465 .71335 .51683 .71518 .51901
9.71154 .51469 9.71338 .51687 9.71521
.70973 .51254 .71157 .51472 .71341 .51690 .71524
.70976 .51258 .71161 .51476 .71344 .51694 .71527
.70979 .51262 .71164 .51480 .71347 .51698 .71530
9.70982 .51265 9.71167 .51483 9.71350 .517019.71533
.70985 .51269 .71170 .51487 .71353
.51273 .71173 .51491 .71356
.51276 .71176 .51494
.71685
.52101 22.
.71688
.52105 21
9.71691
52108 20
.71694
.52112 19
.71697
.52116 18
.71700
.5211917)
واژه
.71359
13
9.70995
53
54
55
+149.71007
57
.71010
58
.71013
59
.71016
+159.71019
.51705 .71536
.51709 .71539
.51712 .71542
.512809.71179 .51498 9.71362 .51716 9.71545
.52152
.70998 .51283 .71182 .51501 .71365 .51720 .71548
.52156 7
.71001 .51287 .71185 .51505 .71369 .51723 .71551
.52159 6
.71004 .51291 .71188 .51508 .71372 .51727 .71554 .51945.71736 .52163 5
.51294 9.71191 .51512 9.71375 .51730 9.71557 .51948 9.71739 .52166
.51298 .71194 .51516 .71378 .51734 .71560 .51952 .71742 .52170
.51302
Ꮽ
.71197 .51520 .71381 .51738 .71563 .51956 .71745 .52174 2
.51305 .71200 .51523 .71384 .51741 .71566 .51959 .71748 .52177 1
.51309 9.71203 .51527 9.71387 .51745 9.71569 .51963 9.71751 .52181 0
از
.51905 9.71703 .52123 16.
.51908 .71706
.51912 .71709
.51916 .71712
4
.519199.71715
.51923.71718
.51927 71721
.51930 ¹.71724
.51934 | 9.71727
.51938 .71730
.51941 .71733
.52137 12
.52141 11:
.52145 10.
.521489
.52126 15
.52130 14
.5213413
8
4
17h 54m
17h 50m
17h 53m
17h 51m
17h 52m

Page 118]
TABLE IV.
Haversines.
S
0
9.71751
.52181 | 9.71932
.52399 9.72112
6h 10m 92° 30'
6h 11m 92° 45′
6h 12m 93° 0'
6h 13m 93° 15′
6h 14m 93° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav.
.526179.72292 .528359.72471
12
S
1
.71754 .52185
.71935
.52403 .72115
.52620 .72295
.52838 .72474
.53052
.53056 59
60
2
.71757
.52188
.71938
.52406 .72118
.52624 .72298
.52842 .72476
.53060 58
3
.71760
.52192
.71941
.52410 .72121
.52628 .72301
.52846 .72479
.53063 57
+
19.71763
5
.71766
.52199
6
.71769
.52203
7
.71772
.52206
+
29.71775
.52210 | 9.71956
9
.71778
.52214 .71959
10
.71781
.52217
11
.71784
.52221
.71962
.71965
.52196 | 9.71944 .52413 9.72124
.71947 .52417 .72127
.71950 .52421 .72130
.71953 .52424 .72133
.52428 9.72136
.52432 .72139
.52435 .72142
.52439 72145
.526319.72304
.52849 9.72482
.53067 56
.52635 .72307
.52639 .72310
.52642 .72313
.52853
.52856
.72485
.72488
.53071 55
.5307454
.52860 .72491
.53078 53
.526469.72316
.528649.72494
.53081 52
+
39.71787
.52225 9.71968
.524429.72148
13
.52228
.71791
14
15
.71794
.71797
.71971
.52232 .71974
.52235 .71977
+
4'
9.71800
.522399.71980
17
.71803
18
.71806
.52243 .71983
.52246
19
.71809
.52250
+
5'
9.71812
21
.71815
.52257
22
.71818
.52261
23
.71821
.52264
.52446 .72151
.52450 .72154
.52453 .72157
.52457 9.72160
.52461 .72163
.71986 .52464 .72166
.71989 .52468 .72169
.52254 9 71992 .52472 9.72172
.71995 .52475
.71998 .52479
.72001 .52482
.52649 .72319
.52653 .72322
.52657 .72325
.52660 9.72328
.52664 .72331
.52668 .72334
.52671 .72337
.52675 9.72340
.52679 .72343
.52682 .72346
.52686 .72349
.52689 9.72352
.52867 .72497
.53085 | 51
.52871 .72500
.53089 | 50
.52875 .72503
.52878 9.72506
.52882 .72509
.53092 49
.53096 48
.53100 47
.52885 .72512
.52889 .72515
.53103 46
.53107 45
.52893 9.72518
.53110 | 44
.52896 .72521
.53114 43
.52900
.72524
.53118 42
.52904
.72527 .53121 41
.52907 9.72530
.5312540
+ 6'
9.71824
.52268 9.72004
25
.71827 .52272
.72007
.52490.72187
26
.71830 .52275
27
.71833
.52279
.72010
.72013
.52493 .72190
.52497.72193
+
9.71836
.52283 9.72016
.525019.72196
.72175 .52693 72354
.72178 .52697 .72357
.72181 .52700 .72360 .52918
.52486 9.72184 .52704 9.72363 .52922 9.72542
.52708 .72366 .52925
.52711 .72369 .52929 .72548
.52715 .72372
.72551
.52933
.52718 9.72375 .52936 9.72554
.52911 .72533
.53129 39
•
.52915 .72536
.53132 38
.72539
.53136 37
.53140 36
.72545
.53143 35
.53147 34
.53150 33
.53154 32
29
30
31
+
8'
9.71848
33
.71851
34
.71854
.71839
.72019
.52286
.52504 .72199
.71842 .52290 .72022 .52508 .72202
.71845 .52294
.52511
.72025
.72205
.52297 9.72028 .52515
.52301
.72034
.52304
.52722 .72378
.52940
.72557
.53158 31
.52726
.72381
.52944
.72560
.53161 30
.52729
.72384
.52947
.72563
.53165 29
9.72208
.52733 9.72387
.52951 9.72565
.53169 28
.72031
.52519
.72211
.52737 .72390
.52954
.72568
.53172 | 27
.52522
.72214
.52740 .72393
.52958
.72571
.53176 | 26

35
.52308
.71857
.72037
.52526
.72217
.52744
.72396 .52962 .72574
.53179 25
+
9/9.71860
.523129.72040 .52530
9.72220
.52748 9.72399
.52965 9.72577
.53183 24
37
.52315
.71863
38
.52319
39
.72043 .52533
.72046
.71866
.71869 .52323 .72049
.52751
.72223
.52537 72226
.52541 .72229
.72402
.52969
.72580
.53187 23
.52755
.72405
.52973
.72583
.5319022
.52758
.72408
.52976
.72586
.53194 21
+10
9.71872
.52326 9.72052
.52544
9.72232
.52762 9.72411
.52980 9.72589
.53198 20
41
.71875
.52330
.72055
.52548
.72235
.52766 .72414
42
.71878
.52334
43
.71881
.52551
.72058
.52337 .72061 .52555
.72238
.72241
.52769 .72417
.52773
.52983
.52987
.72420 .52991 .72598
.72592
.53201 19
.72595
.53205 18
.53208 | 17
+11
9.71884 .52341 9.72064
.52559 9.72244
.52776 9.72423
.52994 9.72601
.53212 | 16
45
.71887
.52344
.72067
.52562
.72247
.52780
.72426
.52998
.72604
.53216 15
46
.71890
.52348
.72070
.52566
.72250
.52784
.72429
.53002
.72607
.53219 14
47
.71893 .52352 .72073
.52570
.72253
.52787
.72432
.53005 .72610
.53223 13
+12
9.71896
.52355 9.72076
.52573
9.72256
.52791 9.72435
.53009 9.72613
53227 12
49
.71899
.52359
.72079
.52577
.72259
.52795
.72438
.53013
.72616
.53230 11
50
.71902
.52363
.72082
.52580
.72262
.52798
.72441
.53016
.72619
.53234 10
51
.71905
.52366
.72085
.52584
.72265
.52802 .72444
.53020
.72622
.53238
9
+139.71908
53
.71911
54
.71914
.52370 9.72088
.72091
.52373
.72094
.52377
.52588 9.72268
.52806 9.72447
.52591 .72271
.52809
.72450
.53023 9.72625
.53027
.53241 8
.72628
.53245
7
.52595 .72274
.52813
.72453
55
.71917
.52381
.72097
.52599 .72277
.52816
.72456
14'
9.71920
.52384
9.72100
.52602 9.72280
.52820 9.72459
57
.71923
.52388
.72103
.52606
.72283
.52824
58
.71926
.52392
.72106 .52610
.72286
.52827
59
.71929 .52395
.72119 .52613
.72289
.52831
.53031 .72631
.53034
.53038 9.72637
.53042
.72462
.72640 .53259
.72465 .53045 .72642 .53263
.72468
.53267
.53049 .72645
.53248
6
.72634
.53252
5
.55256 4
9
2
+159.71932
.52399 9.72112
.52617 9.72292
.52835 9.72471 .530529.72648
.53270
0
17h 49m
17h 45m
17h 48m
17h 46m
17h 47m

TABLE IV.
[Page 119
Haversines.
6h 15m 93° 45′
6h 16m 94° 0' 6h 17m 94° 15′
6h 18m 94° 30'
6h 19m 94° 45
S
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav
S
0
1
2
3
.72657
9.72648 .53270 9.72825
.72651 .53274 .72828
.72654 .53277 .72831
.53281 .72834
.534889.73002
+1
1/ 9.72660
.532859.72837
LO
5
.72663
6
.72666
.53288 .72840
.53292
.72843
.73019
7
.72669
+
2/
9
10
11
+
.53296 .72846
9.72672 .53299 9.72849
.72675 .53303 .72852
.72678 .53306 .72855
.72681 .53310 .72858
39.72684 .53314 9.72861.
.53705
.53491 .73005 .53709 .73180
.53495 .73008 .53713 .73183
.53499 .73011 .53716 .73186
.53502 | 9.73014
.53506 .73016
.53510
.53513 .73022
9.73177
.53923 9.73352 .54140 | 60
.53927 .73355
.53930 .73358
.53934 .73361
.54144 59
.54148 58
.5415157
.537209.73189
.539379.73364
.5415556
.535179.73025
.53734
.53724 .73192
.53727
.53731 .73198
9.73201
.53941 .73367
.5415955
.73195
.53945
.53948
.73370
.54162 54
.73373
.54166 53
.539529.73375
.54169 52
.53520 .73028
.53738
.73204
.53956 .73378
.54173 51
.53524 .73031 .53742
.53528 .73034
.73207
.53959 .73381
.54177 50
.53745
.73209
.53963
.73384
.54180 49
.535319.73037
13
14
.72687 .53317 .72864
.72690 .53321 .72867
15
.72693
.53325 .72870
+
4'
.53546
17
.53549
18
19
+
5'
+
222
21
.72710
22
.72713
.53350 .72890
23
.72716
.53354 .72893
.53571 .73069
6'
9.72719
.53357 9.72896
.53575 | 9.73072
25
26
27
+
29
30
+
34
+
38
39
31
33
35
37
8/9.72743 .533869.72920
.72746 .53390 .72923
.72749 .53394 .72926
.72752 .53397
9/19.72755 .53401
.72758 .53404
.72761 .53408
.72764 .53412 .72940
+109.72767 .53415 9.72943
.72722 .53361 .72899
.72725 .53364 .72902 .53582 .75078
.72728 .53368 .72905 .53586 .73081
79.72731 .53372 9.72908 .53589 9.73084
.72734 .53375 .72911 .53593 .73087
.72737 | ..53379 .72914 .53597 .73090
.72740 .53383 .72917
.53579 .73075
.53600 .73093
9.72696 .53328 9.72873
.72699 .53332 .72876
.72702 .53335 .72878 .53553 .73055 .53771 .73230
.72705 .53339 .72881 .53557 .73057 .53774 .73233
9.72708 .53343 9.72884 .53560 9.73060 .53778 9.73236
.53346 .72887 .53564 .73063 .53782 .73239
.53568 .73066 .53785 .73242
.53789 .73244
.53792 9.73247
.53796 .73250
.53800 .73253 .54017
.53803 .73256 .54021 .73431
.53807 9.73259 .540249.73433
.53811 .73262
.53814 .73265
.53818 .73268
.73052
9.73212
.53535 .73040 .53753 .73215
.53539 .73043 .53756 .73218
.53542 .73046 .53760 .73221
9.73049 .53763 9.73224
.53767 .73227
.53749
.53966
9.73387
.54184 48
.53970
.73390
.54188 47
.53974 .73393
.54191 46
.53977 .73396
.54195 45
.539819.73399
.54198 44
.53985 .73402
.54202 43
.53988 .73404
.54206 42
.53992 .73407
.54209 41
.53995 9.73410
.54213 40
.53999 .73413
.54217 39
.54003
.73416
.54220 38
.54006 .73419
.54224 37
.540109.73422
.54227 36
.54014 .73425
.54231 35
.73428
.54235 34
.54238 33
.54242 32
.54028 .73436
.54245 31
.54032 .73439
.54249 30
.54035 .73442
.54253 29
.53604 | 9.73096
.53608 .73098
.53611
.72928 .53615
9.72931 .53618
.72934 .53622
.72937 .53626
.73101
.73104
9.73107
.73110
.73113
.53629 .73116
.536339.73119
41
.53637 *.73122
42
43
+11
45
46
47
+12
9.72790
49
.72793
50
.72796
.53452 .72972
51
.72799
.53455 .72975
+ 139.72802
53
.53680
.73157
54
.53684
.73160
55
.53687 .73163
+ 14'
57
58
59
.72823
+15
9.72825
.53821 9.73271
.53825 .73274
.53829 .73277
.53832 .73280
.53836 9.73282
.53840 .73285
.53843 .73288
.53847 .73291
.53850 9.73294
.72770 .53419 .72946
.53854 .73297
.72772 .53423 .72949 .53640 .73125 .53858 .73300
.72775 .53426 .72952 .53644 .73128 .53861 .73303 .54079 .73477
9.72778 .53430 9.72955 .53647 9.73131 .53865 9.73306 .54082 9.73480
.72781 .53433 .72958 .53651 .73134 .53869 .73309 .54086 .73483
.72784 .53437 .72961 .53655 .73136 .53872 .73311
.72787 .53441 .72964 .53658 .73139 .53876 .73314
.53444 9.72967 .53662 9.73142 .53879 9.73317
.53448 .72970 .53666 .73145 .53883
.53669 .73148 .53887
.53673 .73151 .53890 .73326 .54108 .73500 .54325 9
.53459 9.72978 .53676 | 9.73154 .53894 9.73329 .54111 9.73503 .54329 8
.72805 .53462 .72981
.53898 .73332 .54115 .73506 .54332 7
.72808 .53466 .72984
.53901 .73335 .54119 .73509 .54336 6
.72811 .53470 .72987
.53905 .73338 .54122 .73512 .54340 5
9.72814 .53473 9.72990 .53691 | 9.73166 .53908 9.73341 .54126 9.73515 .54343 4
.72817 .53477 .72993 .53695 .73169 .53912 .73343 .54130 .73517 .54347 3
.72820 .53481 .72996 .53698 .73172 .53916 .73346 .54133 .73520 .54351 2
.53484 .72999 .53702 .73174 .53919 .73349 .54137 .73523 .54354
.53488 9.73002 .53705 9.73177 .53923 9.73352
.54039 9.73445
.54256 28
.54043 .73448
.54046 .73451
.54260 27
.54264 26

.54050 .73454 .54267
.54053 9.73457 .54271
.54057
.54061 .73462
.54064 .73465
.54068 9.73468
22
25
24
.73460 .54274 23
.54278 22
.54282 21
.54285 | 20
.54072 .73471
.54289 19
.54075 .73474
.54293 18
.54296 17
.54300 16
.54303 15
.54090 .73486
.54307 14
.54093 .73489
.54311 18
.54097 9.73491
.54314 12
.73320
.54101 .73494
.54318 11
.73323
.54104 .73497
.54322 10
.54140 9.73526 .54358 0
17h 44m
17h 40m
17h 48m
17h 41m
17h 42m

Page 120]
TABLE IV.
Haversines.
S
0
+
солон
1
2
3
19.73538
567
+
2/19.73549
9.73526
.73529 .54361 .73702
.73532 .54365 .73705
.73535 .54369 .73708
.54372 9.73711
.73541 .54376 .73714
.73544 .54380 .73717
.73546 .54383 .73720
.54387 9.73722
9
.73552
.54390 .73725
10
.73555
.54394
.73728
11
.73558
.54398
.73731
.545759.73872 .54792 9.74044
.54579 .73875 .54796 .74047
.54582 .73878 .54800 .74049
.54586 .73881 .54803 .74052
.54590 9.73883 .54807 9.74055
.54593 .73886 .54810 .74058
.54597 .73889 .54814 .74061
.54600 .73892 .54818 .74064
.54604 9.73895 .54821 9.74067
.54608 .73898 .54825 .74069
.54611 .73901 .54828 .74072
.54615 .73903 .54832 .74075
6h 20m 95° 0'
6h 21m 95° 15'
6h 22m 95° 30'
6h 23m 95° 45'
6h 24m 96° 0'
Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. s
.543589.73699
.55226❘ 60
.55230 59
.550099.74215
.55013 .74218
.55017
.55020 .74223
.74220
.55234 | 58
.55237 | 57
.550249.74226
.55241 | 56
.55028 .74229
.55031 .74232
.55035 .74235
.55038 9.74237
.55042
.55245 | 55
.55248 54
.55252 58
.55255❘ 52
.74240
.55259 51
.55046
.74243
.55263 50
.55049 .74246
.55266 49
+
39.73561 .54401 9.73734
.54619
9.73906
13
.73564 .54405 .73737
.54622
.73909
14
.73567
.54409 .73740
.54626
.73912
15
.73570
.54412 .73743
.54629 .73915
.54836 9.74078
.54839 .74081
.54843 .74084
.54847 .74087
.550539.74249
.55270 | 48
.55056
.55060
.74252
.55273 | 47
.74254
.55277 46
.55064 .74257
.55281 45
+
49.73572 .54416 9.73746
.546339.73918
17
.73575
.54419 .73748
18
.73578
.54423 .73751
19
.73581
+
5'9.73584
21
22
.73590
23
.73593
+ 6'
9.73596
25
26
277
+
9.73607
29
30
31
.54427 .73754
.54430 9.73757
.73587 .54434 .73760
.54437 .73763
.54441 .73766
.54445 9.73769
.73598 .54448 .73771
.73601 .54452 .73774
.73604 .54456 .73777
.54459 9.73780
.73610 .54463 .73783
.73613 .54466 .73786
.73616 .54470 .73789
.546629.73941
.54666 .73944
.54669 .73946
.54673 .73949
.54676 9.73952
.54680 .73955
.54684 .73958
.54687 .73961
.54850 9.74089
.54637 .73921 .54854 .74092
.54640 .73924 .54857 .74095
.54644 .73926 .54861 .74098
.54647 9.73929 .54865 9.74101
.54651 .73932 .54868 .74104
.54655 .73935 .54872 .74106
.54658 .73938 .54876 .74109
.54879 9.74112
.54883 .74115
.54886 .74118
.54890 .74121
.550679.74260
.55284 44
.55071 .74263
.55075
.55288 | 43
.74266
.55292 42
.55078 .74269
.55295 | 41
.550829.74272
.5529940
.55085 .74274
.55302 39
.55089 .74277
.55306 38
.548949.74124
.55093
.55096
.55100 .74286
.55103
.55107 .74291
.55111 9.74294
.74280
9.74283
.55310 37
.55313 36
.5531735
.74289
.55320 34
.55324 33
.55328 32
.54897 .74126
.54901 .74129
.54904
.55114 .74297
.55331 31
+
8
9.73619
.54474 9.73792
.546919.73964
.54908
33
.73622
.54477
34
.73624
35
.73627
+
99.73630
.544889.73803
37
38
39
.73639
.73794 .54695 .73967
.54481 .73797 .54698 .73969
.54485 .73800 .54702 .73972
.54705 9.73975
.73633 .54492 .73806 .54709 .73978
.54495
.73636
.73809 .54713 .73981
.54499 .73812 .54716 .73984
.55118
.74132 .55122
9.74135 .55125 9.74306
.54912 .74138 .55129
.54915 .74141 .55132 .74311
.54919 .74144
.74300
.55335| 30
.74303
.55339 29
.55342 28
.74308
.55346 27
.55349 26

.55136 .74314
.55353 25
.549239.74146
.55140 9.74317
.55357 24
.54926 .74149
.54930
.54933
.55143 .74320
.55360 23
.74152
.55150
.74155
.55147 .74323
.55364 22
.74325
.55367 21
+10
9.73642
.54503 9.73815
.547209.73987
.549379.74158
41
.73645
.54506 .73817
.54724 .73989
42
.73648
.54510 .73820
.54727
.73992
43
.73650
.54514 .73823
.54731
.73995
.54948
.54941 .74161
.54944 .74163
.74166
119.73653
.54517 9.73826
.54734
9.73998
.54952
9.74169
.55154 9.74328
.55158
.55161 .74334
.55165
.55169 9.74340
.55371 20
.74331
.55375 19
.55378 | 18
.74337
.55382 17
.55386 16
45
.73656 .54521 .73829
.54738
.74001
.54955
.74172
.55172
.74342
.55389 15
46
.73659
47
.73662
.54524
.54528
.73832
.54742
.74004
.54959
.55176
.74175
.74345
.55393 | 14
.73835 .54745
.74007
.54963
.74178
.55179
.74348
.55396 13
+12
9.73665
.54532 9.73838 .54749
9.74009
.54966
9.74181
.55183 9.74351
.55400 | 12
49
.73668
.54535
.73840 .54752
.74012
.54970
.74183
50
.73671
.54539
.73843
.54756
.74015
.54973
.74186
.55187 .74354
.55190 .74357
.55404 11
.55407 | 10
51
.73674
.54542
.54760
.73846
.74018
.54977
.74189
+13'
9.73676
.54546 9.73849
.54763 9.74021
.54980
9.74192
53
.73679
.54550 .73852
.54767
.74024
.54984
54
.73682
.54553
.73855
.54771
.74027
.54988
55
.73685
.54557
.73858
.54774
.74029
.74198
.54991 .74200
+149.73688
.54561 9.73860
.54778
9.74032
.54995 9.74203
57
58
59
+15 9.73699 .54575 9.73872
.73691 .54564
.73866
.73694 .54568
.73697 .54571 .73869 .54789 .74041
.54792 9.74044
.73863
.54781
.74035
.54999
.74206
.54785 .74038
.55002
.74209
.55006
.74212
.55009 9.74215
.55194 .74359 .55411 9
.55197 9.74362
.74365 .55418
.55201
.74195
.55205 .74368
.55208 .74371
.55212 9.74374 .55429
.55216 .74376
.55219 .74379 .55436
.55223 .74382 .55440
.55226 9.74385
.55414
.55422 6
.55425
∞ 2 COL
8
5
4
.55433
Co
3
2
1
.55443
0
17h 39m
17h 35m
17h 88m
17h 36m
17h 37m

TABLE IV.
[Page 121
•
4%
Haversines.
6h 25m 96° 15′
6h 26m 96° 30'
6h 27m 96° 45' 6h 28m 97° 0
6h 29m 97° 15'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
S
0
9.74385
1
.74388
.55443
.55447
2
.74391
.55451
3
.74393
+ 1/
9.74396
5
.74399
9.74554
.74557
.74560
.55454 .74563
.55458 9.74566
.55461 .74569
6
.74402 .55465
77
.74405
.55469 .74574
+ 2/
9.74408
.554729.74577
9
.74410
10
11
.74413
.74416
+
13
14
+
15
17
18
19
.74433
.74436
.74439
39.74419
.74422
.74425
.74427
49.74430 .555019.74600 .55718 9.74768
.55505 .74602 .55722 .74771
.55508 .74605 .55725 .74774
.55512 .74608 .55729 .74776
.55660 9.74723
.55664 .74726
.55667 .74729
.55671 .74732
.55675 9.74734
.55678 .74737
.74571 .55682
.74740
.55685 .74743
.55689 9.74746
.55476 .74580 .55693 .74748
.55479 .74583 .55696 .74751
.55483 .74585 .55700 .74754
.554879.74588 .55704 9.74757
.55490 .74591 .55707 .74760
.55494 .74594 .55711 .74762
.55498 .74597 .55714 .74765
.558779.74891 .56093
.55880 .74894 .56097
.55884 .74897 .56101 .75064
.55888 .74900 .56104 .75067
9.75059
.56310 60
.75061
.56314 59
.56317 58
.5632157
.558919.74902
.56108 9.75070
.56324 56
.55895 .74905
.55899 .74908
.55902 .74911
.56112 .75072
.56328 55
.56115
.75075
.56332 | 54
.56119 .75078
.56335 53
.559069.74914
.56122 9.75081
.56339 52
.55909 .74916
.55913
.55917
.55920 | 9.74925
.55924 .74928
.55927 .74930
.55931 .74933
.55935 9.74936
.55938 .74939
.55942 .74941
.55945 .74944
.74919
.56126
.56130
.75084
.56342 51
.75086
.56346 50
.74922
.56133 .75089
.56350 49
.56137 9.75092
.56140
.56353 48
.75095
.56357 47
.56144 .75097
.56147 .75100
.56360 46
.561519.75103
.56155 .75106
.56158
.56162 .75111
.75109
.56364 | 45
.5636844
.56371 43
.56375 42
.56378 41
+
59.74442 .555169.74611
.557329.74779
.559499.74947
.56166 9.75114
.56382 40
21
.74444
22
23
+
25
.74456
.55534
.74625 .55750 .74793
26
.74458
.55537
.74628 .55754 .74796
27
.74461
.55541
+
7/9.74464
29
30
31
33
34
.74478
.74481
85
.74484
+
9/9.74487
377
.74490
38
39
41
42
43
45
46
47
49
50
51
139.74532 .55631 9.74701
58
54
55
57
58
59
.55519 .74614 .55736 .74782 .55953 .74950
.74447 .55523 .74616 .55740 .74785 .55956 .74953 .56173
.74450 .55526 .74619 .55743 .74788 .55960 .74955 .56176
6/9.74453 .55530 9.74622 .55747 9.74791 .55964 9.74958 .56180
.55967 .74961
.55971 .74964 .56187 .75131
.74630 .55758 .74799 .55974 .74967
.55545 9.74633 .55761 9.74802 .55978 9.74969
.74467 .55548 .74636 .55765 .74805 .55982 .74972
.74470 .55552 .74639 .55769 .74807 .55985 .74975
.74473 .55555 .74642 .55772 .74810 .55989 .74978
+ 8'
8/19.74475 .55559 9.74645 .55776 9.74813 .55992 9:74981
.55563 .74647 .55779 .74816 .55996 .74983
.55566 .74650 .55783 .74819 .56000 .74986
.55570 .74653 .55787 .74821 .56003 .74989 .56220 .75156
.55573 9.74656 .55790 9.74824 .56007 9.74992
.5557* .74659 .55794 .74827 .56010 .74994
.74492 .55581 .74661 .55797 .74830 .56014 .74997
.74495 .55584 .74664 .55801 .74833 .56018 .75000
109.74498 .55588 9.74667 .55805 9.74835 .56021 9.75003
.74501 .55592 .74670 .55808 .74838 .56025 .75006
.74504 .55595 .74673 .55812 .74841 .56029 .75008 .56245
.74506 .55599 .74675 .55815 .74844 .56032 .75011 .56249
119.74509 .556029.74678 .55819 9.74846 .56036 9.75014 .56252 9.75181
.74512 .55606 .74681 .55823 .74849 .56039 .75017 .56256 .75183
..74515 .55610 .74684 .55826 .74852 .56043 .75020 .56259
.74518 .55613 .74687 .55830 .74855 .56047 .75022
+129.74521 .556179.74690 .55834 9.74858 .56050 9.75025
.74523 .55620 .74692 .55837 .74860 .56054 .75028 .56270 .75195
.74526 .55624 .74695 .55841 .74863 .56057 .75031 .56274 .75197
.74529 .55628 .74698 .55844 .74866 .56061 .75033 .56277 .75200
.55848 9.74869 .56065 9.75036 .56281 9.75203 .56497 8
.74535 .55635 .74704 .55852 .74872 .56068 .75039 .56285 .75206 .56501
.74538 .55638 .74706 .55855 .74874 .56072 .75042 .56288 .75208 .56505 6
.74540 .55642 .74709 .55859 .74877 .56075 .75045 .56292 .75211 .56508 5
149.74543 .55646 9.74712 .55862 9.74880 .56079 9.75047 .56296 9.75214 .56512
.74546
4
.55649 .74715 .55866 .74883 .56083 .75050 .56299 .75217 .56516 3
.74549 .55653 .74718 .55870 .74886 .56086 .75053 .56303 .75220 .56519 2
.74552 .55657 .74720 .55873 .74888 .56090 .75056 .56306 .75222 .56523 1
+ 159.74554 .55660 9.74723 .55877 9.74891 .56093 9.75059 .56310 9.75225 .56526 0
.56169 .75117
.56386 39
.75120
.56389 38
.75122
.56393 87
9.75125
.56184 .75128
.56397 | 36
.56400 35
.56404 34
.56191 .75134
.56407 33
.561959.75136
.56411 32
.56198 .75139
.56415 31
.56202 .75142
.56418 30
.56205 .75145
.56422 29
.562099.75147
.56425 28
.56213 .75150
.56429 27

.56216
.75153
.56433 26
.56436 25
.56223 | 9.75159
.56440 24
.56227 .75161
.56443 23
.56231 .75164
.56447 22
.56234
.56238 9.75170
.56241 .75172
.75167
.56451 21
.56454 20
.56458 19
.75175
.56461 18
.75178
.56465 17
.56469 16
.56472 15
.75186
.56476 14
.56263 .75189
.56479 13
.56267 9.75192
.56483 12
.56487 11
.56490 10
.56494 9
17h 34m
17h som
17h 38m
17h 81m
17h 32m

Page 122]
TABLE IV.
Haversines.
6h 30m 97° 30′
6h 31m 97° 45'
6h 32m 98° 0 6h 33m 98° 15′
6h 34m 98° 30'
S Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
9.75225
.565269.75391
1
Co s
2
.75228
.75231 .56534
3
+
19.75236
567
.75244
.567439.75556 .569599.75720 .57175 9.75884
.56530 .75394 .56746 .75559 .56962 .75723
.75396 .56750 .75561
.75233 .56537 .75399 .56753 .75564
.56541 9.75402 .56757 9.75567
.75239 .56544 .75405 .56761 .75570
.75242 .56548 .75407 .56764 .75572
.56552 .75410 .56768
.57390 60
.57178 .75887
.57394 59
.56966 .75726
.57182 .75889
.57398 58
.56969 .75729
.57185 .75892
.57401 | 57
.56973
9.75731
.57189 9.75895
.57405 56
.56977 .75734
.57193 .75898
.57408 55
.75575
+
29.75247
.565559.75413
9
.75250
.56559 .75416
10
.75253
.56562
.75418
11
.75256
.56566
.75421
.56771
.56775 .75581
.56779 .75583
.56782 .75586
9.75578
+
3'9.75258 .56570 9.75424
.56786 1 9.75589
13
14
15
+
.75264
.75267
49.75269
.75261 .56573 .75427
.56577 .75429
.56580 .75432
17
.75272
18
19
+ 5'
.75275
.75278
9.75280
21
.75283
22
.75286
.56602 .75449
.56606 .75452
23
.75289
+
69.75291
25
.75294
26
.75297
27
.75300
.56609 .75454
.56613 9.75457
.56616 .75460
.56620 .75463
.56624 .75465
.75737
.75739
.56987 9.75742
.56991 .75745
.56994 .75748
.56998 .75750
.57002 9.75753
.56789 .75592 .57005 .75756
.56793 .75594 .57009 .75759
.56797 .75597 .57012 .75761
.565849.75435 .56800 9.75600
.56588 .75438 .56804 .75603 .57020 .75767
.56591 .75440 .56807 .75605 .57023 .75770 .57239
.56595 .75443 .56811 .75608 .57027 .75772
.565989.75446 .56815 9.75611 .57031 9.75775
.56818 .75614 .57034 .75778
.56822 .75616 .57038 .75780 .57254
.56825 .75619 .57041
.56829 | 9.75622
.56980
.56984
.57196
.57200 .75903
.75900
.57412 54
.5741653
.572039.75906
.57419 52
.57207 .75908
.57211 .75911
.57214
.57218 9.75917
.57221 .75919
.57423 51
.57426 50
.75914
.57430 49
.57434 48
.57437 47
.57225
.75922
.57441 46
.57229 .75925
.57444 | 45
.570169.75764
.57232 9.75927
.57448 44
.57236 .75930
.57452 | 43
.75933
.57455 42
.57243 .75936
.57247 9.75938
.57459 41
.57462 40
.57250 .75941
.57466 39
.75944
.57470 38
.75783 .57257 .75947
.57473 37
.57045
9.75786
.57261 9.75949
.57477 36
.56833 .75625
.57049
.75789
.57265 .75952
.57480 36
.56836 .75627
.56840
.57052
.75791
.57268 .75955
.57484 34
.75630 .57056 .75794
.57272 .75957
.57488 33
+
9.75303
.566279.75468
.56843
9.75633
29
.75305
.56631 .75471
.56847
.75636
30
.75308
.56634 .75474
.56851
31
.75311
+
8' 19.75314
33
.75316
.56638 .75476 .56854
.56642 9.75479
.56645 .75482
.57059 9.75797
.57063 .75800
.75638 .57067 .75802
.75641 .57070 .75805
.56858 9.75644
.56861 .75646
.57275 9.75960
.57491 32
.57279 .75963
.57495 | 31
.57283 .75966
.57286 .75968
.57498 30
.57502❘ 29
34
.75319
.56649
.75485
.56865
.75649
35
.75322
.56652 .75487
.56869
.75652
+
9/9.75325
37
38
39
.75330
.75333
.56656 9.75490
.75327 .56660 .75493
.56663 .75496
.56667 .75498
.56872
9.75655
.56876
.75657
.56879 .75660
.56883 .75663
+109.75336
.56670 9.75501
.568879.75666
41
.75338 .56674
.75504
42
.75341 .56678
.75507
43
.75344
.56681
.75509
+11
9.75347
.56685 9.75512
45
46
47
+ 129.75358
49
50
51
.75366
.75350 .56689 .75515
.75352 .56692 .75518
.56696
.75355
.75520
.56699 9.75523
.75361 .56703
.56707
.75363
.56710 .75531
.569159.75688
.75526
.56919
.75529
.56923
.56926
+13' 9.75369
.56714 9.75534
53
.75372 .56717
.56930
.56933
.75537
.57074 9.75808
.57077 .75810
.57081 .75813
.57085 .75816
.57088 9.75819
.57092 .75821 .57308 .75985
.57095 .75824 .57311
.57099 .75827 .57315 .75990
.57103 9.75830 .57318 9.75993
.56890 .75668 .57106
.57322
.75832
.56894 .75671 .57110 .75835 .57326
.56897 .75674 .57114 .75838 .57329 .76001
.56901 9.75677 .57117 9.75840
.56905 .75679 .57121
.57337
.75843
.56908 .75682 .57124 .75846 .57340
.56912 .75685 .57128 .75849
.76012
.57344
.57131 9.75851 .57347 9.76014
.75690 .57135
.57351
.75854
.76017
.75693 .57139 .75857 .57355 .76020
.75696 .57142 .75859 .57358 .76023
9.75698
.75701
.572909.75971
.57506 28
.57293 .75974
.57297 .75976
.57509 27
.57513 26

.57301 .75979
.57516 25
.573049.75982
.57520 24
.57524 23
.75987
.57527 | 22
.57531 21
.57534 20
.75995
.57538 19
.75998
.57541 18
.57545 17
.57333 9.76004
.57549 16
.76006
.57552 15
.76009
.57556 | 14
.57559 | 13
.57563 12
.57567 11
.57570 10
.57574 9
.57146 9.75862
.573629.76025
.57149 .75865
54
.75374
.56721
.75540
.56937.75704
55
.75377
.56725
+149.75380 .56728 9.75545
57
58
59
+159.75391
.56743 9.75556
.56941 .75707
.56944 9.75709
.75548 .56948
.75383
.75712
.56732
.56951
.75550
.75385 .56735
.75715
.56955 .75718
.75388 .56739 .75553
.56959 9.75720
.75542
.57153 .75868
.57157 .75870
.76033 .57588
.57160 9.75873 .57376 9.76036 .57592
.57164
.57380
.75876
.57167 .75879 .57383
.75881
.57171
.57387
.57175 9.75884 .57390
.57365
.57369
.57373
.76028
.76031
.57577
.57581
.57585
5
.76039 .57595 3
87664&
.76041 .57599 2
.76044 .57603 1
9.76047 .57606 0
17h 29m
17h 25m
17h 28m
17h 26m
17h 27m

TABLE IV.
[Page 123
S
0
1
2
3
9.76047
.76050 .57610 .76212
.76052 .57613 .76215
.76055 .57617 .76217
.576069.76209
6h 35m 98° 45'
6h 36m 99° 0′
Haversines.
6h 37m 99° 15′ 6h 38m 99° 30' 6h 39m 99° 45'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. s
.578229.76371 .580379.76531
690
.582529.76691
+
1/ 9.76058
.576219.76220
.578369.76381
567
.76066
.76060 .57624 .76223
.76063 .57628 .76225 .57843
.57631 .76228 .57847 .76389
.57840 .76384
.57825 .76373 .58041 .76534 .58256 .76694
.57829 .76376 .58044 .76537 .58260
.57833 .76379 .58048 .76539 .58263 .76699
.58051 9.76542
.58055 .76545
.58467 60
.58471 59
.76697
.58475|| 58
.58478 57
.582679.76702
.58482 56
.58270 .76705
.58485 55
.76387
.58059 .76547
.58274 .76707
.58489 54
.58062 .76550
.58277 .76710
.58493 53
+
29.76069
.576359.76231 .57850 9.76392
.580669.76553
.58281 9.76713
.58496 52
9
.76071
.57639 .76233
.57854
.76395
.58069 .76555
.58285 .76715
.58500 51
10
.76074
.57642 .76236
.57858
.76397
.58073
.76558
.58288 .76718
.58503 50
11
.76077
.57646 .76239
.57861
.76400
.58077
.76561
.58292 .76721
.58507 49
+ 3'
9.76079
.57649 9.76241
.57865 9.76403
13
14
15
+ 4/
9.76090
17
.76093
18
.76096
.76082 .57653 .76244 .57868
.76085 .57656 .76247 .57872
.76088 .57660 .76250 .57876
.57664 9.76252 .57879
.57667
.57671 .76258
.76405
19
.76098
.57675 .76260
.76408
.76411
9.76414
.76255 .57883 .76416
.57886 .76419
.57890 .76422
.58080 9.76563
.58084 .76566
.58087 .76569
.58091 .76571
.58095 9.76574
.58098 .76577
.58102 .76579
.582959.76723
.58510 48
.58299 .76726
.58303
.58306 .76731
.58310 9.76734
.58514❘ 47
.76729
.58518 46
.58521 45
.58525 44
.58313 .76737
.58528 43
.58317 .76739
.58532 42
+ 5'
9.76101
.57678 9.76263
.578949.76424
.58105
58109 9.76585
.76582
.58321 .76742
.58536 41
.583249.76745
.58539 40
21
.76104 .57682 .76266
.57897 .76427
.58112
.76587
.58328 .76747
.58543 39
22
.76106
23
.76109
.57685 .76268 .57901 .76430
.57689 .76271 .57904
.58116
.76590
.58331 .76750
.58546 38
.76432
.58120
.76593
+ 6'
9.76112
.57692 9.76274
.57908
9.76435
.58123 9.76595
.58335
.58338 9.76755
.76753
.58550 37
.58553 36
25
.76115
.57696 .76276
.57911
.76438 .58127 .76598
.58342 .76758
.58557 35
26
.76117
.57700 .76279
.57915
27
.76120 .57703 .76282
.57919
.76440
.76443
+
29
30
31
+ 8'
33
34
.57728 .76301
35
.57732 .76303
79.76123 .57707 9.76285 .57922
.76125 .57710 .76287 .57926
.76128 .57714 .76290 .57929 .76451
.76131 .57718 .76293 .57933 .76454
9.76134 .57721 9.76296 .57937 9.76456
.76136 .57725 .76298 .57940 .76459
.76139
.57944 .76462
.76142
.57947 .76464
9.76446
.76448
.58130 .76601
.58134 .76603
.58138 9.76606
.58141 .76609
.58145 .76611
.58148 .76614
.58152 9.76617
.58156
.58346 .76761
.58561| 34
.58349 .76763 .58564 33
.58353 9.76766
.58568 32
.58356 .76769
.58571 31
.58360
.76771
.58575 80
.58364
.76774
.58579 29
.58367
9.76777
.58582 28
.76619 .58371 .76779
.58586 27
+ 99.76144
377
38
39
+10
.57736 9.76306
.76147 .57739 .76309
.76150 .57743 .76311
.76152
9.76155
.57746 .76314
.57750 | 9.76317
41
.76158
.57753 .76320
42
.76161
43
+11
45
46
47
+12
49
50
51
53
54
55
149.76198 .57807 9.76360
57
58
59
+15
.57951 | 9.76467
.57955 .76470
.57958 .76473
.57962 .76475
.57965 9.76478
.57969 .76481
.57757 .76322 .57973 .76483
.76163 .57761 .76325 .57976 .76486
9.76166 .57764 9.76328 .57980 9.76489
.76169 .57768 .76330 .57983 .76491 .58199 .76651
.76171 .57771 .76333 .57987 .76494 .58202 .76654 .58417 .76814 .58632 14
.76174 .57775 .76336 .57990 .76497 .58206 .76657 .58421 .76816..58636 13
9.76177 .57779 9.76338 .579949.76499 .58209 9.76659 .58424 9.76819 .58639 12
.76179 .57782 .76341 .57998 .76502 .58213 .76662 .58428 .76822 .58643 11
.76182 .57786 .76344 .58001 .76505 .58217 .76665 .58432 .76824
.76185 .57789 .76346 .58005 .76507 .58220 .76667 .58435 .76827
+13' 9.76188 .57793 9.76349 .58008 9.76510 .58224 9.76670 .58439 9.76830 .58654 8
.76190 .57797 .76352 .58012 .76513 .58227 .76673 .58442 .76832 .58657
.76193 .57800 .76354 .58016 .76515 .58231 .76675 .58446 .76835 .58661
.76196 .57804 .76357 .58019 .76518 .58234 .76678 .58450 .76838 .58665
.58023 9.76521 .58238 9.76681 .58453 9.76840 .58668
.76201 .57811 .76363 .58026 .76523 .58242 .76683 .58457 .76843 .58671 3
.76204 .57815 .76365 .58030 .76526 .58245 .76686 .58460 .76845 .58675 2
.76206 .57818 .76368 .58034 .76529 .58249 .76689 .58464 .76848 .58679 1
9.76209 .57822 9.76371 .58037 9.76531 .58252 | 9.76691 .58467 9.76851 .58682 0
.58159 .76622 .58374 .76782
.58163 .76625 .58378
.58166 9.76627
.58170 .76630
.58173 .76633
.58589 26

.76784
.58593 25
.58381 9.76787
.58596 24
.58385 .76790
.58600 | 23
.58389 .76792
.58604 22
.58177.76635
.581819.76638
.58392 .76795
.58607 21
.58396 9.76798
.58611 20
.58184 .76641
.58188 .76643
.58191 .76646
.58195 | 9.76649
.58399 .76800
.58614 19
.58403 .76803
.58618 18
.58407 .76806
.58622 17
.58410 9.76808
.58625 16
.58414 .76811
.58629 15
.58647 10
.58650 9
7
65
4
17h 24m
17h 20m
17h 23m
17h 21m
17h 22m

Page 124]
TABLE IV.
Haversines.
の
​6h 40m 100° 0'
Log. Hav. Nat. Hav.
6h 41m 100° 15′
Log. Hav. Nat. Hav.
0
123
+
19.76861
9.76851 .58682 9.77009
.76853 .58686 .77012
.76856 .58690 .77015
.76859 .58693 .77017
.58697 9.77020
567
.76864 .58700 .77023
.58915
.77181
6h 42m 100° 30′
Log. Hav. Nat. Hav.
.58897 9.77167 .59112 9.77325
.58901 .77170 .59115 .77327 .59330 .77484
.58904 .77173 .59119 .77330 .59333 .77486
.58908 .77175 .59122 .77333 .59337 .77489
.58911 9.77178 .59126 9.77335
.59130 .77338
6h 43m 100° 45′
Log. Hav. Nat. Hav.
6h 44m 101°0′
Log. Hav. Nat. Hav.
の
​.59326 9.77481
.59540 60
.59544 59
.59548 58
.59551 | 57
.593409.77492
.59555 56
.59344 .77494
.59558 55
.76867 .58704 .77025
.58919
.77183
.76869
.58707 .77028
.58922
.77186
+
2/ 19.76872
.58711 9.77031
.58926
9.77188
9
.76875
10
.76877
11
+
.76880
39.76883 .58725 9.77041
.58714 .77033
.58718 .77036
.58722 .77038
13
.76885
14
.76888
15
.76891
+ 4'
9.76893
17
.76896
18
.76898
19
.76901
+
5'
9.76904
21
22
23
.76912
+ 69.76914
25
.76917
26
.76920
27
.76922
+
79.76925
29
30
31
+
33
34
35
+
37
38
39
9/9.76946
.76949
.76951
.76954
+10
9.76957
41
42
43
+119.76967
45
46
47
+12
9.76978
49
.76980
50
53
54
55
57
58
59
.59230 .77411
.59233 .77413
.59237 .77416
.58811 9.77104
.59240 9.77419
.58815 .77107 .59030 .77264 .59244 .77421
.58818 .77110 .59033 .77267 .59248 .77424
.58822 .77112 .59037 .77270 .59251 .77427
.58826 9.77115 .59040 9.77272 .59255 9.77429
.76959 .58829 .77117 .59044 .77275 .59258 .77432
.76962 .58833 .77120 .59047 .77278 .59262
.76965 .58836 .77123 .59051 .77280 .59265 .77437
.58840 9.77125 .590559.77283 .59269 9.77440
.76970 .58843 .77128 .59058 .77285 .59273 .77442
.76972 .58847 .77131 .59062 .77288 .59276 .77445
.76975 .58851 .77133 .59065 .77291 .59280 .77447
.588549.77136 .59069 9.77293
.58858 .77139 .59072 .77296
.76983 .58861 .77141 .59076 .77298 .59290 .77455
51
.76986 .58865 .77144 .59080 .77301 .59294 .77458
+13' 9.76988 .58869 9.77146 .59083 9.77304 .59298 9.77460
.76991 .58872 .77149 ..59087 .77306 .59301 .77463
.76994 .58876 .77152 .59090 .77309 .59305 .77466
.76996 .58879 .77154 .59094 .77312 .59308 .77468
+149.76999 .58883 9.77157 .59097 9.77314
.77002 .58886 .77160 .59101 .77317
.77004 .58890 .77162 .59105 .77319
.77007 .58894 .77165 .59108 .77322
.58897 9.77167 .59112 9.77325
+15' 9.77009
.58929 .77191
.58933 .77194
.58937 .77196
.58940 9.77199
.58729 .77044 .58944 .77202
.58733 .77046 .58947 .77204
.58736 .77049 .58951 .77207
.58740 9.77052 .58954 9.77209
.58743 .77054 .58858 .77212
.58747 .77057 .58962 .77215
.58750 .77060 .58965 .77217
.58754 9.77062 .58969 9.77220
.76906 .58758 .77065 .58972 .77223
.76909 .58761 .77067 .58976 .77225
.58765 .77070 .58979 .77228
.58768 9.77073 .58983 9.77230 .591989.77387
.58772 .77075 .58987 .77233 .59201 .77390
.58776 :77078 .58990 .77236 .59205 1.77393
.58779 .77081 .58994 .77238 .59208 .77395
.587839.77083 .58997 9.77241 .59212 9.77398
.76928 .58786 .77086 .59001 .77243 .59215 .77400
.76930 .58790 .77089 .59005 .77246 .59219 .77403
.76933 .58793 .77091 .59008 .77249 .59223 .77406
89.76936 .58797 9.77094 .59012 9.77251
.76938 .58801 .77096
.76941 .58804 .77099
.76943 .58808 .77102
.59133 .77340
.59137 .77343
.59140 9.77346
.59144 .77348
.59148 .77351
.59151 .77353
.59348
.77497
.59562 54
.59351 .77499
.59565 53
.593559.77502
.59569 52
.59358 .77505
.59573 51
.59362 .77507
.59576 50
.591559.77356
.59158 .77359
.59162 .77361
.59165 .77364
.59169 9.77366
.59173 .77369
.59176 .77372
.59180 .77374
.59365 .77510
.59369 9.77512
.59373
.59376 .77518
.59580 49
.59583 48
.77515
.5958747
.59590 46
.59380 .77520
.59594 45
.59383 9.77523
.59598 44
.59387
.77525
.59601 43
.59391
.77528
.59605 42
.59394 .77531
.59608 41
.591839.77377
.59398 9.77533
.5961240
.59187 .77380
.59190 .77382
.59194 .77385
.59401 .77536
.59615 39
.59405 .77538
.59408 .77541
.59619 38
.59623 37
.594129.77544
.59626 36
.59416 .77546
.59419
.59630 35
.77549
.59633 34
.59423 .77551
.59637 | 33
.594269.77554
.59640 32
.59430 .77557
.59644 31
.592269.77408
.59433 .77559
.59437
.59440 9.77564
.59648 30
.77562
.59651 29
.59655 28
.59015
.59019
.77254
.77257
.59022 .77259
.59444 .77567
.59658 27
.59448 .77570
.59662 26

.59451 .77572
.59665 25
.590269.77262
.59455
9.77575
.59669 24
.59458
.77577
.59672 28
.59462 .77580
.59676 22
.59465 .77583
.59680 21
.77434 .59476
.59469 9.77585
.59473 .77588
.77590
.59683❘ 20
.59687 19
.59690 18
.59480 .77593
.59694 17
.59483 9.77596
.59697 16
.59487 .77598
.59701 15
.59490 .77601
.59705 | 14
.592839.77450
.59494
.59498 9.77606
.77603
.59708 18
.59712 12
.59287 .77453
.59501 .77609
.59715 11
.59505 .77611
.59719 10
.59508 .77614
.59722 9
.595129.77616
.59726 8
.59515 .77619
.59519 .77622 .59733 6
.59523 .77624 .59737 5
.59312 9.77471
.59740
.59526 9.77627
.59315 .77473 .59530 .77629 .59744
.59319 .77476 .59533 .77632 .59747
.59323 .77479 .59537 .77634 .59751
.59326 9.77481 .59540 9.77637 .59755
.59730 7
6/432~
1
0
17h 19m
17h 15m
17h 18m
17h 16m
17h 17m

TABLE IV.
[Page 125
Haversines.
6h 45m 101° 15′
6h 46m 101° 30′
6h 47m 101° 45′
6h 48m 102° 0' 6h 49m 102° 15′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. s
S
467
+
сого как о
0
1
2
3
5
+
9
.59769 9.77803
.77650 .59772 .77805
.77653 .59776 .77808
.77655 .59779 .77810
29.77658
9.77637 .59755 9.77792
.77640 .59758 .77795
.77642 .59762 .77797
.77645 .59765 .77800
19.77647
.599689.77947
.60182
9.78101
.603969.78254
.60609 GO
.59972 .77949
.60185
.78103
.59976 .77952
.59979 .77954
.60189
.78106
.60193 .78108
.60399 .78256
.60403 .78259
.60406 .78261
.60612 59
.60616 58
.6062057
.599839.77957
.601969.78111
.604109.78264
.59986 .77960
.59990 .77962
.59993 .77965
.60200 .78113
.60203 .78116
.60207 .78118
10
.59783 9.77813
.77660 .59787 .77815
.77663 .59790 .77818
.599979.77967
.60211 9.78121
.60000 .77970
.60004
.77972
.60214
.60218
.78124
.78126
.60414 .78266
.60417 .78269
.60420 .78271
.60424 9.78274
.60428 .78277
.60431 .78279
.60623 56
.60627 | 55
.60630 54
.60634 53
.60637 52
.6064151
.60644 50
11
.77666
.59794 .77821
.60008
.77975
.60221 .78129
.60435 .78282
.60648 49
+
39.77668
.597979.77823
.60011
9.77978
.602259.78131
.60438 | 9.78284
.60652 48
13
.77671
.59801 .77826 .60015
14
.77673
15
.77676
+
49.77679
17
.77681
18
19
+
5'
21
22
23
+
6
25
26
.77704
27
.77707
+
7/9.77710 .59854
29
30
.77715
31
+
8'
83 ?
33
34
85*
+
9/9.77730
37
38
39
.77980
.59804 .77828 .60018 .77983
.59808 .77831 .60022 .77985
.59812 9.77834 .60025 9.77988
.59815 .77836 .60029 .77990 .60243 .78144
.77684 .59819 .77839
.60033 .77993 .60246
.77686 .59822 .77841 .60036 .77996 .60250 .78149
9.77689 .59826 9.77844 .60040 9.77998 .60253 9.78152
.77691 .59829 .77846 .60043 .78001 .60257 .78154
.77694 .59833 .77849 .60047 .78003
.77697 .59837 .77852 .60050 .78006 .60264
9.77699 .59840 | 9.77854 .600549.78008 .60268
.77702 .59844 .77857 .60057 .78011 .60271
.59847 .77859 .60061 .78013 .60275 .78167
.59851 .77862 .60065 .78016 .60278 .78170
9.77864 .60068 9.78019
.77712 .59858 .77867 .60072 .78021 .60285 .78175 .60499 .78327
.59861 .77870 .60075 .78024 .60289 .78177 .60502 .78330
.77717 .59865 .77872 .60079 .78026 .60292 .78180 .60506 .78332
9.77720 .59869 9.77875 .60082 9.78029 .60296 9.78182 .60509 9.78335
.77723 .59872 .77877 .60086 .78031 .60300 .78185 .60513 .78338
.77725 .59876 .77880 .60090 .78034 .60303 .78187 .60516 .78340
.77728 .59879 .77882 .60093 .78037 .60307 .78190 .60520 .78343
.59883 9.77885 .60097 9.78039 .60310 9.78192
.77733 .59886 .77888 .60100 .78042 .60314 .78195
.77735 .59890 .77890 .60104
.60317 .78198
.77738 .59894 .77893 .60107
.60228 .78134
.60232 .78136
.60235 .78139
.60442
.78287
.60655 47
.60445
.78289
.60659 46
.60449 .78292
.60662 45
.602399.78141
.604529.78294
.60666 44
.60456 .78297
.60669 43
.78147
.60460
.78299
.60673 42
.60463 .78302
.60676 41
.60467 9.78305
.60680 40
.60470
.78307
.60684 39
.60260 .78157
.60474
.78310
.60687 38
.78159
9.78162
.60477 .78312
.60691 37
.60481 9.78315
.60694 36
.78164
.60484 .78317
.60698 35
.60488 .78320
.60701 34
.60492 .78322
.60705 33
.602829.78172
.604959.78325
.60708 32
.60712 | 31
.60715 30
.60719 29
.6072328
.60726 27

.605249.78345
.78044
.60527 .78348
.60531 .78350
.60730 | 26
.60733 | 25
.60737 24
.60740 23
:
.60744 22
.78047
.60321 .78200
.60534 .78353 .60747 21
+109.77741
41
42
43
.59897 9.77895 .60111
.77743 .59901 .77898 .60114 .78052
.77746 .59904 .77900 .60118 .78054
.77748 .59908 .77903 .60122 .78057
9.78049
.60324 9.78203
.60328 .78205
.60332 .78208
.60335 .78210
.605389.78355
.60751 20
.60541 .78358
.60545
.60548 .78363
.60755 19
.78360
.60758 18
.60762 17
45
46
47
.60129 .78062
.60132 .78065
.60136 .78067
.601399.78070
49
50
51
53
54
55
57
58
59
+119.77751 .599119.77906 .601259.78060
.77754 .59915 .77908
.77756 .59919 .77911
.77759 .59922 .77913
129.77761
139.77772
.603399.78213
.60342 .78215
.60346 .78218
.60349 .78221
.603539.78223
.59926 9.77916
.77764 .59929 .77918 .60143 .78072 .60356 .78226
.77766 .59933 .77921 .60146 .78075 .60360 .78228 .60573 .78381
.77769 .59936 .77924 .60150 .78077 .60364 .78231 .60577 .78383 .60790 9
.59940 9.77926 .60154 9.78080 .60367 9.78233 .60580 9.78386 .60794
.77774 .59943 .77929 .60157 .78083 .60371 .78236 .60584 .78388 .60797 7
.77777 .59947 .77931 .60161 .78085 .60374 .78238 .60588 .78391 .60801
.77779 .59951 .77934 .60164 .78088 .60378 .78241 .60591 .78393 .60804 5
+149.77782 .59954 9.77936 .60168 9.78090
.60808
.77785 .59958 .77939 .60171 .78093 .60385 .78246 .60598 .78398 .60811
.77787 .59961 .77942 .60175 .78095 .60388 .78249 .60602 .78401 .60815
.77790 .59965 .77944 .60179 .78098 .60392 .78251 .60605 .78404 .60818
159.77792 .59968 9.77947
.60396 9.78254 .606099.78406 .60822
.601829.78101
.605959.78396
0
.605529.78365
.60765 16
.60556 .78368
.60559
.60563 .78373
.60566 9.78376
.60769 15
.78371
.60772 14
.60776 18
.60779 12
.60570 .78378
.60783 11
.60786 10
.603819.78243
∞2644324d
8
17h 14m
17h 10m
17h 13m
17h 11m
17h 12m

Page 126]
TABLE IV.
6h 50m 102° 30' 6h 51m 102° 45′
S
0
9.78406
.61035 9.78709
Haversines.
6h 52m 103° 0' 6h 53m 103° 15'
6h 54m 103° 30′
Log. Hav. Nat. Hav. Hav.Log. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
.60822 9.78558
S
1
.78409 .60825 .78560
.61038
.78711
2
.78411 .60829 .78563
.61042
.78714
3
+
1'
.78414
9.78416
.60833
.78565
.61046
.78716
.60836 9.78568
.61049
9.78719
.612489.78859 .61460 9.79009
.61251 .78862 .61464 .79011
.61255 .78864
.61258 .78867
.61262 9.78869
.61672 60
.61676 | 59
.61467 .79014
.61471 .79016
.61474 9.79019
.61679 58
.61683 57
.61686 56
667
5
.78419
.60840 .78570 .61053
.78721
.78421
.60843 .78573 .61056
.78724
.78424
.60847 .78575
.61060 .78726
+
9
2/
9.78426
.60850 9.78578
.610639.78729
.78429
10
.78431
.60854 .78581
.60857 .78583
.61067 .78731
.61070
11
.78434
.60861 .78586
.61074 .78737
.61265 .78872
.61269 .78874 .61481 .79024
.61272 .78877
.61276 9.78879
.61279 .78882
.78734 .61283 .78884
.61287 .78887
.61478 .79021
.61690 55
.61693 54
.61485 .79026
.61697 53
.614889.79029
.61701 52
.61492 .79031
.61495
.61499 .79036
.61704 51
.79034
.61708 50
.61711 49
+
39.78436
.60865 9.78588
.610779.78739
13
14
15
+
17
.78449
18
.78452
19
.78454
+
5'
9.78457
.608939.78608
21
.78459
22
.78462
.60897 .78611
.60900 .78613
23
.78464
.60904 .78616
+
69.78467
.60907 9.78618
.611209.78769
25
.78469
26
.78472
27
.78474
.60911 .78621
.60914 .78623
.60918 .78626
+
7/9.78477 .609219.78628
29
.78479
30
.78482
31
.78485
.60925 .78631
.60928 .78633
.60932 .78636
+ 8'
9.78487
33
.78490
34
.78492
35
.78495
.60946 .78646
+
9
37
9.78497 .60950 9.78649
.78500 .60953 .78651
38
.78502
39
.78505
+10
9.78507
.611779.78809
41
42
43
.78515
+ 119.78517
45
.78520
46
.78522
47
.78525
+12
9.78528
49
50
51
.78533
.78535
+ 139.78538
.612199.78839
53
54
55
+149.78548
57
58
59
+159.78558
.610359.78709
.78704 .61240
.78706 .61244
.61248
.78439 .60868 .78591 .61081 .78742
.78442 .60872 .78593 .61085 .78744
.78444 .60875 .78596 .61088 .78747
49.78447 .60879 9.78598 .61092 9.78749
.60882 .78601 .61095 .78752 .61308 .78902
.60886 .78603 .61099 .78754 .61311 .78904
.60889 .78606 .61102 .78757 .61315 .78907
.61106 | 9.78759 .61318 9.78909
.61109 .78762 .61322 .78912
.61113 .78764 .61325 .78914
.61116 .78767 .61329 .78917
.61333 9.78919
.61124 .78772 .61336 .78922
.61127 .78774 .61340 .78924
.61131 .78777 .61343 .78927
.61134 9.78779 .61347 9.78929
.61138 .78782 .61350 .78932
.61141 .78784 .61354 .78934
.61145 .78787 .61357 .78937
.60936 9.78638 .61148 9.78789
.60939 .78641 .61152 .78792 .61364 .78942
.60943 .78643 .61155 .78794 .61368 .78944
.61159 .78797 .61372 .78947
.61163 9.78799 .61375 9.78949 .61587 9.79099
.61166 .78802 .61379 .78952 .61591 .79101
.60957 .78654 .61170 .78804 .61382 .78954 .61594 .79103
.60960 .78656 .61173 .78807 .61386 .78957 .61598
.60964 9.78659
.61602 | 9.79108
.78510 .60967 .78661 .61180 .78812
.78512 .60971 .78664 .61184 .78814
.60975 .78666 .61187 .78817
.60978 9.78669 .61191 9.78819
.60982 .78671 .61194 .78822
.60985 .78674 .61198 .78824 .61410
.60989 .78676 .61201 .78827 .61414
.60992 9.78679 .61205 9.78829
.78530 .60996 .78681 .61209 .78832
.60999 .78684 .61212 .78834
.61003 .78686 .61216 .78837
.61007 9.78689
.78540 .61010 .78691
.78543 .61014 .78694
.78545 .61017 .78696
.61021 9.78699
.78550 .61024 .78701
.78553 .61028
.78555 .61032
.61290 9.78889
.61294 .78892
.61297 .78894
.61301 .78897
.615029.79039
.61715 48
.61506 .79041
.61510
.61718 47
.79044
.61722 46
.61513 .79046
.61725 45
.613049.78899
.615179.79049
.61729 44
.61520 .79051
.61524 .79054
.61732 43
.61736 42
.61527 .79056 .61739 41
.61531 9.79059
.61743 40
.61534 .79061
.61747 39
.61538 .79064
.61541
.61545 9.79069
.61548 .79071
.61750 38
.79066 .61754 37
.6175736
.61761 35
.61552 .79074
.61764 34
.61556 .79076
.61768 33
.61559 | 9.79079
.61771 32
.61563 .79081
.61566
.61570 .79086
.61775 31
.79084
.61778 30
.61782 29
.613619.78939
.615739.79089
.61785 28
.61577 .79091
.61789 27

.61580 .79094
.61792 26
.61584 .79096
.61796 25
.61800 24
.6180328
.61807 | 22
.79106
.61810 21
.61389 9.78959
.61814 20
.61393
.78962
.61605 .79111
.61817 19
.61396
.78964
.61609 .79113
.61821 18
.61400
.78967
.61612
.79116
.61824 17
.61403 9.78969
.61616 9.79118 ..61828 16
.61407
.78972
.61619
.79121
.61831 15
.78974
.61623 .79123
.61835 14
.78977
.61626 .79126
.61838 13
.61418 9.78979
.61421
.61425 .78984
.61428 .78987
.616309.79128
.61842 12
.61633
.78982
.79131
.61845 11
.61637
.79133
.61849 10
.61640
.79136
.61853 9
.614329.78989
.61644 9.79138 .61856 8
.61223 .78842 .61435 .78992 .61648 .79141 .61860
.61226 .78844 .61439 .78994 .61651 .79143 .61863
.61230 .78847 .61442 .78997 .61655 .79146 .61867 5
.61233 9.78849 .61446 9.78999 .61658 9.79148
.61237 .78852 .61449
.61662
.79002
.78854 .61453
.61665
.79004
.78857 .61456 .79007 .61669 .79156 .61881
9.78859 .61460 9.79009 .61672 9.79158 .61884
.61870
.79151
.61874
.79153
.61877
7664321
0
17h gm
17h 5m
17h 8m
17h 6m
17h 7m

TABLE IV.
[Page 127
Haversines.
6h 55m 103° 45′
6h 56m 104° 0′
6h 57m 104° 15'
6h 58m 104° 30' 6h 59m 104° 45'
S
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
0
1
9.79158 .61884
.79161 .61888
9.79306 .62096
.79309 .62100
9.79454
.79457
2
3
+
567
.79163 .61891
.79165 .61895 .79314
19.79168 .61898 9.79316
.79170 .61902 .79319
.79311
.62103 .79459
.62107 .79462
.62110 9.79464
.62114 .79466
.79173
.61905 .79321
.62117
.79469
.62308
.62311
.62315 .79606
.62318 .79609
.62322 9.79611
.62325 .79613
.62329 .79616
9.79601
.79604
.62519
.62522
9.79748
.62730 60
.79750
.62734 59
.62526 .79752
.62530 .79755
.62737 | 58
.62741 5'7
.625339.79757
.62744 56
.62537 .79760
.62748 55
.62540 .79762
.62751 54
.79175
.61909 .79324
.62121
.79471
.62332 .79618
.62544 .79765
.62755 | 53
+
29.79178
.619139.79326
.62124
9.79474
.62336 | 9.79621
.62547 9.79767
.62758 52
9
.79180
.61916 .79329
.62128
.79476
.62339 .79623
10
.79183
.61920
11
.79185
.61923
.79331
.79334
.62131 .79479
.62135 .79481
+
39.79188
.61927 | 9.79336
.621389.79484
13
.79190
.61930
.79339
.62142 .79486
14
.79193
.61934
15
.79195
.61937
+
49.79198
17
18
19
.79341 .62145
.79343 .62149 .79491
.61941 9.79346 62153 9.79493
.79200 .61944 .79348 .62156 .79496
.79203 .61948 .79351 .62160 .79498
.79205 .61951 .79353 .62163 .79501
.79489
.62343 .79626
.62346 .79628
.62350 9.79631
.62353 .79633
.62357 .79635
.62361 .79638
.62551
.62554
.79770
.62762 51
.79772
.62765 50
.62558 .79774
.62769 49
.62561 9.79777
.62772 48
.62565 .79779
.62776 47
.62568 .79782
.62572 .79784
.62779 46
.62783 45
.623649.79640
.62575 9.79787
.62786 44
+59.79208
.621679.79503
21
22
23
+
.62368 .79643
.62371 .79645 .62582
.62375 .79648 .62586
.61955 9.79356
.62378 9.79650 .62589 9.79796
.79210 .61958 .79358 .62170 .79506 .62382 .79653 .62593 .79799
.79213 .61962 .79361 .62174 .79508 .62385 .79655 .62596 .79801
.79215 .61966 .79363 .62177 .79511 62389 .79657 .62600 .79804
69.79217 .61969 9.79366 .62181 9.79513-
.62579 .79789
.62790 43
.79791
.79794
.62793! 42
.62797 41
.62800 40
.62804 39
.6280738
.62811 37
.623929.79660
.626039.79806
.62814 36
25
26
LO CO
27
+
.79225 .61980
/9.79227
29
30
.79232
31
.79235
+
8'
.619979.79385
33
34
35
+
9/9.79247
37
38
89
+10
41
42
48
45
46
47
+12
.62248 .79560
.62251 9.79562
.79269 .62043 .79417 62255 .79565
.79272 .62047 .79420 .62258 .79567
.79274 .62050 .79422 .62262 .79569
9.79277
.79220 .61973 .79368
.79222 .61976 .79371
.79373 .62191 .79520 .62403 .79667
.61983 9.79376 .62195 9.79523
.79230 .61987 .79378 .62198 .79525 .62410 .79672
.61990 .79380 .62202 .79528 .62413 .79674
.61994 .79383 .62205 .79530 .62417 .79677
9.79237
.62420 9.79679
.79240 .62001 .79388 .62213 .79535 .62424 .79682
.79242 .62004 .79390 .62216 .79538 .62427 .79684
.79245 .62008 .79393 .62220 .79540 .62431 .79687
.62011 9.79395 62223 9.79542 .624349.79689
.79250 .62015 .79398 .62227 .79545
.79252 .62018 .79400 .62230 .79547
.79255 .62022 .79403 .62234 .79550
9.79257 .62026 9.79405
.79260 .62029 .79407
.79262 .62033 .79410
.79264 .62036 .79412
+119.79267 .62040 9.79415
.62184 .79516 62396 .79662
.62188 .79518 .62399 .79665
.62607 .79808
.62818 35
.62611 .79811
.62822 34
.62614 .79813
.62825 33
.624069.79670
.62618 9.79816
.62829 | 32
.62621 .79818
.62832 31
.622099.79533
62625 .79821
.62628 .79823 .62839
.626329.79825
.62635 .79828 .62846 27
.62836 30
.62843
20/20
29
28

62639 .79830
.62850 26
.62642 .79833
.62853 25
.626469.79835
.62857 24
.62438 .79692
.62442 .79694
.62445 .79696
.62649 .79838
.62860 23
.62653
.62656
.79840
.62864 22
.79842
.62867 21
.622379.79552
.62241 .79555
.62244.79557
.624499.79699
.62660 | 9.79845
.62871 20
.62452 .79701
.62456
.62663
.79847
.62874 19
.79704
.62667
.79850
.62878 18
.62459 .79706
.62670
.79852
.62881 17
.624639.79709
.62674
9.79855
.62885 16
49
.79279
50
51
+139.79287
53
54
55
14
57
58
59
15
.62466 .79711
.62470 .79714
.62473 .79716
.620549.79425 .62265 9.79572
9.79718
.62057 .79427 .62269 .79574 .62480 .79721
.79282 .62061 .79430 .62272 .79577 .62484 .79723
.79284 .62064 .79432 .62276 .79579 .62487 .79726
.62068 9.79434 62279 9.79582 .62491 9.79728
.79289 .62071 .79437 .62283 .79584 .62494 .79731
.79292 .62075 .79439 .62287 .79587 .62498 .79733
.79294 .62078 .79442 .62290 .79589 .62501 .79735
9.79297 .62082 9.79444 .62294 9.79591
.79299 .62086 .79447 .62297 .79594 .62508 .79740
.79301 .62089 .79449 .62301 .79596 .62512 .79743
.79304 .62093 .79452 .62304 .79599 .62515 .79745
9.79306 .62096 9.79454 .62308 9.79601 .62519 9.79748
.62677
.79857
.62888 15
.62681 .79859
.62892 14
.62684 .79862
.62895 18
.62477
626889.79864
.62899 12
.62691 .79867
.62902 | 11
.62695 .79869
.62906 10
.625059.79738
.62698.79872
.62702 9.79874
.62706 .79876
.62709 .79879
.62713 .79881
.627169.79884
.62913 8
.62916
.62920 6
.62720 .79886 .62930 3
.62909 9
.62923 5
.62927
.62723 .79888 .62934
.62727
.62730
.79891 .62937 1
9.79893
.62941 0
17h 4m
17h Om
17h sm
17h 1m
17h 2m

Page 128]
TABLE IV.
Haversines.
S
0
1
2
9.79893 .62941 9.80038
.79896 .62944 .80041
.79898 .62948 .80043
.79901 .62951 .80046
.631529.80183
7h 0m 105° 0'
7h 2m 105° 30' 7h sm 105° 45'
yh 1m 105° 15′
7 h 4m 106° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
.633629.80327
.635729.80470
.63782 60
.63155 .80185
.63159 .80188
.63162 .80190
+
19.79903
.629559.80048
.631669.80192
LO
5
.79905
.62958 .80050
.63169 .80195
6
.79908
.62962 .80053
.63173
.80197
ry
.79910 .62965 .80055
.63176
.80200
+
2
9.79913
.62969 9.80058
.63180
9.80202
.633909.80346
9
10
11
+
.79915 .62973 .80060
.79918 .62976 .80063
.79920 .62980 .80065
39.79922 .62983 9.80067
.63183 .80204
.63393 .80348
.63187 .80207
.63190 .80209
13
14
15
.79925 .62987 .80070
.79927 .62990 .80072
.79930 .62994 .80075
+
49.79932
.629979.80077
.63194 9.80212
.63197 .80214
.63201 .80216
.63204 .80219
.63208 9.80221
.63397 .80351
.63400 .80353
.63404 9.80355
.63407 .80358
.63411 .80360
.63414 .80362
.63365 .80329
.63369 .80331 .63579 .80474
.63372 .80334 .63583
.63376 9.80336 .63586 9.80479
.63379 .80339 .63590
.63383 .80341 .63593
.63386 .80343 .63597
.63600 9.80489
.63604 .80491
.63607 .80494
.63611 .80496
.63576 .80472
.63785 59
.63789 58
.80477
.63792 57
.63796 56
.80482
.63799 55
.80484
.63803 54
.80486
.63806 53
.63810 | 52
.63813 51
.63817❘ 50
.63820 49
.636149.80498
.63824 48
.63618 .80501
.63621
.63625 .80505
.63827 47
.80503
.63831 46
.63834 45
17
.79935
18
.79937
19
+ 5'
.79939
9.79942
21
22
.79944
.79947
23
.79949
+
69.79951
25
.79954
26
.79956
27
.79959
+
9.79961
.630399.80106
29
30
31
.63046 .80111
.63050 .80113
.63001 .80079 .63211 .80224
.63004 .80082 .63215 .80226
.63008 .80084 .63218 .80228
.630119.80087 .63222 9.80231
.63015 .80089 .63225 .80233
.63018 .80091 .63229 .80236
.63022 .80094 .63232 .80238
.63025 | 9.80096 63236 | 9.80240
.63029 .80099 .63239 .80243
.63032 .80101 .63243 .80245
.63036 .80103 .63246 .80248
63250 9.80250
.79964 .63043 .80108 .63253 .80252 .63464 .80396
.79966
.63257 .80255 .63467 .80398
.79968
.63260 .80257 .63471 .80401
.634189.80365
.63421 .80367
.63425 .80370
.63428 .80372
.634329.80374
.636289.80508
.63838 44

.63632 .80510
.63635
.63639 .80515
.63841 43
.80513
.63845 42
.63848 41
.636429.80517
.63852 40
.63435 .80377
.63439 .80379
.63442 .80382
.63646 .80520
.63855 39
.63649
.80522
.63859 38
.63653 .80524
.63862 37
.634469.80384
.636569.80527
.63866 36
.63450 .80386
.63453 .80389
.63457 .80391
.63660 .80529
63869 35
.63663
.80532
.63873 34
.63666
.80534
.63876 33
.634609.80393
.63670 | 9.80536
.63880 32
.63673
.63677
.80539
.63883 31
.80541
.63887 30
.63680 .80543
.63890 29
+
8/9.79971 .630539.80116 .632649.80260
.634749.80403
.636849.80546
.63894 28
33
34
35
.79978
.79973 .63057 .80118
.79976 .63060 .80120
.63064 .80123
.63267 .80262
63271 .80264
.63274 .80267
+
9/9.79980
.630679.80125
.632789.80269
37
38
39
+10
9.79990
41
42
43
+11
9.80000
45
46
47
.63302
.630959.80144 .63306
.80002 .63099 .80147 .63309
.80005
.80007
.79983 .63071 .80128
.79985 .63074 .80130
.79988 .63078 .80132 .63288 .80276
.63081 9.80135
.79993 .63085 .80137
.79995 .63088 .80140
.79997 .63092 .80142
.63281 .80272
.63285 .80274
632929.80279
.63295 .80281
.63299 .80284
.63478 .80405
.63481 .80408
.63485 .80410
.63488 9.80413
63492 .80415
.63495 .80417
.63499 .80420
.63502 9.80422
.63506 .80424
.63509 .80427
.80286 63513 .80429
9.80288 63516 9.80432
.63687 .80548
.63691 .80551
.63694 .80553
.63698 9.80555
.63701 .80558
.63705 .80560
.63708 .80562
63897 27
.63901
26
.63904 | 25
.63908 | 24
63911 23
.63915 22
.63918 21
.637129.80565
63922 | 20
.63715 .80567
.63719 .80570
.63722
.63726 9.80574
.63925 19
63929 18
.80572
.63932 17
.63936 16
.80291
.63520 .80434
.63729 .80577
.63939 15
.63102 .80149 .63313
.80293
.63523 .80436
.63733 .80579
.63943 14
.63106 .80152 .63316
+129.80009 .63109 9.80154
.63320
49
50
.80012 .63113 .80156
.80014 .63116 .80159
.63323
51
.80017 .63120 .80161
+139.80019 .631239.80164 .633349.80307
53
.80022 .63127 .80166
54
55
.80024 .63131 .80168
.80026 .63134 .80171
.63337 .80310
.63341
.63344
.80312
.80315
.80296 .63527 .80439
9.80298 .63530 9.80441
.80300 .63534 .80444
.63327 .80303 .63537 .80446 .63747 .80589
.63330 .80305 63541 .80448 .63750 .80591 .63960 9
63544 9.80451 .63754 9.80593 .63964 8
.63548 .80453 .63757 .80596 .63967
17
.63551 .80455 .63761 .80598 .63971
.63555 .80458 .63764 .80600 .63974
.63736 .80581
.63946 13
.63740 9.80584
.63950 12
.63743 .80586
63953 11
.63957 10
+149.80029 .631389.80173
57
.80031 .63142 .80176
58
.63348 | 9.80317
.63351 .80319
.80322
59
.80034 .63145 .80178 .63355
.80036 .63148 .80180 .63358 .80324 .63569
+159.80038 .63152 9.80183 .633629.80327 .63572
.63768 9.80603 .63977
.63771 .80605 .63981
.80465 .63775 .80607 .63984
.80467 .63778 .80610 .63988 1
9.80470 .63782 9.80612 .63991 0
.63558980460
.63562 .80463
.63565
16h 59m
16h 55m
16h 58m
16h 56m
16h 57m

TABLE IV.
[Page 129
Haversines.
7h 5m 106° 15′
7h 7m 106° 45'
7h 8m 107° 0'
7h gm 107° 15′
7h 6m 106° 30'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
0
1
9.80612 .63991 9.80754
.80615 .63995
+
co 20
3
19.80622
.80617 .63998
.80619 .64002 .80761
.80756 .64204 .80898
.80759 .64208 .80900
.64211 .80902
.640059.80763
.642159.80905
562
+
9
10
11
+ 3'
13
14
15
+
17
18
19
.64058 .80799
+59.80660 .64061 9.80801 .64270 9.80942
.80624 .64009 .80766
.80626 .64012 .80768
.80629 .64016 .80771
29.80631 .64019 9.80773
.80634 .64023 .80775
.64441 .81057
.80636 .64026 .80778
.80919 .64445
.80638 .64030 .80780 .64239 .80921 .64448
9.80641 .64033 9.80782 .64243 9.80923 .64452 9.81064
.80643 .64037 .80785 .64246 .80926 .64455 .81066
.80645 .64040 .80787 .64250 .80928 .64459 81068
.80648 .64044 .80789 .64253 .80930 .64462 .81071
4/9.80650 .64047 9.80792 .64257 9.80933 .64466
.80652 .64051 .80794 .64260 .80935
.80655 .64054 .80796 .64264 .80937
.80657
.64218
.80907
.64222 .80909
.64225 .80912
.64229 | 9.80914
.64232 .80916
.642019.80895 .64410 9.81036 .64619
.64413 .81038 .64622
.64417 .81040 .64626
.64420 .81043
.64424 9.81045
.64427 .81047
.64431 .81050
.64434 .81052
9.81176
.81178
.64827 60
.6483159
.81180
.64834 58
.64629 .81183
.64838 57
.646329.81185
.64841 56
.64636 .81187
.64639 .81190
.64643 .81192
.64844 55
.64848 54
.64851 53
.644389.81054
.646469.81194
.6485552
.64236
.81059
.81061
.64650 .81197
.64653 .81199
.64657 .81201
.6485851
.64862 50
.64865 49
.646609.81204
.64869 48
.64664 .81206
.64872 47
.64667
.81208
.64876 46
.64671 .81211
.64879 45
.81073
.646749.81213
.64883 44
.64469
.81075
.64678 .81215
.64886 43
.64472
.81078
.64681 .81217
.64890 42
.64267 .80940
.64476
.81080
.64479
9.81082
.64685
.64688 9.81222
.81220
.64893 41
.64897 40
21
22
23
.80662 .64065
.80664
.80667
.80804 .64274
.80944
.64483
.81085
.64692 .81224
.64900 39
.64068
.64072
.80806
.80808 .64281
.64277
.80947
.64486
.81087 .64695
.81227
.64903 38
.80949
.64490
+
69.80669 .64075 9.80811 .64284 9.80952
25
26
27
+
7/9.80678
29
30
31
+8' 9.80688
33
34
35
+
9'
9.80697
37
.80700
.64121 .80841
.64330
.80982
38
.80702
39
.80704
.64124 .80844
.64128 .80846 .64337
.64333
.80984
.80987
+ 10
9.80707
41
42
43
45
46
47
+129.80726
49
50
51
.64131 9.80848 .64340 9.80989
.80709 .64135 .80851 .64344 .80991
.80712 .64138 .80853 .64347 .80994
.80714 .64142 .80855 .64351 .80996
+11' 9.80716 .64145 9.80858 .643549.80998
.80719 .64148 .80860 .64358 .81001
.80721 .64152 .80862 .64361 .81003
.80723 .64155 .80865 .64365 :81005
.641599.80867 .64368 9.81008
.80728 .64162 .80869 .64372 .81010
.80730 .64166 .80872 .64375 .81012
.80733 .64169 .80874 .64378 .81015
+13' 9.80735
53
54
55
57
58
.80671 .64079 .80813 .64288 .80954
.80674 .64082 .80815 .64291 .80956
.80676 .64086 .80818 .64295 .80959
.64089 9.80820 .64298 9.80961
.80681 .64093 .80822 .64302 .80963
.80683 .64096 .80825 .64305 .80966 .64514 .81106
.80686 .64100 .80827 .64309 .80968 .64518 .81108
.64103 9.80829 .64312 9.80970 .64521 9.81110
.80690 .64107 .80832 .64316 .80973 .64525 .81113
.80693 .64110 .80834 .64319 .80975 .64528 .81115
.80695 .64114 .80836 .64323 .80977 .64532 .81117 .64740 .81257
.64117 9.80839 .64326 9.80980 .64535 9.81120 .64744 9.81259
.64539 .81122 .64747 .81262
.64542 .81124 .64751 .81264
.64546 .81127 .64754 .81266
.64549 9.81129 .64758 9.81269
.64552 .81131 .64761 .81271
.64556 .81134 .64765 .81273
.64559 .81136 .64768 .81276
.64563 9.81138
|
.64566 .81141 .64775 .81280
.64570 .81143 .64778 .81282
.64573 .81145 .64782 .81285
.64577 9.81148 .64785 9.81287
.64580 .81150 .64789 .81289
.64584 .81152 .64792 .81292
.64587 .81155 .64796 .81294
.64173 9.80876 .64382 9.81017 .64591 9.81157 .64799 9.81296
.80738 .64176 .80879 .64385 .81019 .64594 .81159 .64803
.80740 .64180 .80881 .64389 .81022 .64598 .81162 .64806 .81301 .65014
.80742 .64183 .80883 .64392 .81024 .64601 .81164 .64810 .81303 .65018
+149.80745 .64187 9.80886 .64396 9.81026 .64605 9.81166 .648139.81306 .65021
.80747 .64190 .80888 .64399 .81029 .64608 .81169 .64817 .81308 .65025
.80749 .64194 .80891 .64403 .81031 .64612 .81171 .64820 .81310 .65028 2
59 .80752 .64197 .80893 .64406 .81033 .64615 .81173 .64824 .81313 .65032 1
+15' 9.80754 .64201 9.80895 .64410 9.81036 .64619 9.81176 .64827 9.81315 .65035 0
.81089 .64699
.64493 9.81092 .64702
.64497 .81094 .64705
.64500 .81096 .64709
.64504 .81099
.64507 9.81101
.64511 .81103
.81229
.64907 87
9.81231
.64910 36
.81234
.64914 35
.81236
.64917 34
.64712 .81238
.64921 33
.647169.81241
.64924 32
.64719 .81243
.64928 31
.64723 .81245
.64931 | 30
.64726
.64730
.64733 .81252
.81248
.64935 29
9.81250
.64938 28
.64942 27

.64737 .81255
.64945 26
.64949 25
.64952 24
.64956 23
.64959 22
.64962 21
.64966 20
.64969 19
.64973 18
.64976 17
.64772 9.81278
.64980 16
.64983 15
.64987 14
.64990 13
.64994 12
.64997 11
.65001 10
.65004 9
.65008 8
.81299 .65011 7
65 43 QY
16h 54m
16h 53m
16h 52m
16h 51m
16h 50m
1
63355°—17———————9

Page 130]
TABLE IV.
Haversines.
7h 10m 107° 30'
7h 11m 107° 45'
7h 12m 108° 0'
B
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
7h 13m 108° 15'
Log. Hav. Nat. Hav.
7h 14m 108° 30′
Log. Hav. Nat. Hav.
S
0
9.81315
1
.81317 .65039
2
.81320
3
.81322
+ 19.81324
5
6
27
.65035 9.81454
.81456
.65042 .81458
.65046 .81460
.65049 9.81463
.81326 .65053 .81465
.81329 .65056 .81467
.81331 .65060 .81470
.65243 9.81592
.65247 .81594
.65250 .81596
.65254 .81598
.65451 9.81729
.65454 .81731
.65458 .81733
.65461 .81736
.65658 9.81866
.65662 .81868
.65865 60
.65869 | 59
.65665 .81870
.65872 58
.65668 .81872
.65876 57
.652579.81601
.65465 9.81738 .6567219.81875
.65879 56
.65261 .81603
.65264 .81605
.65267 .81608
.65468
.65472
.65475 .81745
.81740
.81743
.65675 .81877
.6588255
.65679
.81879
.65886 54
.65682 .81882
.65889 53
+ 29.81333
.650639.81472
.652719.81610
.654799.81747
.656869.81884
.65893 52
9
.81336
10
.81338
.65066 .81474
.65070
11
.81340
.65073
.65274 .81612
.81477 .65278 .81614
.81479 .65281 .81617
.65482 .81749
.65485
.65489 .81754
.65689 .81886
.65896! 51
.81752
.65693 .81888
.65696 .81891
.65900 50
.65903 49
+ 3'
9.81343
13
.81345
14
.81347
15
.81350
+
49.81352
17
.81354
18
.81357
19
.81359
.650779.81481 .65285 9.81619
.65080 .81483 .65288 .81621
.65084 .81486 .65292 .81624
.65087 .81488 .65295 .81626
.65091 9.81490 .65299 9.81628
.65094 .81493 .65302 .81631
.65098 .81495 .65306
.81497
.65101
.65492 9.81756
.6570019.81893
.65907 48
.65496 .81759
.65703 .81895
.65910 47
.65499 .81761
.65707
.81897
.65914 46
.65503 .81763
.65710 .81900
.65917 45
.65506 9.81765
.657139.81902
.6592044
.65510
.81768
.65717
.81904
.65924 43
.81633
.65513
.81770
.65720
.81907
.65927 42
.65309
.81635
.65516
.81772
.65724
.81909
.65931 41
+
5'9.81361
.65105 | 9.81500
.65312 9.81637
.655209.81775
.65727 9.81911
.65934 40
21
.81364
.65108
.81502
.65316 .81640
.65523 .81777
.65731 .81913
.65938 | 39
22
.81366
.65112
.81505
.65319
23
.81368
.65115 .81507
.65323
.81642
.81644
.65527 .81779
.65734
.81916
.65941 | 38
.65530
.81781
.65738
.81918
.65944 37
+
6'
9.81370
.651189.81509
.65326 9.81647
.65534
9.81784
.65741 9.81920
.65948 36
25
.81373
.65122 .81511
26
.81375
.65125
27
.81377
+
79.81380
29
.81382
.65136
.65330 .81649
.81513 .65333 .81651
.65129 .81516 .65337 .81653
.65132 9.81518 .65340 9.81656
.65344
.81520
.65537
.81786
.65744 .81922
.65951 35
.65541 .81788
.65544 .81791
.65748
.65751
.81925
.65955 34
.81927
.65958 33
.655489.81793
.65755 9.81929
.65962| 32
.81658
30
.81384
31
.81387
.65347
.65139 .81523
.65143 .81525 .65351
.81660
.81663
.81795
.65551
.65758
.65555 .81797 .65762
.65558 .81800 .65765
.81931
.65965 | 31
.81934
.65969 | 30
.81936
.65972 29
+
8'
9.81389
.65146 9.81527
.65354
9.81665
.65561 9.81802
.65769 9.81938
.65976 28
33
.81391
.65150
.81530
.65357
.81667
.65565
.81804
.65772
.81941
.65979 27

34
.81394
.65153 .81532
.65361
.81669
.65568
.81806
.65776 .81943
.65982 26
85
.81396
+
99.81398
.65157
.65160 9.81536
.81534
.65364 .81672
.65572
.81809
.653689.81674
.65575 9.81811
.65779
.65782 9.81947
.81945
.65986 25
.65989 24
37
.81400
.65164
.81539
38
.81403
.65167
.81541
39
.81405
.65171
.81543
.81676
.65372
.65375 .81679
.81681
.65378
.65579
.81813
.65786
.81950
.6599323
.65582 .81816
.65586 .81818
.65789
.81952
.65996 22
.65793
.81954
.66000 21
+10
9.81407
.65174 9.81546
.65382
9.81683
.65589 9.81820
.65796 9.81956
.660031 20
41
.81410
.65177
.81548
.65385
.81685
.65593
42
.81412
.65181
.81550 .65389
.81688
.65596
.81822 .65800
.81825 .65803
.81959
.66006 19
.81961
.66010 18
43
.81414
.65184
.81552 .65392
.81690
.65599
.81827
.65807 .81963
66013 | 17
+11' 9.81417
.65188 9.81555
.65396 9.81692
.65603
.81829
.65810 9.81965
.66017 16
45
.81419
.65191
.81557
.65399
.81695
.65606
.81832
.65813
.81968
66020 15
46
.81421
.65195 .81559
.65402
.81697
.65610 .81834
.65817
.81970
.66024 14
47
.81424
.65198
.81562
.65406
.81699
.65613 .81836
.65820
.81972
.66027 18
+12
9.81426 .65202
9.81564
.65409
9.81701
.656179.81838
.65824 9.81975
.66031 12
49
.81428
.65205
.81566
.65413
.81704
.65620
.81841
.65827
.81977
.66034 11
50
.81430
.65209
.81569
.65416
.81706
.65624
.81843
.65831
.81979
.66038! 10
51
.81433
.65212
.81571
.65420
.81708
.65627
.81845 .65834
.81981
..66041 9
+139.81435
.652169.81573
.65423
9.81711
.65630 9.81847
.66044
.65838 9.81984
8
53
.81437
.65219
.81575 .65427
.81713 .65634
.81850
.65841
.81986
.66048
7
54
81440
.65222
55
.81442
.65226
.81578 .65430
.81580
.81715
.65637
.81852
.65845
.81988
.66051
6
.65434
.81717
.65641
.81854
.65848
.81990
.66055 5
+ 14'
9.81444
57
.81447
.81585
.65233
.65440
58
.81449 .65236
.81587
.65444
59
.81451 .65240
.81589
.65447
+15
9.81454
.65243 9.81592
.652299.81582 .65437 9.81720
.55648
.81722
.65651
.81724
.65655
.81727
.65658
.656449.81857 .65851 9.81993
.66058
4
.81859
.65855
.654519.81729
.81861 .65858
.81863 .65862
.66072
.65865 9.82002
9.81866
.81995
.81997
.66068
.81999
.66062
3
.66065
2
1
0
16h 49m
16h 45m
16h 48m
16h 46m
16h 47m

TABLE IV.
[Page 131
က
Haversines.
7h 15m 108° 45′
7h 16m 109° 0'
7h 17m 109° 15'
yh 18m 109° 30' 7h 19m 109° 45'
Log. Hav. Nat. Ilav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Ilav. Nat. IIav.
.66896 | 60
0
1
2
3
9.82002
.82004
.82006 .66079 .82142
.82009 .66082 .82144
.66072 9.82137
.66075 .82139
.66278
.66282
9.82272 .66485
.82274 .66488
9.82406
.66690 9.82540
.82409
.66694 .82542
.66899 | 59
.66285 .82277
.66289 .82279
.66491 .82411
.66495 .82413
+
19.82011
.66086 | 9.82146
.66292 | 9.82281
.664989.82415
+
567
.82013 .66089
.82148
.66296
.82283
.66502 .82417
.66707
.66697 .82544
.66701 .82547
.66704 9.82549
.82551
.66903 58
.66906 57
.6691056
.6691355
.82015 .66093
.82151
.66299
.82286
.82018 .66096 .82153
.66302 .82288
.66505 .82420
.66508 .82422
.66711
.82553
.66916 | 54
2/19.82020
.66100 | 9.82.155
.66306|9.82290
.665129.82424
9
.82022
.66103 .82157
.66309 .82292
.66515 .82426
.66714
.66718 9.82558
.66721 .82560
.82555
.66920 53
.6692352
.66927 | 51
10
.82024
.66106
.82160
.66313
.82294
.66519 .82429
.66725 .82562
.66930 | 50
11
.82027
.66110 .82162
.66316
.82297
.66522 .82431
.66728 .82564
.66933 49
+
39.82029
.661139.82164
.66320 | 9.82299
.66526 | 9.82433
.66731 | 9.82567
.66937 48
13
.82031
.66117 .82166 .66323
.82301
14
.82033
15
.82036
.66120 .82169
.66124 .82171
.66327
.82303
.66330 .82306
.66529 .82435
.66533 .82438
.66536 .82440
.66735
.66738
.82569
.66940 47
.82571
.66944 46
.66742 .82573
.6694745
+
49.82038
.66127 9.82173
.663339.82308
.665399.82442
.667459.82575
.66951 44
17
.82040
18
19
+
21
22
23
+
69.82056
25
.82058
26
27
+
9.82065
5'9.82047 .66141 9.82182
.82049 .66144 .82184
.82051 .66148 .82187
.82054 .66151 .82189
.66155 9.82191
.66158 .82193
.82061 .66161 .821.96
.82063 .66165 .82198
.66168 9.82200
.66351
.66130 .82175 .66337 .82310 .66543 .82444
.82042 .66134 .82178 .66340 .82312 .66546 .82446 .66752
.82045 .66137 .82180 .66344 .82315 .66550 .82449 .66755
.66347 9.82317 .66553 9.82451 .66759 9.82584
.82319 .66557 .82453
.66749 .82578
.66954 43
.82580
.66957 42
.82582
.66961 41
.66964 40
.66762 .82587
.66968 39
.66354 .82321
.66357 .82324
.66560 .82455
.66563 .82458
.66766 .82589
.66971 38
.66769 .82591
.66975 87
.66361 | 9.82326
.665679.82460
.667739.82593
.66978 36
.66364
.66368
.66371 .82333
.82328
.66570 .82462
.66776 .82595
.66981 85
.82330
.66574
.66577
.82464 .66779
.82467 .66783
.82598
.66985 34
.82600
.66988 33
29
.82067 .66172 .82202
30
81
.82070 .66175 .82205
.82072 .66179
.82207
.66385
.66375 | 9.82335
.66378 .82337
.66382 .82339
.82341
.66581
+
89.82074 .66182 9.82209
33
34
35
+
99.82083
9.82344
.82076 .66186 .82211
.82346
.82079 .66189 .82214 .66395 .82348
.82081 .66192 .82216 .66399 .82350
.66196 9.82218 .66402 9.82353
.66388
.66392
37
38
89
+10
.82088
.82090
9.82092
.82085 .66199 .82220 .66406 .82355
.66203 .82223 .66409 .82357
.66206 .82225 .66412 .82359
.66210 9.82227
9.82469 .66786
.66584 .82471
.66587 .82473
.66591 .82475
.66594 9.82478
.66598 .82480
.66601 .82482
.66605 .82484
.66608 9.82487
.66611 .82489
9.82602
.66992 | 32
.66790 .82604
.66995 31
.66793 .82606
.66998 30
.66797.82609
.66800 9.82611
.67002 29
.67005 28
.66803 .82613
.67009 27

.66807
.66810 .82618
.8261.5
.67012 26
.67016 25
.668149.82620
.67019 24
.66817 .82622
.67022 23
.664169.82362
41
.82094 .66213 .82229 .66419 .82364
42
.82097 .66217 .82232
43
.82099 .66220
.82234
+11
9.82101
.662239.82236
45
.82103 .66227
\ •66426
.66423 .82366
.66615 .82491
.66618 .82493
.66622 | 9.82495
.66625 .82498
.66629
.66821
.82624
.67026 22
.66824 .82627
.67029 21
.668279.82629
.67033 20
.66831 .82631
.67036 19
.82500
.66834
.82633
.67039 18
.82368
.66632 .82502
.66838
.82635
.67043 17
.82238
.66430
,66433
9.82371
.66635 | 9.82504
.66841
9.82638
.67046 16
.82373
.66639 .82507
.66844
.82640
.67050 15
46
.82106 .66230 .82241 .66436
47
+12
9.82110
49
.82112
50
.82115
.82375
.82108 .66234 .82243 .66440 .82377
.66237 9.82245 .66443 9.82380
.66241 .82247 .66447 .82382
.66244 .82250 .66450
.66642
.82509
.66848 .82642
.67053 14
.66646 .82511
.66851 .82644
.67057 13
.666499.82513
.66855 9.82646
.67060 | 12
.66653 .82515
.66858 .82649
.67063 11
.82384
.66656
51
.82117
.66247 .82252 .66454
.82386
.66659
53
54
55
+149.82128
57
.82130
58
.82133
59
+15
.82135
9.82137
139.82119 .66251 9.82254 .66457 9.82388
.82121 .66254 .82256 .66460 .82391
.82124 .66258 .82259 .66464 .82393
.82126 .66261 .82261 .66467 .82395
.66265 9.82263 .66471 9.82397
.66268 .82265 .66474 .82400
.66272 .82268 .66478 .82402
.66275 .82270 .66481 .82404
.66278 9.82272 .66485 9.82406 .66690 9.82540 .66896 9.82673 .67101 0
.82518
.82520
.66663 | 9.82522
.66666 .82524 .66872 .82657 .67077
.66670 .82527 .66875 .82660 .67081
.66673 .82529 .66879 .82662 .67084 5
.66677 9.82531 .66882 9.82664 .67087 4
.66680 .82533 .66886 .82666 .67091 8
.66683 .82535 .66889 .82668 .67094 2
.66687 .82538 .66892 .82671 .67098 1
.66862 .82651
.66865 .82653 .67070 9
.67067 10
.668689.82655
.67074
∞ 264
8
16h 44m
16h 40m
16h 48m
16h 41m
16h 42m

Page 132]
TABLE IV.
Haversines.
7h 20m 110° 0'
7h 21m 110° 15'
7h 22m 110° 30'
7h 23m 110° 45′
7h 24m 111° 0′
S
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
0
9.82673
.671019.82805
.67306 9.82937
.67510 9.83068
.677159.83199
.67918 60
1
2
3
+
567
.82675 .67104 .82807
.82677 .67108
.82680 .67111 .82812
19.82682 .67115 9.82814
.82684 .67118 .82816
.82686 .67122 .82818
.82688 .67125 .82821
.67309 .82939
.82810
.67313 .82941
.67316 .82944
.67320 9.82946
.67323 .82948
.67326 .82950
.67330 .82952
+
29.82691
.671289.82823
.673339.82955
9
.82693
10
.82695
11
.82697
.67135
.67139
+
39.82699
13
.82702
14
15
.67132 .82825 .67337 .82957
.82827 .67340 .82959
.82829 .67343 .82961
.67142 9.82832 .67347 9.82963
.67145 .82834 .67350 .82966
.82704 .67149 .82836 .67354 .82968
.82706 .67152 .82838 .67357 .82970
.67541 .83088
.67544
.83090 .67749
.67514 .83070
.67517 .83073
.67521 .83075
.675249.83077
.67527 .83079
.67531 .83081
.67534 .83083
.675389.83086
.67718 .83201
.67721
.67725 .83205
.677289.83207
.67732 .83210 .67935 55
.67735 .83212
.67738 .83214
.67742 9.83216
.67745 .83218
.83220
.67922 59
.83203
.67925 58
.67929 57
.67932 56
.67939 54
.67942 53
.67946 52
.67949 51
.67952 50
.67548 .83092
.67752 .83223
.67956 49
.675519.83094
.67755 9.83225
.67959 48
.67555 .83097
.67759 .83227
.67963 47
.67558 .83099
.67561 .83101
.67762 .83229
.67966 46
.67766 .83231
.67969 45
+
4'
17
18
19
9.82708
.82710 .67159 .82843
.82713 .67163 .82845
.82715 .67166 .82847
.671569.82840
.673609.82972
.67565 9.83103
.677699.83233
.67973 44
.67364 .82974
.67367 .82976
.67371 .82979
.67568 .83105
.67572 .83107
.67575 .83110
.67772 .83236
.67976 43
.67776
.67779
.83238
.67979 42
.83240
.67983 41
+
5' 19.82717
.67169 9.82849
.673749.82981
.675789.83112
.677839.83242
.67986 40
21
.82719
.67173 .82851
22
.82722
.67176 .82854
23
.82724
.67180 .82856
.67377 .82983
.67381
.67384 .82987
.82985
.67582 .83114
.67585 .83116
.67589 .83118
.67786
.83244
.67990 39

.67789
.83246
.67993 38
.67793
.83249
.67996 37
+
69.82726
.67183 9.82858
.673889.82990
.67592 9.83120
.67796
9.83251
.68000 36
25
.67186
.82728
.82860
.67391 .82992
.67595 .83123
.67800
.83253
.68003 35
26
.82730 .67190
.82862
.67395
27
.82733
.67193
.82865
+
79.82735
.671979.82867
29
.82737
.67200 .82869
30
.82739
.67203
31
.82741
.67207
.82871 .67408
.82873 .67412
+
8'
9.82744
.67210 9.82876
33
35
+
$3 $363ཤྩ
.82746
.67214
.82878
34
.82748
.67217
.82880
.82750 .67221
.82882
.82994 .67599 .83125
.67398 .82996 .67602
.67401 9.82998
.67405 .83001
.83003 .67613 .83134
.83005 .67616 .83136
.67415 9.83007
.67418 .83009 .67623 .83140
.67422 .83011 .67626
.67425 .83014
.67803
.83255
.68007 34
.83127 .67806
.83257
.68010 33
.67606 9.83129
.67810
9.83259
.68013 32
.67609 .83131
.67813 .83262
.68017 31
.67817
.83264
.68020 30
.67820
.83266
.68024 29
.67619 9.83138
.67823 9.83268
.68027 28
.67827
.83270
.68030 27
.83142
.67630 .83144
.67830
.83272
.68034 26
.67834
.83275
.68037 25
99.82752
.67224 9.82884
.674299.83016
.67633 9.83147
.67837 9.83277
.68041 24
37
38
39
+10
9.82761
41
.82763
42
.82766
.82755 .67227 .82887
.82757 .67231 .82889
.67234
.82759
.82891
.67238 9.82893 .67442
.67241
.82898
.67244
.67432 .83018
.67435
.67439
.83020
.83022
9.83025
.67636 .83149 .67840
.67640 .83151 .67844
.67643 .83153 .67847
.67647 9.83155 .67850 9.83285
.83279
.68044 23
.83281
.68047 22
.83283
.68051 21
.68054 20
.82895 .67446
.83027
.67650 .83157
.67854 .83288
.68058 19
.67449
.83029
.67653
.83160
.67857
.83290
.68061 18
43
.82768 .67248 .82900 .67452
.83031
.67657
.83162
.67861 .83292
.68064 17
+11'9.82770
.67251 9.82902 .67456
9.83033
.67660 9.83164
.67864 9.83294
.68068 16
45
.82772 .67255
.82904
.67459
,83035
46
47
.82774
.82777
.67258
.67261 .82909
.82906
.67463
.83038
.67466
.83040
.67664 .83166
.83168
.67667
.83170
.67670
+129.82779
.672659.82911 .67469 9.83042 .67674 9.83173
.67868
.67871 .83298
.67874
.67878 9.83303
.83296
.68071 15
.68074 14
.83301
.68078 13
.68081 12
49
50
51
+13'
9.82788
.82913
.67268
.82781
.67473
.82783 .67272 .82915 .67476
.67480
.67275 .82917
.82785
.67279 9.82920
53
.82790
.67282
.82922
54
.82792
.67285
.82924
55
.82794
.67289
.82926
.67493
+14' 9.82796
.67292 9.82928
.67497
9.83059
.83044 .67677 .83175
.67681
.83046
.83049 .67684
.67888
.67687 9.83181
.67483 9.83051
.67891 9.83311
.67487
.67691 .83184 .67895
.83053
.83314
.67694
.67490 .83055
.67898
.83186
.83316
.67698 .83188 .67901 .83318
.83057
.67701 9.83190
.67881 .83305
.68085 11
.83177
.67884
.83307
.68088 10
.83179
.83309
.68091
9
57
.82799 .67296
.82930
.67500
.83062
.67704
.83192
58
.82801
.67299
.82933
.67504
.83064
.67708
.83194
59
.82803
+15' 9.82805
.67302
.67306 9.82937
.82935 .67507
.67510
.83066
9.83068
.67711 .83197
.67715 9.83199
.67905 9.83320
.83322
.67908
.67912 .83324
.67915 .83327
.67918 | 9.83329
.68095 8
ry
.68098
.68102 6
.68105
.68108
5
4
.68112 3
.68115 2
.68119
.68122
1
0
16h 39m
16h 35m
16h 38m
16h 36m
16h 37m

TABLE IV.
[Page 133
Haversines.
7h 25m 111° 15'
S
7h 26m 111° 30' 7h 27m 111° 45'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
7h 28m 112° 0' 7h 29m 112° 15'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
0
1
9.83329 .68122 9.83458
.83331 .68125
.683259.83587
.68528 9.83715
.687309.83842
.68932 60
.83460
G
2
.83333 .68129 .83462
3
.83335
.68132 .83464
68328
.68332 .83591
.68335 .83593
.83589
.68531 .83717
.68734 .83844
.68936 59
.68535 .83719
.68538 .83721
+
19.83337
.681359.83467
667
5
.83339
.83342
.83344
.68139 .83469
.68142 .83471
.68146 .83473
683399.83595
.68342 .83597
.68345 .83600
.68349 .83602
.685419.83723
+
29.83346
.68149 9.83475
.683529.83604
.68545 .83725
.68548 .83728
.68552 .83730
.68555 9.83732
.68737 .83847
.68740 .83849
.68744 9.83851
.68747 .83853
.68751 .83855
.68939 58
.68943 57
.68946 56
.68949 55
.68953 54
.68754 .83857
.68956 53
.687579.83859
.68959 52
9
10
11
+
.83348 .68152 .83477
.83350 .68156 .83480
.83352 .68159 .83482
39.83355
.68356 .83606
.68558
.68359 .83608
.68362
.83610
.83734
.68562 .83736
.68565 .83738
.68761 .83861
.68963 51
.68764
.68767 .83866
.83864
.68966 50
.68969 49
.681639.83484
.68366
13
.83357
.68166 .83486
14
.83359
15
.83361
+
49.83363 .681769.83492
17
.83365
18
.83368
.68369
.68169 .83488 .68372 .83617
.68173 .83490 .68376 .83619
.68379 9.83621
.68180 .83495 .68383 .83623
.68183 .83497 .68386 .83625
9.83612
.83615
.685689.83740
.687719.83868
.68973 48
.68572 .83743
.68575 .83745
.68579
.68582 9.83749
.68774 .83870
.68976 47
.68778 .83872
.68980 46
.83747
.68781 .83874
.68983 45
.68784 9.83876
.68986 44
.68585
.83751
.68788
.83878
.68990 43
.68589
.83753
.68791 .83881
.68993 42
19
.83370
.68186 .83499
.68389 .83627
.68592
.83755
.68794 .83883
.68996 41
+
5'9.83372
22
21
.83374
.68193 .83503
22
.83376
.68196 .83505
23
.83378
.68200 .83507
+
69.83380 .682039.83510
.681909.83501 683939.83630
68396 .83632
.68399 .83634
.68403 .83636
.68406 9.83638
.68595 9.83757
.687989.83885
.69000 40
.68599 .83760
.68602 .83762
.68606 .83764
.686099.83766
25
.83383
26
27
+
9.83389
29
.83391
30
.83393
31
.83396
.68207 .83512 .68410 .83640 .68612 .83768
.83385 .68210 .83514 .68413 .83642 .68616
.83387 .68213 .83516 .68416 .83644 .68619
.68217| 9.83518 .68420 9.83647 .68622
.68220 .83520 .68423 .83649 .68626
.68224 .83522 .68427 .83651 .68629 .83779
.68227 .83525 .68430 .83653 .68633 .83781
.68801 .83887
.68804 .83889
.68808 .83891
.68811 9.83893
.68815 .83895
.69003 39
.69006 38
.69010 37
.6901336
.69017 35
.83770
.83772 .68821 .83900
9.83774
.68818 .83897
.69020 34
.69023 33
.68825 9.83902
.69027 32
.83777
.68828 .83904
.69030 31
.68831 .83906
.69033 30
1
.68835 .83908
.69037 29
+
89.83398 .68230 9.83527 .684339.83655
.686369.83783
.68838 9.83910
.69040 28
33
34
35
+
99.83406 .68244 9.83535
.83400 .68234 .83529
.83402 .68237 .83531 .68440 .83659
.83404 .68240 .83533 .68443 .83662
.68447 9.83664
.68437 .83657
.68639 .83785
.68842 .83912

.69044 27
37
38
39
.68457
+109.83415
.68460
41
42
43
.83419
.83421
+ 119.83424
45
.83426
46
47
.83428
.83430
+129.83432
49
50
.68274 83555
.68278 .83557
.68281 .83559
.68284 9.83561
.83434 .68288 .83563
.83436 .68291 .83565
.83409 .68247 .83537 .68450 .83666
.83411 .68251 .83540 .68454 .83668
.83413 .68254 .83542
.68257 9.83544
.83417 .68261 .83546
.68264 .83548
.68268 .83550 .68470 .83679 .68673 .83806
.68271 9.83552 .68474 9.83681 .68676 9.83808
.68477 .83683 .68680 .83811
.68481 .83685 .68683 .83813
.68484 .83687 .68687 .83815
.68487 9.83689 .68690 9.83817
.68491 .83691 .68693 .83819
.83670
9.83672
.68464
.68467 .83676
.83674
.68643 .83787
.68646
.68649 9.83791
.68653 .83794
.68656 .83796
.68660 .83798
.68663 9.83800
.68666 .83802
.68670 .83804
.68845 .83914
.69047 26
.83789
.68848 .83916
.69050 25
.688529.83919
.69054 24
.68855 .83921
.68858
.68862 .83925
.69057 23
.83923
.69060 22
.69064 21
.688659.83927
.69067 20
.68869 .83929
.69070 19
.68872 .83931
.69074 18
.68875 .83933
.69077 17
.68879 9.83935
.69080 16
.68882
.68885 .83940
.68889
.68892 9.83944
.68895
.83938
.69084 15
•
69087 14
.83942
.69091 13
.69094 12
.83946
.69097 11
51
.83439 .68295 .83567
.68494 .83694 .68697 .83821
.68497 .83696 .68700 .83823
.68899
.83948
.69101 10
.68902
.83950
.69104 9
+139.83441 .68298 9.83570 .685019.83698 .68703 9.83825
.68906
9.83952
53
54
55
.83443 .68301 .83572
.83445 .68305 .83574
.83447 .68308 .83576
+14.9.83449 .683129.83578
57
.83452
58
59
.83454
.83456
+159.83458
.68504 .83700..68707 .83828 .68909 .83955
.68508 .83702 .68710 .83830 .68912 .83957
.68511 .83704 .68713 .83832 .68916 .83959 .69117 5
.68515 9.83706 .68717 9.83834 .68919 9.83961 .69121
.68315 .83580 .68518
4
.83708 .68720 .83836 .68922 .83963 .69124
.68318 .83582 .68521 .83711 .68724 .83838 .68926 .83965 .69127
.68322
2
.83585 .68525 .83713 .68727 .83840 .68929 .83967 .69131 1
.68325 9.83587 .68528 9.83715 .68730 9.83842 .68932 9.83969 .69134 0
.69107
.69111
.69114
8
6
3
16h 34m
16h 30m
16h 33m
16h 31m
16h 32m

Page 134]
TABLE IV.
Ilaversines.
7h 30m 112° 30' 7h 31m 112° 45′ 7h 32m 113° 0' 7h 33m 113° 15′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. Hav.
7h 34m 113° 30'
Log. Hav. Nat. Hav.
S
0
S
123
+
9.83969 .69134 9.84096
.83971 .69138 .84098
.83974 .69141 .84100
.83976 .69144 .84102
19.83978
.693369.84221 .695379.84346 .69737
9.84471
.69937 60
562
+
.69161 9.84112
.69339 .84223
.69342 .84226
.69346 .84228
.69148 9.84104 .69349 9.84230
.83980 .69151 .84106 .69352 .84232
.83982 .69154 .84108 .69356 .84234
.83984 .69158 .84110
29.83986
.69540 .84349
.69543 .84351
.69741 .84473
.69941 59
.69744 .84475
.69944 58
.69547 .84353 .69747 .84477
.69947 57
.69550 9.84355
.69751 9.84479
.69951 | 56
.69553 .84357
.69754
.84481
.69954 55
.69557 .84359
.69757
.84483
.69957 | 54
.69359 .84236
.69560 .84361
.69761
.84485
.69961 53
.69362 9.84238
.69563
9.84363
.69764 9.84488
.69964 52
9
10
11
+39.83995
.83988 .69164 .84114
.83990 .69168 .84117
.83992 .69171 .84119 .69372 .84244
.69174 9.84121
.69366 .84240
.69567
.84365
.69767 .84490
.69967 51
.69369 .84242
.69570
.84367
.69771 .84492
.69971 50
.69573 .84369
.69774 .84494
.69974 49
.69376 9.84246
.69577 | 9.84371
.69777 9.84496
.69977 48
13
.83997 .69178 .84123
.69379
.84248
.69580 .84373
.69781 .84498
.6998147
14
.83999 .69181
.84125
.69382
.84251
.69583
.84376 .69784 .84500
.69984 46
15
.84001 .69185
.84127
.69386
.84253
.69587
.84378
.69787 .84502
.69987 45
+ 4'
9.84003
.69188 9.84129
.69389 9.84255
.69590
9.84380
.69791 9.84504
.69991 44
17
18
19
.84005 .69191 .84131
.84007 .69195 .84133
.84009 .69198 .84135
.69393 .84257
.69396 .84259
.69399 .84261
+59.84011
.692019.84138
21
.84014
22
.84016
23
.84018
.69205 .84140
.69208 .84142
.69211 .84144
.69403 | 9.84263
.69406 .84265
+ 69.84020
.69215 9.84146
25
.84022
26
27
.69218 .84148
.84024 .69221 .84150
.84026 .69225 .84152
+9.84028 .69228 9.84154
.69429
29
30
.84030 .69232 .84156
.84033
31
.84035
+
8'
9.84037
.694439.84288
33
34
35
+
9'
9.84045
.694569.84296
37
.84047
38
39
+109.84054
.69593 .84382
.69597 .84384 .69797
.69600 .84386 .69801 .84510
.69603 9.84388
.69607 .84390
.69409 .84267 .69610 .84392
.69413 .84269 .69614 .84394
.69416 9.84271 .69617 9.84396
.69419 .84274 .69620 .84398
.69423 .84276 .69624 .84400
.69426 .84278 .69627 .84403
9.84280 .69630 9.84405
.69433 .84282 .69634 .84407
.69235 .84159 .69436 .84284 .69637 .84409
.69238 .84161 .69439 .84286 .69640 .84411
.69242 9.84163
.69644 9.84413
.84039 .69245 .84165 .69446 .84290 .69647 .84415
.84041 .69248 .84167 .69450 .84292 .69650 .84417
.84043 .69252 .84169 .69453 .84294 .69654 .84419
.69255 | 9.84171
.69258 .84173
.84049 .69262 .84175
.84051 .69265 .84177
.69268 9.84179
.69794 .84506
.69994 43
.84508
.69997 42
.70001 41
.69804 9.84512
.70004 40
.69807 .84514
.7000789
.69811
.69814
.84517
.70011 38
.84519
.70014 37
.69817 9.84521
.70017 | 36
.69821 .84523
.70021 35
.69824
.84525
.70024 34
.69827 .84527
.70027 38
.69831 9.84529
.70031 32
.69834 .84531
.70034 31
.69837
.84533
.70037 30
.69841 .84535
.70041 29
.69844 9.84537
.70044 28
.69847
.84539
.70047 27

.69851 .84541
.70051 26
.69854 .84543
.70054 25
.69657 9.84421
.69460 .84299 .69660 .84423
.69463 .84301 .69664 .84425
.69466 .84303 .69667 .84427
.69470 9.84305
.69857 9.84545
.70057 24
.69861 .84547
.69864
.69867 .84552
.70061 23
.84550
.70064 22
.70067 21
.69670 9.84430
.69871 9.84554
.70071 20
41
.84056 .69272
42
43
.84058
.84060
.84182 .69473
.69275 .84184 .69476
.69279 .84186 .69480
.84307
.69674
.84309
.69677
.84311
+11' 9.84062
.69282 | 9.84188
45
46
47
.84064
.84066
.84068
+129.84070
49
50
51
+13'
53
54
55
.69483 9.84313
.69285 .84190 .69486 .84315
.69289 .84192 .69490 .84317
.69292 .84194 .69493 .84319
.692959.84196 .69496 9.84321
.84072 .69299 .84198 .69500
.84075 .69302 .84200 .69503
.84077 .69305 .84203 .69506
.69309 9.84205 .69510
9.84079
.84081 .69312
.84083
.84085
.69680
.69684 9.84438
.69687 .84440
.69690 .84442 .69891 .84566
.69694 .84444 .69894
.69697 | 9.84446
.84432 .69874 .84556
.84434 .69877
.84436 .69881 .84560
.70074 19
.84558
.70077 18
.70081 17
.69884 9.84562
.70084 16
.69887 .84564
.70087 15
.70091 14
.84568
.70094 | 13
.69897
9.84570
.70097 12
.84324
.84326
.84328
9.84330
+149.84087
57
58
59
.84207 .69513 .84332
.69315 .84209 .69516 .84334
.69319 .84211 .69520 .84336 .69720
.69322 | 9.84213 .69523 9.84338
.84089 .69326 .84215 .69527 .84340
.69329 .84217
.84091
.69530 .84342
.84093 .69332 .84219 .69533 .84344
.69700 .84448
.69704 .84450 .69904 .84574
.69707 .84452 .69907 .84576
.69710 9.84454 .69911 9.84578 .70111 8
.69914 .84581 .70114 7
.69901 .84572
.70101 11
.70104 10
.70107 9
+159.84096
.693369.84221
.695379.84346
.69714 .84456
.69717 .84459 .69917 .84583 .70117 6
.84461 .69921 .84585 .70121 5
.69724 9.84463 .69924 9.84587 .70124 4
.69727 .84465 .69927 .84589
3
.70127
.69731 .84467 .69931 .84591 .70131 2
.69734 .84469 .69934
1
.84593 .70134
.69737 9.84471 .69937 9.84595 .70137 0
16h 29m
16h 25m
16h 28m
16h 26m
16h 27m

TABLE IV.
[Page 135
S
Haversines.
yh 35m 113° 45'
7h 36m 114° 0'
7h 37m 114° 15′
7h 38m 114° 30' 7h 39m 114° 45′
Log. IIav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. Hav. Nat. Hav. Log. IIav. Nat. IIav.
S
0120
+
9.84595 .70137 9.84718
.84597 .70141 .84720
.84599 .70144 .84722
.84601 .70147 .84724
1/9.84603
567
.84605
.84607
.70154 .84729
.70157 .84731
9.84841
.84843
.70343 .84845
.70347 .84847
.701519.84726 .70350 9.84849
.70353
.70337
9.84963
.70340
.84851
.70536
.70539 .84965 .70738 .85087
.70543 .84967 .70741 .85089
.70546 .84969
.70549 9.84971
.70553 .84973
.707359.85085
.70933 60
.70936 59
.70940 58
.70745
.85091
.70943 57
.70748
9.85093
.70946 56
.70751 .85095
.70950 | 55
.70357
.84853
.84609
.70161 .84733
+
29.84611
.701649.84735
.70360
.70363 9.84857
.84855
.70556 .84975
.70559 .84977
.70755 .85097
.70953 54
.70758
.85099
.70956 53
.705629.84979 .70761
9.85101
.70959 | 52
9
.84613
.70167 .84737 .70367
.84859
.70566 .84982
.70764
.85103
.70963 | 51
10
.84616
11
.84618
.70171 .84739 .70370
.70174
.84861
.70569
.84984
.70768
.85105
.70966 50
.84741 .70373 .84863
.70572
.84986
.70771
.85107
.70969 49
+
39.84620
70177 9.84743
.70377 9.84866
.70576
9.84988
.70774 9.85109
.70973 48
13
.84622
.70181 .84745
.70380 .84868
.70579
.84990
.70778 .85111
.70976 47
14
.84624
15
.84626
+ 4/
9.84628
17
.84630
18
.84632
19
.84634 .70201
.70184 .84747
.70187 .84749
.70191 9.84751 .70390
.70194 .84753 .70393
.70197 .84755 .70397 .84878
.84757 .70400 84880
.70383
.84870
.70582
.70387
.84872
.70586
9.84874
.70589 9.84996
.84876
.70592 .84998
.70596 .85000
.70599 .85002
.84992
.84994 .70784 .85115
.70788 9.85117
.70791 .85119
.70781 .85113
.7097946
.70983 45
.70986 44
.70989 43
.70794
.70798 .85123
.85121
.70992 42
.70996 41
+ 5'
9.84636
.70204 9.84759
.70403 | 9.84882
.706029.85004
.708019.85125
.70999 40
21
.84638
.70207 .84761
.70407. .84884
22
23
.84640 .70211
.84642 .70214
.84763
.84765
.70410 .84886
.70413 .84888
+
25
26
27
+
29
.84655
30
.84657
31
.84659
+
89.84661
33
.84663
34
.84665
35
.84667
+
99.84669
.70257 9.84792
37
.84671
.70260 .84794
38
.84673
39
.84675
+10
9.84677
41
.84679 .70274
42
.84681
43
.84683
+ 119.84685
45
.84688
46
.84690
47
.84692
.70294
+12
9.84694
.70297
49
.84696 .70300
50
51
.84698 .70304
.84700
13' 9.84702
.703109.84825
53
.84704 .70314 .84827
54
55
57
58
59
159.84718
.703379.84841
69.84644 .70217 9.84767 .70417 9.84890
.84646 .70221 .84770 .70420 .84892
.84648 .70224 .84772 .70423 .84894
.84651 .70227 .84774 .70426 .84896
79.84653 .70230 9.84776 .70430 9.84898'
.70234 .84778 .70433 .84900
.70237 .84780 .70436 .84902 .70635 .85024
.70240 .84782 .70440 .84904 .70639 .85026
.70244 9.84784 .70443 9.84906 .70642 9.85028
.70247 .84786 .70446 .84908 .70645 .85030
.70250 .84788 .70450 .84910 .70649 .85032
.70254 .84790 .70453 .84912 .70652 .85034
.70456 9.84914 .70655 9.85036 .708549.85158
.70460 .84916 .70659 .85038
.70264 .84796 .70463 .84919 .70662 .85040
.70267 .84798 .70466 .84921 .70665 .85042
.70270 9.84800 .70470 9.84923 .70668 9.85044
.84802 .70473 .84925 .70672 .85046
.70277 .84804 .70476 .84927 .70675 .85048 .70874 .85170
.70280 .84806 .70480 .84929 .70678 .85050 .70877 .85172
.70284 9.84808 .70483 9.84931 .70682 9.85052 .70880 9.85174
.70287 .84810 .70486 .84933 .70685 .85054 .70884 .85176
.70290 .84812 .70490 .84935 .70688 .85057
.84815 .70493 .84937 .70692 .85059 .70890 .85180
9.84817 .70496 9.84939 .70695 9.85061
.84819 .70499 .84941 .70698 .85063
.84821 .70503 .84943 .70702 .85065
.70307 .84823 .70506 .84945 .70705 .85067
.70509 9.84947 .70708 9.85069 .70907 9.85190
.70513 .84949 .70712 .85071 .70910 .85192
.84706 .70317 .84829 .70516 .84951 .70715 .85073 .70913
.85, 94
.84708 .70320 .84831 .70519 .84953 .70718 .85075 .70916 .85196
149.84710 .70324 9.84833 .70523 9.84955 .70721 9.85077
.84712 .70327 .84835 .70526 .84957 .70725 .85079
.84714 .70330 .84837 .70529 .84959 .70729 .85081 .70926
.84716 .70333 .84839 .70533 .84961 .70731 .85083 .70930
.70536 9.84963 .70735 9.85085
.70606 .85006
.70609 .85008
.70612 .85010 .70811 .85131
.70615 9.85012
.70804 .85127
.71002 39
.70807
.85129
.71006 38
.71009 37
.70814 9.85133
.71012 36
.70619 .85014
.70817 .85135
.71016 85
.70622 .85016
.70625 .85018
.70629 9.85020
.70632 .85022
.70821 .85137
.71019 34
.70824
.70827 9.85141
.85139
.71022 33
.71025 32
.70831 .85143
.71029 31
.70834 .85145
.71032 30
.70837 .85147
.71035 29
.70840 9.85149
.71039 | 28
.70844 .85151
.71042 27
.70847 .85153
.71045 26

.70850 .85155
.71049 25
.71052 | 24
.70857 .85160
.71055 23
.70860 .85162
.71058 22
.70864 .85164
.71062 21
.70867 9.85166
.71065 20
.70870 .85168
.71068 19
.71072 | 18
.71075 17
.71078 16
.71082 15
.70887 .85178
71085 14
.71088 13
.70893 9.85182
.70897
.71091 12
.85184
.71095 || 11
.70900 .85186
.71098 10
.70903 .85188
.71101 9
.71105 8
.71108
.71111 6
.71114 5
.70920
9.85198
.71118 4
.70923
.85200
.71121 3
.85202 .71124 2
.85204 .71128 1
.70933 9.85206 .71131 0
16h 24m
16h 20m
16h 23m
16h 21m
16h 22m

Page 136]
TABLE IV.
Haversines.
S
7h 40m 115° 0′
7h 42m 115° 30'
7h 43m 115° 45′
7h 41m 115° 15′
7h 44m 116° 0′
Log. IIav. Nat. Jav. Log. IIav. Nat. Hav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav.
S
0
1
соло
2
3
+
19.85214
667
5
9.85206 .71131 9.85326
.85208 .71134 .85328
.85210 .71138 .85330
.85212 .71141 .85332
.71144 9.85334
.85216 .71147 .85336
.85218 .71151 .85338
.85220 .71154 .85340
.71328 9.85446
.71332 .85448
.71335 .85450
.71338 .85452
.71526 9.85565
.71529 .85567
.71722 9.85684
.71919 60
.71726 .85686
.71922 59
.71532 .85569 .71729 .85688
.71535 .85571
.71925 | 58
.713429.85454
.715399.85573
+
9
10
11
+
.85226
.85228
39.85230
13
14
15
+ 4
29.85222 .71157 9.85342
.85224 .71161 .85344
.71164 .85346
.71167 .85348
.71170 9.85350
.85232 .71174 .85352
.85234 .71177 .85354
.85236 .71180 .85356
9.85238
.71345 .85456
.71348 .85458
.71351 .85460
.71355 9.85462
.71358 .85464
.71361 .85466
.71365 .85468
.71542 .85575
.71545 .85577
.71549 .85579
.71732 .85690
.71735 9.85692
.71739 .85694
.71742 .85696
.71745 .85698 .71941 53
.71928 57
.71932 56
.71935 | 55
•
.71938 54
.715529.85581
.717489.85700
71945 52
.71555 .85583
.71558
.71562 .85587
.71752 .85702
.71948 51
.85585
.71755 .85704
.71951 50
.71758 .85706
.71955 49
.713689.85470
.715659.85589
.71371 .85472
.71374 .85474
.71378 .85476
.71568 .85591
.71571 .85593
.71575 .85595
.71762 9.85708
.71765 .85710
.71958 48
.71961 47
.71768
.71771
.85712
.71964 46
.85714
.71968 45
.711849.85358
.713819.85478 .715789.85597
.717759.85716
.71971 44
17
.85240
.71187 .85360
18
.85242
.71190 .85362
19
.85244
+
5'9.85246
21
22
23
.71194
.71197 9.85366
.85248 .71200 .85368
.85250 .71203 .85370
.85252 .71207 .85372
.85364
.71384 .85480
.71388 .85482
.71391 .85484
.713949.85486
.71581 .85599
.71585 .85601
.71588 .85603
.71591 9.85605
.71778 .85718
.71974 43
.71781 .85720
.71784 .85722
.71977 42
.71981 41

.71788 9.85724
.71984 40
.71397 .85488 .71594 .85607
.71401 .85490 71598 .85609
.71404 .85492 .71601 .85611
.71791 .85726
.71987 89
.71794 .85727
.71930 38
.71798 .85729
.71994 87
+
69.85254
.712109.85374
71407 9.85494 .716049.85613 .718019.85731
.71997 36
25
.85256
.71213 .85376
26
.85258
.71217
.85378
27
.85260
.71220
.85380
+
79.85262
.712239.85382
29
.85264
30
31
+ 8'
33
34
35
+
37
38
39
+109.85286 .712639.85406 .71460 9.85526
41
.85288 .71266
42
.85408 .71463 .85528
.85290 .71269 .85410 .71466 .85530
43
.85292 .71273 .85412
.71470 .85532
+11
9.85294
.712769.85414 .714739.85534
.71411 .85496
.71414 .85498
.71417 .85500
.71420 9.85502
.71226 .85384 .71424 .85504
.85266 .71230 .85386 .71427 .85506
.85268 .71233 .85388 .71430 .85508
9.85270 .712369.85390 .71434 9.85510
.85272 .71240 .85392 .71437 .85512
.85274 .71243 .85394 .71440 .85514
.85276 .71246 .85396 .71443 .85516
99.85278 .712499.85398 .71447 9.85518
.85280 .71253 .85400 .71450 .85520 .71647 .85639 71843 .85757
.85282 .71256 .85402 .71453 .85522 .71650 .85641 .71847 .85759
.85284 .71259 .85404 .71456 .85524 .71653 .85643 .71850 .85761
.71853 9.85763 72049 | 20
.71856 .85765
.71860 .85767
.71863
.71866 9.85771
.71608 .85615
.71611 .85617
.71614 .85619
71804 .85733
.72000 35
.71807
.71811 .85737
.85735
.72003 34
.72007 33
.716179.85621 .718149.85739
.72010 32
.71621 .85623
.71817 .85741
.72013 31
.71624 .85625
.71820
.85743
.72017 80
.71627 .85627
.71824 .85745
.72020 | 29
.716319.85629
.718279.85747
.7202328
.71634 .85631
.71637 .85633
.71640 .85635
.71830 .85749
.71834
.72026 | 27
.85751
.72030 26
.71837 .85753
72033 | 25
.716449.85637 .718409.85755
.72036 | 24
.72039 | 23
.7204322
.72046 21
.716579.85645
.71660 .85647
.72052 19
.71663
.85649
.72056 18
.71667
.85651
.85769
.72059 | 17
.71670
9.85653
.72062 | 16
45
46
47
.85296 .71279 .85416 .71476 .85536 .71673
.85298 .71282 .85418 .71480 .85538 .71676
.85300 .71286 .85420 .71483 .85540 .71680 .85658
.85654
.71870
.85773
.72066 15
.85656
.71873 .85775
.72069 14
.71876 .85777
.72072 | 13
49
50
51
+ 13' 9.85310
5.3
54
55
149.85318 .713159.85438
57
58
59
+15
.85320 .71319 .85440
.85322 .71322 .85442 .71519
.85324 .71325 .85444 .71522
9.85326
+129.85302 .712899.85422 .714869.85542 .71683 9.85660
.85304 .71292 .85424 .71489 .85544 .71686 .85662
.85306 .71296 .85426 .71493 .85546 .71690 .85664
.85308 .71299 .85428 .71496 .85548 .71693 .85666
9.85668
.85312 .71305 .85432 .71503 .85552 .71699 .85670
.85314 .71309 85434 .71506 .85554 .71703 .85672
.85316 .71312 .85436 .71509 .85555 .71706 .85674
.71709 | 9.85676
.71712 .85678
.71716 .85680
.71719 .85682
.71879 | 9.85779
.72075 12
.71883 .85781
.72079 11
.71886
*.85783
.72082❘ 10
.71889 .85785
.72085 9
.713029.85430 .714999.85550 .71696
.718929.85787
.72088 8
.71896 .85788 .72092 ry
.71899 .85790 .72095 6
.71902 .85792 .72098 5
.715129.85557
.71516 .85559
.71905 9.85794
.71909 .85796
.72101 4
.72105 3
.85561
.85563
.71328 9.85446 .71526 9.85565
.717229.85684
.71912 .85798
.71915 .85800
.71919 9.85802 .72114 0
.72108 2
.72111 1
16h 19m
16h 15m
16h 18m
16h 16m
16h 17m

TABLE IV.
[Page 137
Haversines.
S
7h 45m 116° 15′ 7h 46m 116° 30'
Log. Hav. Nat. Hav. Log. IIav. Nat. IIav.
0
9.85802
1
2
.721149.85920 .72310
.85804.72118 .85922 .72313
.85806.72121 .85924 .72316
.86041
.85808 .72124 .85926 .72320 .86043
7h 47m 116° 45' 7h 48m 117° 0'
Log. IIav. Nat. IIav. Log. Hav. Nat. Hav.
9.86037 .725059.86153 .72700
.86039.72508 .86155 .72703 .86271
.72511 .86157 .72706 .86273
.72515 .86159 72709 .86275
7h 49m 117° 15'
Log. IIav. Nat. IIav.
CA
9.86269
.72894 60
.72897 59
+1
19.858.10
.721279.85928 .723239.86045
.725189.86161 .72712 9.86277
667
5
.85812 .72131 .85930.72326 .86046
.85814 .72134 .85931 .72329
.72521
.86048
.72524
.85816 .72137
.85933
.72333
.86050
.72528
+
29.85818
.72141 | 9.85935
.72336 | 9.86052
.72900 58
.72903 57
.72907 56
.86163 .72716 .86279 .72910 55
.86165 .72719 .86281 .72913
54
.86167 .72722
.725319.86169 .72725
.86282 .72916 53
9
.85820
.72144
.85937
.72339
.86054
10
.85822
72147
.85939
.72342
.86056
11
.85824 .72150
.85941
.72346 .86058
.72534 .86171
.72537 .86173
.72541 .86174
.72729
9.86284
.86286 .72923 51
.72920 52
.72732
.86288
.72926 50
.72735 .86290
.72929 49
+
39.85826 .72154
9.85943
.723499.86060
.725449.86176
.727389.86292
.72932 48
18
.85828 72157
14
.85830
.85945
.72160 .85947 .72355
.72352 .86062
.72547 .86178
.72742 .86294 .72936
47
.86064
.72550
.86180
15
.85832
.72163 .85949 .72359
.86066
.72554
.86182
.72745
.72748
.86296
.72939 46
.86298
.72942 45
+ 4/
9.85834
17
.85836
.721679.85951 .72362
.72170 .85953 .72365
9.86068
.72557 | 9.86184
.72751 9.86300
.7294544
.86070
.72560
18
.85838
19
.85840
.72173 .85955 .72368 .86072
.72176 .85957 .72372 .86074
.72563
+
5'
9.85841
.721809.85959 .72375
9.86076
.725709.86192
.86186
.86188 .72758
.72567 .86190 .72761
.72764 9.86307
.72755 .86302
.72949 4.3
.86304
.72953 42
.86306
.72955 41
.72958 40
21
22
.85843 .72183
.85845
28
.85847
.85961. .72378
.72186 .85963 .72381
.72189
.72385
.86078
.72573 .86194
.72768
.86309 72962 39
.86080
.72576
.86196
.72771
.85965
.86081
.72580
.86198
.72774
.86311
.86313 .72968 37
.72965 38
+
69.85849
.721939.85967
.72388 | 9.86083
.72583 | 9.86200
72777
9.86315 72971 36
25
.85851
.72196 .85969
.72391
.86085
.72586
.86201
.72780
.86317 72974 35
26
.85853 .72199
.85971
.72394
.86087
.72589
.86203
.72784
.86319 .72978 34
27
.85855 .72202
.85972
.72398
.86089
.72593 .86205
.72787
+
9.85857 .72206 9.85974
.72401 | 9.86091
29
.85859 .72209
.85976
30
.85861 72212
81
.85863 .72215
+
8'
33
34
35
.85978
.85980
9.85865 .72219 9.85982 .724149.86099
.85867 .72222 .85984
.85869 .72225 .85986
.85871 .72229 .85988
.72424
.86105
+
9/9.85873 .72232 9.85990
.72427
9.86107
.725969.86207 .72790
.72404 .86093 .72599 .86209 .72793
.72407 .86095 .72602 .86211 .72797 .86327 .72991 30
.72411 .86097 .72606 .86213 .72800 .86329 .72994 29
.72609 9.86215 .728039.86331 .72997 28
.72417 .86101 .72612 .86217 .72806 .86332 .73000 27
.72420 .86103 .72615 .86219 .72810 .86334 .73004 26
.72618 .86221 .72813 .86336
.72622 | 9.86223
.86321 .72981 38
9.86323 .72984 32
.86325 .72987 31

.73007 25
.728169.86338
.73010 24
37
.85875 .72235 .85992
2430
.86109
38
.85877 .72238
.85994
39
.85879 72242
.85996
+109.85881 .72245
9.85998
41
.85883 .72248
42
.85885 .72251
43
+11
45
46
.86225 .72819 .86340
.86227 .72823
.86229 .72826
9.86230 72829
.86232 .72832
.86234.72835
.73013 23
.72433 .86111 72628
.86342 .73016 22
.72437 .86112 .72631
.86344.73020 21
.724409.86114 .72635
9.86346 .73023 20
.86000 .72443 .86116 .72638
.86348 .73026 19
.86002 .72446 .86118 .72641
.86350 .73029 18
.85887 .72255 .86004.72450 .86120 .72644 .86236 .72839 .86352 73033 17
9.85888 .72258 9.86006 .724539.86122 .726489.86238 .728429.86354 .73036 16
.85890 .72261 .86008 .72456 .86124 .72651 .86240 .72845 .86355 .73039 15
.85892 .72264 .86010 .72459 .86126 .72654 .86242 .72848 .86357 .73042 14
47 .85894 .72268 .86011 .72463 .86128 .72657 .86244 .72852 .86359 .73046 18
+12 9.85896
.722719.86013
.85898 .72274 .86015
.85900 .72277 .86017
.85902 .72281 .86019
.72284 9.86021
.85906 .72287
.728559.86361
.73049 12
.724669.86130 .72661 | 9.86246
.72469 .86132 .72664 .86248 .72858 .86363 .73052 11
.72472 .86134 .72667 .86250 .72861 .86365 .73055 10
72476 .86136.72670 .86252 .72865 .86367 .73058 9
.724799.86138 .726749.86254 .728689.86369 .73062
.86023 .72482 .86140 .72677 .86256
49
50
51
+139.85904
53
54
55
57
58
59
.85914 .72300 .86031 .72495
.85916 .72303 .86033 .72498
.85918 72307 .86035 | .72502
+159.85920
.72310
.72871 .86371 .73065
.85908 .72290 .86025 .72485 .86142 .72680 .86257 .72874 .86373 .73068 6
.85910 .72294 .86027 .72489 .86143 .72683 .86259 .72878 .86375 .73071 5
+149.85912 .722979.86029 .72492 9.86.145 .726879.86261 .728819.86377 .73076 4
.86147 .72690 .86263 .72884 .86379 .73078 3
.86149 .72693 .86265 .72887 .86380 .73081
.86151 .72696 .86267 .72890 .86382 .73084 1
.72894 | 9.86384 | .73087 0
9.86037 .725059.86153 .727009.86269
.72625
16h 14m
16h 10m
16h 13m
16h 11m
16h 12m

Page 138]
TABLE IV.
Haversines.
co
+
667
5
.86398
+ 29.86400
9
.86401
10
.86403
11
.86405
+39.86407
.731269.86522
18
.86409
14
15
+
.86411
.86413
49.86415 .73139
.731139.86514 .73306
.73116 .86516 .73310
.73120
.73123 .86520 .73316
.73319
.73129 .86524 .73323
.73133 .86526 .73326
.73136 .86528 .73329
9.86529
.86518.73313
7h 50m 117° 30′
7h 51m 117° 45'
7h 52m 118° 0'
7h 53m 118° 15′
7h 54m 118° 30'
Log. IIav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav Log. Hav. Nat. Hav. Log. Hav.) Nat. Hav.
.730879.86499.732819.86613.73474
0
9.86384
1
.86386
.73091
2
.86388 .73094
.86501.73284
.86503 .73287
.86615.73477
.86617
.73480
.86390 .73097
.86505.73290 .86619
1′
9.86392
S
9.86727.736669.86840 .73858 60
.86729.73669 .86842.73861 59
.86843 .73864 58
.86730.73672
888899
73483 .86732 .73676 .86845.73868 57
.73100 9.86507 .732949.86621 .734869.86734 .73679 | 9.86847 | .73871 56
.86394 .73104 .86509 .73297 .86623 .73490 .86736.73682 .86849 .73874 55
.86396 .73107 .86510 .73300 .86625 73493 .86738.73685 .86851 .73877 54
.73110 .86512.73303 .86626 | .73496 .86740 .73688 .86853 .73880 53
9.86628 .734999.86742 .736929.86855 .73884 52
.86630.73502 .86744 .73695 .86857
.86632 .73506 .86746.73698
.86654 | .73509 .86747
.73701
.73887 51
.86859 .73890 50
.86860
.73893 49
9.86636 | .73512 | 9.86749
.73704 | 9.86862
.73896 48
.86638.73515
.86751
.73708
.86864
.73899 47
.86640.73519
.86753
.73711
.86866
73903 46
.86642 | .73522
.86755
.73714 .86868
.73906 45
.733329.86643 .73525
9.86757
.737179.86870
.73909 44
17
.86417 .73142
18
.86419 .73145
19
+
5
.86421
9.86423
.86531
.86533
.73149 .86535
.73335 .86645 .73528 .86759
.73339 .86647 .73531 .86761 .73724
.73342 .86649
.73720 .86872
.73912 43
.86874
.73915 | 42
.73535 .86763
.73727
.86875
.73919 | 41
.731529.86537
.733459.86651
.73538
9.86764
73730
9.86877 .73922 40
21
.86424 .73155 .86539
.73348 .86653
.73541
.86766
.73733
22
.86426.73158
.86541 .73351 .86655
.73544
.86768
.73736
23
.86428.73162
+ 6'
9.86430
.73165
25
.86432 .73168
26
.86434 .73171
.86543 .73355 .86657
.86770 .73740
9.86545 .73358 9.86659 .73551 9.86772 .73743
.86547 .73361 .86661 .73554 .86774 .73746
.86569 .73364 .86662 .73557 .86776.73749
.73547
27
.86436.73174
.86550
+
79.86438 .73178
9.86552
29
.86440 .73181
.86554
30
.86442 | .73184
.86556
31
.86444 .73187 .86558 .73380
+
8' 9.86446
.731919.86560
.73384
.73368
.73371 | 9.86666 .735639.86780
.73374 .86668 .73567 .86781
.73377 .86670 .73570 .86783
.86672 .73573 .86785
9.86674 .73576
.86664.73560 .86778 .73752
.73935 36
.73938 35
.86889 .73941 34
.86890 .73944 33
.86879.73925 39
.86881 .73928 38
.86883 .73931 37
9.86885
.86887
.73756
9.86892
.73947 32
.73759
73762
.86894 .73951 31
9.86787
.73768 | 9.86900
.86896.73954 80
.73765 .86898.73957 29
.73960 28
33
34
35
+
.86447 .73194 .86562 .73387
.86449 .73197 .86564 .73390 .86678 .73583
.86451 .73200 .86566 .73393 .86679
99.86453 .732039.86568 .73396
.86676.73579
.86789
.73772.
.86902 .73963 27
37
88
89
.86459
+10
9.86461
.732169.86575
41
.86463
.73220 .86577 .73413
42
.86465
43
.86467
9.86681
.86455.73207 .86569.73400 .86683
.86457 .73210 .86571 .73403 .86685
.73213 .86573 .73406 .86687
.73409 9.86689 .736029.86802
.86691 .73605 .86804
.86693 .73608 .86806
.86808
.732299.86583
.734229.86696
+ 119.86468
.73223 .86579 .73416
.73226 .86581 .73419 .86695 .73611
.73615
.86470 .73232 .86585 .73425 .86698 .73618
.86472 73236 .86587 .73429
.86474 .73239 .86588 .73432
.86700.73621
.736289.86817
.86904.73967 26
.86905 .73970 25
.73781 9.86907 .73973 24
.73784 .86909.73976 23
.73788 .86911 .73979 22
.73791 .86913.73982 21
.737949.86915 .73986 20
.73797 .86917 .73989 19
.73800 .86919 .73992 18
.86920 .73995 17
9.86922
.73807
.73998 16
.86812 .73810 .86924 .74002 15
.86813 .73813 .86926 .74005 14
.86702 .73624 .86815 .73816 .86928.74008 13
9.86704
738209.86930 .74011 12
.86478 .73245 .86592 .73438 .86706 .73631 .86819 73823 .86932 .74014 11
.86480 .73249 .86594 .73441 .86708 .73634 .86821 .73826 .86933 .74018 10
.86482 .73252 .86596 .73445 .86710 .73637
.86935.74021
9.86712 .73640
+129.86476 .73242 9.86590 .73435
45
46
47
49
50
51
+139.86484 .732559.86598 .73448
.86823
9.86825
.73829
9
.73832 | 9.86937 .74024
8
58
.86486
54
.86488
55
.73258 .86600.73451
.73261 .86602 .73454
.86489 .73265 .86604
.86713.73644
.86827
.73836
.86939
.86715.73647
.86828 .73839
.74027
.86941.74030
6
+149.86491 .73268 | 9.86606
57
.86493 .73271
58
.86495 .73274
59
.86497 .73278
+15' 9.86499
.732819.86613
.73458 .86717 .73650
.73461 9.86719 .73653
.86607 .73464 .86721 .73656 .86834 .73848
.86609 .73467 .86723 .73660 .86836 .73852
.86611 .73470 .86725 .73663 .86838.73855
.73474 9.86727 .736669.86840 .73858
.86830.73842
.86943 .74033
994∞
5
9.86832 .73845 | 9.86945 | .74037
4
.86947 .74040 3
.86948.74043 2
.86950 .74046 1
9.86952
.74049 0
.86791
.73775

.73586 .86793
.73778
.735899.86795
.73592 .86796
73595 .86798
.73599 .86800
.73804
9.86810
16h 9m
16h 5m
16h 8m
16h 6m
16h 7m

TABLE IV.
[Page 139
T
Ilaversines.
S
7h 55m 118° 45'
7h 56m 119° 0' 7h 57m 119° 15′ 7h 58m 119° 30' 7h 59m 119° 45'
Log. Hav. Nat. Hav. Log. Hav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
S
0
9.86952
1
.86954
2
+
.74049 9.87064 .74240 9.87175
.74052 .87066 .74244 .87177
.86956 .74056 .87068 .74247 .87179
.86958 .74059 .87070
19.86960 .74062 9.87072
.744319.87286
.746219.87396
.74811 60
.74250 .87181
.74434 .87288 .74624 .87398
.74437 .87290
.74441 .87292 .74631 .87402
.74814 59
.74628 .87400
.74817 58
.74820 57
.742539.87183
.74444 9.87294
.74634
9.87404
.74823 56
5
6
.86962
.86963 .74069
.74065 .87073
.74256 .87185
.74447
.87295
.74637
.87406
.74827 55
.87075
.74260
.87187
.74450
.87297
.74640 .87407
.74830 54
7
.86965
.74072
.87077
.74263
.87188
.74453
.87299
.74643
.87409
.74833 53
+ 29.86967
.74075
9.87079
.74266
9.87190
.74456
9.87301
.74646 9.87411
.74836 52
9
.86989
.74078
.87081
.74269
.87192 .74460
.87303
.74650 .87413
.74839 51
10
.86971
.74081
.87083
.74272
.87194..74463
.87305
.74653 .87415
.74842 50
11
.86973
.74084 .87085
+ 39.86975
.74088 9.87086
18
.86977
.74091 .87088
.74275 .87196 .74466
.74279 9.87198 .74469
.74282 .87199 .74472
.87306
.74656 .87417
.74846 49
9.87308
.74659 9.87418
.74849 48
14
.86978
.74094 .87090
.74285
.87201
.74475
15
.86980
.74097 .87092
.74288
.87203
.74479
.87310
.87312 .74665
.87314
.74662 .87420
.74852 47
.87422
.74855 46
.74669 .87424
.74858 45
+
49.86982
9.87205
17
.87207
18
19
+
5/ 9.86990
.74113 9.87101
21
.86991 .74116
.87103
.74307
22
.86993
.74120
.87105
.74310
28
.86995
.74123
.87107
+
69.86997
25
.86999 .74129
26
27
.74126 9.87109
.87111
.87001 .74132 .87112
.87003 .74135 .87114
+
79.87004 .74139 9.87116
.74329
9.87227
.74100 9.87094 .74291
.74672 9.87426
.86984 .74104 .87096 .74294
.74485 .87318 .74675
.86986 .74107 .87098 .74298 .87209 .74488 .87319 .74678
.86988 .74110 .87100 .74301 .87211 .74491 .87321
.74304 9.87212 .74494 9.87323
.87214 .74498 .87325
.87216 .74501 .87327
.74314 .87218 .74504 .87329
.74317 | 9.87220 .74507 9.87330
.74320 .87222 .74510 .87332
.74323 .87224 .74514 .87334 .74703
.74326 .87225 .74517 .87336 .74707
.74520 9.87338
.74482
9.87316
.74861 44
.87428
.74864 43
.87429
.74868 42
.74681 .87431
74871 41
.74684 9.87433
.74874 40
.74688
.87435
.74877 39
.74691
.87437
.74880 38
.74694
.87439
.74883 37
.74697
9.87440
.74887 36
74700 .87442
.74890 35
.87444
.74893 34
.87446
.74896 33
.74710
9.87448
.74899 32
29
.87006 .74142 .87118
.74333
.87229
.74523 .87340
.74713
.87450
.74902 31
30
.87008 .74145 .87120
81
+
8'
33
34
.87016
85
.87018
+
9/9.87019
87
88
39
.74336 .87231
.87010 .74148 .87122 .74339 .87233 .74529
9.87012 .74151 9.87124 .74342 9.87235 .74533 9.87345
.87014 .74155 .87125 .74345 .87236 .74536 .87347
.74158 .87127 .74349 .87238 .74539 .87349
.74161 .87129 .74352 .87240 .74542
.74164 9.87131 .74355 9.87242
.87021 .74167 .87133 .74358 .87244 .74548 .87354
.87023 .74170 .87135 .74361 .87246
.87025 .74174 .87137 .74364 .87248
+109.87027 .74177 9.87138
.74526 .87341
.74716
.87451
.74905 30
.87343
.74719 .87453
.74908 29
74722
9.87455
.74912 28
.74726
.87457
.74915 27

.74729
.87459
.74918 26
.87351
.74732
.87460
.74921 25
.74545
9.87352
.74735 9.87462
.74924 24
.74738 .87464
.74928 23
.743689.87249
41
42
43
87029 .74180 .87140
.87031 .74183 .87142
.87032 .74186 .87144
.74371 .87251
.74374 .87253
.74552 .87356
.74555 .87358
.74558 9.87360
.74561 .87362
.74564 .87363 .74754
.74741 .87466
.74931 22
.74744 .87468
74934 21
.74748 9.87470
.74751 .87471
74937 20
.74940 19
.87473
.74943 18
+119.87034 .74190 9.87146
45
46
47
+129.87042 .74202 9.87153
.743939.87264
49
50
51
.87044 .74205 .87155
.87045 .74209 .87157
.87047 .74212 .87159
+139.87049 .74215 9.87161
53
54
55
.87051 .74218 .87162
.87053 .74221 .87164
.87055 .74225 .87166
.74396 .87266
.74399 .87268
.74402 .87270
.74406 9.87271
.74409 .87273
.74412 .87275
.74415 .87277
.74377 .87255 .74567 .87365 .74757 .87475
.74380 9.87257 .74571
.87036 .74193 .87148 .74383 .87259 .74574
.87038 .74196 .87149 .74387 .87260 .74577 .87371
.87040 .74199 .87151 .74390 .87262 .74580 .87373
.74583 9.87374
.74586 .87376 .74776 .87486
.74946 17
9.87367
.74760 9.87477
.74950 16
.87369
.74763
.87479
.74953 15
.74767 .87481
.74770
.74773 9.87484
.74956 14
.87482
.74959 13
.74962 12
74965 11
.74590 .87378 .74779 .87488
.74593 .87380 .74782 .87490
.74596 9.87382
.74599 .87384
.74602 .87385
.74605 .87387
.747869.87492 .74975 8
.74789 .87493 .74978 7
.74792 .87495 .74981 6
.74795 .87497 .74984 5
.74969 10
.74972 9
57
58
59
+159.87064
+149.87057 .74228 9.87168 .74418 9.87279
.74798 9.87499 .74987 4
.87059 .74231 .87170 .74422 .87281 .74612 .87391 .74801 .87501 .74991 8
.87060 .74234 .87172 .74425 .87283 .74615 .87393 .74805 .87502 .74994 2
.87062 .74237 .87174 .74428 .87284 .74618 .87395 .74808 .87504 .74997 1
.74240 9:87175 .74431 9.87286 .74621 9.87396 .74811 9.87506 .75000 0
.746099.87389
16h 4m
16h 0m
16h gm
16h 1m
16h 2m

Page 140]
TABLE IV.
S
0
2
4+ 1
6
Haversines.
8h 2m 120° 30'
8h 4m 121° 0'
8h 6m 121° 30′
.76508 56
.76514 | 54
8h 0m 120° 0'
8h 8m 122° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
09.87506 0.75000 9.87724 0.753779.87939 0.75752 9.88153 0.76125 9.88364 0.76496 | 60
.87510 .75006 .87727 .75383 .87943 .75758 .88156 .76131 .88367 .76502 58
.87513 .75013 .87731 .75389 .87947 .75764 .88160 .76137 .88371
.87517 .75019 .87735 .75396 .87950 .75771 .88163 .76144 .88374
8+ 29.87521 0.75025 9.87738 0.75402 9.87954 0.757779.88167 0.76150 9.88378 0.76521 52
10
.87524 .75032 .87742 .75408 .87957
.75783 .88170
.76156 .88381 .76527 50
12+ 3 .87528 .75038 .87745 .75415 .87961 .75789 .88174 .76162 .88385 .76533 48
14
.87532 .75044 .87749 .75421 .87964 .75795 .88177 .76168 .88388 .76539 | 46
16+ 49.87535 0.75050 9.87753 0.75427 9.87968 0.75802 9.88181 0.76175 9.88392 0.76545 44
18
.87539 .75057 .87756 .75433 .87971 .75808 .88185 .76181
20+ 5 .87543 .75063 .87760 .75440 .87975 .75814 .88188 .76187
22
.87546 .75069 .87764 .75446 .87979 .75820 .88192 .76193 .88402
24 69.87550 0.75075 9.87767 0.75452 9.87982 0.75827 9.88195 0.761999.88406 0.76570
26
.87553 .75082 .87771 .75458 .87986 .75833 .88199 .76205
28+7 .87557 .75088 .87774 .75465 .87989 .75839 .88202 .76212
30
.87561 .75094 .87778 .75471 .87993 .75845 .88206 .76218
3289.87564 0.75101 9.87782 0.75477 9.87996 0.75852 9.88209 0.76224 9.88420 0.76595 28
34
.87568 .75107 .87785 .75483 .88000 .75858 .88213 .76230 .88423 .76601 26
36+ 9 .87572 .75113 .87789 .75490 .88004 .75864 .88216 .76236 .88427 .76607 24
38
.87575 .75120 .87792 .75496 .88007 .75870 .88220 .76243 .88430 76613 22
40+109.87579 0.751269.87796 | 0.755029.88011 0.75876 9.88223 | 0.762499.88434 | 0.76619 20
.87583 .75132 .87800 .75508 .88014
44+11 .87586 .75138 .87803
42
46
50
.88395
.88399
.76551 42
.76558 40
.88409
.88413
.88416
76564 38
36
.76576 34
.76582! 32
.76588 30
48+129.87593 0.751519.87810 0.755279.88025 0.75901 9.88237 0.76274 9.88448 0.76644| 12
.75515
.87590 .75145 .87807
.75521
.87597 .75157 .87814
.75533
.87601 .75164
.75170
.87818 .75540
.87821 .75546
.75883
.88018 .75889
.88021 .75895
.88227 .76255
.88230 .76261
.88234 .76267
.88437 .76625 18
.88441 .76632 16
.88444 .76638 14
.88029
.88032
.88036
.75908 .88241 .76280 .88451 .76650 10
.75914 .88244 .76286 .88455 .76656 8
.75920 .88248 .76292 .88458 .76662 6
4
2
52+13
54
.87604
56+14 9.87608 | 0.751769.87825 0.75552 | 9.88039 0.759269.88252 0.76298 9.88462 | 0.76668
58
9.87612 0.751829.87828 | 0.75558 | 9.88043 | 0.75932 | 9.88255 | 0.763059.88465 0.76675
|
| |
15h 59m
15h 57m
15h 55m
15h 53m
15h 51m
S
0+15
2
6
.87626 .75208
10
.87633
.75220
12+18
.87637
.75226
.87853 .75602
.88068
14
.87641
.75233
.87857 .75608
.88071
8h 1m 120° 0' 8h 3m 120° 30' 8h 5m 121° 0′
9.87615 0.75189 9.87832 0.75565 9.88046 0.75939
.87619 .75195 .87835 .75571 .88050 .75945
4+16 .87623 .75201 .87839 .75577 .88053 .75951
.87843 .75583 .88057 .75957
.76699 54
8179.87630 | 0.75214 | 9.87846 0.75590 9.88061 0.75964 9.88273 0.763359.88483 0.76705 52
.87850 .75596 .88064 .75970 .88276 .76342 .88486 .76711 50
.75976 .88280 .76348 .88490 .76718 48
.75982 .88283 .76354
8h 7m 121° 30' 8h 9m 122° 0′
9.88259 | 0.76311 9.88469 0.76681 | 60
.88262 .76317 .88472 .76687 58
.88266 .76323 .88476
.88269 .76329 .88479
S

.76693 56
.88493
76724 46
18
20+20
16+19 9.87644 0.75239
.87648 .75245
.87652 .75251
9.87861
0.75615 | 9.88075 | 0.759889.88287 | 0.76360 9.88496
0.76730 | 44
.87864
.87868
.75621
.75321
.75327
.87907
46
.87699
22
.87655 .75258
24+21 9.87659 0.75264 9.87875 0.756409.88089 0.76013 9.88301 0.76385 9.88510 0.76754 36
26
.87662 .75270 .87879 .75646 .88092 .76019 .88304 .76391 .88514 .76761 34
28+22 .87666 .75277 .87882 .75652 .88096 .76026 .88308 .76397 .88517 .76767 32
30
.87670 .75283 .87886 .75658 .88100 .76032 .88311 .76403 .88521 .76773 30
32+23 9.87673 0.75289 9.87889 0.75665 9.88103 0.76038 9.88315 0.764109.88524 0.76779 28
34
.87677 .75295 .87893 .75671 .88107 .76044 .88318 .76416 .88528 .76785 26
36+24 .87680 .75302 .87896 .75677 .88110 .76050 .88322
38
.87684 .75308 .87900 .75683 .88114 .76057 .88325
40+25 9.87688 0.75314 9.87904 0.75690 9.88117 0.76063 9.88329 0.76434
42
.87691
.75696 .88121 .76069 .88332 .76440
44+26 .87695
.87911 .75702 .88124 .76075 .88336 .76447
.75333 .87914 .75708 .88128 .76082 .88339 .76453
.76366
.75627
.76001 .88294 .76373
.87871 .75633 .88085 .76007 .88297 .76379
.88078 .75995 .88290
.88082
.88500
.7673642
.88503
.7674240
.88507
76748 38
.76422
.88531 .76791 24
.76428
.88535 .76797 22
9.88528 0.76804 20
.88542
.88545
.76810 18
.76816 16
.88549
.76822 14
48+27 9.87702 0.75339 | 9.87918 0.75714 9.88131 0.76088 9.88343 0.76459 9.88552 0.76828 12
50
.87706 .75346 .87921 .75721 .88135 .76094 .88346 .76465 .88556 .76834 10
52+28 .87709 .75352 .87925 .75727 .88139 .76100 .88350 .76471 .88559 .76840 8
54
.87713 .75358 .87929 .75733 .88142 .76106 .88353 .76477 .88562 .76847 6
56+29 9.87717 0.753649.87932 0.75739 9.88146 0.761139.88357 0.76484 9.88566 0.76853
58
.87720 .75371 .87936 .75746 .88149 .76119 .88360 .76490 .88569 .76859
60+30 9.87724 0.75377 9.87939 0.75752 9.88153 0.76125 9.88364 0.76496 9.88573 0.76865
420
15h 58m
15h 50m
15h 5cm
15h 52m
15h 54m

TABLE IV.
[Page 141
S
0
2
8h 10m 122° 30' 8h 12m 123° 0'
Log. Hav. Nat. Hav. Log. IIav. Nat. Hav.
Haversines.
8h 18m 124° 30'
8h 14m 123° 30′ 8h 16m 124° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. IIav. Nat. Hav. S
09.88573 0.76865 9.88780 0.77232 9.88984 0.775979.89187 0.77960 9.89387 | 0.78320 | 60
.88576 .76871 .88783 .77238 .88988 .77603 .89190 .77966 .89391 78326 58
4+ 1 .88580 .76877 .88787 .77244 .88991 .77609 .89194 .77972 .89394 .78332 56
6
.88583 .76883 .88790 .77250 .88995 .77615 .89197 .77978 .89397 .78338 54
8+ 29.88587 0.76890 9.88793 | 0.77256 9.88998 0.77621 9.89200 0.77984 9.89400 0.78344 | 52
10
.88590 .76896 .88797 .77262 .89001 .77627 .89204 .77990 .89404
12+ 3 .88594 .76902
.77269 .89005 .77633 .89207 .77996 .89407
14
.88597 .76908 .88804 .77275 .89008 .77639 .89210 .78002
16+ 49.88600 0.76914 9.88807 0.77281 9.89012 0.77645 9.89214 0.78008
18
.88604 .76920 .88811 .77287 .89015 .77651 .89217 .78014
.88607 .76926 .88814 .77293 .89018 .77657 .89221 .78020 .89421 .78380 40
.88611 .76932 .88817 .77299 .89022 .77664.89224 .78026 .89424 78386 38
.88800
.78350 50
78356 48
.89411
78362 46
9.89414
0.78368 || 44
.89417
.78374 42
2469.88614.076939 9.88821 0.77305 9.89025 0.77670 9.89227 0.78032 9.89427 0.78392
0769399.88821 | | 0.780329.89427 | | 36
.89231 78038 .89431 .78398 34
.89234 .78044 .89434 .78404 32
.89237 .78050 .89437 .78410 30
20+ 5
22
26
.88618 .76945 .88824
28+
30
32+ 89.88628 0.76963
34
.88632 .76969
36+9 .88635 .76975
38
.88621
.76951
.88828
.88625
.76957
.77311 .89028 .77676
77317 .89032 .77682
.88831 .77323 .89035 .77688
9.88835 0.77329
.88838 .77336 .89042 .77700
.88841 .77342 .89045 .77706 .89247
.88639 .76981 .88845 .77348 .89049 .77712 .89251
.89244
40+10 9.88642 | 0.76988 .9.88848 | 0.77354 | 9.89052 0.77718 9.89254
42
44+11
46
50
.88645
.88649
.88652
.88659
.76994
.88852
.77000
.88855
.77006
.77360
.77366
.88858 .77372
.78458 14
12
48+129.88656 | 0.77012 9.88862 0.77378 9.89066 0.77742 9.89267 0.78104 9.89467 0.78464
.77018 .88865 .77384 .89069 .77748 .89271 .78110 .89470 .78470 10
52+13 .88663 .77024 .88869 .77390 .89072 .77754 .89274 .78116 .89474 78476 8
54
.88666 .77030 .88872 .77396 .89076 .77760 .89277 .78122 .89477 .78482 6
56+14 9.88670 0.77036 9.88876 0.77403 9.89079 0.77766 9.89281 0.78128 9.89480 0.78488
0.770369.88876
| |
58
9.88673 0.77043 9.88879 0.77409 | 9.89083 0.77772 9.89284 0.78134.9.89484 0.78494
| | |
4
2
9.89039 0.77694 9.89241 0.78056 9.89441 0.78416 28
.78062 .89444 .78422 26
.78068 .89447 .78428 24
.78074 .89450 .78434 22
0.78080 | 9.89454 | 0.78440 20
.89056 .77724 .89257 .78086 .89457 .78446 18
.89059 .77730 .89261 .78092 .89460
.89062 .77736 .89264 .78098 .89464
.78452 16
15h 49m
15h 47m
15h 45m
15h 43m
15h 41m
8h 11m 122° 30'
8
0+15
2
8h 13m 123° 0′
9.88882 0.77415
.88886
.77412
4+16
6
.88893 .77433
.88714 .77116 .88920
.77475
.77482
.89120
.89123
8h 15m 123° 30′ 8h 17m 124° 0′ 8h 19m 124° 30′
9.88677 0.77049
9.89086 0.77779 9.89287 0.78140 9.89487 0.78500 60
.88680 .77055
.89089 .77785 .89291 .78146 .89490 .78506 58
.88683 .77061
.89493 .78512 56
.88687 .77067
.89096 .77797 .89298 .78158 .89497 .78518 54
8+17 9.88690 | 0.77073 | 9.88896 | 0.774399.89099 0.77803 9.89301 0.78164 | 9.89500 | 0.78524 | 52
10
.88694 .77079 .88899 .77445 .89102 .77809 .89304 .78170 .89503
12+18 .88697 .77085 .88903 .77451 .89106 .77815 .89308 .78176
14
.88701 .77092 .88906 .77457 .89110 .77821 .89311 .78182 .89510
16+19 9.88704 0.77098 9.88910 0.77463 9.89113 0.77827 9.89314 0.78188 9.89513
18
.88708 .77104 .88913 .77469 .89116 .77833 .89318 .78194
20+20 .88711 .77110 .88916
.77839 .89321 .78200
22
.77845 .89324 .78206
24+21 9.88718 0.77122 9.88923 0.77488 9.89126 0.77851 9.89328 0.78212 9.89527 0.78572
|
8

.88889 .77427 .89093 77791 .89294 .78152
.78530 50
.89507
.78536 48
.78542 46
0.78548 44
.89517
.89520 .78560 40
.89523 .78566 38
.78554 42
26
28+22
.88721 .77128 .88927 .77494
.88725 .77134 .88930 .77500
30
.88728 .77140 .88933 .77506
34
.88940
.77518
36+24
38
.89130 .77857 .89331 .78218
.89133 .77863 .89334 .78224
.89137 .77869 .89338 .78230
| || 36
.89530 .78577 34
.89533 .78583 32
.89536 .78589 30
32+23 9.88732 0.77147 9.88937 0.77512 9.89140 0.77875 9.89341 0.78236 9.89540 0.78595 28
| |
| |
.88735 .77153
.89143
.88739 .77159 .88944 .77524 .89147
.88742 .77165 .88947 .77530 .89150
.77881
.89344
.78242 .89543 .78601 26
.77887
.89348
.78248
.89546
.78607 24
.77893
.89351
.78254
.89550
.78613 22
40+25 9.88745 0.77171 9.88950 0.775369.89153
42
.88749 .77177 .88954 .7542 .89157
44+26 .88752 .77183
0.77899 9.89354 0.78260 9.89553
0.78619 20
.77905 .89358 .78266
.89556 .78625 18
46
.88957
.88961
.77929 .89371
.77548 .89160 .77911 .89361 .78272 .89559 .78531 16
.88756 .77189
.77554 .89163 .77917 .89364 .78278 .89563 .78637 14
48+27 9.88759 0.77195 9.88964 0.77560 9.89167 0.77923 9.89368 0.78284 9.89566 0.78643 12
| | | ||
50
.88763 .77201 .88967 .77567 .89170
52+28 .88766 .77208 .88971 .77573 .89174 .77936 .89374
54
.88769 .77214 .88974 .77579 .89177 .77942 .89378
56+29 9.88773 0.77220 9.88978 0.77585 9.89180 0.77948 9.89381 0.78308
58
.88776 .77226 .88981 .77591 .89184 .77954 .89384 .78314
60+30 9.88780 0.772329.88984 0.77597 9.89187 0.77960 9.89387 0.78320 9.89586 0.78679
.78290
.89569 .78649 10
.78296
.78302
.89573 .78655 8
.89576 78661 6
9.89579 0.78667
.89583 .78673
4
2
15h 48m
15h 40m
15h 46m
15h 42m
15h 44m

Page 142]
TABLE IV.
Haversines.
8h 20m 125° 0'
8 Log. IIav. Nat. IIav.
Sh 22m 125° 30′
Log. IIav. Nat. Hav.
0
2
09.89586 0.78679
.89589 .78685
9.89782 | 0.79035
8h 2.4m 126° 0′
Log. Hav. Nat. Hav.
9.89976 | 0.79389
8h 26m 126° 30' 8h 28m 127° 0'
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. 8
9.90168 | 0.79741 | 9.90358 | 0.80091 | 60
.89785
.79041
.89979
.79395
.90171
.79747
.90361
.80097 | 58
4+ 1
.89592 .78691
.89789
.79047
.89983
.79401
.90175
.79753
.90365
.80102 | 56
6
.89596 .78697
.89792
.79053
.89986
.79407 .90178
.79759
.90368
.80108 54
8+ 2 | 9.89599 | 0.78703 | 9.89795 | 0.79059 | 9.89989
0.79413|| 9.90181 | 0.79765 || 9.90371
0.80114 | 52
10
.89602
.78709
.89798
12+ 3
.89606
.78715
.89802
14
.89609
.78721
.89805
.79065 .89992 79419 .90184
.79071 .89995 79425 .90187
.79077 .89999 .79430 .90191
.79770
.90374
.80120 | 50
.79776
.90377
.80126 48
.79782
.90380
.80131 46
16+ 4 9.89612
18
20+ 5
.89615
.89619
.78732
.78738
22
.89622 .78744
24
26
.89628
.78756
.89824
.79112
.90018
28.89632
.78762
.89828
.79118
80
*.89635
.78768
.89831
.79124
32+ 89.89638 | 0.78774
9.89834
0.79130
34
*.89642 .78780
.89837
.79136
36+ 9.89645
.78786
38
.89648 .78792
40+10 9.89651 0.78798
42
.89655 .78804
44+11
.89658
.78810
.89661
.78816
46
48+12 9.89665 | 0.788229.89860 0.79177 9.90053 0.79530
50
.89668 .78828 .89863 .79183 .90056 .79536
52+13 .89671 .78834 .89866 .79189 .90060 .79542
.89674 .78839 .89870 .79195 .90063 .79548
54
58
.80236 10
.90251 .79899 .90440 .80242 8
.90254 .79893 .90443 .80247 6
56+149.89678 0.78845 9.89873 0.79201 9.90066 0.79554 | 9.90257 0.79905 9.90446 0.80253
9.89681 0.78851 9.89876 0.79207 9.90069 0.79560 9.90260 0.79910 .9.90449 | 0.80259
42
0.78726 || 9.89808 0.79082 9.90002 0.79436 9.90194 0.79788 9.90383 0.80137 44
.89811 .79088 .90005 .79442 .90197. .79794 .90387 .80143 42
.89815 .79094 .90008 .79448 .90200 .78800 .90390 .80149 40
.89818 .79100 .90012 .79454 .90203 .79805 .90393 .80155 38
69.89625 | 0.78750 | 9.89821 | 0.79106 | 9.90015 0.79460 9.90206 0.79811| 9.90396 | 0.80160 36
79466 .90210 .79817 .90399 .80166 34
.90021 .79471 .90213 .79823 .90402 .80172 32
.90024 .79477 .90216 .79829 .90405 .80178 30
9.90028 0.79483 9.90219 0.79835 9.90409 | 0.80184|| 28
.90031 .79489 .90222 .79840 .90412 .80189 26
.89840 .79142 .90034 .79495 .90225 .70846 .90415
.89844 .79148 .90037 .79501 .90229 .79852 .90418
9.89847 0.79153 9.90040 0.79507 9.90232 0.79858 | 9.90421 | 0.80207 20
.89850 .79159 .90044 .79513
.79864 .90425 .80213 18
.89853 .79165 .90047 .79519
.89857 .79171 .90050
.80195 24
.80201 22
.90235
.90238
.79870
.90428
.80218 16
.79524
.90241
.79875
.90431
.80224 | 14
9.90244
0.79881
9.90434
0.80230| 12
.90248
.79887
.90437
15h 39m
15h37m
15h 35m
8h 21m 125° 0'
8h 28m 125° 30'
8h 25m 126° 0'
15h 33m
8h 27m 126° 30′
15h 81m
8h 29m 127° 0'
8
8

2
4+16
6
18
20+420
22
26
28+22
30
.89730 .78940
.89733 .78946
.89925 .79295 .90117
.89928 .79301 .901.20
34
44-4-26
.90076 .79571 .90267 .79922 .90456 .80270 58
.90079 .79577 .90270 .79928 .90459 .80276 56
.89694 .78875 .89889 .79230 .90082 .79583 .90273 .79934 .90462 .80282 54
8+17 9.89697 0.78881 9.89892 0.792369.90085 0.795899.90276 0.799409.90465 0.80288 | 52
10
.89701 .78887 .89896 .79242 .90088 .79595 .90279 .79945 .90468 .80294 50
12+18 .89704 .78893 .89899 .79248 .90092 .79601 .90282 .79951 .90471 .80299 48
14
.89707 .78899 .89902 .79254 .90095 .79607 .90286 .79957 .90475
16+19 9.897100.78905 9.89905 0.792609.90098 0.79612 9.90289 0.79963 9.90478 0.80311|44
.89714 .78911 .89908 .79266 .90101 .79618 .90292 .79969 .90481
.89717 .78917 .89912 .79271 .90104 .79624 .90295 .79974 .90484
.89720 .78923 .89915 .79277 .90108 .79630 .90298 .79980
24+219.89723 0.78928|9.89918 0.792839.90111 0.79636 9.90301 0.79986 9.90490
.89727 .78934 .89921 .79289 .90114 .79642 .90305 .79992
.79648 .90308
.79998
79653 .90311 .80004
32+239.89736 0.78952 9.89931 0.79307 9.90124 0.79659 9.90314 0.800099.90503 | 0.80357
.89740 .78958 .89934 .79313 .90127 .79665 .90317 .80015
.89743 .78964
36+24
.89938 .79319 .90130 .79671 .90320 .80021
.89746
38
.78970 .89941 .79325 .90133 .79677 .90324 .80027
40+15 9.89749 0.78976 9.89944 0.79330 9.90136 0.79683 9.90327 0.80033 9.90515
.89753 .78982 .89947 .79336 .90140 .79688
42
.90330 .80038 .90518
.89756 .78988 .89950 .79342 .90143 .79694 .90333 .80044 .90521
.89759 .78994 .89954
46
.79348 .90146
.90336
.79700
.80050 .90524
48+27 9.89763 0.79000.9.89957 0.79354 9.90149 0.79706 9.90339 0.80056 9.90527
.89766 .79006 .89960
50
.79360 .90152 .79712 .90342 .80062 .90531 .80409 10
.89769 .79011 .89963
52+28
.79366 .90356 .79718 .90346 .80068 .90534 .80415 8
.79017
.89772
.89966 .79372
54
.90159 .79724 .90349 .80073 .90537 .80421 6
4
56+29 9.89776 0.79023 9.89970 0.79377 9.90162 0.79729 9.90352 0.80079 9.90540 0.80427
.79029 .89973
.89779
.79383 .90165 .79735
58
.90355 .80085 .90543 .80432
60+30 9.89782 0.79035 9.89976 0.79389 9.90168 0.79741 9.90358 0.80091 9.90546 0.80438
0+15 | 9.89684 | 0.78857 9.89879 0.79212.9.90072 | 0.79565 9.90264 0.79916 9.90452 0.80265 60
.89687 .78863 .89883 .79218
.89691 .78869 .89886 .79224
.80305 46
.8031742
.80323 40
.90487
.80328 38
0.80334 36
.90493
.80340 | 34
.90496
.80346 32
.90499
.80351
30
28
.90506 .80363
26
.90509
.80369 24
.90512
.8037522
0.80380 20
.80386 18
.80392 16
.80398 14
0.80403 12
2
15h 38m
15h 30m
15h 36m
15h 32m
15h 34m

TABLE IV.
[Page 143
Haversines.
S
0
2
4+ 1
6
14
.90568 .80478
18
.90574 .80490
20+ 5 .90577 .80496
22
.90760 .80835
26
28+
80
34
44+11
8h 30m 127° 30' 8h 32m 128° 0' 8h 34m 128° 30' 8h 36m 129° 0' 8h 88m 129° 30′
Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. IIav. Nat. IIav. Log. Hav. Nat. IIav. Log. IIav. Nat. IIav.
09.90546 0.80438 9.90732 0.80783 9.90916 0.811269.91098 0.81466 9.91277 0.81804 60
.80444
.90549
.90735 .80789 .90919 .81131 .91101 .81472
.81810 58
.91280
.90552 .80450 .90738 .80795 .90922 .81137 .91104 .81477 .91283 .81815 56
.90556 .80455 .90741 .80800.90925 .81143 .91107 .81483 .91286 .81821 54
8+ 29.90559 0.80461 9.90744 0.80806 9.90928 0.81148 9.91110 0.81489 9.91289 0.81826 | 52
10
.90562 .80467 .90747 .80812 .90931 .81154 .91113 .81494 .91292 .81832
.90565
12+ 3
.80473 .90751 .80817 .90934 .81160 .91116 .81500 .91295 .81838 48
.90754 .80823 .90937 .81165 .91119 .81506 .91298 .81843 46
1649.90571 0.80484 9.90757 0.80829 9.90940 0.81171 9.91122 0.815119.91301
.90943 .81177 .91125 .81517 .91304
.90763 .80840 .90946 .81183 .91128 .81523 .91307
.90580 .80502 .90766 .80846 .90949 .81188 .91131 .81528 .91310 .81866 38
2469.90584 0.80507 9.90769 0.80852 9.90952 | 0.81194 9.91134 0.815349.91313 | 0.81871
.90587 .80513 .90772 .80858 .90955 .81200 .91137 .81539 .91316 .81877 34
.90590 .80519 .90775 .80863 .90958 .81205 .91140 .81545
.90593 .80525 .90778 .80869 .90962 .81211 .91143
8289.90596 0.80530 9.90781 0.80875 9.90965 0.81217 9.91146 0.81556
.90599 .80536 .90784 .80880 .90968 .81222 .91149 .81562
36+9 .90602 .80542 .90787 .80886 .90971 .81228 .91152 .81568 .91331 .81905 | 24
88
.90605 .80548 .90790 .80892 .90974 .81234 .91155 .81573 .91334 .81910 22
40+10 9.90608 0.80553 9.90794 0.80898 9.90977 0.81239 9.91158 0.815799.91337 0.81916 20
42
.90611 .80559 .90797 .80903 .90980 .81245 .91161 .81585 .91340 .81922 18
.90615 .80565 .90800 .80909 .90983 .81251 .91164 .81590
46
.90618 .80571 .90803 .80915 .90986 .81256 .91167
48+12 9.90621 0.80576 9.90806 0.80920 9.90989 0.81262 9.91170 0.81601 9.91349 0.81938 12
50
.90624 .80582 .90809 .80926 .90992 .81268 .91173 .81607 .91352 .81944 10
52+13 .90627 .80588 .90812 .80932 .90995 .81273 .91176 .81613 .91355 .81950 8
54
.90630 .80594 .90815 .80938 .90998 .81279 .91179 .81618 .91358 .81955 6
56-14 9.90633 0.80599 9.90818 0.80943 9.91001 0.81285 9.91182 0.81624 9.91361 0.81961
58 9.90636 0.80605 9.90821 0.80949 9.91004 0.81291 9.91185 0.81630 | 9.91364 | 0.81966
0.81849 44
.81854 42
.81860 40
36
.91319
.81882 32
.81551
.91322
.81888 30
9.91325
0.81894 28
.91328
.81899 | 26
.91343
.81927 | 16
.81596
.91346
.81933 14
4
2
15h 29m
15h 27m
S
6
22
.81006 .91034 .81347
.81012 .91037 .81353
81017 .91040 .81359
15h 25m
8h 31m 127° 30' Sh 33m 128° 0′ Sh 35m 128° 30' Sh 37m 129° 0' Sh 39m 129° 30'
0+15 9.90639 0.806119.90824 0.80955 9.91007 0.81296 9.91188 0.81635 9.91367 0.81972 60
2
.90642 .80617 .90827 .80960 .91010 .81302 .91191 .81641 .91369
4+16 .90646 .80622 .90830 .80966 .91013 .81308 .91194 .81647 .91372
.90646 .80628 .90833 .80972 .91016 .81313 .91197 .81652 .91375
8+179.90652 0.80634 9.90836 0.80978 9.91019 0.81319 9.91200 0.81658 9.91378 0.81994
10
.90655 .80640 .90840 .80983 .91022 .81325 .91203 .81663 .91381
12--18 .90658 .80645 .90843 .80989 .91025 .81330 .91206 .81669 .91384
14
.90661 .80651 .90846 .80995 .91028 .81336 .91209 .81675 .91387
16+19 9.90664 0.80657 9.90849 0.81000 9.91031 0.81342 9.91212 | 0.81680 | 9.91390
18
.90667 .80663 .90852
20-1-20 .90670 .80668 .90855
.90673 .80674 .90858
15h 28m
15h 21m
S

.81978 | 58
.81983 56
.81989 54
52
.82000 | 50
.82005 48
.82011 46
0.82017
44
.91215
.81686
.91218
.91221
.81692
.91393
.91396
.81697 .91399
.82022 42
.82028 40
.82033
38
24-1-21 9.90676 0.80680 9.90861 0.81023 | 9.91043 | 0.81364 | 9.91224 | 0.81703 | 9.91402 | 0.82039
36
26
28+22
30
.90680
.80686
.90683
.80691
.80697
.90864
.90867
.90870
.81029
.91046
.81035
.91049
.81040
.91052
.91245 .81742 .91423 .82078 22
.90686
32-23 9.90689 0.80703 9.90873 | 0.81046|| 9.91055 0.813879.91236 0.817259.91414 | 0.82061
32-239.90689 | | |
34
.90692 .80709 .90876 .81052 .91058 .81392
36+24 .90695 .80714 .90879 .81057 .91061
38
.90698 .80720 .90882 .81063 .91064
40+-25 9.90701 0.80726 9.90885 0.81068 9.91067
42
.90704 .80731 .90888 .81074 .91071
44+26 .90707 .80737
.90710
.80743
.90892 .81080
.91074
.90895 .81086
.91077
.81398
.81404
.81415
.81421-
.81426
.91251
.91254
0.814099.91248 | 0.81748 9.91426 0.82084 20
.81753 .91429 .82089 18
.81759 .91432 .82095 16
.91257 .81765 .91435 .82100 14
48+27 9.90714 | 0.80749 | 9.90898 0.81092 9.91080 | 0.81432 || 9.91260 0.81770 9.91437
46
0.82106 | 12
50
.90717
52+28
54
.90720
.80754
.80760
.90901 .81097 .91083
.90723
.90904 .81103 .91086
.80766 .90907 .81109 .91089
.81438 .91263 .81776 .91440 .82112 | 10
.81443 .91265 .81781 .91443 .82117 8
.81449 .91268 .81787 .91446 .82123 6
.91230
.91233
.81370 .91227 .81708 .91405
.81376
.81381
.81714
.81720
.91408
.82045 34
.82050 | 32
.91411
.82056 30
| | 28
.91239 .81731
.91417
.82067 | 26
.91242 .81737
.91420
.82072 24
56+29 9.90726 0.80772 9.90910 0.81114 9.91092 0.81455 9.91271 0.81793 9.91449 0.82128
58
.90729 .80777 .90913 .81120 .91095 .81460 .91274 .81798 .91452 .82134 2
60+30 9.90732 0.80783 | 9.90916 0.81126 9.91098 0.81466 9.91277 0.81804 9.91455 | 0.82139
15h 26m
15h 28m
15h 22m
15h 24m
15h 20m

Page 144]
TABLE IV.
Haversines.
8h 40m 130° 0'
S
8h 42m 130° 30′ 8h 44m 131° 0′
Log. Hav. Nat. IIav. Log. Hav. Nat. IIav. Log. IIav. Nat. Hav.
8h 46m 131° 30′ 8h 48m 132° 0'
Log. IIav. Nat. IIav. Log. Hav. Nat. Hav.
の
​0
2
4+ 1 .91461 .82151 .91637
6
.91819
.91822
09.91455 0.82139 9.91631 0.82472 9.91805 0.82803 9.91976 0.83131| 9.92146 | 0.83457 60
.91458 .82145 .91634 .82478 .91807 .82808 .91979 .83136
.82483 .91810 .82814 .91982 .83142
.91464 .82156 .91640 .82489 .91813 .82819 .91985 .83147
8+ 29.91467 0.821629.91643 0.82495|9.91816 | 0.82825 | 9.91988 0.83153 9.92157
10
.91470 .82167 .91645
12+ 4 .91473 .82173
.92149 .83462 58
.92152
.83467 56
.92154
.83473 | 54
0.83478 52
14
18
20+ 5
22
.82195
.82200
24+ 6
26
.91493
.82212
.91669
28+ y
.91496
.82217
.91672
9.91490 | 0.82206 | 9.91666 | 0.82539 | 9.91839 | 0.82869
.91842 .82874
.91845 .82880
.82544
.82500
.82830 .91991 .83158 .92160
.91648 .82506
.82836 .91993 .83164 .92163
.91476 .82178 .91651 .82511 .91825 .82841 .91996 .83169 .92166
1649.91479 0.821849.91654 0.82517 | 9.91828 0.828479.91999 0.83175 9.92169 0.83500 44
.91482 .82189 .91657 .82522 .91830 .82852 .92002 .83180 .92171 .8350542
.91485
.91660 .82528 .91833 .82858 .92005 .83185 .92174 .83511 40
.91488
.91663 .82533 .91836 .82863 .92008 .83191 .92177 .83516 38
9.92010 | 0.83196
.92013 .83202
.83484 50
.83489 48
.83494 46
9.92180 | 0.83521|36
.92183 .83527 34
.82550
.92016
.83207
30
.91499
.82223
.91674
328 9.91502 | 0.82228
34
36+9
38
42
44+11
46
.82555 .91848
9.91677 0.82561 9.91851 0.82891
.91505 .82234 .91680 .82566 .91853 .82896
.83224
.91508 .82240 .91683 .82572 .91856 .82902 .92027 .83229
.91511 .82245 .91686 .82577 .91859 .82907 .92030 .83234
40+109.91514 0.82251 9.91689 0.82583 9.91862 | 0.82913 9.92033 0.83240
.91517 .82256 .91692 .82588 .91865 .82918 .92036 .83245 .92205
.91520 .82262 .91695 .82594 .91868 .82924
.91523 .82267 .91698 .82599 .91871 .82929
.82885
.92019
.83213
9.92022
0.83218
.92185 .83532 32
.92188 .83538 30
9.92191 0.83543 28
.92025
.92194 .83548 26
.92197 .83554 24
.92199 .83559 22
9.92202 0.83564|| 20
|
.83570 18
.92039
.83251 .92208
.83575 16
.92042
.83256 .92211
.83581 14
.92047
.92050
48+12 9.91526 0.82273 9.91701 0.82605 9.91874 0.82934 9.92044 0.83262 9.92213 0.83586 12
50
.91529 .82278 .91703 .82610
52+13 .91532 .82284 .91706 .82616
54
.83267 .92216 .83591 10
.83272 .92219 .83597 8
.92053 .83278 .92222 .83602 6
.91876 .82940
.91879 .82945
.91534 .82290 .91709 .82621 .91882 .82951
56+14 9.91537 0.82295 9.91712 0.82627 9.91885 0.82956 9.92056 0.83283 9.92225 0.83608 4
9.91540 0.82301 9.91715 0.82632 9.91888 0.82962 9.92059 0.83289 9.92227 0.83613
58
62
8
6
15h 19m
15h 17m
8h 41m 130° 0′ 8h 43m 130° 30'
0+15 9.91543 0.82306 9.91718 0.82638
2
.91546 .82312 .91721 .82644
4+16 .91549 .82317 .91724 .82649
.82655
15h 15m
15h 13m
15h 11m
.91552 .82323 .91727
8h 45m 131° 0′ | 8h 47m 131° 30:
9.91891 0.82967 9.92061 0.83294 9.92230 0.83618 60
.91894 .82973 .92064 .83300 .92233 .83624 58
.91896 .82978 .92067 .83305 .92236
.91899 .82984 .92070 .83310 .92239
8h 49m 132° 0'
の
​
.83629 56
.83635 54
10
.91558 .82334 .91732
.82666
20+20
22
12+18
.91735
14
.91564 .82345 .91738
16+19 9.91567 0.82351 9.91741
18
.91570 .82356 .91744
.91573 .82362 .91747
.91575 .82367 .91750
.91561 .82339
.82671
.82677
0.82682
.82688
.82693
8+179.91555 0.82328 9.91730 0.82660 9.91902 0.82989 9.92073 0.83316 9.92241
.91905 .82995 .92076 .83321 .92244
.91908 .83000 .92078 .83327 .92247
.91911 .83006 .92081 .83332 .92250
9.91914 0.83011 9.92084 0.833379.92253 0.83661 44
.91916 .83016 .92087 .83343 .92255 .83667 42
.91919 .83022 .92090 .83348 .92258 .83672 40
0.83640 52
.83645 50
.83651 48
.83656 46
28+22
.82699 .91922 .83027 .92093 .83354 .92261 .83678 38
24+21 9.91578 0.82373 9.91753 0.827049.91925 0.83033 9.92095 0.83359 9.92264 0.83683 36
26
.91581 .82378 .91756 .82710 .91928 .83038 .92098 .83365 .92266
.91584 .82384 .91758 .82715 .91931 .83044 .92101 .83370 .92269
.91587 .82389 .91761 .82721 .91934 .83049 .92104 .83375 .92272
.83688 | 34
34
.82445 .91790
.91965
.91968
30
32+23 9.91590 0.82395 9.91764 0.82726 9.91936 0.83055 9.92107 0.83381 9.92275 0.83704 28
.91593 .82400 .91767 .82732 .91939 .83060 .92109 .83386 .92278 .83710 26
36+24 .91596 .82406 .91770 .82737 .91942 .83066 .92112 .83392 .92280 .83715 24
38
.91599 .82412 .91773 .82743 .91945 .83071 .92115 .83397 .92283 .83720 22
40+25 9.91602 0.82417 9.91776 0.82748 9.91948 | 0.830779.92118 0.83402 9.92286 0.83726 20
.91605 .82423 .91779
42
.82754 .91951 .83082 .92121 .83408 .92289 .83731 18
.91608 .82428 .91782
44+26
.82759 .91954 .83087 .92124 .83413 .92292 .83737 | 16
.82434
.91610
46
.91784 .82765 .91956 .83093 .92126 .83419 .92294 .83742 14
48+27 9.91613 0.82439 9.91787 0.82770 9.91959 0.83098 9.92129 0.83424 9.92297
.91616
.82776
50
.91962 .83104 .92132 .83430
.82450 .91793 .82781
52+28 .91619
.82456 .91796 .82786
54
.91622
56+29 9.91625 0.82461 9.91799 0.82792 9.91971 0.83120 9.92140 0.83446 9.92308
.82467 .91802 .82797
58
.91628
.91973
.92143
.83126
.83451
60+30 9.91631 0.82472 9.91805 0.82803 9.91976 0.83131 9.92146 0.83457
.83694 32
.83699 30
0.83747
.92300 .83753
12
10
.83109
.83115
.92135
.92138
.83435
.92303
.83758 8
.83440
.92305
.83763 6
0.83769
.92311 .83774
9.92314 | 0.83780
2
15h 18m
15h 10m
15h 16m
15h 12m
15h 14m

TABLE IV.
[Page 145
Haversines.
S
8h 50m 132° 30′
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
8h 52m 133° 0'
8h 54m 133° 30'
0
2
4+ 1
6
8h 56m 134° 0' 8h 58m 134° 30'
Log. Hav. Nat. Hav. Log. IIav. Nat. Hav. S
Log. Hav. Nat. IIav.
09.92314 0.83780 9.92480 0.84100 9.92643 0.84418 9.92805 0.84733 9.92965 | 0.85045 | 60
.92317 .83785 .92482 .84105 .92646 .84423 .92808 .84738 .92968 .8505158
.92319 .83790 .92485 .84111 .92649 .84428 .92811 .84743 .92970 .85056 56
.92322 .83796 .92488 .84116 .92652 .84434 .92813 .84749 .92973 .85061 54
8+ 2 9.92325 0.83801 9.92491 0.84121 9.92654 0.84439 | 9.92816 0.84754 9.92975 | 0.85066
|
| | | 52
10
.92328
.92657
.92330
.92660
.92333
.92662
9 92665
22
26
28+ my
30
32
.83806 .92493 .84127
12+ 3
.83812 .92496 .84132
14
.83817 .92499 .84137
16+ 49.92336 0.83822 9.92502 0.84142
18
.92339 .83828 .92504 .84148
20+ 5 .92342 .83833 .92507 .84153 .92670 .84470 .92832 .84785
.92344 .83838 .92510 .84158 .92673 .84476 .92835 .84790
2469.92347 0.83844 9.92512 0.84164 9.92676 0.84481 9.92837 0.84796 9.92997 0.85108|| 36
.92350 .83849 .92515 .84169 .92679 .84486 .92840 .84801 .93001
.92353 .83855 .92518 .84174 .92681 .84492 .92843 .84806 .93002
.92355 .83860 .92521 .84180 .92684
89.92358 0.838659.92523 0.84185 9.92687 0.84502
.84444
.92819
.84759
.92978
.85071 50
.84449
.92821
.84764
.92981
.85077 48
.84455
.92824
.84770
.92984
.85082 46
0.84460
9.92827
0.84775
9.92986
0.85087 | 44
.92668 .84465
.92829
.84780
.92989
.85092 42
.92992
.85097 40
.92994
.85102 38
.85113 | 34
.84497
.92845
.84811
.93005
.85118 32
.85123 30
9.92848
0.84817
9.93007
0.85128 | 28
34
.92689
.92692
38
42
.92372
58
.92361 .83871 .92526 .84190
36+9 .92364 .83876 .92529 .84196
.92366 .83881 .92532 .84201
40+109.92369 0.83887 9.92534 0.84206 9.92698 | 0.84523 9.92859 0.84837 9.93018 0.85149 20
.83892 .92537 .84211 .92700 .84528 .92861 .84843
44+11 .92375 .83897 .92540 .84217 .92703 .84534 .92864
46
.92378 .83903 .92543 .84222 .92706 .84539 .92867
48+12 9.92380 0.83908 9.92545 0.84227 9.92708 0.84544 9.92869 0.84858 9.93029
50
.92383 .83913 .92548 .84233
.92872 .84863 .93031
52+13 .92386 .83919 .92551 .84238 .92714 .84555 .92875 .84869 .93034 .85180 8
54
.92389 .83924 .92554 .84243 .92716 .84560 .92877 .84874 .93036 .85185 6
56+14 | 9.92391 | 0.839299.92556 0.84249 9.92719 0.84565 9.92880 0.84879 9.93039 0.85190 4
9.92394 0.83935 | 9.92559 0.84254 9.92722 0.84570 | 9.92883 0.848849.93042 0.85196 2
.84507
.92851
.84822
.93010
.85134 26
.84513
.92853
.84827 .93013
.85139 24
.92695 .84518
.92856
.84832 .93015
.85144 22
.93021
.85154 18
.84848
.84853
.93023
.85159 16
.93026
.85165 14
0.85170 12
.92711 .84549
.85175 10
15h 9m
15h 7m
15h 5m
15h sm
15h 1m
8h 51m 132° 30′ 8h 58m 133° 0'
8
0+15
2
9.92397 | 0.83940 | 9.92562 | 0.84259
.92400 .83945
.92564
4+16
.92402
.83951
.92567
.84264
.84270
.92730
6
.92405 .83956 .92570 .84275
.92733
8h 55m 133° 30' 8h 57m 134° 0'
9.92725 | 0.84576 9.92885 0.84890
.92727 .84581 .92888 .84895
.84586 .92891 .84900
.84591 .92893 .84905
Sh 59m 134° 30'
9.93044 | 0.85201
8
60

.93047
.85206 58
.93050
.85211 56
.92749
.92427 .83999 .92592
.84312
.84317
.92751
.92754
8+17 9.92408 0.83961 9.92573 0.84280 9.92735
10
.92411 .83967 .92575 .84286 .92738
12+18 .92413 .83972 .92578 .84291 .92741
.84921
14
.92416 .83977 .92581 .84296 .92743
.84926
16+19 9.92419 0.83983 9.92584 0.84302 9.92746 0.84618 9.92907 0.84931 9.93065 0.85242 44
18
.92422 .83988 .92586 .84307
.84623 .92909 .84936 .93068
20+20 .92425 .83993 .92589
.84628 .92912 .84942 .93071
22
.84633 .92915 .84947 .93073
.93052 .85216 54
0.84597 9.92896 0.84910 9.93055 0.85221 52
.84602 .92899 .84916 .93057
.85227 50
.84607
.92901
.93060
.85232 48
.84612
.92904
.93063
.85237 46
.85247 42
.85252 40
.85258 38
44+26
46
50
.84391 .92792 .84707
52+28
.84397
.84402
24+21 9.92430 0.84004 9.92594 0.84323 9.92757 0.84639 9.92917 0.84952 9.93076 0.85263 36
26
.92433 .84009 .92597 .84328 .92760 .84644 .92920 .84957 .93079 .85268 34
28+22 .92436 .84015 .92600 .84333 .92762 .84649 .92923 .84962 .93081 .85273 32
30
.92438 .84020 .92603 .84339 .92765 .84654 .92925 .84968 .93084 .85278 80
32+23 9.92441 0.84025 9.92605 0.84344 9.92768 0.84660 9.92928 0.84973 9.93086 0.85283 28
34
.92444 .84031 .92608 .84349 .92770 .84665 .92931 .84978 .93089
36+24 .92447 .84036 .92611 .84354 .92773 .84670 .92933 .84983 .93092 .85294 24
38
.92449 .84041 .92613 .84360 .92776 .84675 .92936 .84988 .93094 .85299 22
40+25 9.92452 0.84047 9.92616 0.84365 9.92778 0.84681 9.92939 0.84994 9.93097 0.85304 20
42
.92455 .84052 .92619 .84370 .92781 .84686 .92941 .84999 .93100
.92458 .84057 .92622 .84376 .92784 .84691 .92944 .85004 .93102
.92460 .84063 .92624 .84381 .92786 .84696 .92947 .85009 .93105
48+27 9.92463 0.84068 9.92627 0.84386 9.92789 0.84702 9.92949 0.85014 9.93107
.92466 .84073 .92630
.92469 .84079 .92633
54
.92471 .84084 .92635
564-29 9.92474 0.84089 9.92638 0.84407 9.92800 0.84722 9.92960 0.85035 9.93118 0.85345
58
.92477 .84095 .92641 .84412 .92802 .84728 .92962 .85040 .93120 .85350
60+30 9.92480 0.84100 9.92643 0.84418 9.92805 0.84733 9.92965 0.850459.93123 | 0.85355
.85288 26
.85309 18
.85314 16
.85319 14
0.85324 12
.92952 .85020
.92794 .84712 .92955 .85025
.92797 .84717 .92957 .85030
.93110
.85330 | 10
.93113
.93115
.85335 8
.85340 6
4
15h 8m
15h 6m
15h 4m
15h 2m
15h Om
63355°-17-10

Page 146]
TABLE IV.
Haversines.
S
9h om
135°
9h 4m
136°
9h 8m
137°
9h 12m
S
.87745 56
.877551 52
138° 9h 16m 139°
Log. Hav. Nat. Ilav. Log. Hav. Nat. Hav. Log. Hav. Nat. Ifav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.
09.93123 0.85355 || 9.93433 0.85967 9.93736 0.86568 9.94030 0.871579.94318 0.87735 | 60
.93128 .85366 .93438 .85977 .93741 .86578 .94035 .87167 .94322
.93134 .85376 .93443 .85987 .93746 .86588 .94040 .87177 .94327
.93139 .85386 .93448 .85997 .93751 .86597 .94045 .87186 .94332
49.93144 0.85396 || 9.93454 0.860079.93755 0.86607 9.94050 0.87196 9.94336 0.87774 44
.86017 .93760 .86617 .94055 .87206 .94341 .87783 40
.93464 .86028 .93765 .86627 .94059 .87216 .94346 .87793 86
.93770 .86637 .94064 .87225 .94351 .87802 32
0
4
1
8
2
12
16
20
5 .93149 .85407 .93459
24
6
.93154 .85417
28
32
༡ .93160 .85427 .93469 .86038
.87764 48
89.93165 0.854389.93474 0.86048 9.93775 0.866479.94069 0.87235 9.94355 0.87812 28
36 9 .93170 .85448 .93479 .86058
56 14
40 10 .93175 .85458
44 11 .93181 .85468
48 129.93186 0.85479
52 13 .93191 .85489
9.93196 0.85499
.93780 .86657 .94074 .87245 .94360 .87821 24
.93484 .86068 .93785 .86667 .94079 .87254 .94365 .87831 20
.93489 .86078 .93790 .86677 .94084 .87264 .94369 .87840 16
9.93494 0.86088 9.93795 0.86686 9.94088 0.87274 9.94374 0.87850 12
.93499 .86098 .93800 .86696 .94093 .87283 .94379 .87859 8
9.93504 0.86108 9.93805 0.86706 9.94098 0.87293 | 9.94383 | 0.87869
4
S
9h 1m
0 15
14h 59m
135°
9.93201 | 0.85509
4 16
.93207
.85520
8 17
.93212
.85530
12 18
.93217
.85540
16 19
20 20
.93227
.85560
.93535
24 21
.93232
.85571
.93540
28 22
.93238
.85581
.93545
14h 51m
9h 9m 137°
9.93810 | 0.86716
.93815 .86726
.93820 .86736
.93825 .86746
9.93222 0.85550 9.93530 0.86158 9.93830 0.86756
.86168 .93835 .86765
.93840 .86775
.93845 .86785
14h 55m
9h 5m 136°
9.93509 | 0.86118
.93515 .86128
.93520 .86138
.93525 .86148
14h 47m
14h 43m
.86178
.86189
9h 13m 138° 9h 17m 139°
9.94103 | 0.87303 9.94388 | 0.87878
.94108 .87313 .94393 .87888
.94112 .87322
.94117 .87332
.87907 48
9.94122 0.87342 9.94407 0.87916 44
.94127 .87351 .94412 .87926 40
.94132 .87361 .94416 .87935 36
.94137 .87371 .94421
S
60
56
.94398
.87897 52
.94402
.87945 32
32 23
9.93243 | 0.855919.93550 | 0.86199 | 9.93849 0.86795 9.94141 0.87380 9.94426 0.87954 | 28
36 24
.93248
.85601
.93555
.86209
.93854
40 25
.93253
.85612
.93560
.86219
44 26
.93258 .85622
.93565
.86229
.93859
.93864
48 27
9.93264 0.85632 9.93570
52 28
56 29
S
0 30
4 31
.93889
8 32
.93894
12 33 .93295 .85693 .93600 .86299
.93899
.86805 .94146 .87390 .94430 .87964 24
.86815 .94151 .87400 .94435 .87973 20
.86825 .94156 .87409 .94440 .87983 16
0.86239 9.93869 0.86834 9.94161 0.87419 9.94444 0.87992 12
.93269 .85642 .93575 .86249 .93874 .86844 .94165 .87428
9.93274 | 0.85652 | 9.93580 0.86259 9.93879 0.86854 9.94170 0.87438
14h 58m
14h 54m
14h 50m
14h 46m
9h 2m
135° 9h 6m 136° 9h 10m 137°
9h 14m 138°
9.93279 | 0.85663 9.93585 | 0.86296 | 9.93884 | 0.86864 9.94175 | 0.874489.94458 | 0.88020 60
.93284 .85673 .93590 .86279
.86874 .94180 .87457
.93289 .85683 .93595 .86289
.86884 .94184 .87467
.86893 .94189 .87477 .94472 .88049 48
.94449 .88001
9.94454 0.88011
4
8∞
14h 42m
9h 18m 139° S
.94463
.88030 56
.94468
.88039 52

20 35
24 36
28 37
32 38
36 39
40 40
44 41
.93336
.85774 .93641
52 43
56 44
14h 57m
S
9h sm
135°
0 45
9.93356 | 0.85815
4 46
8 47
12 48
.93362
.93367
.93372
.85825
.85835
.93933 .86962
.93938 .86972 .94227 .87554
48 42 9.93341 0.85785 9.93646 0.86389 9.93943 0.86982 9.94232 0.87563
.85795 .93651
.93346
.86399 .93948 .86991 .94237 .87573
9.93351 0.85805 9.93656 0.86409 9.93952 0.87001 9.94242 0.87582
14h 53m
14h 49m
14h 45m
9h 7m
136° 9h 11m 137° 9h 15m
9h 19m
138°
139°
9.93661 | 0.86419 9.93957 | 0.870119.94246 | 0.87592 9.94528 | 0.88162 | 60
.93666 .86429 .93962
.94251
.87021
.87602 .94533 .88171 56
.93671 .86438 .93967 .87030 .94256 .87611 .94537 .88180 | 52
.93676
.85846
.86448 .93972 .87040 .94261 .87621 .94542 .88190 48
16 349.93300 0.85703 9.93605 0.86309 | 9.93904 0.86903 9.94194 0.87486 9.94477 0.88058 44
.93305 .85713 .93611 .86319 .93908 .86913 .94199 .87496 .94482 .88068 40
.93310 .85724 .93616 .86329 .93913 .86923 .94204 .87505 .94486
.85734
.93315
.93621 .86339 .93918 .86933 .94208 .87515 .94491
9.93320 0.85744 9.93626 0.86349 9.93923 0.86942
.93326 .85754 .93631 .86359 .93928.86952
.93331 .85764 .93636 .86369
.86379
.88077 36
.88086 32
9.94213 0.87525 9.94496 0.88096 28
.94218
.87534 .94500
.88105 24
.94223
.87544 .94505
.88115 20
.94509 .88124 16
9.94514 0.88133 12
.94519 .88143
9.94523 0.88152
14h 41m
8
4
S
16 49
20 50
.93382
24 51
.93387
28 52
.93392
32 53
9.93377 0.85856 | 9.93681 0.86458 9.93977 0.87050 9.94265 0.87630 9.94546
.93686
.93982
.85866
.86468
.87060
.93691 .86478
.85876
.93987 .87070 .94275
.85886 .93696 .86488 .93991 .87079 .94280
9.93397 0.85896 9.93701 0.86498 9.93996 0.870899.94284 0.87669 9.94565
0.88199|44
.94270
.87640
.94551
.88209 40
.87649
.94556
.88218 36
.87659
.94560
.88227 | 32
0.88237 28
36 54
.93403
.85906 .93706
.86508
.94001
40 55
.93408
.85916
.93711
.86518
.94006
44 56
.93413
.85926
.93716
.86528
.94011
.94289
.87099
.87109 .94294 .87688
.87118 .94299 .87697
.87678
.94570
.88246 24
.94574
.88255 20
.94579
.88265 16
48 57 9.93418 0.85937 9.93721 0.86538 9.94016 0.87128 9.94303 0.87707 9.94583 0.88274 12
8888
.85947 .93726 .86548
.85957
.93731
.87138
.94021
.94026
.86558
.87148
|
52
58
.93423
56
59
.93428
60
.87716
.94308
.94313 .87726
.94588 .88284 8
.94593 .88293 4
609.934330.859679.93736 | 0.86568 9.94030 0.87157 9.94318 | 0.87735 9.94597 0.88302
14h 56m
14h 52m
14h 40m
14h 48m
14h 44m

TABLE IV.
[Page 147
9h 20m
Log. Hav. Nat. Hav.
9.94869 | 0.88857
Haversines.
9h 28m 142° 9h 32m
143° 9h 36m
144°
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
9.95134 0.894019.95391 0.899329.95641 | 0.90451 60
.88866 .95138 .89409 .95396 .89941 .95645 .90459 | 56
.88876 .95143 .89418 .95400 .89949 .95649 .90468 52
.88885 .95147 .89427 .95404 .89958 .95654 .90476 48
9.94887 0.88894 9.95151 0.894369.95408 0.899679.95658 0.90485 44
.94892 .88903 .95156 .89445 .95412 .89976 .95662 .90494 40
.94896 .88912 .95160 .89454 .95417 .89984 .95666 .90502 | 36
.94901 .88921 .95164 .89463 .95421 .89993 .95670 .90511 32
140°
9h 24m 141°
S
0
4
1
Log. Hav. Nat. Hav.
09.94597 0.88302
.94602 .88312
.94874
8
2 .94606 .88321
.94878
12
16
20
3 .94611 .88330
49.94616 0.88340
5 .94620 .88349
.94883
24 6
.94625
.88358
28
.94629 .88368
32
8
36 9
.94638 .88386
40 10
.94643 .88396
.95429 .90010
.94914 .88949 .95177 .89490
.95433 .90019 .95682
.95438 .90028 .95686
9.94634 0.883779.94905 | 0.889309.95169 0.89472 9.95425 0.90002 9.95674 0.90519 | 28
.94909 .88940 .95173 .89481
.95678 .90528 24
.90537 20
.90545! 16
12
.95694 .90562 8
44 11 .94648 .88405 .94918 .88958 .95182 .89499
48 129.94652 0.88414 9.94923 0.88967 9.95186 0.89508 9.95442 0.90037 9.95690 | 0.90553
52 13 .94657 .88423 .94927 .88976 .95190 .89517 .95446
56 14 9.94661 0.88433 9.94932 0.88985 9.95195 0.89526 9.95450 0.90054 9.95699 0.90570 4
.90045
S
14h 39m
9h 21m 140°
0 15
4 16
8 17
.94675
14h 35m
14h 31m
14h 27m
9h 25m 141°
9h 29m 142°
9h 33m
143°
9.94666 | 0.88442 9.94936 | 0.88994 9.95199 | 0.89534 9.95454 0.90063
.94670 .88451 .94941 .89003 .95203 .89543 .95459 .90071
.88461 .94945 .89012 .95208 .89552 .95463 .90080
14h 23m
9h 37m
144° S
9.95703 | 0.90579 60
.97507 .90588 56
12 18
16 19
.94680 .88470 .94950 .89022 .95212 .89561 .95467 .90089
9.94684 0.88479 9.94954 0.89031 9.95216 0.89570 9.95471 0.90097 9.95719 0.9061344
.95711
.95715
.90596| 52
.90604 48
20 20
24 21
.94693
28 22
32 23
36 24
40 25
44 26
.94707 .88526
.94711 .88535
.94716 .88544
.94689 .88489 .94958 .89040 .95221 .89579 .95475 .90106
.88498 .94963 .89049 .95225 .89588 .95480 .90115
.94698 .88507 .94967 .89058 .95229 .89597 .95484 .90124
9.94702 | 0.88516 9.94972 0.89067 0.95234 0.89606 9.95488 0.90132 9.95735
.94976 .89076 .95238 .89614 .95492 .90141
.94981 .89085 .95242 .89623 .95496 .90150
.94985 .89094 .95246 .89632 .95501 .90158
.95723
.90621 40
.95727
.90630 | 36
.95731
.90638 32
0.90647 28
.95739 .90655 24
.95743
.95747
.90664 20
.90672 16
52 28
56 29
S
0 30
4 31
48 27 9.94721 0.88553 9.94989 0.89103 9.95251 0.896419.95505 0.90167 9.95751 0.90680 12
.94725 .88563 .94994 .89112
9.94730 0.88572 9.94998 0.89121
14h 38m
14h 34m
14h 30m
9h 22m 140°
9h 26m 141° 9h 30m 142°
9.94734 | 0.88581 9.95003 0.89130 9.95264 | 0.89668
.94739 .88590 .95007 .89139 .95268 .89677
8 32 .94743 .88600 .95011 .89149 .95272 .89685
12 33 .94748 .88609 .95016 .89158 .95276 .89694
16 34 9.94752 0.88618 9.95020 0.89167 9.95281 0.89703 9.95534 0.90227 9.95780 0.90740 | 44
.95255 .89650 .95509 .90176 .95755 .90689 8
9.95259 0.896599.95513 0.901849.95759 0.90697 4
.95530 .90219
14h 26m
14h 22m
9h 34m 143° 9h 38m 144°
9.95517 | 0.90193 9.95763 0.90706 60
.95521 .90201 .95768 .90714 | 56
.95526 .90210 .95772
.95776
S
.90723 52

.90731 48
| |
20 35
.94757
.88627 .95025 .89176
.95285
.89712
24 36 .94761 .88637 .95029 .89185
.95289
.89721
.95294
.89730
.95538 .90236
.95542 .90245 .95788
.95546 .90253 .95792
.95784
.90748 40
.90756 36
.90765 32
8
9.95820 | 0.90824 4
28 37 .94766 .88646 .95033 .89194
32 38 9.94770 0.88655 9.95038 0.89203 9.95298 0.89738 9.95550 0.90262 9.95796 0.90773 28
36 39 .94774 .88664 .95042 .89212 .95302 .89747 .95555 .90271 .95800 .90792 24
40 40 .94779 .88674 .95047 .89221 .95306 .89756 .95559 .90279 .95804 .90790 20
44 41 .94784 .88683 .95051 .89230 .95311 .89765 .95563 .90288 .95808 .90798 16
48 42 9.94788 0.88692 9.95055 0.89239 9.95315 0.89774 9.95567 0.90296 9.95812 0.90807 12
52 43 .94793 .88701 .95060 .89248 .95319 .89783 .95571 .90305 .95816 .90815
56 44 9.94797 0.88710 9.95064 0.89257 9.95323 0.89791
14h 33m
14h 29m
9h 27m 141°
9h 31m 142°
9.95069 | 0.89266 9.95328 | 0.89800
.95073 .89275 .95332 .89809
.95077 .89284 .95336 .89818
.95082 .89293 .95340 .89827
S
0 45
4 46
14h 21m
9h 39m 144° S
9.95824 | 0.90832 60
.95828 .90840 56
.95832 .90849 | 52
9.95575 0.90314
14h 37m
14h 25m
9h 23m
140°
9h 35m 143°
9.94802 | 0.88720
9.95579 | 0.90322
.94806 .88729
.95584 .90331
8 47 .94811 .88738
.95588 .90339
12 48 .94815 .88747
.95592 .90348 .95836 .90857 48
16 49 9.94820 0.88756 9.95086 0.89302 9.75345 0.89835 9.95596 0.90357 9.95840 0.90866 44
20 50 .94824 .88766 .95090 .89311 .95349 .89844 .95600 .90365 .95844
24 51 .94829 .88775 .95095 .89320 .95353 .89853 .95604 .90374 .95848
28 52 .94833 .88784 .95099 .89329 .95357 .89862 .95608 .90382 .95852
32 53 9.94838 0.88793 9.95104 0.893389.95362 0.89870 9.95613 0.90391.9 95856
36 54 .94842 .88802 .95108 .89347 .95366 .89879 .95617 .90399 .95860
40 55 .94847 .88811 .95112 .89356 .95370 .89888.95621 .90408 .95864 .90916 20
44 56 .94851 .88821 .95117 .89365 .95374 .89897 .95625 .90417 .95868 .90924 16
48 57 9.94856 0.88830 9.95121 0.89374 9.95379 0.899069.95629 0.90425 9.95872 0.9093312
52 58 .94860 .88839 .95125 .89383 .95383 .89914 .95633 .90434 .95876 .90941 8
56 59 .94865 .88848 .95130 .89392 .95387 .89923 .95637 .90442 .95880 .90949
60 60 9.94869 0.888579.95134 0.89401 9.95391 0.89932 9.95641 0.904519.95884 0.90958
.90874 40
.90882 | 36
.90891 32
0.90899 28
.90907 24
14h 36m
14h 32m
14h 28m
14h 20m
14h 24m

Page 148]
TABLE IV.
S
0
9h 40m
145°
9h 44m 146°
Haversines.
9h 48m 147°
9h 52m 148°
9h 56m 149°
Log. Hav. Nat. Hav. Log. Hav.] Nat. lav. Log. Hav. Nat. Hav. Log. Hav.| Nat. Hav. Log. Hav. Nat. Hav. S
09.95884 0.90958 9.96119 0.91452 9.96347 0.91934 9.96568 0.92402 9.96782 0.92858
60
4
1
8
2
12
.95888 .90966 .96123
.95892 .90974 .96127
3 .95896 .90983 .96131
.91469 .96351 .91941 .96572 .92410 .96786 .92866 56
.91468 .96355 .91949 .96576 .92418 .96789 .92873 52
.91476 .96359 .91957 .96579 .92426 .96793 .92881 48
16
20
5
.95904 .90999 .96139 .91493
.96366
24
6
.95908 .91008 .96142 .91501
.96370
28
m .95912 .91016
32
89.95916 0.91024
36 9
.95920
.91033
40 10
.95924
.91041
.96158
44 11
.95928
.91049
48
12
9.95932 | 0.91057
52 13
.95936 .91066
49.95900 0.90991 9.96135 0.91484 9.96362 0.91965 | 9.96583 0.924339.96796 0.92888 44
.96586 .92441 .96800 .92896 40
.96590 .92449 .96803 .92903 36
.96146 .91509 .96374 .91989 .96594 .92456 .96807 .92911 32
9.96150 0.915179.96377 0.91997 9.96597 0.924649.968100.92918 | 28
.96154 .91525 .96381 .92005 .96601 .92472 .96814 .92926 24
.91533 .96385 .92013 .96604 .92479 .96817 .92933 20
.96162 .91541 .96388 .92020 .96608 .92487 .96821 .92941 16
9.96165 | 0.91549 | 9.96392 0.92028 9.96612 0.92495 9.96824 0.92948 12
.96169 .91557 .96396 .92036 .96615 .92502 .96827 .92955 8
56 14 9.95939 | 0.91074. 9.96173 0.915659.96400 0.92044 | 9.96619 0.92510 9.96831 0.92963
.91973
.91981
4
14h 19m
་
S
9h 41m
4 16
.91091
14h 11m
9h 45m
145°
146° 9h 49m
147°
0 15 9.95943 | 0.91082 9.96177 | 0.91574 9.96403 | 0.92052
.95947
.96407 .92060
14h 15m
14h 7m
14h 3m
9h 53m 148° 9h 57m 149°
9.96622 | 0.92518 | 9.96834 | 0.92970 60
S
.96181
.91582
.96626
.92525
.96837 .92978 56
8 17
.95951
.91099
.96185
.91590
.96411
.92068
.96630
.92533
.96841
.92985 52
12 18
.95955
.91107
.96188 .91598 .96412
.92076
.96633
.92541
.96845 .92993 48
16 19
9.95959 | 0.91115 9.96192 0.91606 9.96418
20 20
.95963
.91124
.96196
24 21
.95967
.91132 .96200
28 22
.95971
.96204
.91614
.91622
.91630
32 23
36 24
.95979
40 25
.95983
44 26
48 27
52 28
56 29
♡
9h 42m 145°
0 30
9.96002 | 0.91206
4 31
.96006
.91215
.96238
8 32
.96010
.91223
.96242
12
33
.96014
.91231
.96246
16 34
20 35
.96022
24 36
.96026
28 37
.96030
9.96018 | 0.91239 9.96249
.91247 .96253
.91256 .96257
.91264 .96261
32
.91140
.93022 32
9.95975 | 0.91149 9.96208 0.91638 9.96433 | 0.92115 9.96651 0.92579 9.96862 | 0.93030 28
.91157 .96211 .91646 .96437 .92123 .96655 .92586 .96866 .93037 24
.91165 .96215 .91654 .96440 .92130 .96658 .92594 .96869 .93045 20
.95987 .91173 .96219 | ..91662 .96444 .92138 .96662 .92602 .96873 .93052 16
9.95991 | 0.91182 9.96223 0.91670 9.96448 0.92146 9.96665 0.92609 9.96876 0.93059 12
.95995 .91190 .96227 .91678 .96451 .92154 .96669 .92617 .96879 .93067 8
9.95999 | 0.91198 9.96230 0.91686 9.96455 | 0.921629.96673 0.92624 9.96883 0.93074
14h 18m
14h 14m
14h 10m
14h 6m
14h 2m
9h 46m 146° 9h 50m 147° 9h 54m
148° 9h 58m 149°
9.96234 | 0.91694|| 9.96459 | 0.92170 || 9.96676 | 0.92632 9.96886 | 0.93081| 60
.91702 .96462.92177
.91710 .96466 .92185
.91718 .96470 .92193
0.91726 9.96473 0.92201
.91734 .96477 .92209
.91742 .96481 .92216
.91750 .96484 .92224
389.96034 0.91272 9.96265 0.91758 9.96488 0.92232
0.92083
.96422 .92091
.96426 .92099
.96429 .92107
9.96637 | 0.92548 | 9.96848 | 0.93000|44
.96640
.92556
.96852 .93007 40
.96644
.92563
.96855
.93015 | 36
.96648 .92571
.96859
4

S
.96680
.92640
.96890
.93089 | 56
.96683
.92647
.96894
.93096
52
.96687 .92655 .96897
36 39 .96038
.91280
40 40 .96042
.91289
44 41 .96046
48
.96268 .91766 .96492
.96272 .91774 .96495
.91297 .96276 .91782
429.96049 0.91305 9.96280 0.91790
52 44 .96053 .91313 .96283 .91798
56 44 9.96057 0.91321 | 9.96287 0.91806
14h 17m
.92240
.92248
.96708 .92700
.96712
14h 13m
S
0 45
9.96061 | 0.91329
0.93170 12
.96506 .92271 .96722
.93177 8
9.96510 0.92279 | 9.96726 0.92738 | 9.96934 0.93184 4
14h 9m
14h 5m
14h 1m
9h 43m 145° 9h 47m 146° 9h 51m 1470 9h 55m 148° 9h 59m 149°
9.96291 | 0.91814 | 9.96514 | 0.92286 | 9.96729 | 0.927469.96938 | 0.93192 60
.96499 .92255
9.96503 0.92263 9.96719
.96715
.93104 48
9.96690 0.926629.96900 0.93111 44
.96994 .92670 .96904 .93118 40
.96697 .92678 .96907 .9312636
.96701 .92685 .96910 .93133 32
9.96705 0.92693 9.96914 0.93140 28
.96917 .93148 24
.92708 .96921
.92715 .96924
0.92723 9.96928
.92731 .96931
.93155 20
.93162 | 16
の
​4 46
8 47
.96065
.91338
.96295
.91822
.96517 .92294
.96069
.91346
.96299
.91830
.96521
.92302
.96733 .92753 .96941 .93199 56
.96736 .92761 .96945 .93206 52
12 48
16 49
20 50
24 51
28 52
32 539.96092 0.91395
.96073
9.96077 0.91362 9.96306
.96081 .91370 .96310
.96084 .91379 .96314
.96088 .91387 .96317
9.96321
.91354
.96302
.91838
.96525 .92310 .96740 .92768 .96948
.93214 48
36 54
.96096
.91403
40 55
.96100
.91411
44 56
.96104
.91419
.96325
.96329
.96332
.91894
.91902
0.91846 9.96528 0.92317 9.96743 0.92776 9.96951 0.93221 44
.91854 .96532 .92325 .96747 .92783 .96955
.91862 .96536 .92333 .96750 .92791 .96958
.91870 .96539 .92341 .96754 .92798 .96962
0.91878 9.96543 0.92348 9.96758 0.92806 9.96965 0.93250 28
.91886 .96547 .92356 .98761 .92813 .96968 .93258 24
.96550 .92364 .96765 .92821 .96972 .93265 20
.96554 .92372
.92828
.96768
.96975 .93272 16
.93228 40
93236 36
.93243 82
52 58
.96112
.91436
50 59
.96115 .91444
60 60 9.96119 0.914529.96347 0.919349.96568 0.92402
.96340 .91918
.96344
.91926
48 579.96108 0.91427 9.96336 0.91910 9.96557 0.92379 9.96772 0.92836 9.96979 0.93279 12
.96775 .92843
.93287 8
.96982
.96779 .92851 .96985 .93294 4
9.96782 0.92858 9.96989 0.93301
.96561 .92387
.96565 .92394
14h 16m
14h Om
14h 12m
14h 4m
14h 8m

TABLE IV.
[Page 149
10h 0m
150°
Log. Hav. Nat. IIav.
09.96989 0.93301
.97195 .93745
.97198
$
0
4
1
.96992
.93309
10h 4m
151°
Log. Hav. Nat. IIav.
9.97188 0.93731
.97192 .93738
8
2
.96996 .93316
12
33
.96999 .93323
16
20
5
.97006 .93338
24
28
by
32
Haversines.
10h 12m 153°
10h 16m
154°
.97748 .94946 56
.97751 .94952 52
.97754 .94959 | 48
10h 8m 152°
Log. Hav. Nat. Hav. Log. Hav.| Nat. IIav. Log, Hav.| Nat. Hav._s
9.97381 0.94147 9.97566 0.94550 9.97745 0.94940 | 60
.97384 .94154 .97569 .95557
.97387 .94161 .97572 .94564
.93752 .97390 .94168 .97575 .94570
49.97002 0.93330 | 9.97201 0.93759 | 9.97393 0.941759.97578 0.94577 9.97756 | 0.94965 | 44
.97205 .93766 .97397 .94181 .97581 .94583 .97759 .94972 40
.97208 .93773 .97400 .94188 .97584 .94590 .97762 .94978 36
.93352 .97211 .93780 .97403 .94195 .97587 .94596 .97765 .94984 32
89.97016 0.93359 | 9.97214 0.937879.97406 0.94202 9.97591 0.94603 9.97768 0.94991
36 9 .97019 .93367
40 10 .97022 .93374
44 11 .97026 .93381
6 .97009 .93345
.97012
.93808
48 129.97029 0.93388 9.97227 0.93815
52 13 .97033 .93395 .97231 .93822
56 149.97036 0.93403 9.97234 0.93829
18h 59m
28
.97218 .93794 .97409
.97221
.97224
.93801
10h 1m 150°
•
4 16
.97043 .93417
8 17
12 18
.97046
.93424
.97049
16 19
20 20
24 21
.97059 .93453
28 22
.97063
32
36 24
40 25
44 26
.97069
.97073 .93482
.97076 .93489
13h 55m
10h 5m 151°
.97240 .93843
.93850
S
0 159.97039 | 0.934109.97237 | 0.938369.97428 | 0.942499.97612 | 0.94649
.94209 .97594 .94610
.97412 .94215 .97597
.97415 .94222 .97600
9.97418 0.94229 9.97603 0.94629 | 9.97780 | 0.95016
.97422 .94236 .97606 .94636 .97783 .95022
9.97425 0.942439.97609 | 0.94642 9.97785 0.95029
13h 51m
13h 47m
13h 43m
10h gm 152° 10h 13m
10h 17m 154°
.97771
.94616
.94623
.97774
.97777
.94997 24
.95003 20
.95010
16
12
8
4
153°
S
9.97788 | 0.95035 60
.97431
.97434
.94256 .97615 .94655
.94263 .97618 .94662 .97794
.97621 .94669 .97797
.97791
.95041 56
.95048 52
.95054 48
.97443
.94283
.97447
.94290
.94297
.97627
.97244
.93432 .97247 .93857 .97437 .94270
9.97052 0.934399.97250 0.93864 9.97440 0.94276 9.97624 0.946759.97800 0.95060 | 44
.97056 .93446 .97253 .93871
.93878
.97257
.93460 .97260 .93885 .97450
.95066 40
.95073 36
.94682 .97803
.97630 .94688 .97806
.97633 .94695 .97808 .95079 32
239.97066 0.93468 9.97263 0.93892 9.97453 0.94303 9.97636 0.94701 9.97811 0.95085 28
0.934689.97263 0.938929.97453 | 0.947019.97811 |
.93475 .97266 .93899 .97456
.97639 .94708 .97814 .95092 24
.94714 .97817 .9509820
.94721 .97820 .95104 16
48 27 9.97079 | 0.93496 | 9.97276 0.93920 9.97465 0.94330 9.97647 0.947279.97823 0.95111
| | ||
|
12
52 28
56
S
.97269
.97273
.93906
.93913
.97459
.97462
.94310
.94317
.94324
.97642
.97645
.97083 .93503 .97279 .93927 .97468 .94337 .97650 .94734 .97826 .95117 8
9.97471 0.943449.97653 0.94740 9.97829 0.95123
|
| | |
299.97086 0.935119.97282 0.93934
0 309.97089 | 0.935189.97285 | 0.93941
13h 46m
13h 42m
10h 14m 153° 10h 18m 154° S
4
9.97656 | 0.947479.97831 | 0.95129 | 60
.97834 .95136 56
.97837 .95142 52
.95148 48
.94753
.94760
13h 58m
10h 2m 150°
13h 54m
10h 6m
151°
4 31
.97093
.93525
.97289
.93948
8 32
.97096
.93532
.97292
.93955
13h 50m
10h 10m 152°
9.97474 | 0.94351
.97478 .94357
.97481 .94364

.97659
.97662
12 33
.97099
.93539 .97295
.93962
.97484 .94371
20 35
.97106 .93554
24 36 .97109
.93561
.97301 .93976 .97490 .94384
.97305 .93982 .97493 .94391
.97308 .93989 .97496 .94397
.97671 .94779
.97674 .94786 .97849
.97677 .94792 .97851
.97846
.95161 40
.95167 36
.97665
.94766 .97840
| |
16 349.97103 0.935469.97298 0.93969 9.97487 0.94377 9.97668 0.94773 9.97843 0.95154 44
| |
28 37 .97113 .93568
.97119
.95173 32
32 389.97116 0.93575 9.97311 0.93996 9.97499 0.94404 9.97680 0.947999.97854 0.95179 | 28
36 39
.93582 .97314 .94003 .97502 .94411 .97683 .94805 .97857 .95185 24
40 40 .97123 .93589 .97317 .94010 .97505 .94418 .97686 .94811 .97860 .95192 20
44 41 .97126 .93596 .97321 .94017 .97508 .94424 .97689 .94818 .97863 .95198 16
48 42 9.97129 0.93603 9.97324 0.94024 9.975110.944319.97692 0.94824 9.97866 0.95204 12
52 43 .97132 .93611 .97327 .94031 .97514 .94438 .97695 .94831 .97868 .95210
56 44 9.97136 0.93618 9.97330 0.940389.97518 0.94444 9.97698 0.948379.97871 0.95217
8
S
13h 57m
10h 3m 150°
13h 53m
10h 7m 151°
.97337
4 46
8 47
12 48
16 49
.97149 .93646
9.97152 0.93653 9.97346 0.940729.97533 0.94477
20 50
.97156 .93660
.97349 .94079 .97536
24 51
.97159
.97352 .94086
28 52
.97356 .94093
32
S
4
.95235 | 52
.95241 48
0.95248 44
13h 49m
19h 45m
13h 41m
10h 11m 152° 10h 15m 153° 10h 19m 154°
0 459.97139 | 0.936259.97333 | 0.94045 9.97521 | 0.944519.97701 | 0.94844 9.97874 | 0.95223 60
.97142 .93632
.94051 .97524 .94458 .97704 .94850 .97877 .95229 56
.97146 .93639 .97340 .94058 .97527 .94464 .97707 .94857 .97880
.97343 .94065 .97530 .94471 .97710 .94863 .97883
9.97713 0.94869. 9.97885
.94484 .97716 .94876 .97888
.9525440
.93667
.97539 .94491 .97718 .94882 .97891 .95260 36
.97162 .93674
.97542 .94497 .97721 .94889 .97894
53 9.97165 0.93682 9.97359 0.94099 9.97545 0.94504 9.97724 0.94895 9.97897 0.95272 28
.95266 32
|
| 0.945049.97724 0.948959.97897 |
36 54 .97169 .93689 .97362 .94106 .97548
40 55 .97172 .93696 .97365 .94113
44 56 .97175 .93703 .97368 .94120
48 57 9.97179 0.93710 9.97371 0.94127
52 58 .97182 .93717 .97575 .94134
56 59 .97185 .93724 .97378 .94141
60 60 9.97188 0.93731 9.97381 0.94147
.97551
.97902
.97905
9.97908 0.95297
.97911 .95303
.97563 .94544 .97742 .94933 .97914
9.97566 0.94550 9.97745 0.94940 9.97916 0.95315
.95309
.94511 .97727 .94901 .97899 .95278 24
.94517 .97730 .94908
.97554 .94524 .97733 .94914
9.97557 0.94531 9.97736 0.94921
.97560 .94537 .97739 .94927
.95285 20
.95291 16
12
8
40
13h 56m
13h 52m
18h 40m
13h 48m
18h 44m

Page 150]
TABLE IV.
Haversines.
13h 35m
10h 21m
155° 10h 25m 156°
0
15
159.97958 | 0.95-107 | 9.98121 0.95766
4
16
.97961
.95413
.98124
.95771
8
17
.97964
.95419
.98126
.95777
.98282
12 18
.97966
.95425
.98129
.95783
S
10h 20m
155°
Log. Hav. Nat. Hav.
.97919
10h 24m 156°
10h 28m 157°
10h 32m 158°
g
10h 36m 159°
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Iav. Nat. Hav.
09.97916 0.95315 9.98081 0.95677 9.98239 0.96025 9.98389 0.96359 9.98533 0.96679 60
.95322 .98084 .95683 .98241 .96031 .98392 .96365 .98536 .96684 56
.97922 .95328 .98086 .95689 .98244 .96037 .98394 .96370 .98538 .96689 52
3 .97925 .95334 .98089 .95695 .98246 .96042 .98397 .96376 .98540 .9669548
49.97927 0.95340 9.98092 0.95701 9.98249 0.960489.98399 0.96381 | 9.98543 | 0.96700 | 44
.98094 .95707 .98251 .96054 .98402 .96386 .98545 .96705 40
.98097 .95713 .98254 .96059 .98404 .96392
.98547
.98100 .95719 .98256 .96065 .98406 .96397 .98550
89.97939 0.95364 | 9.98102 0.957249.98259 0.960719.98409 0.964039.98552 0.96721 28
0
4
1
8
2
12
16
20
5
24
28
32
.97930 .95346
.97933
.97936
.95352
.95358
36 9 .97941
40 30.97944
.95371
.95377
.96710 36
.96715 32
.96726 | 24
.98557 .96731 20
.98559 .96736 16
9.98561 | 0.96741 12
.98564 .96746 8
9.98566 0.96752
.98105 .95730 .98262 .96076 .98411 .96408 .98554.
.98108 .95736 .98264 .96082 .98414 .96413
44 11 .97947 .95383 .98110 .95742 .98267 .96088 .98416 .96419
48 12 19.97950 0.953899.98113 0.957489.98269 0.96093 9.98419 0.96424
52 13 .97953 .95395 .98116 .95754 .98272 .96099 .98421 .96430
| | |
14 9.97955 0.95401 9.98118 0.957609.98274 0.961049.98424 0.96435
|
13h 39m
13h 31m
13h 27m
10h 29m 157° 10h 33m 158°
56
|
13h 23m
4
10h 37m 159°
S
60
.98570
.96762 56
.98573
.9676752
.98575 .96772 48
9.98277 | 0.961109.98-126 | 0.964409.98568 | 0.96757
.98279 .96116 .98428 .96446
.96121
.98431 .96451
16
19
9.97969 0.95431
9.98132
20 20
.97972
.95438
.98134
24 21
.97975
.95444
.98137
28 22
.97977
.95450 .98139
32 23
36 24
.97983
.95462
40 25
.97986
.95468
44 26
.97988
.95474
.98145 .95818 .98300
.98147 .95824 .98302
.98150 .95830 .98305
48 27
52 28
.95486.98155
9.97991 0.95480 9.98153 0.95836 9.98307 0.96177
.97994
.95841 .98310 .96183
13h 38m
13h 34m
S
0
155°
10h 22m
309.97999 | 0.95498
.98285 .96127 .98433 .96457
0.957899.98287 0.961339.98436 0.96462 9.98577 0.96777 44
.95795 .98290 .96138 .98438 .96467
.95801 .98292 .96144 .98140 .96473
.95806 .98295 .96149 .98443 .96478
9.97980 0.954569.98142 0.95812 9.98297 0.961559.98455 0.96483 9.98587 0.96798 28
.96161 .98448 .96489
.96166 .98450 .96494
.96172 .98453 .96500
9.98455 0.96505 9.98596 0.9681812
.98457 .96510 .98598 .96823 8
4
56 299.97997 0.95492 | 9.98158 0.958479.98312 0.961889.98460 | 0.96516 9.98600 0.96829
10h 26m 156° 10h 30m 157° 10h 34m 158°
9.98161 | 0.958539.98315 | 0.961949.98462 | 0.965219.98603 | 0.96834 60
.98580 .96782 40
.96788 36
.98582
.98584 .96793 32
.98589 .96803 24
.98591 .96808 20
.98593 .96813 16
13h 30m
13h 26m
13h 22m
10h 38m 159° S

4 31
.98002
.95504
.98163 .95859
8 32
.98005
.95510
.98166
.95865
12
33
.98008
.95516
.98168
.95870
.98317 .96200 .98465 .96526
.98320 .96205 .98467 .96532
.98322 .96211 .98469 .96537
.98605
.98607
9683956
.96844 | 52
.98609
.96849 48
16
.95528 .98174
.95534 .98176
.98179
.95540
32
20 35 .98013
.98016
24 36
28 37 .98019
389.98021 0.955469.98182 0.958999.983350.96238 9.98481 | 0.96563 9.98621
349.98010 0.955229.98171 0.958769.98325 0.962169.98472 0.965429.98612 0.96854 44
.95882 .98327 .96222
.96547
.98474
.98614 .96859 40
.95888 .98330 .96227 .98476 .96553 .98616 .96864 36
.95894 ,98332
.96558
.96223 .98479
.98619 .96869 $2
0.96874 28
36
40 40
39
.95552 .98184
.98024
.95558 .98187
.98027
.98189
.95564
.98030
.98628 .96889 16
44 41
48 42 9.98032 0.95570 9.98192 0.95922 9.98345 0.96260 9.98491 0.96585 9.98630 0.96894 12
.98195 .95928 .98347
52 43
.96266
56 449.98038 | 0.95582|9.98197 0.959349.98350 0.96272
.95905 .98337 .96244
.96569
.98484
.98623
.98340 .96249 .98486
.95911
.96574 .98625
.95917 .98342 .96255 .98488 .96579
.9687924
.96884 20
.98035
.95576
13h 37m
S
0
45
4 46
8 47
12 48
13h 33m
156°
10h 27m
10h 23m 155°
9.98040 | 0.95588 9.98200 | 0.95940
.95945
.98043
.98202
.95594
.95951
.98046 .95600
.98208 .95957 .98360
.98205
.96590
.98493
.98632 .96899
9.98496 0.965959.98634 | 0.96905
13h 29m
13h 25m
13h 21m
10h sim 157° 10h 35m 158°
159°
10h 39m
9.98352 | 0.962779.98498 | 0.96600 9.98637 | 0.96910 60
.98355 .96283 .98500
.98357 .96288 .98503
8
4
S
.96606
.98639
.96915 | 56
.96611
.98641
.96920 52
16 49
20 50
.98054 .95618
24 51
.98057
.95624
28 52
.98059
.95630
.98365
.98213 .95968
.95974 .98367
.98215
.98218 .95980 .98370
.98049 .95606
9.98051 0.95612 9.98210 0.959629.98362 0.96299 9.98507 0.96621
.96305 .98510 .96627
.96632
.96310 .98512
.96315
.96637
.98514
32 53 9.98062 0.95636|9.98221 0.95985 | 9.98372 0.96321 9.98517 0.96642 9.98655
.96294
.98505 .96616
.98643
.96925 48
9.98646
0.96930 44
.98648
.96935 40
.98650
.96940 36
.98652
.96945 32
0.96950 28
36 54
.98065
.95642
.95991
.98223
.98375
40 55
.98067
.95648
.98226 .95997
.98377
44 56
.98070
.95654
.98228 .96002
.98379
56 59
48 57 9.98073 | 0.95660
.98076
52 58
.95665
.95671
.98233
.98078
.98236
.96014
.96020
.98519
.98521
.96332
.98521
.96337
9.98231 0.960089.98382 | 0.96343 9.98526
.98384
.98529
.96348
.98387 .96354 .98531
.96326
.98657
.98659
.98661
.96648
.96653
.96658
0.966639.98664 0.96970
.96975
.96669 .98666
8
.98668
.96674
.96980 4
.96955 | 24
.96960 20
.96965
16
12
60
609.98081 0.95677 9.982390.96025|9.98389 | 0.963599.98533 0.96679 9.98670 0.96985
13h 38m
13h 20m
13h 32m
13h 24m
13h 28m

TABLE IV.
[Page 151
8
0
4
8
12
1
10h 40m 160° 10h 44m
161°
Haversines.
10h 48m 162°
10h 52m 163° 10h 56m 164°
S
60
.98067 56
.98071 52
Log. Hav. Nat. Iav. Log. Hav. Nat. IIav. Log. Ilav. Nat. Hav. Log. IIav. Nat. Hav. Log. Hav.] Nat. Hav.
| | |
9.98670 0.969859.98801 0.97276 9.98924 0.975539.99041 0.978159.99151 0.98063
|
.98673 .96990 .98803 .97281 .98926 .97557 .99043 .97819 .99152
.98675 .96995 .98805 .97285 .98928 .97562 .99044 .97824 .99154
.98677 .97000 .98807 .97290 .98930 .97566 .99046 .97828 .99156
49.98679 0.970059.98809 0.972959.98932 0.97571 9.99048 0.97832 9.99158 | 0.98079 44
* 62 63
16
20
.98681 .97009 .98811 .97300 .98934
.97575
24
6
.98684 .97014
28
my
.98686 .97019
.98813 .97334
.98815 .97309 .98938
.98936
.97580
.97584
32
36 9
40 10
.98690
.98692
44 11
.98695
.97029
.97034
.97039
.98819 .97318
.98942
.98822
.97323
.98944
.98824
.97328
.98946
.97593
.97598
.97602
.98075 48
|
.99050 .97836 .99159 .98083 40
.99052 .97841 .99161 .98087 36
.99054 .97845 .99163 .98091 32
89.98688 0.97024 | 9.93817 | 0.973149.98940 0.97589 | 9.99056 | 0.978499.99165 0.98095 28
.99058
.99059
.99061
.97853 .99166 .98099 24
.97858 .99168 .98103 20
.97862 .99170 .98107 16
0
15
4 16
.98706
.97064
.98834
.97351
.98956
8 17
.98708
.97069
.98836
.97356
.98958
12 18
.98710
.97074
.98838 .97361
.98960
16
199.98712 0.97078
20 20
.98714 .97083
24 21
.98717
.97088
9.98840 0.97365 9.98962
.98842 .97370
.98845 .97374
48 12 9.98697 | 0.97044 | 9.98826 | 0.97332 § 9.98948 | 0.97606 | 9.99063 | 0.978669.99172 | 0.98111 12
52 13 .98699 .97049 .98828 .97337 .98950 .97611 .99065 .97870 .99173 .98115 8
149.98701 | 0.97054 | 9.98830 | 0.97342 | 9.98952 0.97615 | 9.99067 | 0.978749.99175 0.98119
56
S
13h 19m
13h 15m
13h 11m
13h 7m
13h 3m
4
10h 41m 160° 10h 45m 161° 10h 49m 162° 10h 53m 163° 10h 57m 164° S
159.98703 | 0.97059 | 9.98832 | 0.97347 § 9.98954 | 0.97620 | 9.99069 | 0.97879 | 9.99177 | 0.98123 | 60
.97624
.97629
.97633
.99071
.99072
.99074
.97883
.99179
.98127 56
.97887 .99180 .98131 52
.97891 .99182 .98135 48
0.97637 9.99076 0.97895 9.99184 0.98139 44
.98964
.98966
.97642
.99078
.97646
.99080
28 22
.98719
.97093
32 23
| |
9.98721 0.97098 9.98849
36 24
.98723
.97103
.98851
.97388
40 25
.98725
.97108
44 26
.98728
.97113
.98853
.98855
.97393
.98973
.97398
.98847 .97379
0.97384 9.98970 0.976559.99084 0.97912 9.99191 0.98154 28
| | |
.99193
.99194 .98162 20
.97924 .99196 .98166 16
48 27 9.98730 0.97117 9.98857 0.97402 9.98977 0.976739.99091 0.979299.99198 0.98170 12
.98968 .97651
.99082
.97899
.99186 .98112 40
.97904
.99187
.98146 36
.97908
.99189
.9815032
.98971 .97660
.97664
.99085
.99087
.97916
.97920
.98158 24
.98975 .97668
.99089
52 28
56
.98732 .97122
299.98734 0.97127
18h 18m
S
10h 42m 160°
4 31
.98738
8 32
.98741
.97137
.97142
12 33
.98743
.97147
13h 6m
10h 54m 163°
0 309.98736 | 0.971329.98863 | 0.97416 9.98983 | 0.97686 9.99096 | 0.97941
.98865 .97421 .98985 .97690 .99098 .97945
.98867 .97425 .98987 .97695 .99100
.98869 .97430 .98989 .97699 .99102
.98859 .97407 .98979 .97677 .99093 .97933 .99200 .98174
9.98861 0.974129.98981 0.97681 9.99095 | 0.979379.99201 0.98178
13h 14m
13h 10m
13h 2m
10h 46m 161° 10h 50m 162°
10h 58m 164°
9.99203 | 0.98182 60
∞ *
8
4
S
.99205
.98185 | 56

.97949
.99206
.98189 52
.97953
.99208
.98193
48
36 39 .98756 .97176
.97467
52 43
56 44
.98764 .97195
9.98766 0.97200
13h 17m
13h 13m
S
10h 43m
160°
0 45
4 46
.98771
8 47
.98773
.97209
.97214
12 48
.98775 .97219
.98896
.98898
.98900
.97490
.97494
.97499
10h 47m 161° 10h 51m 162° 10h 55m 163°
.98216 24
.98220| 20
.99222 .982214 16
9.99223 | 0.98228 12
.99225 .98232 8
9.99227 0.98236
|
10h 59m 164° S
9.98769 | 0.972049.98894 | 0.97485 9.99012 | 0.97751 9.99124 | 0.980029.99229 | 0.98239
|
|
.99230 .98243| 56
.99127 .98011 .99232 .98247 52
.99129 .98015 .99234 .98251 48
16 | |
49 9.98777 0.97224 9.98902 | 0.97503 9.99020 | 0.977689.99131 0.980199.99235 | 0.98255 44
.99003
.99004
16 34 9.98745 0.97151 9.98871 0.97435 9.98991 0.97703 9.99104 0.97957 9.99210 0.98197 44
20 35 .98747 .97156 .98873 .97439 .98993 .97708 .99106 .97962 .99212 .98201 40
24 36 .98749 .97161 .98875 .97444 .98995 .97712 .99107 .97966 .99213 .982051 36
28 37 .98751 .97166 .98877 .97448 .98997 .97716 .99109 .97970 .99215 .9820932
32 38 9.98754 0.97171 9.98880 0.97453 9.98999 0.977219.99111 0.979749.99217 0.98212 28
.98882 .97458 .99001 .97725 .99113 .97978
40 40 .98758 .97180 .98884 .97462
.97729 .99115 .97982
44 41 .98760 .97185 .98886
.97734 .99116 .97986
48 42 9.98762 0.97190 9.98888 0.97471 9.99006 0.97738 9.99118 0.97990
.98890 .97476 .99008 .97742 .99120 .97994
9.98892 0.97480 | 9.99010 0.97747 9.99122 0.97998
13h 9m
13h 5m
.99218
.99220
4
13h 1m
60
.99014 .97755
.99126
.98007
.99016
.97760
.99018
.97764
|
20 50
24 51
28 52
98779
.98781
.98784
.97228
.97233
.97238
.98904 .97508
.98906
.98908 .97517
.99022 .97773 .99133
.98023 .99237 .98258 40
.97512
86 54
.98788
40 55
.98790
.97247
.97252
44 56
.97257
.97777
.97781
.98031
$2 539.98786 0.97243 9.98910 0.97521 9.99027 0.97785 9.99138 0.98035 9.99242
| | | |
| |
.98912 .97526 .99029 .97790
.98914 97530 .99031 .97794
.98916 .97535 .99033 .97798
.99024
.99026
.99135
.98027
.99239
.98262 86
.99136
.99240
.98266 82
0.98270 28
.99140 .98039
.99142
.99244
.98274 24
.98043
.99245
.98277 20
56 59
.98798 .97271
.98920
.98922
.97544
.97548
| |
.98792
48 57 9.98794 0.97262 9.98918 0.975399.99035 0.97802 9.99145 0.98051
|
| | |
52 58 .98796 .97266
.99037 .97807 .99147 .98055
.99039 .97811 .99149 .98059
60 609.98801 0.97276 9.98924 | 0.97553 | 9.99041 | 0.978159.99151 | 0.980639.99254 0.98296
.99143 .98047
.99247
.98281 16
9.99219 0.98285 12
.99250 .98289 S
.99252 .98293 4
|
13h 16m
13h Om
13h 12m
13h 4m
13h Sm

Page 152]
TABLE IV.
Haversines.
048
11h 0m
165°
11h 4m
166°
11h 8m 167°
11h 12m 168°
S
11h 16m 169°
Log. Hav. Nat. Hav. Log. IIav.| Nat. IIav. Log. Hav.| Nat. Hav. Log. Hav. Nat. Hav.
0.98515 9.99440 0.98719 9.99523 0.98907 9.99599 0.99081 60
.98518 .99441 .98722 .99524 .98910 .99600 .99084 56
.98522 .99443 .98725 .99526 .98913 .99602
.98525 .99444 .98728 .99527 .98916 .99603
S
1
Log. Hav. Nat. Hav.
09.99254 0.98296 9.99350
.99255 .98300 .99352
2
.99257 .98304
.99353
12
3
.99259 .98308
.99355
16
20
5
.99262 .98315
.99358
24 6 .99264 .98319
.99359
.98532
.98536
28 r
.99265 .98323
.99361 .98539
32
.9908752
.99090 48
49.99260 0.983119.99356 | 0.98529 9.99446 0.98732 9.99528 0.989199.99604 0.99092 | 44
.99095 40
.99098 36
.99608 .99101 $2
.99447
.98735 .99529 .98922 .99605
.99448 .98738 .99531 .98925
.99450 .98741 .99532 .98928
.99606
.98751
.99536 .98937
.98754
.99537 .98940
8 9.99267 0.983269.99362 0.985439:99451 0.987459.99533 0.989319.99609 | 0.99103 | 28
36 9 .99269 .98330 .99364 .98546 .99453 .98748 .99535 .98934
40 10 .99270 .98334 .99366 .98550 .99454
44 11 .99272 .98337 .99367 .98553 .99456
48 129.99274 0.98341 9.99369 0.985579.99457 0.98757
52 13 .99275 .98345 .99370 .98560 .99458 .98761
149.99277 0.983499.99372 0.985649.99460 | 0.98764
56
S
.99610 .99106 24
.99611 .99109 20
.99612 .99112 16
9.99539 0.989439.99614 | 0.99114| 12
.99540 .98946 .99615 .99117 8
9.99541 0.989499.99616 | 0.99120 4
12h 47m
12h 43m
168° 11h 17m 169°
12h 59m
12h 55m
0
11h 1m 165° 11h 5m 166°
159.99278 | 0.98352|| 9.99373 | 0.98567
12h 51m
11h gm 167° 11h 13m
S
4 16
.99280
.98356
.99375
8
17
.99282
.99376
12 18
.98360
.99283 .98363 .99378 .98577 .99465
.98571
.98574
9.99461 | 0.98767 | 9.99543 | 0.98952
.99463 .98770
9.99617 | 0.99123 | 60
.99544
.98955
.99618
.99125 56
.99464
.98774
.98777
.99545
.98958
.99620
.99128 52
.99546
.98961
.99621 .99131 48
16
.99384 .98591
.99468
.99470
.99471
.99387 .98598
.99388 .98601
.99390 .98605 .99477
12h 58m
S
11 h 2m 165°
12h 54m
11h 6m 166°
.99393 .98611 .99479 .98809
9.99394 0.98615 9.99481 0.98812
12h 50m
11h 10m 167°
199.99285 0.983679.99379 0.98581 9.99467 0.98780 9.99548 0.98964 9.99622 0.99133 | 44
| | | |
.98783
.98786
.99549
.99550
.98967
.99623
.98970
.99624
.98789
.99552 .98973
.99136 40
.99139 | 36
.99626 .99141 | 32
20 20 .99287 .98371 .99381 .98584
24 21 .99288 .98374 .99382 .98588
.99290 .98378
9.99291 0.98382 9.99385 0.985959.99472 0.98793 9.99553 0.98976 9.99627 0.99144 28
| | | | ||
28 22
23
32
36 24 .99293 .98385
40 25 .99295 .98389
44 26 .99296 .98393
.99557
48 279.99298 0.98396 9.99391 0.986089.99478 0.98805 9.99558
52 28 .99300 .98400
56 299.99301 0.98404
0.98987
.99559 .98990
9.99561 0.98993
.99630 .99152 16
9.99631 0.99155 12
.99633 .99157 8
9.99634 0.99160
.99474 .98796
.99554 .98979
.99628 .99147 24
.99475 .98799
.99555
.98982
.99629 .99149 20
.98802
.98985
4
12h 46m
12h 42m
11h 14m 168°
11h 18m 169° S
0
30
30
9.99303 | 0.984079.99396 | 0.98619
9.99482 | 0.98815
9.99562 | 0.989969.99635 | 0.99163 60
4 31
.99304 .98411
.99397 .98622
.99484
.98818
.99563 .98999
.99636 .99165 56

8 32
.99306
.98415 .99399 .98625
.99485
.98821
.99564
.99002
.99637
12 33
.99308 .98418 .99400 .98629
.99486
.98824
.99566 .99005 .99638
16 34
20 35
.99311
24 36
28 37
32 38
36 39
.99317 98440 .99409
40 40
44 41
9.99316 0.98436 9.99408 0.986469.99493 0.98840 9.99572 0.990199.99644 0.99184 28
.99573 .99022 .99645 .9918624
.99575 .99025 .99646 .99189 20
.99576 .99028 .99648 .99192 16
48
.99168 52
.99171 48
9.99309 0.98422 9.99402 0.98632 9.99488 0.98827 9.99567 0.99008 9.99639 0.99173 44
.98426 .99403 .98635 .99489 .98830 .99568 .99011 .99641 .99176 40
.99312 .98429 .99405 .98639 .99490 .98834 .99569 .99014 .99642 .99179 36
.99314 .98433 .99406 .98642 .99492 .98837 .99571 .99016 .99643 .99181 32
.98649 .99495 .98843
.99319 .98444 .99411 .98652 .99496 .98846
.99320 .98447 .99412 .98656 .99497 .98849
42 9.99322 0.98451 9.99414 0.986599.99499 0.98852 9.99577 0.99031 9.99649 0.99194 12
.99324 .98454 .99415 .98662 .99500
52 43
.98855 .99578 .99034 .99650 .99197 8
56 449.99325 0.98458 9.994170.98666 9.99501 0.98858 9.99580 0.99036 9.99651 0.99199
| | |
| |
4
12h 57m
12h 49m
12h 45m
12h 41m
11h 3m 165° 11h 7m 166° 11h 11m 167°
11h 15m 168° 11h 19m 169° S
S
12h 53m
19.99327 | 0.984629.99418 | 0.986699.99503 | 0.988629.99581 | 0.990399.99652 | 0.99202 60
.99420
.99421
.98672
.98676
.99422 .98679
.99504 .98865
.99505 .98868
.99507 .98871
.98483 .99427
.98487 .99429
.99510 .98877
.98689 .99511 .98880
.98692 .99512 .98883
.99653 .99205 56
.99654 .99207 52
.99582 .99042
.99045
.99583
.99584 .99048 .99655 .99210 48
9.99333 0.984769.99424 0.986829.99508 0.98874 9.99586 0.99051 9.99657 0.99212 44
.99335 .98479 .99425 .98686
.99587 .99053 99658
.99588 .99056 .99659
.99589 .99059 .99660
45
4 46
.99328
.8 47
.99330
.98465
.98469
12 48
.99331
.98472
16 49
20 50
24 51
.99336
28 52
.99338
32 53
36 54
.99341
40 55
.99342
44 56
48 57
52 58
56 59
.98511
.98494
.99433 .98702
.98497
.98501 .99434
.99344
.98705
9.99345 0.98504 9.99436 0.98709
.99437 .98712
.99347 .98508
.99438 .98715
.99349
.99431
.98699
|
.99215 40
.99217 36
.99220 32
9.99339 | 0.98490 9.99430 0.98696 9.99514 0.98886 9.99591 0.99062 9.99661 0.99223 28
.99515
.98889
.99065
.99592
.98892
.99067
.99593
.98895 .99594 .99070
.99662
.99225 24
.99663
.99228 20
.99664
.99230 16
.99516
.99518
9.99519 0.98898 9.99596 0.99073 9.99666 0.99233 12
.99235 8
.99238 4
.99520
.99522
.98901 .99597 .99076 .99667
.98904 .99598
.99668
.99079
| | |
60 60 9.99350 0.98515 9.99440 0.98719 9.99523 | 0.98907 9.99599 0.99081 9.99669 0.99240
12h 56m
12h 48m
12h 52m
12h 44m
12h 40m

TABLE IV.
[Page 153
11h 20m
170°
11h 24m 171°
S
0
4
8
1
2
12
3.99672 .99248 .99735
Log. Hav. Nat. Hav. Log. Hav.| Nat. Hav.
09.99669 0.99240 9.99732 0.99384
.99670 .99243 .99733 .99387
.99671 .99245 .99734 .99389
.99391
16
20
5
.99674 .99253
24
6
.99675 .99255
28
ry
32
36
9 .99679 .99263 .99741 .99405
40 10 .99680 .99265
44 11
Пaversines.
173° 11h 36m
174°
.99884
.99734 40
.99735 36
.99737 32
11h 28m 172° 11h 32m
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav.s
9.99788 0.99513 9.99838 0.996279.99881 0.99726 60
| |
.99789 .99515 .99839 .99629 .99882 .9972856
.99790 .99517 .99839 .99631 .99882 .99729 52
.99791 .99519 .99840 .99633 .99883 .99731 48
49.99673 0.99250 9.99736 0.99393 9.99792 0.995219.99841 0.99634 9.99884 0.99732 44
.99737 .99396 .99793 .99523 .99842 .99636
.99738 .99398 .99793 .99525 .99842 .99638 .99885
.99677 .99258 .99739 .99400 .99794 .99527 .99843 .99640 .99885
89.99678 0.99260 | 9.99740 0.99402 9.99795 0.995299.99844 0.996419.99886 0.99738 | 28
.99796 .99531 .99845 .99643 .99887 .99740 24
.99742 .99407 .99797 .99533 .99845 .99645 .99887 .99741 | 20
.99681 .99268 .99743 .99409 .99798 .99535 .99846 .99647 .99888 .99743 16
48 12 9.99682 0.99270 9.99744 0.99411 9.99799 0.995379.99847 0.99648 9.99889 0.99744 | 12
52 13 .99683 .99273 .99745 .99414 .99800 .99539 .99848 .99650 .99889 .99746
56 149.99684 | 0.99275 9.99746 0.99416 9.99800 | 0.99541 | 9.99848 | 0.996529.99890 | 0.99747 4
12h 35m
12h 31m
12h 27m
11h 25m 171° 11h 29m 172° 11h 33m 173°
9.99685 | 0.992789.99747 | 0.99418 | 9.99801 | 0.995439.99849 | 0.99653
の
​8∞
12h 23m
11h 37m 174°
S
9.99891 | 0.99748
60
.99655
.99891
.99750 56
.99657
.99892
.99751 | 52
.99659 .99893 .99753 48
.99662 .99894 .99756 40
12h 39m
11h 21m 170°
0 15
4 16
.99686
.99280
.99748
.99420
.99802 .99545 .99850
8
17
.99687
.99283
.99748
.99422
.99803 .99547 .99851
12 18
.99688 .99285
.99749
.99425
.99804 .99549 .99851
16
199.99690 | 0.992889.99750 0.99427
9.99805 0.995519.998520.996609.99893 0.99754 44
20 20
.99691 .99290 .99751
.99429
.99805 .99553 .99853
24 21
.99692
.99293
28 22
.99693
.99295
.99752
.99753
.99431
.99433
32 23
36 24
40 25
.99695
.99696
.99300
.99302
.99755 .99438
.99756
44 26
.99809
.99440 .99810
.99442 .99811
.99854
.99807 .9955% .99854
.99664 .99894 .99757 36
.99665 .99895 .99759 32
9.99694 | 0.99297 9.99754 0.994369.99808 0.995599.99855 | 0.99667 | 9.99896 0.99760 | 28
| | |
.99697 .99305.99757
48 279.99698 | 0.993079.99758 0.994449.99811 0.995679.99858 0.99674 9.99898 0.99766 12
52 28 .99699 .99309 .99759 .99446 .99812 .99568 .99859 .99675.99899 .99767 8
56 299.99700 | 0.993129.99760 0.994499.99813 0.995709.99859 0.99677 9.99899 0.99768
.99806 .99555
.99561 .99856
.99563 .99857 .99670
.99565 .99857 .99672
.99669
|
.99896 .99761 24
.99897
.99897
.99763 20
.99674 16
4
12h 38m
12h 34m
12h 30m
S
12 33
11h 22m 170° 11h 26m 171° 11h 30m 172°
0 309.99701 | 0.993149.99761 | 0.994519.99814 | 0.99572
4 31 .99702 .99317 .99762 .99453 .99815 .99574
8 32 .99703 .99319 .99763 .99455
.99576
.99704 .99321 .99764 .99457
12h 26m
12h 22m
11h 34m 173° 11h 38m 174° S
9.99860 | 0.996799.99900 | 0.99770 60
.99861
.99680
.99901
.99771 56
.99815
.99862
.99682
.99901
.99773 52
.99816 .99578
.99862
.99684
.99902
.9977448
20 35
24 36
16 34 9.99705 0.993249.99765 0.99459
.99706 .99326 .99766
.99707 .99329
9.99817 0.995809.99863 0.99685
9.99902
0.99775 | 44
.99461
.99818 .99582 .99864
.99687
.99903
.99777 40
.99766
.99464
.99767
.99466
28 37 .99708 .99331
.99904 .99778! 36
.99904 .9978032
9.99710 | 0.993339.99768 | 0.99468 9.99820 0.995879.99866 0.99692 | 9.99905 | 0.99781
.99819 .99584
.99820
.99864
.99688
.99585 .99865
.99690
.99769
.99770
.99771
.99470
.99472
.99474
.99821 .99589
.99867
.99693
.99822
.99591
.99867
.99695
.99823
.99593
.99868
.99696
Table V
1
28
Finding
.99905 .99782 24
.99906
.99906
.99784 | 20
Azimuth.
.99785 16
32 38

36 39
.99711 .99336
40 40
.99712
.99338
44 41
.99713 .99340
.99715 .99345
| | | 12
48 429.99714 0.993439.99772 0.99476 9.99824 0.995959.99869 | 0.99698 9.99907 0.99786
| | |
52 43
.99773 .99478 .99824 .99597 .99869 .99700 .99908 .99788 8
56 449.99716 | 0.99347 9.99774 0.99480 9.99825 0.99598 | 9.99870 | 0.99701 9.99908 | 0.99789
12h 37m
12h 33m
גז
S
11h 23m
4 46
170°
0 459.99717 | 0.99350
.99718 .99352
11h 27m 171°
9.99774 | 0.99483
.99775 .99485
8 479
.99719
.99354
.99776
.99487
.99872
12 48
.99720
.99357
.99777
.99489
.99873
12h 29m
12h 25m
11h 31m 172° 11h 35m 173° 11h 39m 174° S
9.99826 | 0.99600 | 9.99871 | 0.99703|| 9.99909 | 0.99790 60
.99827 .99602 .99871
.99909 .99792 56
.99828 .99604
.99828 .99606
12h 21m
.99704
.99706
.99910 .99793 52
.99708
.99911 .99794 48
20 50
.99722 .99361
24 51 .99723 .99364
28 52 .99724
.99779
.99780
.99493
.99495
16 499.99721 0.993599.99778 0.99491 9.99829 0.99608 9.99874 0.997099.99911 0.99796 44
| | | | |
.99830
|
.99831
.99366
.99781 .99497
.99832
.99609 .99874 .99711 .99912 .99797 40
.99611 .99875 .99712 .99912
.99613 .99876 .99714 .99913
.99798 36
.99799 32
9.99782 0.994999.99832 0.996159.99876 0.99715 9.99913 0.99801 28
.99783 .99501 .99833 .99617 .99877 .99717 .99914
.99802 24
.99803 20
.99805 16
32 539.99725 0.99368
36 54 .99726 .99371
40 55 .99727 .99373 .99784 .99503 .99834 .99618 .99878 .99719 .99915
44 56 .99728 .99375 .99785 .99505 .99835 .99620 .99878 .99720 .99915
48 579.99729 0.99378 9.99786 0.995079.99836 0.99622 9.99879 0.997229.99916 0.99806 | 12
52 58 .99730 .99380 .99786 .99509 .99836 .99624 .99880 .99723 .99916 .99807
56 59 .99731 .99382 .99787 .99511 .99837 .99626 .99880 .99725 .99917 .99808
9.99732 0.99384 9.99788 0.995139.99838 0.996279.99881 0.99726 9.99917 0.99810
60 60
8
40
12h 36m
12h 24m
12h 32m
12h 28m
12h 20m
Page 154]
TABLE IV.
>

12
11h 40m
175°
Log. Hav. Nat. Hav.
11h 44m
176°
.99918 .99811 .99948 .99879
Haversines.
11h 48m 1770 11h 52m 178° 11h 56m
179°
Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. Log. Hav. Nat. Hav. S
09.99917 0.99810 9.99947 0.998789.99970 | 0.999319.99987 0.99970 9.99997 0.99992 60
.99971 .99932 .99987 .99971 .99997
.99971 .99933 .99987 .99971 .99997
.99971 .99934 .99987 .99971 .99997
ន
0
b
8
2
.99918 .99812 .99948 .99880
12
.99919 .99814 .99948 .99881
16
20
5
La
.99993 | 56
99993 | 52
.99993 48
49.99919 0.99815 9.99949 0.99882 9.99972 0.99934 9.99988 0.99972 9.99997 0.99994 44
.99920 .99816 .99949
24 6 .99921 .99817
28
32
36
40 10
44 11
.99883
.99950
.99884
.99950
.99972
.99972
.99935
.99936
.99988 .99972 .99997 .99994 40
.99988 .99973 .99997 .99994 36
.99921 .99819
.99885 .99973 .99937 .99988 .99973 .99997 ..9999432
89.99922 0.99820 9.99951 0.99886 9.99973 0.99937 9.99988 0.99973 9.99998 0.99994 28
| |
| | | | |
.99922 .99821 .99951 .99887 .99973 .99938 .99989 .99974 .99998 .99995 24
.99923
.99888 .99973
.99889 .99974
48 129.99924 | 0.998259.99952 | 0.99890 | 9.99974
52 13
.99822
.99923 .99823
.99951
.99952
.99995 20
.99939 .99989 .99974 .99998
.99940 .99989 .99975 .99998 .99995 16
0.99940 | 9.99989 | 0.999759.99998 0.99995 | 12
.99924 .99826 .99953 .99891 .99974 .99941 .99989 .99976 .99998 .99995
56 149.99925 0.998279.99953 0.998929.99975 0.99942 9.99990 0.99976 9.99998 0.99996
| | | | |
12h 19m
S
11h 41m 175°
12h 15m
11h 45m 176° 11h 49m
12h 11m
0 15
4. 16
9.99925 | 0.99828
.99926 .99829
8 17
.99926
.99831
12 18
.99927
16 19 9.99927 0.99833
20 20 .99928
.99832
-∞
8
4
12h 7m
12h 3m
11h 53m 178°
9.99990 | 0.99977
.99990 .99977
.99990 .99978
11h 57m 179° S
9.99998 | 0.99996
.99998
60
.99996 | 56
.99998
.99996 | 52
.99996 48
.99990 .99978 .99998
.99999
.99997 36
.99999
.9999732
0.99997 | 28
.99997 24
.99997 20
16
199
9.99953 | 0.99893 | 9.99975 | 0.99942
.99954 .99894 .99975 .99943
.99954 .99895 .99976 .99944
.99954 .99896 .99976 .99944
9.99955 0.99897 9.99976 0.99945 9.99991 0.99978 9.99998 0.99996 44
.99834 .99955 .99898 .99976 .99946 .99991 .99979 .99999 .99997 | 40
24 21 .99928 .99835 .99956 .99899 .99977 .99947 .99991 .99979
28 22 .99929 .99837 .99956 .99900 .99977 .99947 .99991 .99980
32 239.99929 0.998389.99957 0.99900 9.99977 0.999489.99991 0.99980 9.99999
36 24 .99930 .99839 .99957 .99901 .99978
.99949 .99992 .99981 .99999
.99931 .99840 .99958 .99902 .99978 .99949 .99992 .99981 .99999
44 26 .99931 .99841
.99978 .99950 .99992 .99981 .99999 .99998
48 27 9.99932 | 0.99842
9.99978 0.999509.99992 | 0.999829.99999 | 0.99998 12
52 28 .99932 .99844
.99979 .99951 .99992 .99982 .99999 .99998 8
56 299.99933 0.99845
9.99979 0.99952 9.99992 0.99982 9.99999 | 0.99998
12h 2m
11h 58m 179°
9.99999 | 0.99998 60
|
.99999 .99998 56
40 25
.99958 .99903
9.99958 0.99904
.99959 .99905
9.99959 | 0.99906
12h 14m
11h 46m 176°
.99960 .99908
.99960
.99909
.99961 .99909
11h 50m
12h 10m
1770
12h 6m
11h 54m
178°
9.99933 | 0.998469.99959 0.99907 9.99979 | 0.99952 9.99993 | 0.99983
| | |
12h 18m
S
11h 42m 175°
0 30
4 31
8 32
.99934
.99847
.99934
.99848
12 33
.99935 .99849
.99980
.99980
.99953
.99954
.99980
.99993 .99983
.99993 .99984
.99954 .99993 .99984
の
​4

.99999
.99999
.99998 | 52
.99998 48
0.99999
44
.99999
40
16 34 9.99935 0.99850 9.99961 0.99910 | 9.99980 0.99955 9.99993 0.99984 9.99999
20 35
.99935 .99851 .99961
.99911
.99981 .99956
24 36 .99936 .99853 .99962
28 37 .99936 .99854
.99912
.99981 .99956
.99962
.99913 .99981 .99957
32 38
36 39
40 40
.99937
.99938
.99856
.99963 .99915 .99982 .99958
.99857 .99963 .99915 .99982 .99959
.99993
.99994
.99985 .99999
.99985 9.99999
.99994 .999851 0.00000
| | |
.99999 | 36
.99999 | 32
9.99937 0.99855 9.99963 0.99914 9.99981 0.999579.99994 0.99986 0.00000 0.99999 28
| 0.999149.99981
44 41 .99938 .99858 .99964 .99916 .99982 .99959
.99994
.99994
.99986 .00000 .99999 24
.00000 .99999 20
.99986
.99994 .99987 .00000 .99999 16
48 42 9.99939 0.998599.99964 0.999179.99983 0.99960 9.99994 0.99987 0.00000 0.99999 12
52 43 .99939 .99860 .99964 .99918 .99983 .99960 .99995 .99987
56 449.99940 0.99861 9.99965 0.99919 9.99983 0.99961 9.99995 0.99988
| |
0.999619.99995
12h gm
12h 5m
12h 13m
11h 43m 175° 11h 47m 176°
.00000 .99999 8
0.00000 0.99999
|
4
12h 1m
178° 11h 59m 179° S
9.99940 0.998639.99965 | 0.999209.99983 | 0.999619.99995 | 0.99988 0.00000 1.00000 60
| | |
12h 17m
S
11h 51m
1770
11h 55m
0 45
|
4 46
8 47
.99941
.99941
.99864
.99965
.99920
.99983
.99962
.99995
.99988
.00000
.00000 56
.99865
.99966
.99921
.99984
.99963
.99995
.99989
.00000
.00000 52
12 48
.99942
.99866
.99966
.99922
.99984
.99963
.99995
.99989
.00000
.00000 48
16 49
9.99942 0.998679.99966 0.99923 9.99984 0.99964 9.99995
| | |
20 50
.99943
.99868
.99967
.99924
.99984
24 51
.99943
.99869
.99967
.99924
.99985
.99964 .99996
.99965 .99996
28 52
.99943
.99870
.99968
.99925
.99985
.99965.99996
32 53
9.99985
36 54
.99944
.99968 .99927
.99985
40 55
44 56
.99945
.99873
.99874
.99969 .99928
.99969
.99928
9.99944 0.99871 9.99968 0.99926
1.0000028
| | |
.99872
.99996 .99991
12
8
.99966
.00000
.00000 24
.99986 .99967
.00000 .00000 20
.99945
.99986 .99967
.00000 .00000 | 16
48 57 9.99946 0.99875 9.99969 0.999299.99986 0.99968 9.99996 0.99992 0.00000 1.00000
|
| | | | |
.99946 .99876 .99970 .99930 .99986 .99969 .99996 .99992 .00000 .00000
56 59 .99947 .99877
.99987 .99969 .99997 .99992 .00000 .00000
60 |
609.99947 0.998789.99970 0.99931 9.99987 0.99970 9.99997 0.99992 0.00000 1.00000
| | |
52 58
.99970 .99931
∞40
0.99989 0.00000
|
.99990 .00000
.99990
.99990 .00000
0.999669.99996 0.99991 0.00000
1.00000 44
.00000 | 40
.00000
.00000 36
.00000 32
| |
.99996 .99991
.99996
.99991
12h 16m
12h 12m
12h 8m
12h 4m
12h Om

Table V
Finding
Azimuth.

5
10
TO FIND THE HOUR ANGLE
OF
CROSSING THE PRIME VERTICAL
15
20
25
30
Latitudes
35
b
40
45
50
55
55
60
65
70
75
80
85
20-
to
65
Hour Angles
3.
85
Mark the latitude on the latitude
scale at the left-hand boundary and,
with a pair of compasses, take out the
horizontal distance from that point to
the curve whose number represents
the declination. Apply this distance to
the scale of hour angles, and the re-
sulting reading, taken in the same
manner as the divisions and propor-
tional parts are read from the ordinary
diagonal scale of equal parts, will be
the hour angle of crossing the prime
vertical.
ILLUSTRATION
From the second example at the be
ginning of this book-
L, the latitude=S. 34° 10'
d, the declination S. 16° 36
The line of dashes (a b) indicates the
horizontal distance from (a), the point
on the latitude scale marking the lati-
tude 34° 10' to (b), the point between
the declination curve 16° and the dec-
lination curve 17° marking the declina-
tion 16° 36'. The distance (a b), being
applied to the scale of hour angles,
gives the reading 4h 16m as the value
of the hour angle of crossing the prime

vertical.
63355°-17. (To face page 155.)
TABLE V
FOR FINDING THE AZIMUTH
RULE.
Take out the tabulated number corresponding to the given declination and hour-angle, then find
this number again in that declination column which has at its head a value equal to the altitude, and,
in the hour-angle column, opposite to the number thus found again in the declination column, will be
the required azimuth.
MARKING THE AZIMUTH.
The azimuth found from the table is always marked east (E.) or west (W.) according as the observed
body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of opposite
name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declination
are of the same name and the latitude is greater than the declination, the azimuth is marked from the
pole of the same name as the latitude when the hour-angle is greater than the hour-angle of crossing the
prime vertical, and from the pole of opposite name when the hour-angle is less than the hour-angle of
crossing the prime vertical. The hour-angle of crossing the prime vertical may be found from the
diagram facing this page.

ILLUSTRATION.
From the first example worked at the beginning of this book-
d, the declination S. 21° 19′.
t, the hour-angle=3h 30m 11s.
h, the calculated altitude=17° 53′.
Take out the tabulated number corresponding to the declination 21° 19′ and the hour-angle 3h 30m,
which is 9.86885. Then in that declination column which has at its head a value equal to the altitude,
17° 53′ or, to the nearest degree, 18°, find the number 9.86885 again, and opposite to it in the hour-angle
column will be 51°, which is the azimuth reckoned from the south pole toward the eastward, S. 51° E.
155
Table V
Finding
Azimuth.

RULE. Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 3 00
45
Hour
Declination.
9.84669
Angle.
Hour
9.84710
2 56
30'
Angle.
44
66° 009.83897
'
0° 00'
9.83938
0° 3052
5'
2 43
° 30'
9.83098
5° 00'
9.83139
19.83212 9.83178
9.84011 9.83977
9.84783 9.84749
° 00'
]
4° 30'
2 48
2° 00'
1° 30'
42
9.82271
'
3° 30'
29.82312
° 30'
9.82351
'
2 44
9.81414
9.81455
9.81494
2.40
40
9.80527
。 h9.80568
2 36
.
。 38 O1234
0 00
h.m.
0
2 32
28
04
2 35 2 20
8. 0 0 00
8.24020
24179
2 16
S. 2 12
8. 23906
2 08
2 00
8.23986
8.24052
2 04
29❘ 1 56
24171
1 52
24080
OS
S. 48
8. 24145
S. 23947
8.54282
8. 24160
8. 8.54280
8. 8. 8. 24126
1 24105
0-1
1 40
24 12
54275
36
S. 1 32
1 28
8.54267
1 24
1 20
1 16
8. 5-1222
8. 54256
8.54043
8. 51211
12
1 1 8.54116
8.54148
16
08
8.51176
1 8. 8. 54201
01
00
08
1 S. 71880
56
52
13
8.71878
48
12
8. 71873
44
40
71865
5-1002
8.71600
8.71746
8. HERRE BOERA 22222 22222 2700≈ 10000
8. 71680
71854
8. 71714
8.71820
8.71839
39
8. 8. 71641
8.71799
9.79607
9.78654
8.71774
9. 79648
79781
12
9. 9.78695
9.78828
9.77707 9.77666
24
9.76642 9.76683
9.75579
8. $1358
9.75620
8.84078
9.75659
S. S-1356
9.84815
8.84119
S4343
9.80781 8.84192
8. 8. S4351
9.84923 9.84908
9.84942
9.84947
9.84949
8. 84158
8.84317
O123+
8. 9.84170
8.84252
9.84175
8. 81332
8. 84298
84277
8.84224
9.84177
9.83371
9.83376
9.83378
9.82536
9.82544
9.82549
16
4
9.82551
9.81679
9.81687
9.81692
9.81694
9.80792
9.80800
9.80805
9.80807
1678 9.79806
20
8.94030
9.79872
5
9.79880
9.79885
567∞∞
8.93750
94023
9.79887
8. 94028
8.93830
9.78853
9.78919
S. 8.93791
94015
9.78927
8. 9.78932
9.78934
24
8.93896
8.93970
9.77931
9.77939
8.93949
8.93989
S. 91001
8.93864
8.93924
20
9. 77944
9.77946
9.76907
9.76915
9.76920
9.76922
9.75833
9. 01923
28
9.75844
9.75852
9.01921
9.75857
9.75859
9. 01643
9.01684
The 01916
9. 01723
9.01767
9.01908
9. 24
74476
32
9.74517
9.01863
9. 9.01842
9.01882
9.01897
9.74556
9.01789
9.74590
9.73331
9. 01817
9. 73372
9.73411
9.73445
32
9. 72141
9.72182
9.08599
30
9.70904
9.69617
9.08587
os
36
9.70945
9
9.08389
9.69658
9.08350
9.08582
28
9.08563
9.08309
9.08423
9.08529
TABLE 9.08571
9.69697
9.08455
9. 14356
9.08548
9.74622
9.69837 9.69816 9.08508
9. 9.08483
74715
9. 14349
9.74730
9. 14354
9. 74741
9.74749
9.74754
9.74756
9.73570
14076
9.73585
14117
9.73596
14341
9. 9.73604
9.73609
9. 9. 9. 14156
9.73611
14222
32
9. 14296
9. 14190
9. 14315
14330
14250
9.69882 9.69871 9.69856
9.71169 9.71158 9.71143
9.72395 9.72380
9. 9.72406
9.72414
9. 9. 14275
9. 9.72419
9.72421
9.71177
9.71182
9.71184
9.69890
9.69895
9.69897
27
26
9. 19433
25
9.62315
9.63945 9.63904
9.65466 9.65425
9.66922 9.66881
9.68318 9.68277
9.68357
19431
V.
9.68391
9.19426
9.66961
9. 9.19153
9.65505
63984
9. 9.19299
9
19418
19267
9.19392
9.62395. 9. 9.62356
9.58908
19352
9. 9.60651
19373
9. 36
9. 19407
9.57078
9. 9. 9.55153
9.53125
9.53205 9. 19327
9. 19194
19233
9.53166
9.55233 9.55191
9.57158 9.57119
9.58988 9.58949
9.60731 9.60692
9.53390 9.62580 9.62569
9.64169 9.64158
9.65690 9.65679
9.67146 9.67135
9.68542 9.68531
9.68550
9.68555
9.68557
9.67154
9.67159
9.67161
9.65698
9.65703
Finding of the Azimuth.
9.65705
40❘ 9.64177
CERRE 10
9.64182
9.23967
9.64184
9.62588
9.23965
9.62593
9.23687 9.23960
9.62595
9.60924
9.60929
9.60931
9.23728
9.23952
.10
9.23801
9.23886
9.23941
9.59181
44
9.59186
9.23861
9.23926
9.59188
9.28060
9.23833
9.23907
9.57351
9.28058
9.57356
9.57358
9.23767
9.55426
48
9. 28045
9. 9.28053
55431
9.55433
9.28034
9.53398
9.53403
9.53405
52 13
9.27780
9.31788
9.28000
M
9.31781
9.31786
9.34929
9.27894
9.31773
9.38088
9.41100 9.41061 9.41020
9.43834 9.43795 9.43754
9.46391 9.46355 9.46314
9.48798 9.48759 9.48718
9.51064 9.51025 9.50984
9.27821
9.51098
9.27860
9.51130
56 14
9.31762
9.31747
9.48832
9.48864
9.46428
9.41134
9.43868
9.35209
9.31508
9.35207
9.31622 9.31588 9.31549
9.35043 9.35009 9.34970
9.38202 9.38168 9.38129
1 00
9.35202
9.38262
9.35103
9.35194
9.51223
9.51238
9.51249
9.51257
9.35168
9.35183
9.51262
9.48957
01
9.27979
9.31728 9.31707
9.35149 9.35128
1 9.48972
9.48983
9.38366
9.38368
9. 18991
9.18996
9.51264
9.38361
9.48998
9.46534
1 08
9.38342
9.38353
9. 46553
9.46568
9.46579
9.38308 9.38327
9.46587
9.16592
9.38287
9.46594
1 12
9.43974
9.41298
9.43993
9.41300
9.44008
9. 44019
9.41027
9.41285
9.41293
9.44032
9.41034
16
9.41240
1 9.41259
9.41274
FO700 222** *27*2 07237 28 33
3 00❘ 45
2 56 44
43
2 52
42
2 48
2 44 41
2.40 40
1 20
39
36
2 2 32 38
37
28
2 2 24 36
2 20❘ 35
34
1 24
2 16
2 12❘ 33
2 08
2 04
2.00
1 56
28
1 52
1 48
1 26
1 44
1 40
1 36
23
1 ° 1563° 004° 00. m24186
24184
8.54082
32❘ 9. 28019
9.27954 9.27926
9.31682 9.31654
9.35075
9.38234
9.41219 9.41194 9.41166
9.43953 9.43928 9.43900
9.46513 9.46488 9.46460
9.48938 9.48917 9.48892
9.51204 9.51183 9.51158
9.53379 9.53364 9.53345 9.53324 9.53299 9.53271 9.53239
9.55418 9.55407 9.55392 9.55373 9.55352 9.55327 9.55299 9.55267
9.57343 9.57332 9.57317 9.57298 9.57277 9.57252 9.57224 9.57192
9.59173 9.59162 9.59147 9.59128 9.59107 9.59082 9.59054 9.59022
9.60916 9.60905 9.60890 9.60871 9.60850 9.60825 9.60797 9.60765
9.62554 9.62525 9.62514 9.62489 9.62461 9.62429
9.64143 9.64124 9.64103 9.64078 9.64050 9.64018
9.65664 9.65645 9.65624 9.65599 9.65571 9.65539
9.67120 9.67101 9.67080 9.67055 9.67027 9.66995
9.68516 9.68497 9.68476 9.68451 9.68423
9.69791 9.69763 9.69731
9.71124 9.71103 9.71078 9.71050 9.71018 9.70984
9.72361 9.72340 9.72315 9.72287 9.72255 9.72221
9.73551 9.73530 9.73505 9.73477
9.74696 9.74675 9.74650 9.80766
9.81668 9.81653
9.82525 9.82510
9.83363 9.83352 9.83337
9.84162 9.84151 9.84136
9.84934 9.75818 9.75799 9.75778 9.75753 9.75725 9.75693
9.76896 9.76881 9.76862 9.76841 9.76816 9.76788 9.96756 9.76722
9.77920 9.77905 9.77886 9.77865 9.77840 9.77812 9.77780 9.77746
9.78908 9.78893 9.78874
9.78800 9.78768 9.78734
9. 79861 9.79846 9.79827
9.79753 9.79721 9.79687
9.80747 9.80726 9.80701 9.80673 9.80641 9.80607
9.81634 9.81613 9.81588 9.81560 9.81528
9.82491 9.82470 9.82445 9.82417 9.82385
9.83318 9.83297 9.83272 9.83244
9. 81117 9.84096 9.84071 9.84043
9.84889 9.84868 9.84843 36 2 1 44
1 

Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
]
3° Angle.
5Page 4'
'
89 5 56
5 52
4° 00'
5 44
55 6° 0036
'
5 32
30'
'
5 28
5 24
65 16
5 08
4 56
h.m.
O
4 52
4 48
AAAAA
9.84710
9.84749
71 4 41
72
9.84669
70
9.85454
40
3 00
69 4 36
68 4 32
9.87612
9.87539 9.87498
46 3 04
4 28
47 3 08
62 4 08
12
3 16
9.88410 9.88399 9.88384 9.88365 9.88344 9.88319 9.88291
48
9.88259
61 4 04
9.89487
9.90781 9.90770 9.90755 9.90736 9.90715 9.90690
4.00
9.90069
3 3 48
9.90662
3 40
9.90630
3 44
9.90516
3 36
The 54
88x9.99720 90 6 00
TABLE 9.91255
9.99713
9.91230
V.
9.99660 87 5 48
9.91202
9.99614 86
9.91170
9.99554 85 5 40
9.91136
9.91097
82
9.99055 80 5 20
55
9.91723
9.91056
9.99182
9.99295
9.99395 83
9.99481 84
9.98760 78 5 12
9.98915 79
75
9.91618
74
56
.
9.91577
9.98004
9.97780
9.97821
9.97541
9.97582
59 3 56
9.97621
9.96478
9.97019
9.97287
9.97328
9.97367
9.97060
9.96123
9.97099
9.97133
9.96735
9.96776
9.99985 9.99974 9.99959 9.99940 9.99919 9.99894 9.99866 9.99834 9.99800 9.99761
Hour
Ángle.
0° 00'
0° 30'
1° 00'
1° 30'
2° 00'
2° 30'
3° 00'
30° 30° 00° 30'
° Finding of the Azimuthh. m.
O
3 00
3 04 46
3 08 47
3 12 48
3 16 49
3 20
3 24
3 28 52
3 32 53
3 36
3 40 55
3 44 56
3 48
3 52 | 58
3.56 59
4 00
4 04
4 08 62
4 12 63
4 16
4 20
4 24
4 28
4 32
68
4 36
69
4.40
4 44
71
4 48
4 52
73
4 56 74
5 00
75
5 04 76
5 08
77
5 12 78
5 16
79
5 20 80
5 24 81
5 28
82
5 32
83
5 36
84
540
40 85
5 44
86
5 48
87
5 52
5 56
89
PONDO ONOON BONOA OUNCE 28588 22207 P2F** **** ****88
45
9.84949
9.84947
9.85693
9.85691
9.84942
9.85686
9.86413
9.86411
9.86406
9.87107
9.87105
9.87100
9.87778
9.87776
9.87771
9.84934 9.84923 9.84908 9.84889 9.84868 9.84843 9.84815 9.84783
9.85678 9.85667 9.85652 9.85633 9.85612 9.85587 9.85559 9.85527
9.86398 9.86387- 9.86372 9.86353 9.86332 9.86307 9.86279 9.86247
9.87092 9.87081 9.87066 9.87047 9.87026 9.87001 9.86973 9.86941
9.87763 9.87752 9.87737 9.87718 9.87697 9.87672 9.87644 9.85493
9.85413
9.86213 9.86174 9.86133
9.86907 9.86868 9.86827
9.87578 50
9.88425
9.88423
9.88418
51
9.89050
9.89048
9.89043
9.89653
9.89651
9.89646
9.90235
9.90233
9.90228
54
9.90796
9.90794
9.90789
9.89035 9.89024 9.89009 9.88990 9.88969 9.88944 9.88916
9.89638 9.89627 9.89612 9.89593 9.89572 9.89547 9.89519
9.90220 9.90209 9.90194 9.90175 9.90154 9.90129 9.90101
9.88884
9.88225 9.88186 9.88145 50 3 20
9.88850 9.88811 9.88770
3 24
9.89453 9.89414 9.89373 52 3 28
9.90035 9.89996 9.89955 53 3 32
9.90596 9.90557 9.91336
9.91334
9.91329
9.91321
9.91857
9.91855
9.91850
9.91842
57
9.92359
9.92357
9.92352
9.92344
9.92333
9.92842
9.92840
9.92835
9.92827
9.93307
9.93305
9.93300
9.93292
9.92816
9.93281
60
9.93753
9.93751
9.93746
61
9.94182
9.94180
9.94175
9.94593
9.94591
9.94586
9.94988
9.94986
9.94981
61
9.95366
9.95364
9.95359
65
9.95728
9.95726
9.95721
66
9.96073
9.96071
9.96066
67
9.96403
9.96401
9.96396
9.96717
9.96715
9.96710
9.97015
9.97013
9.97008
9.97299
9.97297
9.97292
9.97567
9.97565
9.97560
9.97284
9.97552
9.97821
9.97819
9.97814
9.98060
9.98058
9.98053
9.98284
9.98282
9.98277
9.98494
9.98492
9.98487
9.98690
9.98688
9.98683
9.98872
9.98870
9.98865
9.99040
9.99038
9.99033
9.99195
9.99193
9.99188
9.99335
9.99333
9.99328
9.99462
9.99460
9.99455
9.99575
9.99573
9.99568
9.99675
9.99673
9.99668
9.99761
9.99759
9.99754
9.99834
9.99832
9.99827
9.99894
9.99892
9.99887
9.99940
9.99938
9.99933
9.99974
9.99972
9.99967
9.99993
9.99991
6 00 | 90 10.00000
9.99998
9.99986
9.99993
9.91310 9.91295 9.91276
9.91831 9.91816 9.91797 9.91776 9.91751
9.92318 9.92299 9.92278 9.92253 9.92225
9.92801 9.92782 9.92761 9.92736 9.92708
9.93266 9.93247 9.93226 9.93201 9.93173
9.93738 9.93727 9.93712 9.93693 9.93672 9.93647
9.94167 9.94156 9.94141 9.94122 9.94101 9.94076
9.94578 9.94567 9.94552 9.94533 9.94512 9.94487
9.94973 9.94962 9.94947 9.94928 9.94907 9.94882
9.95351 9.95340 9.95325 9.95306 9.95285 9.95260
9.95713 9.95702 9.95687 9.95668 9.95647 9.95622 9.95594 9.95562 9.95528
9.96058 9.96047 9.96032 9.96013 9.95992 9.95967 9.95939 9.95907 9.95873
9.96388 9.96377 9.96362 9.96343 9.96322 9.96297 9.96269 9.96237 9.96203
9.96702 9.96691 9.96676 9.96657 9.96636 9.96611 9.96583 9.96551 9.96517
9.97000 9.96989 9.96974 9.96955 9.96934 9.96909 9.96881 9.96849 9.96815
9.97273 9.97258 9.97239 9.97218 9.97193 9.97165
9.97541 9.97526 9.97507 9.97486 9.97461 9.97433 9.97401
9.97806 9.97795 9.97780 9.97761 9.97740 9.97715 9.97687 9.97655
9.98045 9.98034 9.98019 9.98000 9.97979 9.97954 9.97926 9.97894 9.97860
9.98269 9.98258 9.98243 9.98224 9.98203 9.98178 9.98150 9.98118 9.98084 9.98045
9.98479 9.98458 9.98453 9.98434 9.98413 9.98388 9.98360 9.98328 9.98294 9.98255 9.98214
9.98675 9.98664 9.98649 9.98630 9.98609 9.98584 9.98556 9.98524 9.98490 9.98451 9.98410
9.98857 9.98846 9.98831 9.98812 9.98791 9.98766 9.98738 9.98706 9.98672 9.98633 9.98592
9.99025 9.99014 9.98999 9.98980 9.98959 9.98934 9.98906 9.98874 9.98840 9.98801
9.99180 9.99169 9.99154 9.99135 9.99114 9.99089 9.99061 9.99029 9.98995 9.98956
9.99320 9.99309 9.99294 9.99275 9.99254 9.99229 9.99201 9.99169 9.99135 9.99096
9.99447 9.99436 9.99421 9.99402 9.99381 9.99356 9.99328 9.99296 9.99262 9.99223
9.99560 9.99549 9.99534 9.99515 9.99494 9.99469 9.99441 9.99409 9.99375 9.99336
9.99660 9.99649 9.99634 9.99615 9.99594 9.99569 9.99541 9.99509 9.99475 9.99436
9.99746 9.99735 9.99720 9.99701 9.99680 9.99655 9.99627 9.99595 9.99561 9.99522
9.99819 9.99808 9.99793 9.99774 9.99753 9.99728 9.99700 9.99668 9.99634 9.99595
9.99879 9.99868 9.99853 9.99834 9.99813 9.99788 9.99760 9.99728 9.99694 9.99655
9.99925 9.99914 9.99899 9.99880 9.99859 9.99834 9.99806 9.99774 9.99740 9.99701
9.99959 9.99948 9.99933 9.99914 9.99893 9.99868 9.99840 9.99808 9.99774 9.99735 9.99694
9.99978 9.99967 9.99952 9.99933 9.99912 9.99887 9.99859 9.99827 9.99793 9.99754
9.91691 9.91657
9.92193 9.92159 9.92120 9.92079
9.92676 9.92642 9.92603 9.92562
9.93141 9.93107 9.93068
9.93619 9.93587 9.93553 9.93514 9.93473 60
9.94048 9.94016 9.93982 9.93943 9.93902
9.94459 9.94427 9.94393 9.94354 9.94313
9.94854 9.94822 9.94788 9.94749 9.94708 63 4 12
9.95232 9.95200 9.95166 9.95127 9.95086 64 4 16
9.95489 9.95448 65 4 20
9.95834 9.95793 66 4 24
9.96164
58 3 52
9.93027 9.96437
*** ***♡♡♡ IZNIJ ZI≈≈Y 8898* 28828 60489 0oOOO 4 00
5 04
5 157MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-

RULE.-Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 24
Hour
16
Declination.
Angle.
12
Hour
04
56
Angle.
48
44
'
30'
40
12° 00
11° 30'
11° 00'
10° 30'
10° 00'
9° 30'
9° 00'
00'
]
12° 8° 30'
30'
8736
32
28
24
16
12
OS
FOR 20*** ***NG OTONG LONG ON SONG 2008 2008
45 3 00
56
44
52
48
44
• h. m.
40
h.m.
36
32
00
24
EUR 0.00
O1234
0 0 OHOM 16
12
8.23058
8. 23144
8. 23226
8. 23305
8. 23381
8.23453
8. 23521
8. 23586
8.23648
23706
8. 23761
08
8. 8. 8. 23813
S. 23861
04
30 2 00
56
04
52
48
44
40
24 36
32
28
20 20
19
54002
53857
8.53154
8.53802
8. 8. 53909
8.53240
8. 53957
8.53322
8. 53401
8.53744
8.53477
8.53549
8.53617
8.53682
18
17 08
16
00
1 14
13 52
12
11
10
PERRE HONDA 222** ***** OHNE 10 CM 27***3
9.83821
9.83907
9.83989
9.84068
8.70752
TH
8.70838
8.70920
8.70999
8. 71075
8.71215
9.83049
8.71280
8.71342
8.71455
8.71147
8.71507
8. 71555
S. 71600
8.71400
9.83135
9.83217
9.82250
9.82336
9.82418
9.82497
42
9.81423
9.81509
9.81591
9.84144
9.81746 9.81670
9.80566
9.80652
8.83230
8.83316
8.83398
8.83477
8.83553
8.83625
8.83758
9.80734
8.83985
8.83693
8.83820
84033
8.83933 S. 84078
9.80889 9.80813
8.83878
8. 40
9.79679
9.79765
9.79847
9.79926
9.80002
9.80074
9.84284
9.84349
9. 84411
9.84469
9.84524
9.84576
32
9.84624
9.84669
45
9.83577
9.80142
9.80207
9.83639
9.80327 9.80269
8.92902
9.83697
8.92988
8.93149 8.93070
8.93225
8.93297
8.93430
&
8.93492
8.93605 8.93550
93705
8.93365
8.93657
8.93750
8. 9.83752
9.83804
9.83852
9.83897
44
9.82898
9.82953
9.83005
9.83053
9.83098
9.82126
9.82178
9.82226
944ND
9.00795
THERE
40
9.82271
9.00881
The 9.00963
9.01042
9. 01118
9.01190
9. 01258
9.01323
8.01385
8.01443
8.01550
67299. 01598
41
9. 01643
8.01498
42
9.81269
9. 81321
9.81369
9. 81414
9.80382
9.80434
48 12
9.80482
9.80527
40
4288
2GENIE9.07461
9.07547
9.07629
9.07708
52
9.07784
9.07856
9.07989
?
9.08164
9.07924
9.08051
9.08216
9.08309
'9.08109
9.08264
3 00
44
39
38
56
9.78759
9.77806
9.78845
9.78927
9.79006
9.77892
9.77974
9.78053
9.78129
9.78201
9. 13228
9. 13314
9.13396
9. 13475
9.13551
9.13691
9.79082
9.79154
9. 13756
9. 13818
BONDO
9.13876
1 00 15
9.13931
9. 13983
9.14031
STENA
14076
9.13623
9.79222
8
9. 9.79287
9.79407 9.79349
9.79462
9. 79514
9. 79562
9.79607
9.78334 9.78269
9.78396
01 16
9.78509 9.78454
9.78561
9.78609
9.78654
9.76818 37
35
9.74731
9.18305
9. 18391
9. 18473
9.18552
9.18628
9. 36
18768
9.18833
9.18895
9.19008
9.18700
9.19060
9. 19108
9. 19153
9
9.18953
9.76904
9.75880
9.77065 9.76986
9.77141
9.77213
9.77281
9.77346
9.77408
9.77466
9.77521
9.77573
9.77621
9.77666
9.75962
9.76041
9. 76117
9.76189
9.76257
9. 76322
9.22839
9.22925
9.23007
9.23086
9.23162
9.23429
9. 76384
9.23234
9.23302
9.23542
9.23367
9.23594
9.23487
9.23687
9.76442
V.
9.23642
9.76497
10
9. 76549
9.76597
9.76642
74817
9. 9.74899
29.74978
2229.75054
9.75126
9.75194
9.75259
9. 75321
9.75379
9.27687
9.27735
9.27780
9.75434
9.75486
9.75534
9.27100
9.75579
9.27179
9.27395 9.26932
9.27255
1000
9.31415
9.31463
9.31508
28 37
32 38
36 39
24 36
20❘ 35
34
9. 73628
28
9.73714
9.31123
9.73796
9.34836
9.30828
200
9.34929
9.34784
9.34884
9.30907
9.30983
9.73875
9. 73951
9.74091 9.74023
9.74156
9.74218
9.34476
9.74276
9.74331
32
9.74383
9.74431
9.34167
9.37830 9.37768
9.37995
**
9.34249
9.38043
9.380SS
9.37943
14
9.34328
9.74476
16 | 34
33
32
9.72483
9.71293
9.37703
9.72569
9.72651
9.72730
9.72806
9.27018
9.30660
9.30746
9.34081
9.37240
9.72878
9.37326
9.37408
9.37487
9.37563
.
9.37635
9.72946
9.73011
9.73073
9.73131
9.73186
9.73238
9.73286
73331
9. 12 33
9.71379
9.71461
9.71540
*GANG
9.71616
9.71688
9.71756
9.71821
9.71883
9.71941
15
9.71996
9.40172
9.40258
9.40340
9.40419
9.40495
9.40567
9.40635
9.40700
9.40762
9.40820
9.40875
9.72048
9.40927
9.40975
9.41020
9.72096
48
9. 72141
31
9.70056
9.70142
9.70224
9.70379 9.70303
9.68769
9.68855
9.68937
9.69016
9.69092
9.70451
9.69164
9.70584 9.70519
9.70646
9.69417 9.69359 9.69297 9.69232
9.70704
9.42906
9.42992
9.43153
9.70759
9.43229
9.43369
9.43074
9.43434
9.43496
43554
9.43661
9.43301
9.43709
56
9.43609
9.43754
9. 70811
9.70859
9. 9.70904
04 31
9.69472
27*2
9.69524
9.69572
9.69617
29
28
9.67429
9.66033
9.67515
9.67597
9.66119
9.64577 27
9.45466
9. 45552
9.45634
9.45713
9.45789
Omam
89.45861
9.45994 9.45929
9.46169
9.64663
9.46269
9.46056
9.46221
9.46314
17
9. 64745
9.46114
26
9.63056
9.63142
9.63224
9.63379 9.63303
9.64900 9.64824
9.66201
9.66280
9.67676
9.67752
9.66356
9.66496 9.66428
9.67824
9.67892
9.67957
9.66561
9.47870
9.66681 9.47956
9.48117 9.48038
9.48193
9.48333
9.66623
9.68077 9.68019
ONE
9.48398
9.48460
9.48625
9.48265
9.48518
9.48673
9.48718
18
9.48573
9.68132
9.68184
9.68232
9.68277
29
9.66736
9.66788
9.66836
9.66881
52 28
9.64972
9.65105 9.65040
9.65167
9.50383
9.65225
9.50459
9.50531
9.50599
9.50664
9.50726
9. 50784
9.50839
9.50891
9.50939
9.50984
19
9.50136
9.50304
9.50222
9.65280
9.65332
9.65380
9.65425
9.63451
9.63519
9.63584
9.63646
9.63704
9.63759
9.63811
9.63859
9.63904
44 26
25
9.61467
DEL
9.61553
9.52277
9.52363
9.52445
9.52524
9.52672 9.52600
9.52740
9.52805
9.52980
9.61635
9.52867
9.53032
9.53080
9.53125
9.52925
9.61714
20 | 20
9.61790
9.61862
9.61930
9.61995
9.62057
9.62115
9.62170
9.62222
9.62270
9.62315
40 | 25
23
9.59803
9.58060
9.54305
9.54391
9.54768
9.54552
9.54628
9.54833
9.54895
9.55060
9.54700
9. 9.55008
9.55108
9.55153
24 | 21
9.54473
54953
9.59889
9.59971
9.60050
9.60126
9.60198
9.60266
9.60331
9.60393
9.60451
9.60506
9, 60558
9.60606
9.60651
36 24
9.58146
9.58228
9.56230
9. 56316
9.56398
9.56477
9.56553
9.56625
9.56693
9.56758
9.56933
9.58307
9.56878
9.57033
9.58383
9.57078
9.56985
9.56820
9.58455
9.58523
9.58588
9.58650
9.58708
9.58763
9.58815
9.58863
9.58908
23
1586° 30'
7° 00'
° ° 13° 00TABLE Finding of the Azimuth
2 00 | 30
08 | 32
K89 **23906
S. 9.27635 9.27580 9.27522 9.27460
9.31363 9.31308
9.31188
9.31250
9.34729 9.34671 9.34609
9.37888 9.34544
9.27327
9.31055
9.34404
9.75794 
#9.81214 9.81156
9.82071 9.82013
9.82840
9.81094 9.81029 9.80961
9.81951 9.81886 9.81818
9.82778 9.82713 9.82645
9.83512 9.83444
9.84216
9.82573
9.83372 9.83296





Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angie
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
Angle.
13° [Page ° 30'
'
159
56
52
hO
COTONE CONG CHINO CON CAN CHAN ONE OK RO
00
.
48
9.83821 9.83989 14
9.84651
86
40
9.85453
04
9.85371
36
9.86147
9.86226
32
9.87045 9.86973
83
12
9.86065
28
82
24
81
20 9.86736
9.86818
80 20
16
9.86897
9.87113
79
9.86650 12
78
08
77
49
16
9.87465
9.87544
01
75 5 00
9.88000 9.87383
74 56
9.87297 52
48
9.88008 9.87922 51
50
The 9.89430
44
28
24
9.89991
20
9.90063
9.88611 9.88525 20
28
9.89836
12
24
9.89193 08
04
52
9.89754
48
9.89668 44
32
40
TABLE 54 36
SHOOT BONO CUNCI 48538 PENRT POKER 8**** 287288
9.90531 9.90671 9.98872 90
9.98865
9.90376
9.90455
9.98846
9.99169
9.90208 9.90294
9.99241
55
9.90976
9.91052
9.98766
9.98706
9.90897
9.98633 81
76
9.97648
9.91554
9.97730
9.91399
9.91478
9.97366
9.97452
9.92574
V.
9.97534
9.97156
9.91961
9.92109 9.92037
9.97242
9.97324
9.91882
57
73
9.96932
9.92347
9.97018
9.92502
72
58
Finding of the Azimuth.
9.96693
9.92426
9.96779
9.92265
71
9.92179 9.96139
9.96525
9.96171 70 40
59 56
9.95887 36
9.92948
9.95589 9.92872
32
9.92793
67
9.92625 9.92711
66
9.94945
60 4 00
9.95275
9.94600 65
9.93222
9.93449
16
9.93377
9.94238 9.93301
62
63
9.93054 61
9.93140
9.93465
9.94485 9.94406 9.94324
9.93551
9.93633
9.93788
9.94561
9.93712
9.94107
9.93860
9.94183
9.94255
9.99335
Hour
Angle.
6° 30
my° 00'
7° 30'
8° 00'
8° 30'
9° 00'
9° 30
10° 00'
10° 30' 11° 00' 11° 30' 12° 00' 1200h.m.
о
. m3 00
04
08
12
16
20
24 51
28 52
32 53
36 54
40
44
48
52 58
56
4 00
04
08
12
16
20
24
28
32
36
40
44
48
52
56
5 00
04
76
08
77
12
16
79
20 | 80
24
28
82
32 83
36
40 85
14 86
48 87
52 88
56 89
6 00
90
8***** ****8 IIIJA 2IZZY 88988 28828 **** AUNGO SAADA
9.94669
9.84624
9.84576
9.85413
9.85368
9.85320
9.86133
9.86088
9.86040
9.86827
9.86782
9.86734
9.87498
9.87453
9.87405
9.84524 9.84469 9.84411 9.84349 9.84284 9.84216 9.84144 9.84068
9.85268 9.85213 9.85155 9.85093 9.85028 9.84960 9.84888 9.84812
9.85988 9.85933 9.85875 9.85813 9.85748 9.85680 9.85608 9.85532
9.86682 9.86627 9.86569 9.86507 9.86442 9.86374 9.86302
9.87353 9.87298 9.87240 9.87178
9.83907
9.84733 45 3 00
9.84565 46
9.85285 47
08
9.85979 48 50
9.88145
·9.88100
9.88052
9.88770
9.88725
9.88677
9.89373
9.89328
9.89280
9.89955
9.89910
9.89862
9.90516
9.90471
9.90423
9.87945 9.87887 9.87825 9.87760 9.87692 9.87620
9.88625 9.88570 9.88512 9.88450 9.88385 9.88317
9.89228 9.89173 9.89115 9.89053 9.88988 9.88920
9.89810 9.89755 9.89697 9.89635 9.89570 9.89502
9.90371 9.90316 9.90258 9.90196 9.90131 9.88245 9.88169 9.88090
9.88848 9.88772 9.88693
9.89354 9.89275
9.89915 52 9.89107 53
55
9.91056
9.91011
9.90963
9.91577
9.91532
9.91484
9.92079
9.92034
9.91986
9.92562
9.92517
9.92469
9.93027
9.92982
9.92934
9.90911 9.90856 9.90798 9.90736
9.91432 9.91377 9.91319 9.91257
9.91934 9.91879 9.91821
9.92417 9.92362 9.92304
9.92882 9.92827 9.92769
9.91759
9.92242
9.92707
9.90603
9.91192 9.91124
9.91694 9.91626
9.92177
9.92642 9.90815 9.90729 56
9.91317 9.91231
9.91800 9.91714
9.93473
9.93428
9.93380
9.93328
9.93902
9.93857
9.93809
9.94313
9.94268
9.94220
9.94708
9.94663
9.94615
9.95086
9.95041
9.94993
9.95448
9.95403
9.95355
9.95793
9.95748
9.95700
9.96123
9.96078
9.96030
9.96437
9.96392
9.96344
9.96735
9.96690
9.96642
9.97019
9.96974
9.96926
9.97287
9.97242
9.97194
72
9.97541
9.97496
9.97448
9.97780
9.97735
9.97687
9.98004
9.97959
9.97911
9.98214
9.98169
9.98121
9.98069
9.98410
9.98365
9.98317
9.98592
9.98547
9.98499
9.987€0
9.98715
9.98667
9.98915
9.98870
9.98822
9.99055
9.99010
9.98962
9.99182
9.99137
9.99089
9.99295
9.99250
9.99202
9.99395
9.99350
9.99302
9.99481
9.99436
9.99388
9.99554
.9.99509
9.99461
9.99614
9.99569
9.99521
9.99660
9.99615
9.99567
9.99694
9.99649
9.99601
9.99713
9.99720
9.99668
9.99620
9.99675
9.99627
9.93273 9.93215 9.93153 9.93088 9.93020
9.93757 9.93702 9.93644 9.93582 9.93517
9.94168 9.94113 9.94055 9.93993 9.93928
9.94563 9.94508 9.94450 9.94388 9.94323
9.94941 9.94886 9.94828 9.94766 9.94701 9.94633
9.95303 9.95248 9.95190 9.95128 9.95063 9.94995 9.94923 9.94847 9.94768 9.94686
9.95648 9.95593 9.95535 9.95473
9.95408 9.95340 9.95268 9.95192 9.95113 9.95031
9.95978 9.95923 9.95865 9.95803 9.95738 9.95670 9.95598 9.95522 9.95443 9.95361
9.96292 9.96237 9.96179 9.96117 9.96052 9.95984 9.95912 9.95836 9.95757 9.95675
9.96590 9.96535 9.96477 9.96415 9.96350 9.96282 9.96210 9.96134 9.96055 9.95973
9.96874 9.96819 9.96761 9.96699 9.96634 9.96566 9.96494 9.96418 9.96339 9.96257
9.97142 9.97087 9.97029 9.96967 9.96902 9.96834 9.96762 9.96686 9.96607
9.97396 9.97341 9.97283 9.97221 9.97156 9.97088 9.97016 9.96940 9.96861
9.97635 9.97580 9.97522 9.97460 9.97395 9.97327
9.97255
9.97179 9.97100
9.97859 9.97804 9.97746 9.97684 9.97619 9.97551 9.97479 9.97403
9.98014 9.97956 9.97894 9.97829 9.97761 9.97689 9.97613
9.98265 9.98210 9.98152 9.98090 9.98025 9.97957 9.97885 9.97809
9.97562
9.98447 9.98392 9.98334 9.98272 9.98207 9.98139 9.98067 9.97991 9.97912 9.97830 9.97744
9.98615 9.98560 9.98502 9.98440 9.98375 9.98307 9.98235 9.98159 9.98080 9.97998 9.97912
9.98770 9.98715 9.98657 9.98595 9.98530 9.98462 9.98390 9.98314 9.98235 9.98153 9.98067
9.98910 9.98855 9.98797 9.98735 9.98670 9.98602 9.98530 9.98454 9.98375 9.98293 9.98207
9.99037 9.98982 9.98924 9.98862 9.98797 9.98729 9.98657 9.98581 9.98502 9.98420 9.98334
9.99150 9.99095 9.99037 9.98975 9.98910 9.98842 9.98770 9.98694 9.98615 9.98533 9.98447
9.99250 9.99195 9.99137 9.99075 9.99010 9.98942 9.98870 9.98794 9.98715 9.98633 9.98547
9.99336 9.99281 9.99223 9.99161 9.99096 9.99028 9.98956 9.98880 9.98801 9.98719
9.99409 9.99354 9.99296 9.99234 9.99169 9.99101 9.99029 9.98953 9.98874 9.98792
9.99469 9.99414 9.99356 9.99294 9.99229 9.99161 9.99089 9.99013 9.98934 9.98$52
9.99515 9.99460 9.99402 9.99340 9.99275 9.99207 9.99135 9.99059 9.98980 9.98898 9.98812
9.99549 9.99494 9.99436 9.99374 9.99309
9.99093 9.99014 9.98932
9.99568 9.99513 9.99455 9.99393 9.99328 9.99260 9.99188 9.99112 9.99033 9.98951
9.99575 9.99520 9.99462 9.99400
9.99267 9.99195 9.99119 9.99040 9.95958
9.94028 9.93946
9.93860 64 68 69 MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina


RULE.-Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 52
Hour
48
Declination.
Angle.
41
40
Hour
36
32
Angle.
28
30'
'
24
19° 0018° 30'
18° 00'
131917° 00'
° 00'
20
1614° 16
13]
00'
12
08
'
° 30'
FREE '
**** GANG OF NO LIONO CON ON 20228 09068
1515° 00'
° 30'
3.00
45
9.82384
56
44
9. S1612
52
43
9.80813
42 48
9.79986
41
O
40 h.m.
h.m.
40
£36
32
00
0123 24
0 OH2O 16
0 00
-00
-∞
12
08
-∞
∞
01
01
30 2 00
8.21621
8.21753
8. 23058
8.21882
22876
8. 8.22007
56
8. 8.22128
52
48
8.22780
0-1
22470
22680
44
40
25
8.53154
22577
8. 8. 53065
24 36
8. 32
23
28
12
24
20
20
16
19
12
18
8.51717
8.52972
8. 51819
8.52566
8.52673
8.52876
8.51978
16
8.52776
52103
08
17
+
8. 8.83230
01
16
00
1 15
8.70164
70663
272 20
10 8.70570
S. 222** **~*2 OHN≈ 18500 5
41
8.70374
8.70474
9.79129
9.78242
8.70271
39
8.69315
8.69447
8.69576
8.69701
38
36
35
9.77322
9.73291
CONSO
9.77454
S. $3141
9.77583
8.82749
9.77708 8.82852
8.83018
8.82642
8.82952
9.77829
9.76501
9.76630
9.76755
9.76876
75513
8.81793
9. 8.81925
8.82179 8.82051
4
92813
<
9.75642
S. 8.92421
8.92902
75767
9. 9.75888
8.92720
9. 74489
8.92524
8.92624
9.74618
9. 74743
9. 73426
9.73555
8.92314 8.92201
9.73680
9.73919
9.82645 9.82516
9.74143 9.81972
9.82771
9.83543
9.83639
9.83732
9.83821
8.91465
36
8.91597
9.82867
8.91726
8.91851 9.82960
9.83049
8.91972
9.82068
9.82161
8.92090
9.82250
43
9.80942
9.81145 9.81045
9. 81241
9.81334
9.81423
42
9. 79091
9.79978
9.80085
94498
PEARE
9.80188
8.99358
9.80288
8.99190
8.99619
The 6
8.99744
8.99865
9.00795
9.80384
9.00706
9.80477
9.00517
9.80566
9.00314
41
9.00633
9.00097
9. 79198
9.00417
41 99983
9.79301
9.00207
9.79401
11
9.79497
9.07461
9.79590
8. 9.79679
9.77947
9.78278
9.78381
9.78481
9.78577
9.78670
9.78759
9.06024
39
9.06156
9.06285
9.06410
9.06531
7
9.06649
9.06980
9.77325
9.06873
9.07279
9.77428
9.07372
9.07083
9.06763
9.07183
9.77528
9.77624
52 | 13
9. 77717
9.77806
38
9. 76337
9.76440
76540
9. 9.76636
9.76729
8
9.76818
9. 11791
9. 11923
9. 12052
9. 12177
9. 12298
9. 13228
9.75313
9.12530
13139
9.75416
9.75516
9. 13046
9. 12416
TABLE 9.75612
9. 9. 12610
9.12950
9.75705
9. 12850
9.75791
56 11
1 00❘ 15
9. 12747
9.74250
9.74353
9.74453
9.74519
9.74642
9.74731
35
34
9.72452
33
32
31
9
9.16868
9.17000
9.17129
17375
29
9. 28
9. 27
18305
17254
26
9. 17493
9.17607
9. 9.58366
18216
9. 9. 9.50840
18123
9.17927
9. 51226 9.51101 9.50972
9.53251 9.53129 9.53000
9.55179 9.55054 9.54925
9.57009 9.56881 9.56755
9.58752 9.58627 9.58498
9.60769 9.60655 9.60537 9.60416 9.60291 9.60162 9.60030
9.62358 9.62244 9.62126 9.62005 9.61880 9.61751 9.61619
9.63879 9.63765 9.63647 9.63526 9.63401 9.63272 9.63140
9.65335 9.65221 9.65103 9.64982 9.64857 9. 64728 9.64596
9.66731 9.66617 9.66499 9.66378 9.66253 9.66124 9.65992
9.67957 9.67839 9.67718 9.67593 9.67464 9.67332
9.69244 9.69126 9.69005 9.68880 9.68751 9.68619
9.70363 9.70242 9.70117 9.69988 9.69856
9.71553 9.71432 9.71307 9.71178 9.71046
9.72323 9. 72191
9.18027
9.17717
9.72698 9.72577
9. 17824
9.72816
9.72930
71671
9. 9.71785
70481
9. 9.68491 9.68391 9.68288 9.68181 9.68071
9.69575 9.69468 9.69358
9.70812 9.70705 9.70595
9.72002 9.71895
9.73040
9.73147
9.73250
9.73350
9.73446
10
9.21402
9.21534
9.73539
9.21663
9.73628
9.21909
34
10
9.21788
9.22750
40 9. 72105
9.22839
9.72205
9.72301
9.22657
9.72394
9.22251
9.72483
9.22027
9.22461
9.22561
9.22141
9.70915
9.22358
9.71015
9.71111
9.71204
9. 71293
9.69678
9.69778
9.69874
9.69967
9.70056
31
V.
9.68587
9.68680
11
9.25495
9.25627
9.25756
9.25881
9.68769
9.26932
30
9.26234 9.26750
9. 65445
9.26843
9.66841
9.67151 9.67051 9.66918
9.26002
9. 26451
9.26651
9.26120
9.26551
9.67247
9.67340
9.26344
9.67429
29
9.65552
9.65755 9.65655
9.65851
9.65944
9.66033
9.63989
9.64096
12
9.29223
9. 29355
9.30660
9.64299 9.64199
9.29484
9.29609
12
9.29730
9.64395
9.30382 9.30478
9.30571
9.61488
9.64577
9.62468
9.30072
9.30179
9.302S2
9.62575
9.62678
9.62778
9.29848
9.29962
9.62874
9.62967
Finding of the Azimuth.
9.63056
26
9.60879
9.60986
9.61189 9.61089
9.61285
13
9.32644
9.32776
9. 32905
9.33030
9.61378
33151
9.34081
9.61467
9.33269
9.33899
9.58873
9.58991
9.33992
9.33383
9. 9.33493
9.33600
9.33803 9.33703
9.59105
9.59215
9.59322
9.59525 9.59425
9.59621
9.59714
9.59803
9.57130
9.57248
9.57362
9.57472
57579
14
9. 9.35803
9.35935
9.36064
9.36189
9.37240
56
9.36962
9.37151
9.57682
9.57782
9.36310
9.36862
9.37058
9.57878
9.36652
9.57971
9.5060
9.36428
9.36759
9.36542
9.55300
55418
9. 9.55532
9.55642
9.55749
9.55852
9.55952
9.56048
9.56141
9.56230
9. 51347
9.53375
9.53493
9.38735
9.38867
9.38996
9.53607
9.39242
9.53717
81829
9. 39121
9.53824
9.40083
9.40172
9.53927
9.51027
9.39990
9.54123
9.39794
9.54216
9.39584
9.54305
9.39891
9.39691
9792
9.39360
21
9. 9.39474
51465
9.51579
04 9.51689
9.51796
9.51899
9.51999 9.52095
9.52188
9.52277
9.41469
9.41730 9.41601
20
9.41855
9.42817
9.48699
9.41976
9.42318
17
9.12906
9.42724
9.46433
9. 44029
9.44290 9. 42528
9.42094
9.48831
9.42628
42425
42208
9.46819
9.49085
9. 12 18
9. 49206
99.46940
9.49324
9.47058
9.49438
9.49548
9. 49655
9.49758
9.49858
9.49954
9.50047
9.50136
9.47172
44415
19
9.45377
9.47282
16 9.47389
9. 9.45188
9.47492
9.15466
9.44536
9.44651
9.47592
9.45284
9.45088
9.47688
9.47781
9. 44878
9.47870
9.44985
9. 44768
2422
22222 ****
20
3 00❘ 45
56
52
48
44
40 40
36
32
37
28 36
24 20
16
12 33
OS 32
01
200
56
52 28
48
41
25
40 36
32
16014° 30'
° 3016° 0017° 30'
° 83622 22723 8.70752
22969
8. 8. 22360 8.222-16
8.52456 8.52342 8.52224
8.70054 8.69940 8.69822
8.82532
8.82300
8.82418
16
OS 28 | 22
| 22222 2228 10 cm 27, 9.44161
9.46694 9.46565
9.48960 21
9.52868
9.54793
9.56623
9.74033
9.73801
9. 75206 9.75096 9.74982 9.74864
9.76230 9.76120 9.76006
9.77218 9.77108 9.76994
9.78171 9.78061
9.78981 9.78867 9.78749 9.78628 9.78503 9.78374
9.79868 9.79754 9.79636 9.79515 9.79390 9.79261
9.80835 9.80725 9.80611 9.80493 9.80372 9.80247 9.80118
9.81872 9.81769 9.81662 9.81552 9.81438 9.81320 9.81199 9.81074 9.80945
9.82671 9.82568 9.82461 9.82351 9.82237 9.82119 9.81998 9.81873 9.81744
9.83443 9.83340 9.83233 9.83123 9.83009 9.82891 9.82770 9.74357
9.75381
9. 76369


Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
Angle.
18° 00' 19° 00' 19° 30'
[Page 161
600
O
90
h. 56
9.83009
m.
9.82891
FOTONG 9.82645
9.82770
52
88
9.82516
48
9.82384
44
C
9.83635
9.83753
40
24
9.83389
9.83514
45 3 00
3.00
81
9.85720 9.85599
9.83128
9.83260
16
12
46
9.83980
9.84109
78
08
77
9.84803
04
9.84674
5 00
74 56
9.85474
04
08
52
9.85345
73
48
72
49
12
44
71
40
70
16
69 36
32
9.86709 9.86599 9.86485
68
9.86246
9.86367
The 28
24
9.85860 9.86121
20
9.85992
16
08
50 20
04
9.86485 9.86746
TABLE 9.86871
56
52
9.86617
9.89080 9.88970 9.88856 9.88738
goo
****** 9.87474
21
9.87349
9.97567 9.97435
9.87220
9.97560 9.97428 89
9.97541 9.97409
9.87802
9.87931
9.88056
9.97329 86
28
9.97269
9.98594 9.98494 9.98391 9.98284 9.98174 9.98060 9.97942 9.97821 9.97696
9.88492
9.88617
9.98328 9.98225 9.98118 9.98008 9.97894 9.97776 9.97655 9.97530 9.97401
36
9.88363
9.97110 83 32
9.97242
51
9.87088 52
9.87670 53 32
9.88231 54
9.97196
9.97010 36
28
9.96897
9.89830 9.89727 9.89620 9.89510 9.89396 9.96770 V.
9.89157
20
9.89032
9.96902
9.88771 55
9.97029
9.97142
40
9.97457
9.89292 9.91901 9.91801 9.91698 9.91591 9.91481 9.91367 9.91249 9.91128 9.91003 9.90874
9.97271
44
9.97821 9.97703 9.97582
9.97517 9.97396
9.97935
9.97849
9.97749
59
9.97158
9.97031
9.91927
9.96630 79
9.91813
9.96762
9.91695 9.91574
Finding of the Azimuth.
9.96607 9.96475
9.91449
9.96736
9.91188 9.91320
9.92356
9.96891
9.96307
9.92242
60 4 00
9.92124 9.92003
9.91878
9.96439
9.96568
9.96125
9.96257
9.91749
9.95929
9.96061
9.96190
9.91617
9.96315
61
9.92767 9.92653
9.95495
9.92289
9.92414
9.92535
9.95719
9.95851
9.95980
9.92160
9.96105
9.95627
9.93540 9.93426
9.92930 9.92809
9.95756
9.92684
9.95256
9.92555
9.95388
63 12
9.93062
9.95517
9.95002
9.95134
9.95263
9.92933
9.94734
9.94866
9.92801
9.94995
9. 94450
64
9.94582
9.93549 9.93424
9.94711
9.93295
67
93163
9 9.94152
9.93838
65
9.94284
9.93970
9.93894 9.93769
9.94224 9.94099
9.93640
9.94345
9.93508
66
9.97635
9.97619 9.97509
9.97746 9.97636
Hour
Angle.
13° 00'
13° 30'
14° 00'
14° 30'
15° 00'
15° 30' 16° 00'
16° 30' 17° 00' 17° 30'
18° 30' h. m.
****
C**NG
STONE
2**** **NG BUONG
LEONG
O
CETON
3 00 45
46
47
48
49
。 10 ON OO
9.83821
9.84565
9.85285
9.85979
9.83732
9.83639
9. 81176
9.84383
9.85196
9.85103
9.83543
9.8-1287
9.85007
•
9.85890
9.85797
9. 85701
9.86650
9.86561
9.86468
9.86372
9.86169
9.83443 9.83340 9.83233 9.83123
9.84187 9.84081 9.83977 9.83867
9.84907 9.84804 9.84697 9.84587 9.84473 9.84355 9.84234
9.85601 9.85498 9.85391 9.85281 9.85167 9.85049 9.84928
9.86272
9.86062 9.85952 9.85838 9.83848 47
9.84542 48
9.85213 50
9.87297
9.87208
9.87115
9.87019 9.86919
9.86816
40 55
44 56
48 57
4 00 60
61
08 62
63
NAMN BONA.
SUNI
51
9.87922
9.87833
9.87740
9.87644 9.87544
9.87441
52
9.88525
9.88436
9.88343
9.88247 9.88147
9.88044
53
9.89107
9.89018
9.88925
9.88829
9.88729
9.88626
54
9.89668
9.89579
9.89486
9.89390
9.89290
9. 89187
9.87334 9.87224 9.87110 9.86992
9.87937 9.87827 9.87713 9.87595
9.88519 9.88409 9.88295 9.88177
9.90208
9.90119
9.90026
9.89930
9.90729
9.90640
9.90547
9.91231
9.91142
9.91019
58
9.91714
9.91625
9.91532
59
9.92179
9.92090
9.91997
9.89278
9.88903
9.90451 9.90351 9.90248 9.90141 9.90031 9.89917 9.89799 9.89678 9.89553 9.89424
9.90953 9.90853 9.90750 9.90643 9.90533 9.90419 9.90301 9.90180 9.90055 9.89926
9.91436 9.91336 9.91233 9.91126 9.91016 9.90902 9.90784 9.90663 9.90538 9.90409
56
9.89794 57 48
9.90277 58
9.90742 9.92625
9.92536
9.92443
9.92144
9.92037
9.93054
9.92965
9.92872
9.92776
9.92466
9.93465
9.93376
9.93283
9.93187
9.93860
9.93771
9.93678
64
9.94238
9.94149
9.94056
24 66
32 68
36 69
40 70
48 72
5 00 75
78
16 79
20❘ 80
81
82
83
36 84
85
44 86
48 87
52 88
56 89
6 00 90
2000
22222
POE**
87***
*****8
65
9.94600
9.94511
9.94418
9.94945
9.94856
9.94763
67
9.95275
9.95186
9.95093
9.95589
9.95500
9.95407
9.95887
9.95798
9.95705
9.96171
9.96082
9.95989
71
9.96439
9.96350
9.96257
9.96693
9.96604
9.96511
73
9.96932
9.96843
9.96750
74
9.97156
9.97067
9.96974
9.97366
9.97277
9.97181
76
9.97562
9.97473
9.97380
77
9.97744
9.97655
9.97562
9.97912
9.97823
9.97730
9.98067
9.97978
9.97885
9.98207
9.98118
9.98025
9.98334
9.98245
9.98152
9.97929 9.97829
9.98056 9.97956
9.98447
9.98358
9.98265
9.98169 9.98069
9.97859
9.92347 9.92247
9.92676 9.92573
9.93087 9.92984 9.92877
9.93582 9.93482 9.93379 9.93272
9.93960 9.93860 9.93757 9.93650
9.94322 9.94222 9.94119 9.94012 9.93902 9.93788 9.93670
9.94667 9.94567 9.94464 9.94357 9.94247 9.94133 9.94015
9.94997 9.94897 9.94794 9.94687 9.94577 9.94463
9.95311 9.95211 9.95108 9.95001 9.94891 9.94777 9.94659 9.94538 9.94413
9.95609 9.95509 9.95406 9.95299 9.95189 9.95075 9.94957 9.94836
9.95893 9.95793 9.95690 9.95583 9.95473 9.95359 9.95241 9.95120
9.96161 9.96061 9.95958 9.95851 9.95741 9.95627 9.95509 9.95388
9.96415 9.96315 9.96212 9.96105 9.95995 9.95881 9.95763 9.95642
9.96654 9.96554 9.96451 9.96344 9.96234 9.96120 9.96002 9.95881
9.96878 9.96778 9.96675 9.96568 9.96458 9.96344 9.96226
9.97088 9.96988 9.96885 9.96778 9.96668 9.96554 9.96436
9.97284 9.97181 9.97081 9.96974 9.96864 9.96750 9.96632 9.96511 9.96386
9.97466 9.97366 9.97263 9.97156 9.97046 9.96932 9.96814 9.96693
9.97634 9.97534 9.97431 9.97324 9.97214 9.97100 9.96982 9.96861
9.97789 9.97689 9.97586 9.97479 9.97369 9.97255 9.97137 9.97016
9.97726
9.97395 9.97277 9.97156
9.97853
9.97522 9.97404 9.97283
9.97966
9.93162 9.93048
9.93308 9.93187 9.92028 62
9.92423 9.98547
9.98458
9.98365
9.98269
9.98633
9.98544
9.98451
9.98355
9.98169 9.98066
9.98255 9.98152
9.97959
9.98045
9.97735 9.97617 9.97496
9.97371
80 82 9.97328 9.98706
9.98617
9.98524
9.98428
9.98766
9.98677
9.98584
9.98488
9.98812
9.98723
9.98630
9.98534
9.98846
9.98757
9.98664
9.98865
9.98776
9.98872
9.98783
9.98683
9.98690
9.98388 9.98285 9.98178 9.98068 9.97954 9.97836 9.97715 9.97590 9.97461
9.98434 9.98331 9.98224 9.98114 9.98000 9.97882 9.97761 9.97636 9.97507 9.97375
9.98568 9.98468 9.98365 9.98258 9.98148 9.98034 9.97916 9.97795 9.97670
9.98587 9.98487 9.98384 9.98277 9.98167 9.98053 9.97935 9.97814 9.97689
***** IIIIJ ZINNU 8828* ***** CHUNG THUG IN ONE CHENE CONG CHANG MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-

63355°-17—————11

RULE.-Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 45 3 00
Hour
9.80315 Declination.
Angle44
.
9.79543
Hour
9.80498
9.76173 40
9. .
76356
26° 00'
19° 30'
9.76709 9.76535
25° 30'
25° 00'
20° 00'
9.77596 9.77422
9.78453 9.78279
9.79280 9.79106
9.80079 9.79905
9.80851 9.80677
20° 9.81022
30'
9.80250
]
'
9. 79451
30'
24° 00'
21° 009.79618
2421° 30'
9.78624
9.77767
23° 00'
9.78097 9.77934
9.78954 9.78791
9.79781
9.80739 9.80580
9.80417
9.81817 9.81666
9.81964
9.82108
9.82248
9.82384
о
h.m.
h.m.
SONG 9.80894
9.81045 9. 79113
9.79940
01230
0 00
0 0 00
0123
∞
32222 01
9.80095
9.79268
19552
9.78256
8. 19735
8. 21621
8. 8. 8. 21485
78411
21345
9. 9.76880
8. 19914
8. 20088
8. 21201
9.77210 8.20259
OS
8.20589
9.77047
8.20903
8. 20426
9.77369
8.20748
9.77524
9.81192
9.77822 S. 51717
8. 9.81336
9.81476
S. 51581
12
9.81612
9.80537
9.80677
9.80813
8.51441
9.79710
8.51297
9. 79850
21051
8.51150
8.50355
9.79986
8.50999
9.78853
8.50685
9.78993
9.79129
8.50181
08
16
8.50811
8.49831
9.77966
8.50522
8. 8.50010
9.78106
9.78242
242334
00❘ 45
3 40 40
&*£38
56
JOCON∞ 52
48
41
49648
8.67246
8.69315
39
8.67429
8.69039
9.75253
69179
8.67608
9.75436
S. 8.67782
9.75789 9.75615
8.68895
9.75960
24 6
8.67953
8.68597
38
8.68120
8.68283
8.68748
8.68412
9.74300
9.74483
9.74662
9.74836
9.75007
37
73312
28
9. 73495
9. 9.73674
9. 73848
8.79724
9. 74019
4
8.79907
S. $1793
9.76290 9.76127
8. 81657
9.74349 8.81517
9.76449
8.80260
8.80431
9.76604
8. 9.76902 81373
8.80598
8. 80086
8. 80920
8.81075
8.81226
9.76755
9.75496
9. 75651
8.80761
9.75802
9.75949
9.76093
77046
77186
9. 9.76233
9. 76369
9.77322
5678 8.89396
20 36 39
8.89579
S. 91465
9
o
36 8.91329
9.74508
9.74663
5
8.91045
8.91189
8.89758 9.74814
8.90103
9. 8.90898 74961
9.75105
8.90270
8.90747
8.89932
8.90592
75245
8.90433
9. 9.75381
•36
-10 10
9.72288
21923
72471
9. 9.72650
8.97289
9.71225 8.97472
S. 99358
35
8.97825
8.99222
9.71408
9.71587
8.98938
8.99082
8.97651
9.71761
8.98485
9.72824
8.98640
The 8.98791
8.97996
9.72995
9.71932
8.98326
9.73162
8.98163
9.72099
9. 73325
9.72262
9.73484
9.73639
9.73790
9.73937
9.03955
9.04138
9.06024
48 12
7
74081
9. 9.05888
9.74221
9.05748
9.74357
9.04317
9.05457
9. 72421
01491
9.05306
9.72576
9. 9.05604
9.04829
9.01992
9.72727 9.05151
9.72874
9. 73018
9. 04662
9.73158
9.73294
1800
32 38
37
9.09722
S
28 9.09905
10258
9. 11791
36
24 11224
11371
11515
9. 10084
11655
20❘ 35
31
9. 9.70122
9.70305
TABLE 9. 9.68977 9. 33
9. 9.69160
9. 10429
81329
10596
9.67787 9.11073
9. 9. 10918
32
9. 10759
9. 9.67970
04 16
31
9.66550
9.66733
2.00
9.65263 30 65446
9. 9.70484
9.65970 9.65799 9. 9
70014
9.71159
9.71318
08 17
9. 14799
σ
9. 14982
9. 70173
9. 16732
9.66137
9.15335
9.16592
9.68661
16301
9. 9.68983
16868
9.69138
9.15506
16418
15161
9.66459 9. 9. 9.66300
9.67746
29
9.63923 9.64106
9. 16150
9.64285
9.15995
9. 15673
15836
9.64459
9. 9. 28
9.62527
9.62710
9.62889
9.63063
9.64630
9.63234
9.64797
9. 63401
9.64960
9.63723 10
9.67901
PERRE
9.64029 9.71473
20
9. 19333
9.66912
19516
9.21402
9. 2V.
9.21266
71915
9. 9.21126
9.72055
20040
9.72191
9. 19869
9. 20835
9. 20982
34
9. 19695
9.20207
16 9. 20681
11
9. 9.20370
9.20529
9.70770
9.70910
9.71046
28
9.25495
9.69580
9.69720
9.69856
9.25075
9.25359
9.68343
9.68483
+223
9.25219
9.68619
9.67056
9.67196
9.23426
9.67332
9.23609
9.24928
9.24622
11
9.24777
9.65572
9.23962
9.65716
9.65856
9.24133
9.65992
9. 52 13
9.24300
24463
64176
9.23788
9.64320
9. 9.64460
9.64596
27
9.61071
9.61254
9.61433
9.61607
9. 61778
9.61945
12
56 9.27154
14
9.29223
9.62720
GEONS
9.62864
9.27337
9.27690
9.28803
9.28947
Finding of the Azimuth.
9.29087
9.63001
9.63140
44
26
9.27861
9.28656
9.27516
9.28191
9.59550
9.23505
9.28028
BOARD
9. 28350
9.59733
9.59912
9.60086 9.60257
9.60121
9.60746 9.60587
25
9.57961
13
9.30575
9.58144
9.30758
9.32508
9.32611
9.58323
9. 9.31282
58497
9.32368
9.30937
9.58668
9.32077
9. 31111
9.32224
9.31612
9.58835
9.31771
9.31926
9.59157 9.58998
9.59463 9. 31449
9.59312
9.61199 9.61052 9.60901
9.61343
9.61183
9.61619
9.59610
9.59751
9.59891
9.33734
9.60030
18
9.33917
14
9.35803
23
24
9.35667
9.54554
9.34270
9.34441
9.35527
9.56480
9.56659
9.35383
16 30
9.56833
2 9.35085
9.34096
9.34608
9.35236 9.57004
81829
9.34771
9.34930
9.57171
9.57334
19
9.54737
9.54916
9.55090
9.55261
9.55428
9.55591
22
1 00
9.36666
9.52907 9.52724
15
9.53086
9.36849
9.38735
53260
9.38459
9.38599
9. 9.53431
9.37202
9.53598
9.38315 9.38168 9.38017 9.37028
9.37373
9.37540
9.37862
9.37703
9.53761
21
9.50799
9.50982
9.51161
9.51335
9.51506
9.51673
20
9.48771
9.48954
9.49133
16
9.39400
9.49307
9.41469
9.49645 9.39936
9.41333
9.49478
9.57648 9.57493
9.41049 9.41193
9.39762 9.50122 9.40437
9.57946
9.40596
29.40107
9.58090
9.40274
9.58230
9.58366
9.56203
9.56347
9.56487
9.44029
9.41960
9.56623
9.43893
9.54373
9.43609
9.43753
17
51517
9.42667
9. 9.43462
9.42496
9.42997
9.43156
9.43311
9.54657
9.51793
9.52418
9.42834
****
9.52592
9.52732
9.52868
9.50273
9.44547 9.44364
9.46433
9.50420
9. 44900
9.46157
9.50501
9.50701
46013
9.46297
9.50840
OH≈≈
9.44726
9.45560
18
9. 9.45866
9.45071
*9.45715
2*~2
**
9.45238
9.45401
22233
12 32
08 31
04 56 29
52 28
27
9.46813
48 9.46630
44 26
9.48423
9.48563
25
19
9.48699
9.46992
47166
40 9.48279
21
36 9.47337
9.48132
9. 23
9.47981
21
N88
9.47667
20
9.47826 9.47504
162Angle22° 00' 22° 30'
23° 30'
° 2079 292 800 2200 200G OTONG 2**** 2**1 00 15
00❘ 22223 9.40902 9.40751 9.39583
9.42322 9.42143
9.49967 9.49808
9.52301 9.52150 9.51995 9.51836
9.54226 9.54075 9.53920
9.56056 9.55905 9.55750
9.57799 9.56297 9.62573 9.62422 9.62267 9.62108
9.68199 9.68052
9.69436 9.69289
9.70626 9.70479 9.70328
9.71771 9.71624 9.63878
9.65425 9.65274
9.66765 9.66614
9.63564
9.65119 9.67587 9.67424
9.68824 9.65625
9.67257 9.67086 9.66912
9.68491 9.68323 9.68149
9.69851 9.69684 9.69513 9.69339
9.70996 9.70829 9.70658 9. 9.74186
9.75337 9.75174
9.77675
9.78709 9.78562
9.79566 9.79419
9.80393 9.80246
9.81511 9.81352 9.81189
9.77243 9.77060 41
9.78100 9.77917 42
9.78927 9.78744 43
9.79726


Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
Angle.
23° 00' 23° 30' 24° 00'
6 00
24° 30' 25° 00' 25° 30' 26° 00'
90
87
h.m.
O
CING 12
08
9.81352 9.81189
04
9.81022
5 00
9.80851
40
9.82096 9.81933
9.80677
32
9.81766
9.80498 9.80315
28
20
45 3 00
9.81595
08
9.81421
4.00
58
9.82816 9.82653
57
9.82486
56
9.82315
46
9.82141
53
47
52
51
OANCH BONKA OUNI* 58NXO AHN27 22N22 87*** *85:::
89
9.83510 9.83347
88
9.83180
9.95366
9.83009 9.82835
9.95340
9.84181 9.84018
9.82656
86
The 9.82473
9.83851
9.95200
9.83680
48
TABLE 9.95260
9.95306
84
9.83506
83
9.83327
82
9.83144
9.95310 9.95127
9.94941
9.95124
49
V.
81
9.84987 9.84828 9.84665 9.84498
80
9.84327 9.84153
9.94828
9.83974
9.94701
9.83791 9.95011
50
9. 94884
9.95063
9.87358 9.87199 9.87036 9.86869
Finding of the Azimuth.
9. 97015 9.96868 9.96717 9.96562 9.96403 9.96240 9.96073 9.95902 9.95728 9.95549
9.96350 9.96203 9.96052 9.95897 9.95738 9.95575 9.95408 9.95237
9.86524
9.85601
79
9.88351 9.88204 9.88053 9.87898 9.87739 9.87576 9.87409
78
9.94589 9.94406
54
9.94744 9.94561
9.94768
77
9.94238
9.94421
9.94600
76
59
9.91391
9.94056
60
9.91769
9.91228
9.94239
9.94418
9.91606
9.93860 9.91439
61
75
9.94043
62
9.94222
74
73
9.84599 9.84416
9.85202 9.85019
9.85784
9.86345
9.87238 9.87064 9.86885 9.86702 55
9.87759 9.87585 9.87406 9.87223
9.88261 9.88087 9.87908 9.87725
9.88744 9.88570 9.88391
9.88208
9.89209 9.89035 9.88856 9.88673
9.89119
9.89548
9.89959
9.90354 63
9.90732
9.91094
9.91439 66
9.91769
9.92083
9.93650
9.93426
9.93187
64
71
65
70
9.92933
[9.92665
67
9.92381 69 36
GENOO
68
9.88872 9.88725 9.88574 9.88419 9.88260 9.88097 9.87930
9.89374 9.89227 9.89076 9.88921 9.88762 9.88599 9.88432
9.89857 9.89710 9.89559 9.89404 9.89245 9.89082 9.88915
9.90322 9.90175 9.90024 9.89869 9.89710 9.89547 9.89380
9.90768 9.90621 9.90470 9.90315 9.90156 9.89993 9.89826 9.89655 9.89481 9.89302
9.91197 9.91050 9.90899 9.90744 9.90585 9.90422 9.90255 9.90084 9.89910 9.89731
9.91608 9.91461 9.91310 9.91155 9.90996 9.90833 9.90666 9.90495 9.90321 9.90142
9.92003 9.91856 9.91705 9.91550
9.91061 9.90890 9.90716 9.90537
9.92381 9.92234 9.92083 9.91928
9.91268 9.91094 9.90915
9.92743 9.925,96 9.92445 9.92290 9.92131 9.91968 9.91801 9.91630 9.91456 9.91277
9.93088 9.92941 9.92790 9.92635 9.92476 9.92313 9.92146 9.91975 9.91801 9.91622
9.93418 9.93271 9.93120 9.92965 9.92806 9.92643 9.92476 9.92305 9.92131 9.91952
9.93732 9.93585 9.93434 9.93279 9.93120 9.92957 9.92790 9.92619 9.92445 9.92266
9.94030 9.93883 9.93732 9.93577 9.93418 9.93255 9.93088 9.92917 9.92743 9.92564
9.94167 9.94016 9.93861 9.93702 9.93539 9.93372 9.93201 9.93027 9.92848
9.94435 9.94284 9.94129 9.93970 9.93807 9.93640 9.93469 9.93295 9.93116
9.94689 9.94538 9.94383 9.94224 9.94061 9.93894 9.93723 9.93549 9.93370
9.94928 9.94777 9.94622 9.94463 9.94300 9.94133 9.93962 9.93788 9.93609
9.95152 9.95001 9.94846 9.94687 9.94524 9.94357 9.94186 9.94012 9.93833
9.95362 9.95211 9.95056 9.94897 9.94734 9.94567 9.94396
9.95705 9.95558 9.95407 9.95252 9.95093 9.94930 9.94763 9.94592
9.95887 9.95740 9.95589 9.95434 9.95275 9.95112 9.94945 9.94774
9.96055 9.95908 9.95757 9.95602 9.95443 9.95280 9.95113 9.94942
9.96210 9.96063 9.95912 9.95757 9.95598 9.95435 9.95268 9.95097 9.94923
Page 163
ว
Hour
Angle.
19° 30'
20° 00'
20° 30'
21° 00'
21° 30' 22° 00' 22° 30'
PRO CAN OFING ON ENG OTONG 2ND h. m.
3.00
MOTOR *** GEING OTONG 22000 GANG TONO 22000 Can
о
45
9.82384
9.82248
9.82108
12 48
16 49
28 52
32 53
56
4 00 60
08
12
16
24
28
32
36
40 70
52 73
5 00❘ 75
04
12 78
16
83
85
86
87
88
89
6 00 90
8***** ***** IIIIZ ZZZZY 8828* ***** ***** ****8 664-
9.83128
9.82992
9.82852
9.81964 9.81817
9.82708 9.82561
47
9.83848
9.83712
9.83572
9.84542
9.84406
9.84266
9.85213
9.85077
9.84937
9.81666
9.82410
9.83428 9.83281 9.83130
9.84122 9.83975 9.83824 9.83669
9.84793 9.84646 9.84495 9.84340
9.81511
9.82255
9.82975
9.81242 9.81059
9.81962 9.81779 50
9.85860
9.85724
9.85584
51
9.86485
9.86349
9.86209
9.87088
9.86952
9.86812
9.87670
9.87534
9.87394
54
9.88231
9.88095
9.87955
9.85440 9.85293 9.85142
9.86065 9.85918 9.85767
9.86668 9.86521 9.86370
9.87250 9.87103 9.86952
9.87811 9.87664 9.87513
9.85612 9.85453 9.85290 9.85123
9.86215 9.86056 9.85893 9.85726
9.86797 9.86638 9.86475 9.86308
9.84952 9.84778
9.85555 9.85381
9.86137 9.85963
9.86698 9.88771
9.88635
9.88495
9.89292
9.89156
9.89016
57
9.89794
9.89658
9.89518
9.90277
9.90141
9.90001
9.90742
9.90606
9.90466
9.91188
9.91052
9.90912
9.91617
9.91481
9.91341
9.92028
9.91892
9.91752
9.92423
9.92287
9.92147
9.92801
9.92665
9.92525
65
9.93163
9.93027
9.92887
9.93508
9.93372
9.93232
9.93838
9.93702
9.93562
9.94152
9.94016
9.93876
9. 94450
9.94314
9.94174
9.94734
9.94598
9.94458
9.94314
9.95002
9.94866
9.94726
72
9.95256
9.95120
9.94980
9.94582
9.94836
9.95495
9.95359
9.95219
9.95075
9.95719
9.95583
9.95443
9.95299
9.95929
9.95793
9.95653
9.95509
9.96125
9.95989
9.95849
9.96307
9.96171
9.96031
9.96475
9.96339
9.96199
9.96630
9.96494
9.96354
9.86162 9.96770
9.96634
9.96494
9.96897
9.96761
9.96621
9.97010
9.96874
9.96734
9.97110
9.96974
9.96834
9.97196
9.97060
9.96920
9.97269
9.97133
9.96993
9.97329
9.97193
9.97053
9.97375
9.97239
9.97099
9.97409
9.97273
9.97133
9.97428
9.97435
9.97292
9.97299
9.97152
9.97159
9.96477 9.96330 9.96179 9.96024 9.95865 9.95702 9.95535 9.95364 9.95190
9.96590 9.96443 9.96292 9.96137 9.95978 9.95815 9.95648 9.95477 9.95303
9.96690 9.96543 9.96392 9.96237 9.96078 9.95915 9.95748 9.95577 9.95403
9.96776 9.96629 9.96478 9.96323 9.96164 9.96001 9.95834 9.95663 9.95489
9.96849 9.96702 9.96551 9.96396 9.96237 9.96074 9.95907 9.95736 9.95562 9.95383
9.96909 9.96762 9.96611 9.96456 9.96297 9.96134 9.95967 9.95796 9.95622 9.95443
9.96955 9.96808 9.96657 9.96502 9.96343 9.96180 9.96013 9.95842 9.95668 9.95489
9.96989 9.96842 9.96691 9.96536 9.96377 9.96214 9.96047 9.95876 9.95702 9.95523
9.97008 9.96861 9.96710 9.96555 9.96396 9.96233 9.96066 9.95895 9.95721 9.95542
9.95224 9.95041
9. 95359
MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-


RULE.-Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page PERRE Hour
Angle.
BOND 222** *2222 222☹* 20500 27***
Declination.
CONCE
THE Hour
Angle.
The 32° 30'
32° 00'
31° 30'
31° 00'
30° 30'
00'
Finding of the Azimuth.
29° 00'
28° 30'
28° 00'
]
27° 30'
26° 30'
26° 00
30° V.
TABLE 3 00
45
9.77552
9.77791
9.78026
9.78256
9.78481
9.78702
44
43
9.76780
h• 9.75981
O
hm.
9.77019
9.77254
m.
9.77484
O1234
£9.77709
-8
-∞
0 00
0 00
01234
9.77930
9.76220
9.76455
9.76685
8.16789
8. 17028
8.17263
8.17493
8.17718
17939
8.18156
9.76910
8.18576
8.18779
8.18979
19174
19365
9.77131
8. 19552
8. 8. 8. 9.75154 42
9.75393
9.75628
9.76083 9.75858
9. 76304
41
40
9.73410
9.74297
9.73649
9.74536
9.74771
8.48252
8.48672
8.48875
8.49075
8.49270
8.49648
9.75001
8.49461
8.47589 8.47359
8.47814
9.75226
8.48035
8.46885
8.47124
9.75447
9.75664
9.73884
9.74114
9.74339
9.74560
9.74777
9.78919
9.79339 9.79131
9.75197 9.74989
9.79542
9.79742
9.75400
9.79937
8.64483
8.64722
8.64957
8.65187
8.65412
8.65633
8.65850
8.66062
8.66473
9.80128
8.66673
8.66868
8.67246
8.66270
8.67059
9.80315
45
9.79165
9.79356
9.79543
44
9.78366
9.78557
9.78744
43
9.77539
9.77730
9.77917
8.76961
8.77200
8.77435
8.77665
8.77890
8.78111
8.78328
8.78540
8.78748
8.78951
8.79151
8.79346
79537
8.79724
42
9.76682
8. 9.76873
9.77060
41
9.75600
9.75795
9.75986
9.76173
40
***N88
GERIR
3 00
39
38
37
36
35
34
or
33
8.86633
8.86872
8.87107
8.87337
8.87562
8.87783
8.88000
8.88212
8.88623
5
8.88823
8.89018
8.89396
PERRE
8.88420
5
8.89209
6749σ
32
2.00
30
9.62974 9.62739 9.62500
9.64026 9.63787
9.64261
9.65263 9.65024
9.66453 9.66214
9.67598 9.67359
9.68462
9.69525
9.70549
9.71537
9.72490
9.72964 9.72729
9.68936 9.68701
9.73194
9.73419
9.73640
9.74069 9.73857
9.72241
9.72466
9.72687
9.73116 9.72904
6869 8.94526
8.94765
8.95000
8.95230
8.95455
8.95893
9.71253
8.96105
8.96313
8.96716 8.96516
8.96911
8.97102
8.97289
8.95676
9.71478
9.71699
9.71916
9.72128
9.72336
9.72539
9.74680 9.74480
9.74875
9.75066
9.75253
52
39
9.01666
9.01896
9.02121
9.02342
9.02559
9.02771
9.03182 9.02979
9.03382
9.03577
9.03768
9.03955
9.73922
9.74113
9.74300
32 38
7
9.72739
9.72934
9.73125
9.73312
37
9.70229
9.07433
9.07663
9.07888
9.08109
9.08326
9.08538
9.08746
BO700
9.08949
9.09149
1 00
9.09344
9.09535
9.09722
88899
8
9.70454
9.70675
9.70892
9.71104
9.71312
9.71515
9.71715
9.71910
9.72101
9.72288
36
9.69166
9.14026
9.14226
9.14421
9.14612
9.14799
9.69391
9.12510
9.12740
9.12965
9.13186
9.13615 9.13403
9.13823
9.12275
9.12036
9.69612
9.69829
9.70041
9.70249
9.70452
9.70652
9.70847
9.71038
9.71225
35
20 9.67833
9.68063
9.68288
9.68509
12
9.68726
9.68938
10
9.16570
9.16809
9.17044
9.17274
9.17499
9.17720
9.17937
9.18357 9.18149
9.18560
9.18760
9.18955
9.19146
9.69146
9.19333
10
9.69349
9.69549
9.69744
9.69935
9.70122
16 34
9.66688
9.66918
9.67143
9.67364
9.67581
9.68001 9.67793
9.68204
9.68404
9.22450
9.23048
2229.68599
29.23239
9.23426
11
9.22853
9.20663 11
9.20902
9.21367
9.68790
9.21592
9.21137
9.22030
9.68977
****
9.22242
9.21813
33
9.65498
9.65728
9.65953
9.66174
9.66391
9.66603
9.66811
9.67014
9.67214
***
9.67409
9.67600
9.67787
9.24630
9.24865
9.25095
9.25320
9.25541
9.25758
9.25970
9.26178
9.26381
9.26776
12
9.26967
9.27154
12
9.26581
32
9.64491
9.64716
9.64937
9.65154
9.65366
9.65574
9.65777
9.65977
9.66172
9.66363
9.66550
31
9.28051
9.28283
9.28516
9.28741
9.29179
9.63429 9.63204
9.29391
9.29599
9.29802
9.30002
9.30388
*****
G9.28962
9.30575
13
9.30197
9.63650
9.63867
9.64079
9.64287
9.64490
9.64690
9.64885
9.65076
9.65263
30
2 00
29
28
9.59764
9.61160
9.31210
9.31445
9.31675
9.31900
9.32121
9.32338
9.32961 9.32758 9.32550
9.33161
9.33356
9.33547
9.33734
14
27
26
25
9.55437 9.61864
9.61399
9.62089
9.62310
9.62527
9.62739
9.62947
9.63150
9.63350
9.63545
9.63736
9.34142
9.34377
9.34607
9.34832
1 9.35053
9.35270
**N*
9.35482
9.35690
9.35893
9.36093
9.36288
9.63923
9.36479
9.36666
00
29
9.60693
9.60914
9.61131
9.61343
9.61551
2709.61754
89.61954
9.62149
9.62340
9.62527
52 28
9.59237
9.59675 9.59458
9.59887
9.39022
9.39213
9.39400
04 16
9.38827 9.38627 9.38424
9.24391
9.27812 13
14
9.30971
9.33903 15
9.36637
9.36876
9.37111
9.37341
9.37566
9.37787
9.38004
9.38216
9.60095
9.60298
9.60498
16
9.60693
9.60884
9.61071
27
9.57716
9.57937
9.58154
9.58366
9.58574
9.58977 9.58777
9.59172
9.59363
9.59550
26
9.39197
**29
9.39436
**
9.39671
9.39901
9.40126
9.40347
9.40564
9.40776
9.40984
9.41187
9.41387
9.41582
9.41773
17
9.55672
08 | 9.41960
9.55902
9.56348 9.56127
9.56565
9.56777
9.56985
9.57188
9.57388
9.57583
9.57774
9.57961
25
100
23
9.53534
9.49961
9.48036
18
29.41601
9.41840
9.42305 9.42075
9.42530
9.42751
9.42968
9.43180
9.43388
9.43791 9.43591
9.43986
9.44177
9.44364
18
9.48275
9.48510
9.50435 9.50200
9.52030
9.52265
9.53773
****
9.54008
9.54238
9.54463
9.54684
9.54901
9.55113
9.55524 9.55321
9.52495
9.52720
9.52941
9.53158
9.45017
9.45234
9.45446
9.45654
9.46057 9.45857
9.46252
9.46443
9.46630
19
9.53370
9.43867
9.44106
9.44341
9.44571
9.53578
20
9.46008
9.46247
9.46482
9.46712
9.46937
9.50665
9.51111
9.51328
9.51748 9.51540
9.49186
9.49403
9.49615 9.47158
9.47375
9.47587
9.47795
9.55724
9.47998
9.55919
9.56110
9.56297
24
9.48198
9.48393
9.48584
9.48771
9.54176
20
9.54367
9.54554
20❘ 32 23
9.52151
9.52346
9.52537
9.52724
22
28 9.50226
9.50421
9.50612
9.50799
16427° 00'
29° 30'
. 8**29 2*22* G**88 8.18368
8.48464 . 9.01192
9.01431
9.07198 9.06959
9.22653 9.44796
9.50026 9.49823
9.51951
9.53981 9.53781
9.48965 9.48740
9.50890 9.51791
9.55198
9.57491
9.50787
9.57261 9.57026
9.58308
9.58782
9.59012
9.58547
9.60238 9.60003
9.60468
9.61634
9.73727 9.73527 9.73324
9.74277
9.69999 9.69764
9.71023 9.70788
9.72011 9.71776
9.76487 9.76287
9.77344 9.77144
9.78171 9.77971
9.78970 9.78770
9.75876
9.76084
9.76941
9.76521
9.76733
9.77768 9.77560 9.77348
9.78359 9.78147
9.78567
RING ON SONG CHANG OFONO OTONG 2000. 

Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
Angle.
28° 30' 29° 00' 29° 30'
75 5 00
31° 00'
4.00
31° 30'
50
32° 00'
51
52
32° 30'
DENOM KONAR SUNMT DON88 A222* PON22 8788* 285828
h.m.
O
9. 79542 9.79339 9.79131 9.78919 9.78702
9.92603 90 6 00
9.78481
9.92842
9.78256
9.92596 89
ONE 9. 78026 9.77791
9.92577
9.77552
87
9.79225
9.92543
86
45 300
9.78770 9.78535
9.79490 9.79255
9.80184
84
83
82
9.78296 46
81
47
9.79949
80
9.79016
9.79710
79
78
9.91798
48
9.91643
9.80855
77
9.80381
9.80620
9.91475
9.91714
49
76
9.81502
9.91293
9.81267
The 9.91097
74
9.81028
73
9.80286 9.80083 9.79875 9.79663 9.79446
9.79000
9.81006 9.80803 9.80595 9.80383 9.80166 9.79945 9.79720
9.81700 9.81497 9.81289 9.81077 9.80860 9.80639 9.80414
9.82371 9.82168 9.81960 9.81748 9.81531 9.81310 9.81085
9.83218 9.83018 9.82815 9.82607 9.82395 9.82178 9.81957 9.81732
9.83843 9.83643 9.83440 9.83232 9.83020 9.82803 9.82582 9.82357
9.84446 9.84246 9.84043 9.83835 9.83623 9.83406 9.83185 9.82960 9.82730
9.85028 9.84828 9.84625 9.84417 9.84205 9.83988 9.83767 9.83542 9.83312
9.85589 9.85389 9.85186 9.84978 9.84766 9.84549 9.84328 9.84103 9.83873
9.86129 9.85929 9.85726 9.85518 9.85306 9.85089
9.86650 9.86450 9.86247 9.86039 9.85827 9.85610
9.87152 9.86952 9.86749 9.86541 9.86329 9.86112
9.87635 9.87435 9.87232 9.87024 9.86812 9.86595
9.88100 9.87900 9.87697 9.87489 9.87277 9.87060
72
9.81892
9.82127
TABLE 9.90424
9.90663
9.90887
9.81653
71
9.82495
9.90170 9.82256
70
9.89902
9.83077
9.89618 69
9.82838 53
9.89857
9.83399 9.83638
68
54
67
9.89006
9.84868
9.84643 9.84413
9.89320
9.89559
V.
9.84178
9.89245
9.83939 9.89480
55
9.88676 66
9.85389
9.88915
9.84460 9.89150
9.89380
Finding of the Azimuth.
57
58
9.89605 65
9.88331 9.85910 59
9.88570
9.86356 9.89035 9.88805
60
9.89260
9.86785 61
9.89481
9.87969 64
9.87196 9.88208
62
9.88898
9.87591 63
9.89119
9.94793 9.94593 9.94390 9.94182 9.93970 9.94753 9.93532 9.93307 9.93077
ONG GIANG SONG 2**NO ANG ATING 2**** G**888
[Page 165
Hour
Angle.
26° 00'
26° 30'
27° 00'
27° 30′
28° 00'
30° 00'
30° 30'
h.m.
O
3 00
48
52
08
TONG HONO CON SONG 2000 GONG SONG 2**** O*N8
08
12
16
20 50
24
28
4 00 60
08
28
32 68
72
56 74
5 00 75
76
77
12 78
79
28 82
32 83
36 84
85
86
87
88
56 89
6 00 90
****** ***** IIIJA ZINNY 8828* 2002: gogoa fango AARAA
45
9.80315
9.80128
9.79937
9.79742
46
9.81059
9.80872
9.80681
9.80486
47
9.81779
9.81592
9.81401
9.81206
48
9.82473
9.82286
9.82095
49
9.83144
9.82957
9.82766
9.81900
9.82571
9.83791
9.83604
9.83413
9.84416
9.84229
9.84038
9.85019
9.84832
9.84641
53
9.85601
9.85414
9.85223
54
9.86162
9.85975
9.85784
9.86702
9.86515
9.86324
56
9.87223
9.87036
9.86845
9.87725
9.87538
9.87347
9.88208
9.88021
9.87830
9.88673
9.88486
9.88295
9.89119
9.88932
9.88741
61
9.89548
9.89361
9.89170
62
9.89959
9.89772
9.89581
63
9.90354
9.90167
9.89976
64
9.90732
9.90545
9.90354
9.88546 9.88346 9.88143
9.88975 9.88775 9.88572
9.89386 9.89186 9.88983 9.88775
9.89781 9.89581 9.89378 9.89170
9.90159 9.89959 9.89756 9.89548
9.87935
9.88364
65
9.91094
9.90907
9.90716
66
9.91439
9.91252
9.91061
67
9.91769
9.91582
9.91391
9.92083
9.91896
9.91705
9.91510
69
9.92381
9.92194
9.92003
9.91808
70
9.92665
9.92478
9.92092
9.91481
9.92933
9.92748
9.92555
9.93187
9.93000
9.92809
9.93426
9.93239
9.93048
9.93650
9.93463
9.93272
9.93860
9.93673
9.93482
9.94056
9.93869
9.93678
9.94238
9.94051
9.93860
9.94406
9.94219
9.94028
9.94561
9.94374
9.94183
9.94701
9.94514
9.94323
9.94828
9.94641
9.94450
9.94941
9.94754
9.94563
9.95041
9.94854
9.94663
9.95127
9.94940
9.94749
9.95200
9.95013
9.94822
9.95260
9.95073
9.94882
9.95306
9.95119
9.94928
9.95340
9.95153
9.94962
9.95359
9.95366
9.95172
9.95179
9.94981
9.94988
9.85164 9.84934 9.84699
9.85891 9.85666 9.85436 9.85201
9.86374 9.86149 9.85919 9.85684
9.86839 9.86614 9.86384 9.86149
9.87723 9.87506 9.87285 9.87060 9.86830 9.86595
9.88152 9.87935 9.87714 9.87489 9.87259 9.87024
9.88563 9.88346 9.88125 9.87900 9.87670 9.87435
9.88958 9.88741 9.88520 9.88295 9.88065 9.87830
9.89336
9.88673 9.88443
9.90521 9.90321 9.90118 9.89910 9.89698
9.90866 9.90666 9.90463 9.90255 9.90043 9.89826
9.91196 9.90996 9.90793 9.90585 9.90373 9.90156 9.89935 9.89710
9.91310 9.91107 9.90899 9.90687 9.90470 9.90249 9.90024 9.89794
9.91608 9.91405 9.91197 9.90985 9.90768 9.90547 9.90322 9.90092
9.92092 9.91892 9.91689
9.91269 9.91052 9.90831 9.90606 9.90376 9.90141
9.92360 9.92160 9.91957 9.91749 9.91537 9.91320 9.91099 9.90874 9.90644 9.90409
9.92614 9.92414 9.92211 9.92003 9.91791 9.91574 9.91353 9.91128 9.90898 9.90663
9.92853 9.92653 9.92450 9.92242 9.92030 9.91813 9.91592 9.91367 9.91137 9.90902
9.93077 9.92877 9.92674 9.92466 9.92254 9.92037 9.91816 9.91591 9.91361 9.91126
9.93287 9.93087 9.92884 9.92676 9.92464 9.92247 9.92026 9.91801 9.91571 9.91336
9.93483 9.93283 9.93080 9.92872 9.92660 9.92443 9.92222 9.91997 9.91767 9.91532
9.93665 9.93465 9.93262 9.93054 9.92842 9.92625 9.92404 9.92179 9.91949
9.93833 9.93633 9.93430 9.93222 9.93010 9.92793 9.92572 9.92347 9.92117 9.91882
9.93988 9.93788 9.93585 9.93377 9.93165 9.92948 9.92727 9.92502 9.92272 9.92037
9.94128 9.93928 9.93725 9.93517 9.93305 9.93088 9.92867 9.92642 9.92412 9.92177 9.91938
9.94255 9.94055 9.93852 9.93644 9.93432 9.93215 9.92994 9.92769 9.92539 9.92301 9.92065
9.94368 9.94168 9.93965 9.93757 9.93545 9.93328 9.93107 9.92882 9.92652 9.92417 9.92178
9.94468 9.94268 9.94065 9.93857 9.93645 9.93428 9.93207 9.92982 9.92752 9.92517 9.92278
9.94554 9.94354 9.94151 9.93943 9.93731 9.93514 9.93293 9.93068 9.92838 9.92603 9.92364
9.94627 9.94427 9.94224 9.94016 9.93804 9.93587 9.93366 9.93141 9.92911 9.92676 9.92437
9.94687 9.94487 9.94284 9.94076 9.93864 9.93647 9.93426 9.93201 9.92971 9.92736 9.92497
9.94733 9.94533 9.94330 9.94122 9.93910 9.93693 9.93472 9.93247 9.93017 9.92782
9.94767 9.94567 9.94364 9.94156 9.93944 9.93727 9.93506 9.93281 9.93051 9.92816
9.94786 9.94586 9.94383 9.94175 9.93963 9.93746 9.93525 9.93300 9.93070 9.92835
56
9.84962
9.85445 MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-

RULE. Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 45 3 00
GEIGE
Declination.
PERRE Hour
808 Hour
Angle.
2**** **NG SONG 2**** ***NG ITONG 22000 *28
The Angle.
Finding of the Azimuth.
32° 30'
TABLE 33° 00'
V.
33° 3044
'
9.73999
166]
34° 00'
9.73227
38° 00' 34° 30
52
37° 30'
35° 43
37° 00'
30'
° 00' 36° 30'
35° 9.72428
00'
48
3642
9.71601
9.71905
44
41
40 40
9.69857
h.m.
9.70744
• 9.71048
• 28129 0 00 9.70161
0
h. mO1234
9.71347
9.70460
9.71325
9. 72212
9.72664 9.72406 O1234
∞
S. 16789
.
0 00
8.16545
9.77060
9.77308
8.16297
9.77552
9.76288
8.16043
8.13236
9.76536
8.15785 9.76780
8.13540 8.15522
8.13839
8.15255
01
8.14982
9.75489
8.14704 8.46885
9.75737
8.46393
8.46641
9.75981
9.74662
8.46139
9.74910
9.75154
9.73805
8.45881
9.74053
8.43935
8.64483
8.45618
8.14133
8.44229
8.45351
9.74297
8.45078
9.72918
8.44517
9.73166
8.43636 9.73410
36
35
34
33
31
9.60837
8.64239
2 00
8.63991
30 8.61533
8.63479
9.59550
8.63737
8.61827
9.59844
8.63216
29
8.62949
9.57911
8.62676
28
8.62398 S. 76961
9.56211
8.76717
9.56515
8.76469
9.57108 9.56814
9.58504 9.58210
8.76215
9.71744 9.71486 9.71223 9.70956 9.70683 9.70405 9.70122 9.69834 9.69540 9.69241 9.68937 39
8.75957
9.57607
9.71998
8.73408
8.75427
8.75694
9.72246
8.74011
8.74593
8.75154
8.74305
9.72490
9.71045
9.71293
9.71537
38
9.70057
9.70305
9.70549
36
6699σI
9.69033
8.86633
9.69281
8.86389
9.69525
36
8.83384 8.85887 8.86141
9.67970
8.85629
467∞ 9.68218
8.84826 9.68462
8.85366
PEDRO 8.83683
8.85099
9.66867
8.94526
9.67115
8.94034
8.94282
9.67359
34
8.93780 9.65722
9.65970
9.66214
9.64532
8.93522
8.91576
8.91277
8.92992
8.93259
9.64780
8.91870
9.65024
9.01192
8
8.90973
9.00948
8.92158
9.00700
9.63295
9.63543
9.63787
9.00188
9.62008
9.62256
9.00446
8.99925
9.62500
27
9.54755
9.55059
8.99107
9.55358
8.97943 8.97639
9.06959
9.55652 9.06715
98242
9.06467
9.55940
26
9.06213 8.98536
9.53234
8. 8.98824
1 00 9.05692
15
9.53538
28
9.53837
9.04874
9.54131 9.12036
9.05152
9.11792
25
01
9.51645
9.11544
9.51949
9.05955
9.11290 9.11032
9.52248
24
9.49981
9.10769
9.50285
9.03710 9.03406
9.04009
9.50584
23
9.04591
9.48238
8
9.10229
8.84548 8.84265 8.83977
8.92719 8.92441
8.99658 8.99385
9.05425
9.10502
9.04303
9.48542
9.48841
9.46408
32
9.46712
21
20
9.08483
9.42455
9.44483
16
9.09086
19
9.09380
9.09951 9.09668
12
18
17
15 1 00
9.40314
∞
9.30350
9
9.58792
9.33157 9.32899 36
9.60156
9.60414
9.60668
9.60916
9.61160
9.58760
9.59018
9.59272
9.16570
9.59520
9.59764
9.16326
9.57304
9.16078
9.57562
9.15824 9.57816
9.58064
9.15036 9.58308
9.13017 9.13914
9.54452 9.54194
9.55783
9.13321
40
9.20663
9.14485 9.14202
9.20419
9.14763
9.20171
9.13620
9.56041
10
9.56295
9.56543
9.56787
26
44 9.54706
9.23899
9.24147
9.24391
9.54954
9.55198
9.17110 11
9.19129 9.18856
25
9.18007
40 9.18578 9.17414
9.18295
9.27812
9.53042
9.27568
9.17713
9.27320
00
2 9.53290
9.53534
24
9.51299
9.51547
9.51791
9.49469
9.49717
9.21735
9.30971
9.49961
9.30727
9.21142
9.30479
32
9.47544
9.22306
9.22584
9.29437
9.21441
9.20838 12
9.22023
9.47792
9.48036
9.45516
9.45764
9.46008
9.43375
9.43623
9.24862
9.26005
9.43867
9.41109
9.41357
9.25156
9.25444
9.25727
9.24563
13
9.41601
9.38705
28
9.38953
9.39197
17
52
9.36145
9.29164
9.36393
9.36637
9.28021
40
9.28315
9.28886
9.33411
9.33659
9.33903
9.28603
9.27722
9.24259
9.27418 14
****
3 44
00
56
52
48
38° 30' 39° 00'
2*228 9448K STONO 2*20* ***NG STONE 2**RO799 22222 22222 22200 10708 GE8.14421
8.44800 8.62115
8.74876 8.43332
8.61234 8.60930
8.73712 8.83080
9.08787 9.15566 9.15303
9.19917 9.19659 9.19396
9.23645 9.23387 9.23124 9.22857
9.27066 9.26808 9.26545 9.26278
9.30225 9.29967 9.29704 9.32636 9.32369 9.32096 9.31818 9.31535 9.31247 9.30953 9.30654
9.35891 9.35633 9.35370 9.35103 9.34830 9.34552 9.34269 9.33981 9.33687 9.33388
9.38451 9.38193 9.37930 9.37663 9.37390 9.37112 9.36829 9.36541 9.36247 9.35948
9.40855 9.40597 9.40334 9.40067 9.39794 9.39516 9.39233 9.38945 9.38651 9.38352
9.43121 9.42863 9.42600 9.42333 9.42060 9.41782 9.41499 9.41211 9.40917 9.40618
9.45262 9.45004 9.44741 9.44474 9.44201 9.43923 9.43640 9.43352 9.43058 9.42759
9.47290 9.47032 9.46769 9.46502 9.46229 9.45951 9.45668 9.45380 9.45086 9.44787
9.49215 9.48957 9.48694 9.48427 9.48154 9.47876 9.47593 9.47305 9.47011
9.51045 9.50787 9.50524 9.50257 9.49984 9.49706 9.49423 9.49135
9.52788 9.52530 9.52267 9.52000 9.51727 9.51449 9.51166 9.50878
9.53931 9.53664 9.53391 9.53113 9.52830 9.52542
9.55520 9.55253 9.54980 9.54702 9.54419
9.57041 9.56774 9.56501 9.56223
9.58497 9.58230 9.57957 9.57679 9.57396
9.59893 9.59626 9.59353 9.59075 9.33084 16
9.35644
9.38048
9.61754 9.61496 9.61233 9.60966 9.60693 9.60415 9.60132
9.59251 9.58947
9.63041 9.62783 9.62520 9.62253 9.61980 9.61702 9.61419 9.61131
9.60538 9.60234
9.64278 9.64020 9.63757 9.63490 9.63217 9.62939 9.62656 9.62368 9.62074 9.61775 9.61471 32
9.65468 9.65210 9.64947 9.64680 9.64407 9.64129 9.63846 9.63558 9.63264 9.62965 9.62661
9.66613 9.66355 9.66092 9.65825 9.65552 9.65274 9.64991 9.64703 9.64409 9.64110 9.63806
9.67716 9.67458 9.67195 9.66928 9.66655 9.66377 9, 66094 9.65806 9.65512 9.65213 9.64909
9.68779 9.68521 9.68258 9.67991 9.67718 9.67440 9.67157 9.66869 9.66575 9.66276 9.65972
9.69803 9.69545 9.69282 9.69015 9.68742 9.68464 9.68181 9.67893 9.67599 9.67300 9.66996 37
9.70791 9.70533 9.70270 9.70003 9.69730 9.69452 9.69169 9.68881 9.68587 9.68288 9.67984 38
9.72143 9.71876 9.71603
9.71042 9.70754
9.73551 9.73293 9.73030 9.72763 9.72490
9.71929 9.71641
9.74408 9.74150 9.73887 9.73620 9.73347 9.73069 9.72786 9.72498 9.72204
9.75235 9.74977 9.74714 9.74447 9.74174 9.73896 9.73613 9.73325 9.73031 9.72732
9.76034 9.75776 9.75513 9.75246 9.74973 9.74695 9.74412 9.74124 9.73830 9.73531
9.76806 9.76548 9.76285 9.76018 9.75745 9.75467 9.75184 9.74896 9.74602 9.74303
BOND 22222 22202 8000 1000 



Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical be
may
found from the diagram facing page 155.
Hour
Angle.
36° 00167
'
'
[Page 6
36° 3056
37° 00'
52
37° 30' 38° 0040
38° '
32
16
30'
12
39° 00'
08
56
h. 48
m.
O
9.76018 9.75745 9.75467
11
9. 75184
24
9.74896
SOTONG 9.74602
16
9.74303
12
9.73999
08
0-1
9.75928
4 00
9.75640
10
9.75346
45 3 00
9. 75047
32
29700 9.74743
28
9.76648
24
9. 76360
20
9.76066
12
9.75767
46
9.75463
885888
04
90088
9.89947 9.89653 9.89354 9.89050 90
9.90518 9.90235 9.89013 89
9.89024
47
9.89347
9.89328
08
9.88990 87 48
9.89294
9.77903 9.77625
86 41
9.77342
84 36
9. 77054
9.88811
9.76760
9.88881
9.88944
9.76461
9.78574 9.78296 9.78013
9. 89188
9. 76157
9.89248
48
9.89940 9.89646
9.90352 9.90069 9.89781 9.89487
9.90796
9.77725
9.90789
9.77431
9. 90736
9.77132
9.90770
9.76828
9.90690
49 16
9.90630
9.79761 9.79494 9.79221 9.78943
83
The 9.78660
9.88725
9.78372
82
9.77779
9.78078
9.78997
9.88625
81 24
9.77475 50
80
79
9.78703
78
9.78104
77
76 04
9.78100 51
75 9.81592 9.81314 9.81031
TABLE 00
9.79306
9.88441
9.79007
9.88637
9.78703 52
73 52
72
9.79888
9.86617 71
9.79589
9.86921
9.79285
9.87334
9.88231 9.87937
53
9.80743
9.87474
9.80449
9.87220
9.80150
70 10
9.86349 9.82132 9.81854
9.86653
9.81283
9.81571
51 36
9.86952
V.
9.80989
9.86065 69 36
9.80690
9.86369
9.79846
9.80386 55
9.86668
9.85767 68 32
9.86071
9.86370
9.85-153 67
9.82092
9.85757
9.81804
9.86056
9.81510
9.86350
9. 81211
9.85123 66
9.80907
9.85427
.
9.84103 9.83825
56
9.82877
9.85726
9. 82594
9.84778 65
9.82306
9.85082
9.81713
9.82012
9.85381
9.85675
9.85963
9.83360
9.86797 9.82495
9.83077
57
9.82789
9.90279 9.89996 9.89708 9.89414 9.89115
63
62
9.83542
9.83643
9.83254 9.82960
64
58
9.84720
9.82357 59
9.85019
9.85313
9. 84340
9.84639
9.85610 9.85352 9.85089 9.84822 9.84549 9.84271 9.83988 9.83700 9.83406
9.84933
9.83107
9.83947
9.82803 9.83232 61
60
9.83536
9.85601
Hour
Angle.
32° 30'
$3° 00'
33° 30'
34° 00'
34° 30'
35° 00' 35° 30'
Finding of the Azimuthh. m.
O
EETING
2****
G**NG
80899
2****
***NG
ITONG
2****
****88
3 00 45
20❘ 50
52
4 00 60
20 65
24 66
28
32
36 69
40 70
44 71
48 72
52 73
5 00 75
76
77
78
79
80
81
28 82
32 83
84
86
48❘ 87
89
CONDO ONNXT
885XA
OUNCE
68588
REN** *****
O****
205088
9.77552
9.77308
9.77060
9.76806
46
47
9.78296
9.79016
9.78052
9.77804
9.77550
9.76548
9.77292
9.76285
9.77029
9.78772
9. 78524
9.78270
9. 78012
9.77749
48
9.79710
9.79466
9.79218
9.78964
9.78706
9. 78443
49
9.80381
9.80137
9.79889
9.79635
9.79377
9. 79114
9.76762 9.76489 9.76211
9.77482 9.77209 9.76931
9.78176
9.78847
9.81028
9.80784
9.80536
9.80282
9.80024
51
52
9.81653
9.82256
9.81409
9.81161
9.82012
9.81764
53
9.82838
9.82594
9.82346
54
9.83399
9.83155
9.82907
9.80907 9.80649 9.80386 9.80119 9.79846 9.79568
9.81510 9.81252 9.80989 9.80722 9.80449 9.80171 9.79888 9.79600
9.82092 9.81834 9.81571 9.81304 9.81031 9.80753 9.80470 9.80182
9.82653 9.82395 9.82132 9.81865 9.79285 55
9.83939
9.83695
9.83447
9.83193
9.82935 9.82672
9.82405
56
9.84460
9.84216
9.83968
9. 83714
9.83456 9.83193
9.82926
57
9.84962
9.84718
9.84470
9.84216
9.83958
9.83695 9.83428
9.85445
9.85201
9.84953
9.84699
9. 84441
59
9.85910
9.85666
9.85418
9.85164
9.84906
9.84178
9.84643
9.83911
9.84376
9.82653 9.82375
9.83155
9.83638
9.81409
9.82196 9.81892
9.82661 9.86356
9.86112
9.85864
61
9.86785
9.86541
9.86293
62
9.87196
9.86952
9.86704
63
9.87591
9.87345
9.87097
9.86843
64
9.87969
9.87725
9.87477
9.87223
9.86039 9.85781 9.85518 9.85251 9.84978 9.84700 9.84417 9.84129 9.83835
9.86450 9.86192 9.85929 9.85662 9.85389 9.85111 9.84828 9.84540 9.84246
9.86585 9.86322 9.86055 9.85782 9.85504 9.85221
9.86965 9.86702 9.86435 9.86162 9.85884 9.84038
9.84416 9.88331
9.88087
9.87839
9.87585 9.87327
9.87064
9.88676
9.88432
9.88184
67
9.89006
9.88762
9.88514
9.89320
9.89076
9.88828
9.89618
9.89374
9.89126
9.89902
9.89658
9.89410
9.90170
9.89926
9.89678
9. 90424
9.90180
9.89932
9.90663
9.90419
9.90171
74
9.90887
9.90643
9.90395
9.91097
9.90853
9.90605
9.91292
9.91049
9.90801
9.91475
9.91231
9.90983
9.91643
9.91399
9.91151
9.91798
9. 91554
9.91306
9.91938
9. 91694
9.91446
9.91192
9. 90934
9.90671
9.92065
9. 91821
9.91573
9. 91319
9.91061
9.90798
9.90531
9.92178
9.92278
9.92364
9.91934
9.91686
9.91432
9. 91174
9.90911
9. 90644
9.92034
9.91786
?.91532
9.91274
9.91011
9.90744
9.92120
9.91872
9. 91618
9.91360
9.91097
9.90830
9.86524 9.86246
9.87930 9.87672 9.87409 9.87142 9.86869 9.86591 9.86308 9.86020
9.88260 9.88002 9.87739 9.87472 9.87199 9.86921 9.86638
9.88574 9.88316 9.88053 9.87786 9.87513 9.87235 9.86952 9.86664
9.88872 9.88614 9.88351 9.88084 9. 87811 9.87533 9.87250 9.86962
9.89156 9.88898 9.88635 9.88368 9.88095 9.87817 9.87534 9.87246
9.89424 9.89166 9.88903 9.88636 9.88363 9.88085 9.87802 9.87514
9.89678 9.89420 9.89157 9.88890 9.88617 9.88339 9.88056 9.87768
9.89917 9.89659 9.89396 9.89129 9.88856 9.88578 9.88295
9.90141 9.89883 9.89620 9.89353 9.89080 9.88802 9.88519
9.90351 9.90093 9.89830 9.89563 9.89290 9.89012 9.88729
9.88147 9.87848 9.87511
9.90547 9.90289 9.90026 9.89759 9.89486 9.89208 9.88925
9.88343 9.88011 9.87740
9.90729 9.90471 9.90208 9.89941 9.89668 9.89390 9.89107 9. 88819 9.88525 9.88226 9.87922
9.90897 9.90639 9.90376 9.90109 9.89836 9.89558 9.89275 9.88987 9.88693 9.88394 9.88090
9.91052 9.90794 9.90531 9.90264 9.89991 9.89713 9.89430 9.89142 9.88848 9.88549 9.88245
9.90404 9.90131 9.89853 9.89570 9.89282 9.88988 9.88689 9.88385
9.90258 9.89980 9.89697 9.89409 9.89115 9.88816 9.88512
9.90371 9.90093 9.89810 9.89522 9.89228 9.88929
9.90471 9.90193 9.89910 9.89622 9.89328 9.89029
9.90557 9.88007 9.87713
9.87175 9.86871
9.87414 9.87110
9.87638 5 9.92437
9.92497
9. 92193
9. 91945
9. 91691
9.91433
9.91170
9.90903
9.92253
9.92005
9. 92543
9.92299
9.92051.
9. 91751 9.91493 9.91230
9.91797 9.91539 9.91276
9.90963
9.91009
9.92577
9.92333
9.92085
9.91831
9.91573
9.92596
9.92352
9.92104
9.91850
9.92603
9.92359
9.92111
9.91857
9.91592
9.91599
9.91310 9.91043
9.91329 9.91062
9.91336 9.91069
9.90412 9.90129 9.89841 9.89547
9.90458 9.90175 9.89887 9.89593
9.90492 9.90209 9.89921 9.89627
9.90511 9.90228 PHUN 2008 2009 2008 2008 29 22208 OHNOT BONGO CONCI 49588 REN2* PRNO 8**** 6 00 90
MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-


RULE. Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page TERRE POFKA 2222* RONKA O
Declination.
ESTING Hour
Hour
OKNA GANG BANG 2008 98 8 CHONG 44088
.
Angle.
Angle.
The TABLE '
'
V.
42° 3 00
45
4339° ° 30'
'
39° 42]
41
4100'
4140° 43
36
'
'
'
38
40° 30'
37
9.62512
9.63500
9.64453
9.65373 40
9.66260 41
9.67117 42
9.67944
9.68743
9.69515
9.63639
9.64002
9.64990
9.65943
9.61188
439.61871
9.62246
9.62615
9.60425
9.60808
• 9.61183
h.m.
• h. 9.61552
m.
FOTONG 9.69898
9.63964 9.63637 9.63305 9.62966 9.62622 9.62272 9.73374
0 00 OH234
9.73690
0
OHNM-
9.73999
9.72602
0 0 00
01
9.72918
8.09135 8.08752
8.10242 8.09879 8.09510
9.73227
8. 11964
S. 9.71803
9.72119
8.10599
11632
8. 01
8. 10949
12291
9.72428
1
8. 8. 8. S. 13236
S. 43332
9.70976
9.71292
9.71601
9.70119
8.43023
9.70435
12611
8.42707
11293
8.41389
9.70744
9.69232
9.69518
8.41728
8.41045
9.69857
8.42387
8.40695
8.42060
&&***
15
42
41
40
9.68312
9.68628
8.58293
S.60930
9.68937
8.60305
39
8.59326
9.67359
8. 60621
8.58643
8.58987
8.59658
8.599$5
9.67675
9.67984
38
9.66371
9.66687
9.66996
37
8.40338 8.39975 8.39606
8.57936 8.57573 8.57204
8.70414 8.70051 8.69682
S. 73403
8.39231 8.38848
8.56829 8.56446
8.69307 8.68924
70771
8.72783
9.65347
8.71465
9.65663
8.72463
8. 8.71801
S. 73099
9.65972
8.72136
36
8. 71121
9.64284
9.64600
9.64909
35
9.55750 31
9.51727
9.50651 9.53123
9.51029
25
9.37971 20
8.78596
79354
5678 8. 8.79723
S. $30S0
8.78979
8.80793
9.35830
8.81137
8.80086
8.81476
8.81808
S. $2771
9.36213
2135
8. $2455
8.80443
8. $9.36588
9.36957
20
9.38371 9.63181
9.63497
9.63806
34
9.62036
9.62352
9.62661
88686
33
8.90973
9.60846
8.89030
DEERE 40
86189
8.90661
86S72
90318
8. 8. 89701
S. 9.61162
8. 8.90028
8.89369
9.61471
8.87247
8. 32
9.59609
9.59925
9.60234
31
8.97639
9.58322
8.94645
8.95696
8.96035
9.58638
9.58917
9.56982
97330
8.95002 95352
8.96691
S. 8.88336 8.87979 8.87616
8.94282
8.96367
S. 97011
9.57298
8. 9.57607
56 29
43 9.55586
8.93155
8.93538
8.93913
9.55902
9.56211
28
9.54130
9.51416
9.54755
27
9.52609
9.52925
9.53234
26
12
44 9.51020
9.51336
9.51645
40 25
9.49356
8.99305
9.49672
9.00049
8.98922
8.99680
9.03406
9.00412 9.01119
9.49981
9.01463
9.02781
9.03097
9.00769
24
9.02134
36 9.02461
9.01802
9.17613
9.47929
32
9.48238
23
32 9.45783
9.16099
9.46408
22
00
9.03999
28 | 9
9.043S2
9.05126
9.43858
1 9.05489
9.06510
9.04757
9.07858
9.05453
9.05846
9.44174
9.03174
9.07538
9.44483
21
9.07211
OS
24 9.06379
9.06196
9.41830
9.42146
9.42455
20
20 9.33561
9.33917
9.34322
9.34691
9.37320
9.35411 9.35761
9.36105
9.31160
9.31543
9.31918
9.32650 9.32287
9.33007
9.33357
9.08533
9.08916
9.09291
9. 33701
01
9.10023
9.10730
9.28600
11074
13017
9.28983
9. 9. 9.09660
9.29358
10
9.12708
9.29727
9.12392
9.30090 9.10380
9.11745
9.30447
9.12072
9. 11413
9.30797
9.31141
9.31480
1 00
9.25866
9.26624 9.26249
9.26993
9.27356 9.27713
9.28063
9.28407 9. 12626
9.13009
9.15167
9.29405 13753
9.14823
9.15838
9.16801
9.38710
9.39689
9.13384
9.40005
11
9.16165
17110
9.15506
9.14473
9.16185
9. 9.40314
14116
19
9.37423
9.37739
9.38048
12❘ 18
9.35019
9. 9. 9.35335
9.35611
17
9.32459
9.32775
9.33051
16
2.00 48
12
9.16354
STONE
30
9.16737
9.17481
9.29725
9.20***
9.30041
$38
9.30350
9.17112
18551
15
9.18895
9. 20213
9.20529
9.22934
9.23317
9. 9.17844
9.19566
9.23692
9.19893
9.19234
9.24061 9.24424
9.24781
9.25131
1800
9.25475
9. 18201
CHONG
9.25814
9.26146 9.26473
9.26793
9.27109
9.27418
14
9.19775
9.20902 9.20533 9.20158
9.21265
9.21622
9.21972
9.22316
9.24259
9.22655
9.23314 9.23634
9.22987
9.23950
13
CHANGE
3 00
52
1683000° 0000° 30° 00° 30' 44° 00'
44° 30' 45° 00' 45° 30'
READ 222** *R*** OOTANG GANG OTONA 22202 AND 12927
9.29078 9.28746
9.32139 9.31812
9.34699 9.34372 9.34040
9.37103 9.36776 9.36444
9.39369 9.39042 9.35054
9.37677 9.38027
9.41510 9.41183 9.40851 9.40512 9.40168 9.39818 9.39461 9.39098 9.38729 9.38351
9.43538 9.43211 9.42879 9.42540 9.42196 9.41846 9.41489 9.41126 9.40757 9.40352 9.39999
9.45463 9.45136 9.44801 9.44465 9.44121 9.43771 9.43114 9.43051 9.42682 9.42307 9.41924
9.47293 9.46966 9.46634 9.46295 9.45951 9.45601 9.45244 9.44881 9.44512 9.44137 9.43754
9.49036 9.48709 9.48377 9.48038 9.47694 9.47344 9.46987 9.46624 9.46255 9.45SSO 9.15497
9.50700 9.50373 9.50041 9.49702 9.49358 9.49008 9.48651 9.48288 9.47919 9.47514 9.47161
9.52289 9.51962 9.51630 9.51291 9.50947 9.50597 9.50240 9.49877 9.49503 9. 19133 9.48750
9.53810 9.53483 9.53151 9.52812 9.52468 9.52118 9.51761 9.51398
9.55266 9.54939 9.54607 9.54268 9.53924 9.53574 9.53217 9.52854 9.52485
9.56662 9.56335 9.56003 9.55664 9.55320 9.54970 9.54613 9.54250 9.53881
9.58002 9.57675 9.57343 9.57001 9.56660 9.56310 9.55953 9.55590 9.55221 9.54816 9.54463 30 2 00
9.59289 9.58962 9.58630 9.58291 9.57947 9.57597 9.57240 9.56877 9.56508 9.56133
9.60526 9.60199 9.59867 9.59528 9.59181 9.58834 9.58477 9.58114 9.57745 9.57370 9.56987
9.61716 9.61389 9.61057 9.60718 9.60374 9.60024 9.59667 9.59304 9.58935 9.58560 9.58177
9.62861 9.62534 9.62202 9.61863 9.61519 9.61169 9.60812 9.60449 9.60080 9.59705 9.59322
9.50271
9.52110
9.53506 9.61915
9.65027 9.64700 9.64368 9.61029 9.63685 9.63335 9.62978
9.66051 9.65724 9.65392 9.65053 9.61709 9.61359
9.63270 9.62895
9.67039 9.66712 9.66380 9.66041 9.65697 9.65347
9.61627 9.64258 9.63383
9.67992 9.67665 9.67333 9.66994 9.66650 9.66300
9.65580 9.65211 9.64836
9.68912 9.68585 9.68253 9.67914 9.67570 9.67220 9.66863 9.66500 9.66131 9.65756
9.69799 9.69472 9.69140 9.68801 9.68457 9.68107 9.67750 9.67387 9.67018 9.66643
9.70656 9.70329 9.69997 9.69658 9.69314 9.68964 9.68607 9.68244 9.67875 9.67500
9.71483 9.71156 9.70824 9.70485 9.70141 9.69791 9.69434 9.69071 9.68702 9.68327
9.72282 9.71955 9.71623 9.71284 9.70940 9.70590 9.70233 9.69870 9.69501 9.69126
9.73054 9.72727 9.72395 9.72056 9.71712 9.71362 9.71005 9.70642 9.70273 Finding of the Azimuth

Declination.
56
Hour
Angle.
42° 30' 43° 00' 43° 30'
52
44° 00' 44° 30' 45° 00'
$7 48
45° 30'
44
40
hO
36
32
. m.
28
9.71712
24
9.71362 9.71005 9.70642
20
9.70273
16
9.69898
9.72456
12
9.69515
08
9.71017
45 3 00
9.70642
9.73176
01
5 00
56
9.70259
52
18
9.73870
01
9.72106 9.71749 9.71386
9.72826 9.72469 9.72106
9.73520 9.73163 9.72800
46
.
The V.
9.71737
TABLE 9.70979 9.71362
11
40
08
36
PER28 IZAIJ ZINNY 8898* ***28 68489 and AA!
9.72431
28
9.72056
24
20
47
9.71673 48
16
12
12
9.74541
08
9.74191
01
9.73834
56
9.73471
52
9.73102
48
9.72344
9,72727
44
40
36
32
9.75532 9.75188
49
9.74838
23
9.73749
9. 74481
16
9.74118
52
24
50
9.73374
20
EGURAR 9.84559
9.72991 9. 84540
9.75813
9. $4506
9.74743
9.75106
9.75463
9.84460
9.84843
85324 9.81949
9.74374
9.85693
9.73999
9.85686
9.73616
9.86049
9.86056
9.76416
9.86406
9. 76066
9.86413
9.75709
9.85667
9.75346 9.74977
9. 86030
9.74602 9.74219
9.86387
9.81100
9.76998
9.84783
9.76648
9.85890 9.75928
9.85527 9.85158
9.85950 9.85587 9.85218
9.85996
9.76291
9.75559
9.85633
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the
The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
9.76489
9.77559
169
9.77209
[Page 9.76852
53
9.84566 90 6 00
$9
9.76120
9.86763
9.87280 9.86941 9.86597 9.81327
9.75745 9.75362
9.81710
9. 81211
9.81624
9.77749
9.78099
9.84141
9. 81521
9.77029 9.77392
9.81028
9.83901 80
9.78620
9.84284
9.78270
9.84411
9. 77913
9.87113 9.86781 9.86442 9.86098 9.85748 9.85391 9.85028 9.81659
9.87567 9.87240 9.86908 9.86569 9.86225 9.85875 9.85518 9.85155 9.84786
9.87353 9.87021 9.86682 9.86338 9.85988 9.85631 9.85268 9.81899
9.87453 9. 87121 9.86782 9.86438 9.86088 9.85731 9.85368 9.81999
9.87539 9.87207 9.86868 9.86524 9.86174 9.85817 9.85454 9.85085
9.83761 79
9.78772
9. 79122
9.84144
9.84519
9.78415
9.81888
9.85251
9.79605
9.86302 9.85958 9.85608
9.79255
78
9.83606
9.77408 58
9.80070
9.83989
9.79720
9.84361
9.84733
9.76660 9.76285 9.75902
9.77550 9.77181 9.76806 9.76423
9.78052 9.77683 9.77308 9.76925
9.78898 9.78535 9.78166 9.77791
9.79363 9.79000 9.78631 9.78256
9.77873
9.85096
9.85453
9.86147 9.85803
59
9.83060
9.83256 76
9.83428
9.80860 9.80516
9.83821
9.80166
9.81196
9.79809 9.79446
9.81565
9.78702
9.79077
9.84928
9.85285
9.78319 60 4.00
9.85635
9.81289 9.83€39
9.80595
9.80945
9. 84014
9.81383
9.80238
9. 84746
9.79875
9.85453 9.85103
9.79506
9.83443
9.79131
9.83818
9.78748
9.84187
9.84550
9.85257 9.84907
9.81700 9.81356
73
9. 81006
9.81865 79917
9.80649
9.82850
9.80286
9.83608
9.83977
9. 9.81340
9.79542
9.84697
79159
9.83381
9. 62
9.83753
9.84116
9.84473
9.82434 9.82095 9.81751
9. S2770
9. 81401
9.83145
9. 81044
9.83514
80312
9.80681
9.82516
9.82891
9.82812 9.82473 9.82129
9. 9.83260
9.79937
9.83980 9.83623
9. 79554
9.85391 9.85047
9.84330
63
9.82218
9.82623
9.81779
9.82992
9.81422
9.83712 9.83355
9. 81059
9.84062
9.80315
9.80690
9.80294 65
9.80639 66
9.80969 67
9.81253 68 32
9.81581 69
9.79932 64
9. 81964
9.82339
9.82491
9.82708
9.82141
9.83071
81781
9.83428
9. 9.81052
9. 83778
9. 81421
9.80677
9.81022
9. $1352
9.81666
9.82041
9.82410
9.82773
9.83166 9.82816
9.82129
9.83480 9.83130
9.81766
9. 81727
9.81397
9.82096
9.82459
Hour
Angle.
39° 00'
39° 30
40° 00'
40° 30'
41° 00'
41° 30'
42° 00'
h. m.
O
24
STONE 2*82*
3 00 15
01 46
9.73999
9.73690
08 17
12 48
9.74743
9.75463
9.74434
9.73374
9.74118
9. 73054
9.72727
9.72395
9.73798
9.73471
9.73139
9.72056
9.72800
9. 75151
9.74838
9. 74518
9.74191
9.73859
9. 73520
9. 76157
9.75848
9.75532
9.75212
9.74885 9.74553
9.74214
16
19
9.76828
9.76519
9.76203
9.75883 9.75556
9.75224
9.74885
·
20 50
9. 77475
9.77166
9.76850
9.76530
9.76203
9.75871
51
9.78100
9.77791
9.77475
9.77155
9.76828
9. 76196
9.76157
52
9.78703
9.78394
9.78078
9.77758
9.77431
9. 77099
9.76760
32 53
9.79285
9.78976
9.78660
9.78340
9. 78013
9.77681 9.77342
36 51
9.79816
9.79537
9.79221
9.78901
9.78574
9.78242
9.77903
9.75184 9.74801
40 55
456
48 57
52 58
56
4 00
01 61
9.80386
9.80077
9.79761
9. 79441
9.79114
9.80907
9.80598
9.80282
9.79962
9. 81409
9. 81100
9. 80784
08
12 | 63
16
20
24 66
28
32
92 68
36 69
40
44
48 72
52 73
56
5 00 75
01 76
08
12
78
16
20
80
21
81
28
82
32 83
36
10
85
41
86
48 87
52
56 89
6 00
888*** ****8 IIIII ZINNY 8898* ****8 88
9.81892
9.81583
9. 81267
59
9.82357
9.82048
9.81732
9.80464
9.80947
9. 81412
9.78782 9.78443
9.79635 9.79303 9.78964
9.80137 9.79805 9.79466
9.80620 9.80288 9.79949
9.81085 9.80753 9.80414
9.82803
9.82494
9.82178
9.81858
9.81531
9.81199
9.83232
9.82923
9.82607
9.82287
9. 81960
9.81628
62
9.83643
9.83334
9.83018
9.82698
9.82371
9.82039
9. 84038
9.83729
9.83413
9.83093
9.82766
9. 84116
9.81107
9.83791
9.83471
9.83144
9.84778
9.84469
9.84153
9.85123
9.84811
9.81498
67
9.85453
9.85144
9.84828
9.85767
9.85458
9.85142
9.83833 9.83506 9.83174 9.82835
9.84178 9.83851 9.83519 9.83180
9.84508 9.84181 9.83819 9.83510
9.84822 9.84495
9.82836 9.82486
9.84163
9.86065
9.85756
9.85440
9.85120
9.84793
9.84461
9.83824
9.84122
9.86319
9.86040
9.85724
9.85404
9. 85077
9.86617
9.86308
9.85992
9.85672
9.85345
9.84745
9. 85013
9. 84406
9.84674
72
9.86871
9.86562
9.86246
9.85926
9.85599
9.85267
9. 87110
9.86801
9.86485
9.86165
9.85838
9.85506
9.87331
9.87025
9.86709
9.86389
9.86062
9.85730
9.84928 9.84584 9.81234 9.83877
9.85167 9.84823
70
9.82133
9.82387 72
9.83009 9.82626
9.83233 9.87514
9.87740
9.87235
9. 86919
9.86599
9.86272
9.85940
9.85601
9.87431
9.87115
9.86795
9.86468
9.86136
9.85797
9.87922
9. 87613
9.87297
9.86977
9.86650
9.86318
9. 85979
9.88090
9.87781
9.87465
9.87145
9. 86818
9.86486
9.88245
9.87936
9.87620
9.87300
9.86973
9.86641
9.88385
9.88076
9.87760
9.87440
9.88512
9.88203
9.87887
9.88625
9.88316
9.88000
9.87680
9.88725
9.88116
9.88100
9.87780
9.88811
9.88502
9.88186
9.87866
9.88884
9.88575
9.88259
9.87939
9. 87612
9. 88914
9.88635
9.88319
9.87999
9.87672
9.88990
9.88681
9.88365
9.88015
9.89024
9.88715
9.88399
9.89043
9.89050
9.88734
9.88741
9.88418
9.88125
9.86247
9.87340 9.87001 9.86657 9.86307
9.87718 9.87386 9.87047 9.86703 9.86353
9.88079 9.87752 9.87420 9.87081 9.86737
9.88098 9.87771 9.87439 9.87100 9.86756
9.88105 9.87778 9.87446 9.87107 MARKING THE AZIMUTH.—The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-
9.85264 9.84889
9.85298 9.84923
9.85317 9.81912
9. Finding of the Azimuth
RULE. Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a valuo equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 27
Hour
22222 Declination.
Angle.
288
FOTO Hour
.
The Angle.
TABLE 52° 00'
51° 30'
30'
V.
° 30'
49° 45° 3049° 00'
47° 00'
46о
170]
46° 00'
'
45 3.00
489.63883
'
479.66203
56
° 30'
44
48° 00'
63111
9. 9. 65431
52
43
9.62312
42
9.61485
41
h. m..
9.60628
h.m.
40 40
O
9.59741
39
0123
00
0123OTH
0 38
0 00
-∞
9.57868
9.58821
37
8.03120
8.03601
8.04073
8.04537
8.04993
8.05440
04
8.08752
9.56880
8.08363
36
9.55856
8.07967
04
8.05880
8.07154 8.07564
OS
9.56337
9.56809
9.57273
35
9.54793
9.55274
9.56210 8.38459
8. 38848
9.55746
8.38063
8.34633
9.56666
8.35976
9.66643
9.65756 9.65300 9.64836 9.64364
8.35536
12
8.33216
8. 33697
8.34169
9.63358
9.64245
56416
9.64185 9.63775
9.65072 9.64662
9.65929 9.65519
9.66756 9.66346
9.67555 9.67145
9.68327 9.67917
&. 56057
08
9.68730
9.69126
9.69515
8. 55661
8. 45
9.67958
16
9.68354
8.50814
8.51295
8.51767
8.52231
8.52687
8.53574
8.68921
9.68743
8.68139
53134
8.66909
8.68535
44
8. 肝​肝
​8.67736
00
12
3 56
9.67159
9.67555
9.67944
43
52
9.66332
9.66728
9.67117
48 42
9.65475
9.65871
9.66260
44 41
9.64588
4
8.63292
8.63773
8.64245
8.64709
8.65165
9.64984
8.65612
66052
8.66484
9.65373
40 40
9.63668
9.64064
9.64453
39
8. 36
9.62715
9.63111
9.63500
9.61727
9.62123
9.62512
9.60703
9.61099
8.72964
8.73445
8. 73917
1961∞ 9.61488
8.74381
8.74837
8.75284
78596
9.59640
8.78207
8. 9.60036
9.60425
8.76581
20
8.76998
34
5
9.53690
8.77811
8.75724
8.76156
8.77408
9. 54171
9.55107 9.54643
9.55563
9.56010
9.56450
21
9.56882
33
9. 52545
9.53026
9.53498
9.53962
24
8.80857
8.81338
8.81810
82274
8.82730
9. 54418
8.84891
8.86100
8. 25
9.54865
8.86489
8.83177
9.55305
9.55737
8. 85704
32
85301
8.83617 7
9.51355
8.84049
8. 8.84474
9.51836
9.52308
9. 52772
9.53228
9.53675
32
9. 54115
54547
9. 31
30 2 00
9.50118
9.48831
8.87523
8.88004
8.88476
8
8.88940
8.89396
93155
9.50599
S. 90715
9.51071
9. 91557
a
36
8.92766
51535
8.92370
9.49312
9.49784
9.50248
8.91140
8. 8.91967
9
9.50704
8.90283 9.51991
8. 9.52438
9.52878
9.53310
9.51151
9.51591
9.52023
9.53275 9.52865 9.52448
9.54562 9.54152 9.53735
9.55799 9.55389 9.54972
9.56989 9.56579 9.56162
9.58134 9.57724 9.57307
9.58537
32
8.93290
9.58933
8.93771 8.94243
8.94707
8.95163
8.95610
8.96907
8
98922
9.59322
9.57392
8.96050
8. 8.98533
8.96482
9.57788
8.98137
9.58177
97324
8.97734
9.56202
9.56598
8. 9.56987
9.54965
9.55361
9.55750
9.53678
9.54074
9.54453
29
28
27
44
26
9
8.98367
8.98848
8.99320
8.99784
9.00240
01127
25
9.03214
24
23
9.38122
9.01984
9.00687
9.39865
9.03999
9.02401
9.03610
9.01559
9. 9.02811
9.36292
21
20
19
18
17
16
15 | 1 00
9.20234
9.23449 9.22968
9.26009 9.25528
9.28413 9.27932
9.30679 9.30198
9.32339
9.34367
9.47491
9.26945 9. 48444
9.48908
HERRE
9.02901
9.49364
9.03382
9.03854
9.04318
9.04774
9.05221
9.08533
10
9.06935
9.07748
49811
40
9. 9.06093
9.06518
10
9.08144
50251
9. 9.50683
9.07345
9.05661
9.51108
9.47968 9.47512
9.46512
9.46959
9.48415
9.48855
9.49287
9.47399
9. 44991
9.45438
11
9.06994
9.07947
9.43849
9.08411
9.08867
9.07475
9.09754
11028
44 9.49712
9.51525
9.50539 9.50129
9.12237
10611
9. 9.11438
9.09314
12626
11
9.52338
52734
9. 9. 9.53123
9. 11841
9. 9.50942
9.51338
9.51727
9. 10186
9.48673
9.49083
9.49486
9.49882
9.50271
9.47562
9.47965
9.48361
9.48750
26
12
9.10722
9. 11203
9. 11675
12139
12595
9.45973
48 9. 9. 13042
9.16351
9.46376
9.14756
12
15569
9.46772
9.47161
25
9. 9.15965
9. 42185
9. 9. 9.40442
14339
9.40882
9.15166
9.38612
9. 13914
13482
9. 9.39052
9.39484
9.39909
9.42625
9. 9.43899
19775
9.42156
9.44309
9.44712
9.18990
52
9.19386
9.45108
15197
9. 9.42566
13
18587
9.42969
9.43365
9. 13
9. 14143
9.14624
9. 15096
9. 15560
9. 16016
9.43754
9. 9.36687
16903
9.22931
9.37127
9.38811 9.17760
9.22545
9.38401 9.37984 9.37559
9.40736 9.40326
9.41139
9.41535
9.41924
9.39214
9.21336
56
9. 17335
9. 16463
9.39610
11
9.22149
9.39999
9.21746
9.34212
9.34659
9.35099
9.35531
9.35956
9.36373
9.36783
9.37186
14
9. 17302
18255
9.37582
9. 9. 18719
9. 19175
9. 17783
19622
9. 9.37971
20
20062
9. 9.32071
9. 20919
20494
9.32518
9. 9.32958
9. 33390
9. 33815
9.34232
9.34642
9.35045
9.35441
9.35830
9.29805
9.30692 9.30252
9.31124
9.31549
9.31966
9.32376
9.32779
9. 33175
9.33561
18
9.27401
9.20715
9.21651
9.27848
9.22107
9.25866
9.21187
00
9.23851
9.28288
9.28720
9.22991
9.25081
9.23426
9.24268
1 9. 29145
9.24678
15
29562
9. 9.25477
9.29972
22554
9.30375
9. CONDO 9.30771
9.31160
9.23921
9. 24385
9. 24841
9.25288
9.28600
01
9.25728
9.26585
9.26160
9.28211
9.27002
9.27412
9.27815
16
222** ****2 87007 10 como
32
28
36
21 20
OS
34
16
33
12
32
08
04
30
2 00
29
56
52
48
41
40
36
12
23
32
28
21
20
16
° 3050° 00' 50° 30'
51° 00'
8.37660
8. 55258
8.06737 8.06312
8.37250 8.36833 8.36408
8.54818 8.54431 8.54006
8.67326 8.35089 8.89843 9. 18177
9.41739 9.41314
9.43482 9.43057 9.51935 9. 45563 9.45146 9.44721 9.44289
9.47152 9.46735 9.46310 9.45878
9.48256 9.47831
9.26481
9.29349 9.28885
9.31615 9.31151
9.33756 9.33292 9.32820
9.36240 9.35784 9.35320 9.34848
9. 38165 9.37709 9.37245 9.36773
9.39995 9.39539 9.39075 9.38603
9.41738 9.41282 9.40818 9.40346
9.43402 9.42946 9.42482 9.42010 9.41529
9.44535 9.44071 9.43599 9.43118
9.46056 9.45592 9.45120 9.44639
9.47048 9.46576 9.46095
9.47972 9.59237 9.58827 9.58410 9.57985 9.57553 9.57113
9.60300 9.59890 9.59173 9.59048 9.58616 9.58176 9.57729
9.61324 9.60914 9.60497 9.60072 9.59640 9.59200 9.58753 9.58297 9.57833 9.57361
9.62312 9.61902 9.61485 9.61060 9.60628 9.60188 9.59741 9.59285 9.58821 9.58349
9.63265 9.62855 9.62438 9.62013 9.61581 9.61141 9.60694 9.60238 9.59774 9.59302
9.62933 9.62501 9.62061 9.61614 9.61158 9.60694 9.60222
9.63820 9.63388 9.62948 9.62501 9.62045 9.61581 9.61109
9. 65102 9.64677 9.64245 9.63805 9.63358 9.62902 9.62438 9.61966
9.65929 9.65504 9.65072 9.64632 9.64185 9.63729 9.63265 9.62793
9.66728 9.66303 9.65871
9.64984 9.64528 9.64064 9.63592
9.67500 9.67075 Finding of the Azimuth
2**** ***NO OTONG 22000 DONG OTONG 2*22* 9#****** SH☹0 1000 



Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155,
Hour
Angle.
49° 00'
6 00
49° 72
30' 50° 00'
36
24
о
20
FOTONG h.m..
9.67500 9.67075 9.66643
48
9.66203
AAH
9.65756
♡♡♡♡♡♡♡ 9.65300
9.79415 9.78931 90
9.64836
9.79389 9.7890S 88
9.64364
9.79355 9.78S71 87
9.78828
9.63883
9.66500
9.66947
9.78768
00
9.66014
9.79176 9.78695 84
9.65108
9.65580
45 3 9.79090 9.78609 83
82
9.64627
9.78990 9.78509 9.78269 80
9.78396 81
9.78129 79
9.77806 77
9.77428 75 46
5 00
9.77624
9.68107
74
9.67667
9.76994 73
9.67220
9.77218
9.66764
9.78750
9.66300
9.78877
9.65347 9.65828
9.78610
9.78455
47
9.68801
9.78287
67914
9.68361
9.78105
9.78577
9. 9.79497 9.67458
9.79082
9.66994
9.80449
9.66522
9.80294
9.80126
9.69472
9. 79944
9.69032
9.66041 48
9.68129
9.68585
9.80816 9.80384
9.81694 9.81251 9.80807 9.80351 9.79887
9.67665
9.77909
9.67193
9.78381
9.78845
9.69679
9. 70119
9.79301
9.66712 49
9.69232
9.79748
9.68776
9.80188
9.68312
70
9.67840
9.77699
9.76714 9.76233
9. 78171
9.78635
The 9.79091
9.67359 9.79538
50
9.79978
9.70304
9. 70744
9.77917
9. 9.69857
78411
9.69401
9.78867
9.68937
9. 79314
9.68465
9.79754
9.67984
9.77708
9.71347
9. 78172
9.70907
9.78628
9.70460
9.79075
9.70004
9.79515
9.69540
9.77454
9.69068
9.77918
9.68587
TABLE 9.78374
9.71929
52
9.71489
9.78821
9.71042
9.79261
9.70586
9.77186
9.70122
9.77650
9.69650
9.78106
9.69169
9.78553
9.78993
69
53
9.75949
9.72050
9.72922 9.72490
9.76430
68
9.71603
9.75651
9.71147
9.76132
9.70683
67
9.70211
9.75337
9.69730
9.75818
54
9.77366 9.76902
V.
9.73887 9.73462 9.73030
9.76754 9.76290
9.72590
9.77210
9. 72143
9.77822
9.71687
9.77657
9.71223
9.78709
9.70751
9. 78411
9.70270
9.78097
9.73551
66
9. 73111
9.75007
9.72664
9.74662 9.72208
9.75488
9.71744
9.76424 9.75960
9.71272
9.76880
9.70791
9.77327
9.77767
9.74053
9.75143
Finding of the Azimuth.
9.73613
9.76982 9.76535 9.76079 9.75615
9.73166
9.77422
9.72710
64
9.72246
9.74300
9.71774
9.74781
9.71293
9.75253
57
9.73922
9.74403
9.74536
9.74875
9.74096
9.73527 62
9.73649
9.74008
9.73193
9.74480
9.72729
9.73116
9.72257
9.73597
9.71776
9.75001
9.76620 9.76173 9.75717
9.74561
9.74989 9.74533 9.74069
9.73658
9. 74114
9.77060
9.76242
9.73194
9.76682
9.72722
9.75847
9.76287
9.72241
9.75436
56
9.75447
9.75876
9.75007
60 4 00
9.74560
9.72687 9.74104
9.73168
9.73640
[2**** G**NG 81029 21228 02 8829 24828 070788
Page 171

Hour
Angle.
45° 30'
46° 00'
46° 30'
47° 00'
47° 30' 48° 00' 48° 30'
50° 30' 51° 00' 51° 30' 52° 00'
€80829
h.m.
2*22*
9#*88
8**29
2****
***88
8*82º
2**28
G#*288
O
3 00 45
46
47
12 48
28 52
40 55
44 56
48 57
52
59
4 00 60
04 61
08
62
12
|
63
16
64
20❘ 65
24 66
28
67
32 68
36 69
40 70
71
48 72
52 73
DONDO ONO8J
385OO
SUNOJ
28588
OENO
9.69515
9. 70259
9.69126
9.68730
9.68327
9.69870
9.69474
9.69071
9.67917
9.68661
9.70979
9.71673
9.70590
9.70194
9.69791
9.69381
9. 71284
9.70888
9.70485
49
9.72344
9.71955
9.71559
9.71156
9.68244 9.67819 9.67387
9.68964 9.68539
9.70075 9.69658 9.69233
9.70746 9.70329 9.69904
50
9.72991
9.72602
9.72206
9.71803
9.71393
9.70976
9.70551
51
9.73616
9.73227
9.72831
9.72428
9.72018
9.71601
9.71176
9. 74219
9. 73830
9. 73434
9. 73031
9.72621
9. 72204
9.71779
53
54
9.74801
9.75362
9. 74412
9.74016
9.73613
9. 73203
9.72786
9.72361
9.74973
9.74577
9.74174
9.73764
9.73347
9.75902
9.76423
9.76925
9. 75513
9.75117
9.74714 9.74304
9.76034
9.75638
9.75235
9.74825
9.74408
9.73983
9.76536
9.76140
9.75737
9.75327
9. 74910
9.74485
9.77408
9.77019
9.76623
9.76220 9.75810
9.75393
9.74968
9.77873
9.77484
9.77088
9.76685 9.76275
9.75858
9.75433
9. 78319
9.77930
9.77534
9.77131 9.76721
9.76304
9.75879
9.78748
9. 78359
9.77963
9.77560 9.77150
9.76733
9. 76308
9.79159
9.78770
9.78374
9.77971
9.79554
9.79165
9.78769
9.79932
9.79543
9.79147
9.77561
9.78366 9.77956 9.77539
9.78744 9.78334 9.77917
9.77144
9.76719
9.77114
9.77492
9.75400 9.74944
9.75795 9.75339
9.80291
9.79905
9.79509
9.80639
9.80250
9.79854
9.79451
9.80969
9.80580
9.80184
9. 79781
9.81283
9.80894
9.80498
9.80095
9.81581
9.81192
9.80796
9.80393
9.79106 9.78696 9.78279 9.77854
9.79041 9.78624 9.78199
9.79371 9.78954
9.79685
9. 79983
65
9.78529
9.79268
9.78843
9.79566
9. 79141
9.77971 9.77524
9.78269 9.77068 9.76601
9.81865
9.81476
9.81080
9.80677
9.80267 9.79850
9.79425
9.82133
9.81744
9.813-18
9.80945
9.80535 9.80118
9.79693
9.82387
9.81998
9.81602
9.82626
9.82237
9.81841
56 74
5 00 75
9.82850
9.82461
9.82065
9.81199 9.80789 9.80372
9.81438 9.81028 9.80611
9.81662 9.81252 9.80835
9. 79947
9.80186
9.80410
9.76982 9.76501
9.77236 9.76755
9.77475
04 76
08
12 78
20 80
24 81
82
83
84
40 85
86
52 | 88
89
6 00 90
PREKO
87***
*87888
9.83060
9.82671
9.82275
9.83256
9.82867
9.82471
77
9.83438
9.83049
9.82653
9.83606
9.83217
9.82821
79
9.83761
9.83372
9.82976
9.81872 9.81462 9.81045
9.82068 9.81658 9.81241
9.82250 9.81840 9.81423
9.82418 9.82008 9.81591
9.82573 9.82163 9.81746
9.80620
9.83901
9.83512
9.83116
9.84028
9.83639
9.83243
9.84141
9.83752
9.83356
9.84241
9.83852
9.83456
9.84327
9.83938
9.83542
9.84400
9.84011
9.83615
9.84460
9.84071
9.83675
9.84506
9.84117
9.83721
9.84540
9.84151
9.83755
9.84559
9.84566
9.84170
9. 83774
9.84177
9.83781
9.83352 9.82942
9.83371 9.82961
9.83378 9.82968
9.80998 9.80566
9.81166 9.80734
9.81321 9.80889
9.82713 9.82303 9.81886 9.81461 9.81029 9.80589 9.80142 9.79686 9.79222
9.82840 9.82430 9.82013 9.81588 9.81156 9.80716 9.80269 9.79813 9.79349
9.82953 9.82543 9.82126 9.81701 9.81269 9.80829 9.80382 9.79926 9.79462
9.83053 9.82643 9.82226 9.81801 9.81369 9.80929 9.80482 9.80026 9.79562
9.83139 9.82729 9.82312 9.81887 9.81455 9.81015 9.80568 9.80112 9.79648
9.83212 9.82802 9.82385 9.81960 9.81528 9.81088 9.80641 9.80185 9.79721 9.79249
9.83272 9.82862 9.82445 9.82020 9.81588 9.81148 9.80701 9.80245 9.79781 9.79309
9.83318 9.82908 9.82491 9.82066 9.81634 9.81194 9.80747 9.80291 9.79827
9.82525 9.82100 9.81668 9.81228 9.80781 9.80325 9.79861
9. 82544 9.82119 9.81687 9.81247 9.80800 9.80344 9.79880
9.82551 9.82126 9.79041
9.79679 9.79223 9.78759
9.79847 9.79391 9.78927
9.80002 9.79546 9.77974 78
9.79408 9.78927 89
***♡♡ ILISIS ZINNY 8828* 28828 0845 OOOO 
MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-




RULE.-Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 2008
Ilour
P2220 Declination.
Anglo.
2008
€Hour
.
The Angle.
V.
58° 30'
58° 00'
30'
00'
TABLE 57° 56° 30'
55° 30'
5457° 5500'
]
45 3 00
53° 00'
52° 00′
° 00'
'
53° 30'
44
肝
​肝​9.57370 9.56758
9.55986
43
9.55187
9.56598
9.55799
9.56989
9.54972 9.54360 42
9.55573
9.56162
9.52616 40
о
41
9.53503
h.m.
h. m9.53228
.
£9.54115
9.54716
9.55305
0123 9.53829
<-∞
0.00
CA23 0 00
9.52308 9.51696 -∞
39
-00
-∞
-CO
0-00
37
36
34
33
7.96607 7.95995
7.97208
7.97797
8.02132
8.02631
7.98375
7.98942
S. 03120
8.01625
32
8.01108 31
28
9.37514
33216
9.38126
9.39582 9.38970
9.40978 9.40366
9.42318 9.41706
9.43605 9.42993
9.45443 9.44842 9.44230
9.46633 9.46032 9.45420
9.47778 9.47177 9.46565
9.48881 9.48280 9.47668 35
9.49944 9.49343 9.48731
9.50968 9.50367 9.49755
9.51956 9.51355 9.50743 38
9.52909
9.46032
9.44206
8.32228
8.32727
9.44795
9.42919
8.31724
8.26091
8.26703
8. 27304
8.27893
8.50814
8.28471
9.43508
8.50325
8.48802 8.48275
→
8. 49826
9.46292 8. 49319
9.60262 9.59705 9.59138 9.58560 9.57971
9.62895
9.63394
9.63883
45
9.62123
9.62622
8.43689
8.63292
8.62803
8.58547 8.57969
8.60217
8.62301-
8.44301
8.60753
8.61280
8.44902
8.61797
9.63111
9.61324
9.61823
9.62312
9.60497
9.60996
9.61485
9.59640
9.60139
8.56167
→
8.57380 S.56779
4
9.60628
9.58753
9.59252
9.59741
40
9.57833
9.58332
9.58821
9.56880
9.57379
9.57868
32 38
9.55385
9.55892
9.56391
9.56880
9.54868
5O7K 8.65839
8.66451
8.67052
8.69343
8.69889
9.55367
72964
9.55856
8.72475
S. 8.68786 8.70425
9.53805
5
8.70952
8.71469
8.71976
9.54304
CLARE 9.54793
9.47336 9.46819
9.48623 9.48106
9.49860
9.51050
9.52195
9.52702
9.53201
9.53690
9.51557
9.52056
9.52545
8.78845
9.50367
78318
8.80857
9.50866
8. 80368
8.77782
8.79362
8.79869
8.73732
8.74945
6
8. 8.74344
9.51355
32
33
9.49130
9.49629
9.50118
8.84448
8.86535
8.83902
8.85511
8.87523
9.47843
8.87034
8.84984
9.48342
9.48831
8.86028 8.81010
8. 81611
8.82200
9.35993
9.36605
9.37206
9.35016 9.34404
9.35617
9.43870 9.43313 9.42746 9.42168 9.41579
8.89669
8.90215
8.90751
8.92801
8.93290
9.38454 9.37908 9.37351 9.36784 9.36206
9.44416
8.91795 8.91278
8.92302
9.45479
9.45996 9.46503
8.80398
8.86165
9.47002
8.86777
8.87378
9.47491
29
9.44083
8.94746
8.95292
8.96355
8.97379
98367
8.93622 8.93044
8.97878
S. 8
9
9.44600
9.45107
8.95828
22722
1.00 8.96872 9.45606
9.46095
83822 A*K88 97989 81822
28
9.42627
9. a
8.91242
15
8.91854
8.92455
43144
9.43651
9.44150
9.44639
9.41106
9.41623
9.42130
9.42629
9.43118
26
9.39517 9.38990
9.40034
9.40541
9.41010
9.41529
40 25
9.32740
8.95776
9.33953
8.96989 8.90388
8.98723 8.98156 •8.97578
8.99280
9.02901
10
9.01406 9.00889 9.00362 8.99826
9.02412
23
9.30997
9.01913
9.29167
21
9.27242
9.28455
20
9.2521.1
9.25826
9.03373
9.04455
9.05499
9.06505
11
9.06994
9.01082
8.99869
9.00006
9.03919
9.00481
9.04982
9.26427
9.33352
9.27594 9.27016
9.36244
9.36790
9.37326
9.38370 9.37853 9.38877
9.39376
9.02816 9.02249 9.01671
9.06544 9.05977
9.39865
9.07101
9.07647
10722
36 9.08183
9.08710
9.09227
9. 24
12
9.09734
9.10233
9.34501
12
9.03597
9.01209
9.04810
9.35047
9.05399
9.36627 9.36110 9.35583
22222 9.37134
9.37633
9.38122
23
27232 9.32114
9.32671
9.33217
9.33753
9.34280
9.34797
9.35304
9.35803
9.36292
13
9.07018
9.07630
9.08231
9.08820
9.09398
9.09965
9.10522
13654
9.30189
9.11068
13
11604
9.30746
9. 12131
13155
9. 14143
9.31292
9. 9. 9.31828
9. 12648
9. 9.32355
9.32872
9.33379
9.33878
9.34367
21
9.28161
9.28718
9.17302
9.29264
9.29800
9.30327
9.30844
9.31351
14
9.31850
9.32339
20❘ 11
9.10789
20
9.11390
10177
9. 11979
9.12557
9.13681
16
14227
9.14763
9. 13124
9.15290
9. 9.16314
9. 9. 16813
9.15807
9. 15843
9. 18403
9.20807
9.23073
9.23685
9.24286
9.24875
52
9.25453 9.26020
9.27123 9.26577
9.27659
9.28186
9.28703
9.29210
9.29709
9.30198
19
16 00
9.21419
9.22020
9.13109
13721
9.14322
15❘ 1 9. 14911
2.00
15489
9. 9.16613
9.22609
9. 9.16056
9.23187
9.23754
17159
9.20234
9.24311
19745
9.25920 9. 9.25393 9.24857
9.26437
18739
9. 9.17695
9. 9.18222
9.19246
26944
>. 9.27443
9.27932
12 18
9. 19015
** ***** 8700* 2000
9. 19616
9.20205
9.20783
9.21350
9.21907
9.22453
9.23516 9.22989
9.24033
9.24540
16455
9.17056
28
9.25039
9.25528
9.17645
36
18223
9.18790
9.19347
17
9.19893
9.20956
9. 9.22968
9.20429
9.22179
9. 16
9.21473
9.21980
GERRIE
2018
3 00
17252° 30' ° 54° 3056° 00'
94A03 81899 27*S. 8.00581
8.31204 8.30677
8.00015 7.99499
8.30141 8.29595 8.29038
8.47739 8.47193 8.46636 8.46069 8.45491
8.59671 8.59114 |8. 77236
8.68219 8.67641
8.76679 8.76112 8.75534
8.83345 8.82778
8.89112 8.88545 8.87967
8.94189 9.29622 9.29044
9.27854
9.31547 9.30969 9.30380 9.29779
9.33944 9.33377 9.32799 9.32210 9.31609
9.35687 9.35120 9.34542
9.40579 9.40043 9.39497 9.38940 9.38373 9.37795
9.42100 9.41564 9.41018 9.40461 9.39894 9.39316 9.38727
9.43556 9.43020 9.42474 9.41917 9.41350 9.40772 9.40,183
9.44952
9.45756 9.45210 9.44653 9.44086
9.47579 9.47043 9.46497 9.45940 9.45373
9.49343 9.48816 9.48280 9.47734 9.47177 9.46610
9.50533 9.50006 9.49470 9.48924 9.48367 9.47800 9.47222
9.51678 9.51151 9.50615 9.50069 9.49512 9.48945 9.48367
9.53298 9.52781 9.52254 9.51718 9.51172 9.50615 9.50048 9.49470
9.54361 9.53844 9.53317 9.52781 9.52235 9.51678 9.51111 9.50533
9.54868 9.54341 9.53805 9.53259 9.52702 9.52135 9.51557
9.56373 9.55856 9.55329 9.54793 9.54247 9.53690 9.53123 9.52545
9.57326 9.56809 9.56282 9.55746 9.55200 9.54643 9.54076 9.53498
9.58246 9.57729 9.57202 9.56666 9.56120 9.55563 9.54996 9.54418
9.59133 9.58616 9.58089 9.57553 9.57007 9.56450 9.55883
9.59990 9.59473 9.58946 9.58410 9.57864 9.57307 9.56740
9.60817 9.60300 9.59773 9.59237 9.58691 9.58134 9.57567
9.56400
9.61616 9.61099 9.60572 9.60036 9.59490 9.58933 9.58366 9.57788 9.57199
9..62388 9.61871 9.61344 9.60808 30 2 00
Finding of the Azimuth37322 2**** C**08 87392 2****A CHANG BUONG 2009 222** *27*2 8700* 

Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155,
Hour
Angle.
55° 30' 56° 00' 56° 30' 57° 00' 57° 30' 58° 00' 58° 30'
CON CON CAN BE ONE OF 200 2008 2008
h.m.
56
AAAAA
9.58560
$9
9.57971
9.59138
52
9.57370
48
9.60262 44
45
9.56758
32
83
24
81
9.58114
3 00
9.58715
16
9.59882
12
9.59304
46
08
04
9.57502
04
56
9.58222
9.59435
9.59705
9.61006 9.60449
9.61726
9.62420
52
9.60024
9.60602
9.58834
9.61169
9.64700 9.64173 9.63637 9.63091
48
44
36.
69
32
68
9.59528
47
9.61863
28
9.61296
9.58916
9.60718 24
08
16
12
9.60129
9.61967 9.61389 9.60800
08
9.62534
04
48
4 00
56
9.59587 52
9.60199
48
12
57
44
9.60846
9.62614
40
9.61447
9.63181
9.62036
36
9.63738
32
28
24
16
50 20
9.63239
9.63806
8889.72421 9.71809 90 6 00
9.72414 9.71802
The 9.62072
9.72361 9.64363
9.62661
9.61471
9.71783
9.71703 86
85 40
9.60859
9.71643 9.71570 84 36
9.62074
9.71484
9.63842
9.64409
9.71144 80
9.70849 9.63264
78
9.71004
9.64966 ·
9.62675
9.71293 9.70681
9.61462
9.71111 9.70499 76
52
9.71894
9.72062 9.71461
9.72217 9.71616
9.73524 9.72946 9.72357 9.71756
9.73651 9.73073 9.72484 9.71883
9.73764 9.73186 9.72597 9.71996
9.73864 9.73286 9.72697 9.72096
9.73950 9.73372 9.72783 9.72182
9.72255
9.72315
9.64424
9.73505
9.62656
9.73445
9.64991
9.63257
TABLE 9.65548
9.62044
9.75859 9.75313 9.74756 9.74189 9.73611 9.73022
9.63846 9.74517
9. 74431
9.75074
9.75534 9.74988
53
9.71712
9.64985
9.70303 9.65552
9.63818
5 00
9.70915
9.64407 9.63217
9.66109
9.71516
9.72105
9.74331
V.
9.62605
9.74888
54
9.74775
9.74648
9.64947 9.70093 74
9.66649 9.70705
9.71306
9.67170
9.63145 9.71895
9.72473 9.73040
9.66548
9.67115
56
9.73597
9.67672
9.69869
9.65970
9.64780
9.70481
9.71082
9.72249 9.71671
9.72816
9.73373
9.64168
71
9.67031
9.67598
9.69376
9.69630 72
9.65864
9.66453
.
9.68155
9.70242
9.70843
9.65263
9.71432
9.64651
9.72010
9.72577
9.73134
9.69988
58
9.70589
9.65728
9.66918
9.67496
9.71178
9.71756
9.68620
9.66329
9.68063
9. 72323
9.65116
9.72880
70 40
9.69108 9.69720
59
9.70321
9.66174
9.66775
9.68509
9.70910 9.67942
9.71488
9.67364
9.72055
9.69066
9.72612
66
9.65562
9.67537 9.68824
60
9.69684 9.69095
9.70014 9.69425
9.70328 9.69739
9.70626 9.70037
9.71204
9.66603
9.67793
9.71771
9.67204
9.72328
9.71104 9.70577 9.68149
9.68750 9.65991
[Page 9.68782 9.70906
9.69917 61
9. 9.68977
71473
62
9.67787
9.72030
9.67175
9.72798 9.72262 9.71716 9.71159
173
Hour
Angle.
52° 00'
52° 30'
53° 00'
53° 30'
54° 00'
54° 30'
55° 00'
Finding of the Azimuthh.m.
O
3 00
5 00
40
6 00
FOTO 2****
G**NO
8TONG
2*22*
***NG
STONO
2****
G** 8
45
04 46
08
47
20
51
28
32
36
44
48
52
56
4 00 60
04 61
08 | 62
12
63
16 64
20
66
24
28 67
32
69
36
40
70
44
71
48 72
52
73
74
56
75
04
76
08
77
12 78
16
79
80
81
82
83
84
85
86
87
88
89
90
PONGO
ANNAH
BONKA
OUNOJ
28588
2222*
PON*2
27***
*****:8
9.63883
9.64627
9.63394
9.62895
9.62388
9.64138
9.63639
9.63132
9.65347
9.64858.
9.64359
9.63852
48
9.66041
9.65552
9.65053
9.64546
49
9.66712
9.66223
9.65724
9.65217
9.61871 9.61344 9.60808
9.62615 9.62088 9.61552
· 9.63335 9.62808 9.62272
9.64029 9.63502 9.62966
50
9.67359
9.66870
9.66371
9.65864 9.65347
9.64820
9.64284
9.67984
9.67495
9.66996
9.66489
9.65972
9.65445
9.64909
49
9.60234
52
9.68587
9.68098
9.67599
9.67092 9.66575
9.66048
9.65512
53
9.69169
9.68680
9.68181
54
9.69730
9.69241
9.68742
9.67674
9.68235 9.67718
9.67157 9.66630
9.66094
9.67191
9.66655
55
9.70270
9.69781
9.69282
56
9.70791
9.70302
9.69803
57
9.71293
9.70804
9.70305
58
9.71776
9. 71287
9.70788
9.69764
9.68775 9.68258 9.67731 9.67195
9.69296 9.68779 9.68252 9.67716
9.69798 9.69281 9.68754 9.68218
9. 70281
9.66092 9.65525
9.66613 9.66046
9.64358 9.63757
9.65468 9.64879 9.64278
9.65381
55
9.63666 9.69237
9.68701
59
9.72241
9.71752
9.71253
9.70746
9.70229
9.69702
9.69166
9.72687
9.72198
9.71699
9.71192
9.70675
9.70148 9.69612
9.73116
9.72627
9.72128
9.71621
9. 73527
9.73038
9.72539
9. 72032
9.73922
9.73433
9.72934
9.72427
9.74300
9. 73811
9.73312
9.72805
65
9.74662
9.74173
9.73674
9.73167
9. 75007
9.74518
9.74019
9.73512
9.75337
9.74848
9.74349
9. 73842
9.73325
9.70041 9.69495 9.68938 9.68371
9.71515 9.70988 9.70452 9.69906 9.69349
9.71910
9.70847
9.71383
9.70301 9.69744
9.72288 9.71761 9.71225
9.70122
9.70679
9.72650 9.72123 9.71587 9.71041 9.70484
9.72995
9.71932
9.72468
9.70829
9.71386
9.68204
9.69177 9.68599
9.69555 9.67615 9.67014
9.68010 9.67409
9.68388 9.66402
9.66797 63
68
9.75651
9.75162
9.74663
9.74156
9.73639
9.73112
9.72576
9.69339
9.70262
9.70592
9.75949
9.75460
9.74961
9. 74454
9.73937
9.73410
9.72874
65 20
9.68494 9.67882
9.68824 9.68212
9.69138 9.68526
9.69436 9.76233
9.75744
9.75245
9.74738
9.74221
9.73694
9.73158
9.76501
9.76012
9.75513
9.75006
9.74489
9.73962
9.73426
9. 76755
9.76266
9.75767
9.75260
9. 74743
9.74216 9.73680
9.76994
9.76505
9.76006
9.75499
9.74982
9.74455
9.73919
9.77218
9.76729
9.76230
9.75723
9.75206
9.74679
9.74143
9.77428
9.76939
9.76440
9.75933
9.75416
9.77624
9.77135
9.76636
9.76129
9.75612
9.77806
9.77317
9.76818
9. 76311
9.75794
9.77974
9.77485
9.76986
9.76479
9.78129
9.77640
9.77141
9.76634
9.75962
9.76117
9.78269
9.77780
9.77281
9.76774
9.76257
9.75730
9.75194
9.78396
9.77907
9.77408
9.76901
9. 76384
9.75857
9. 75321
9.78509
9.78020
9.77521
9.77014
9.76497
9.75970
9.75434
9.74889 9.74353
9.73250
9.73807
9.72683
9.75085 9.74549 9.74003 9.73446 9.72879 9.72301
9.75267
9.74185
9.74731
9.73628 9.73061 9.72483
9.75435 9.74899 9.74353 9.73796 9.73229 9.72651
9.75590 9.75054 9.74508 9.73951 9.73384 9.72806
9.74091
9.74218
75 9.78609
9.78120
9.77621
9.77114
9.76597
9.76070
9.78695
9.78206
9.77707
9.77200
9.76683
9.76156 9.75620 9.78768
9. 78279
9.77780
9.77273
9.76756
9.78828
9.78339
9.77840
9.77333 9.67816
9.78874
9.78385
9.77886
9.77379 9.76862
9.78908
9.78419
9.77920
9.77413
9.76896
9. 76369
9.78927
9.78438
9.77939
9.77432
9.78934
9.78445
9.77946
9.77439
9.76915
9.76922
9.76388
9. 76395
9.76229 9.75693
9.74590
9.75147
9.74023
9.72856
9.76289 9.75753 9.75207
9.74083
9.74650
9.72916
9. 76335 9.75799 9.75253 9.74696 9.74129 9.73551 9.72962
9.75833 9.75287 9.74730 9.74163 9.73585 9.72996
9.75852 9.75306 9.74749 9.74182 9.73604 9.73015
9.71271
9.71384
9.71749
9.72395 *** ***** IJIJA ZINNY 8828* *0828 **g** Congo MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-

KULE. -T be out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitu », anal, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 56
52
Hour
Declination.
48
Angle.
Hour
41
.
40
16
12
58° 3008
59'
THE 2009 ANG ATING 2*** 0 29 21228 OFAN 8
° 00′
3 00
59° 30'
56
60° 00'
44
60° 30'
45
61° 00'
]
43 52
6261° 30'
9.45973
9.46772
9.47544
'
42 48
62° 30'
9.45146 6463° 00'
44
40
63° 30'
64° 40
'
9.43402
9.44289 41
65° 00'
'
36
32
24
h.m.
20
O
16
£12
о
0 00
32 08
h.m.
01
OH2M2 00
1
0123
56
-∞
52
7.95995
0 00
7.95370
48
7.91733
44
7.91083
40
7.93420
36
7.92745
32
7.92054
28
7.91349 24
7.89893
20 20
7.89141
16
12
18
8. 25466
7.87586
8.24829
7.88372
8.24179
08
8. 23516
S. 43689
7.86781
8.22811
01
8. 22150
1 00
14
12
2000000
04
19989
PERRE +
8. 39
8.43064
9.42482
8.42427
8. 19237
8.41777
9.43287
8.41114
8. 18468
8.40439
8. 16877
8.39748
20
38
9.41529
8. 17682
In 9.42334
8.38323
37
9.40541
9.41346
36
35
8.36835
8.37587
9.38454
9.39517
21
9.39259
8.36066
9.40322
9.41108
9.40045
31
8.56167
9.39711
8.55542
8.35280
8.54905
23
9.40463
8.51255
33
8.53592
28
8.52917
27
8.52226 8.51521 26
9.35000 9.34264 9.33512
8.50801
32
9.29038 9.28302 9.27550
8.50065
9.48349
8.48544
8.49313
11-∞o
9.26781 9.25995 9.55496
8.34475
8.46953
36
9.56133
9.56758
8.47758
45
S. C3539
9.54724
S. 65211
9.55361
8.64577
40 10
9.55986
8.63927
44
8.63264
9.53925
8.62589
9.54562
8.61898 8.61193 9.55187
The 52 | 43
8.58985
8.60473
8.59737
1
9.53098
9.53735
9.54360
8.58216
42
8.57430
9.51591
9.52241
8. 73732
9.52878
8.73107
9.53503
8.72470
41
8.71820
52
9.50704 9.50041
8. 71157
8.56625
8.69791 8.70482
9.51354
10
9.51991
9.52616
8. 65323
S. 80398
'زان
9.47493
8.79773
9.48446
8.79136
9.49121
8.78486
9.49784
8.77823
9.50134
8.77148
9.51071
8.64518
9.51696
1 00
39
9.48168
9.48831
9.49481
8. 86165
9.50118
8.81903
8.85540
9.50743
38
8.81253
21
8.83590 8.82915
9.47180
9.47843
9.48493
8.91242
9.49130
8.89980
8.90617
9.49755
9.47469
8.89330
9.48106
8.88667 8.87992
9.48731
8.71184
36
8.71989
580
9.46406
8.95776
9.47043
S. 95151
9.47668
8.94511
7 28
8.93864
9.43990
9.44653 9.45303
9.45940
9.46565
9.44158
11
8.77756 8.90869
9.44795
8.99244
12
9.45420
8.98607
32
8.97957
12 33
16 34
9.42968
9.43605
12
8.82028
9.44230
9.03597
32
9.02972
9.41081
9.02335
9.41731
9.01085
36
9.42368
9.42993
16
9 9.39794
9.40444
9.41081
V.
13
9.41706
9.07018
9.19953
9.06393
9.16000
9.05756
8.88922 9.05106
9.18028
8.86562 9.25117 9.24331 9.23526
9.18833
22222 8.87367
14
9.25886
9.22313
9.10177
9.26638
9.08265
9.09552
9.23065
9.08915
9.23801
8.93017 8.92248
9.06927 9.06236 9.05531 9.04811 9.04075
9. 19619
9.20388
8.91462
9.21140
21
9.21876
9.16805
9.17591
9.18360
9. 19112
19848
10
8.90655
8.94383
8.95974
9. 9.20568
8.95188
28
9.37791 9.37116 9.36425 9.35720
9.22639 9.21964 9.21273
9.38454
9.39104
9.39741
9.40366
29
9.36395
9.37058 9.37708
37222 22282 97483 83822 22*23
8.99395
9.38345
8.97801
8.98609
36
9.38970
28
9.36252
9.36889
9.37514
27
9.34731
9.35368
9.35993
Finding of the Azimuth.
26
2222
9.00963
9.33142
9.01768
CHANG
9.03323
9.33779
9.02554
41
9.34404
40 25
9.31478
9.32115
9.32740
21
15
48
9.29735
9.13109
9.30372
9.12184
9.30997
9. 11817
23
9.11197
52
9.27905
9.10534
9.28542
9.09859 9.09168
9.29167
9.08463
9.25980
9.07743
9.26617
56
9.06255
9.07007
9.27212
21
9.03895
9.05486
9.23302
9.04700
9.23952
2.00 9.24589
9.25214
16
30
20 20
9.15843
9.09189
2229.15218
STONE
13859
9.14581
9.14664
9.13931
9.15450
08
9.13268
9.16219
9.12593
9.16971
9.11902
9.17707
9.11197
9.18427
9.08989
9.10477
9.19132
**
9.09741
9.19823 9. 20498
9.08220
9.21161
9.07434
9.21811
9.06629 9.22448
9.23073
16
19
20
17
9.12398
9. 18403
9. 13184
9.17778
13953
9.16491
GANG
9. 17141
*9. 24
14705
9. 15828
9. 9.15153
15441
9.14462
9. 9. 13757
9. 16161
9.12301
28
9.13037
9.16866
9.17557
9.11543
9.18232
9.10774
18895
9. 9.09988
32
9.19545
9.20182
9.20807
18
ON 8
G
8
3 00
56
36
174Angle° 00° 0030TABLE 87*S. 26091
7.90629
8.21445 8.20725
8.39043 8.69086 8.68366 8.67630 8.66878 8.66109
8.76457 8.75752 8.75032 8.74296 8.73544 8.72775
8.82224 8.81519 8.80799 8.80063 8.79311 8.78542
8.87301 8.86596 8.85876 8.85140 8.84388 8.83619
8.93201 8.92526 8.91835 8.91130 8.90410 8.89674
8.97294 8.96619 8.95928 8.95223 8.94503 8.93769
9.01022 9.00347 8.99656 8.98951 8.98231 8.97495 8.96743
9.04443 9.03768 9.03077 9.02372 9.01652 9.00916 9.00164
9.07002 8.76951
8.82833 8.88153
9.11593
9. 9.25330 9.24667 9.23992 9.23301 9.22596
9.27255 9.26592 9.25917 9.25226 9.24521
9.29085 9.28422 9.27747 9.27056 9.26351
9.30828 9.30165 9.29490 9.28799 9.28094
9.32492 9.31829 9.31154 9.30463 9.29758
9.34081 9.33418 9.32743 9.32052 9.31347
9.35002 9.34939 9.34264 9.33573 9.32868
9.35720 9.35029 9.34324
9.25631 9.24895 9.24143
9.27374 9.21544 9.20758
9.23374 9.22588 9.21783
9.25190
9.28370 9.27584 9.26779
9.29891 9.29105 9.28300
9.31347 9.30561 9.29756
9.32743 9.31957 9.31152
9.39131 9.38456 9.37765 9.37060 9.36340 9.35604 9.34852 9.34083 9.33297 9.32492
9.40418 9.39743 9.39052 9.38347 9.37627 9.36891 9.36139 9.35370 9.34584 9.33779
9.42318 9.41655 9.40980 9.40289 9.39584 9.38864 9.38128 9.37376 9.36607 9.35821 9.35016
9.43508 9.42845 9.42170 9.41479 9.40774 9.40051 9.39318 9.38566 9.37797 9.37011 9.36206
9.43315 9.42624 9.41919 9.41199
9.38942 9.38156 9.37351
9.45756 9.45093 9.44418 9.43727 9.43022 9.42302 9.41566 9.40814
9.46819 9.46156 9.45481 9.44790 9.44085 9.43365 9.42629 9.41877
9.46505 9.45814 9.45109 9.44389 9.43653 9.42901 9.42132
9.46802 9.46097 9.45377 9.44641 9.43889 9.43120
9.47755 9.47050 9.46330 9.45594 9.44842 9.44073
9.4936 9.48675 9.47970 9.47250 9.46514 9.45762 9.44993 9.44207
9.50928 9.50253 9.49562 9.48857 9.48137 9.47401 9.46649 9.45880 9.45094
9.52448 9.51785 9.51110 9.50419 9.49714 9.48994 9.48258 9.47506 9.46737 9.45951
9.53275 9.52612 9.51937 9.51246 9.50541 9.49821 9.49085 9.48333 9.47564 9.46778
9.54074 9.53411 9.52736 9.52045 9.51340 9.50620 9.49884 9.49132 9.48363 9.47577
9.54846 9.54183 9.53508 9.52817 9.52112 9.51392 9.50656 9.49904 9.49135 9.30627 9.29891 9.29139
9.32148 9.31412 9.30660
9.33604 9.32868 9.32116
D700 222** ***** 2000 



Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
Angle.
61° 00' 61° 30' 62°00'
[62° 30'
Page 175
63° 00'
56
63° 30'
52
64° 00' 64° 30' 65° 00'
88
48
h. mCOTONE 87
.
9.54846 9.54183 9.53508 9.52817 9.52112 9.51392 9.50656 9.49904 44
***** IZNIJ ZINNY 889** ***** gogoa aaogo A****
9.47544
86
83
9.48288
81
9.49008 47
78
9.49702
3 00
9.51964
48
9.51178
5 00
72
9.50373
71
54
49
52
9.55588 9.54868 ♡♡♡♡♡♡ 9.53380
9.62595 90 6 00
9.52611
9.62489
9.51825
9.56213 9.55493 9.54757
9.62429 85
9.51020
9.69731 9.69068 9.68393 9.67702 50
9.67163 9.66443 9.65707 9.64955 9.64186 9.63400
9.62356 84
9.54005
9.63161
9.52450
9.53236
9.65468 9.64716 9.63947
9.62270
9.51642
The 9.63075
9.56816 9.56096 9.55360
9.63861
9.54608
9.65382 9.64630
TABLE 9.53839
9.61930 80
9.53053
9.62057
9.62170 82
9.52248
9.62975
9.57398 9.56678 9.55942
V.
9.63761
9.55190
9.62862
9.57959 9.57239 9.56503 9.55751
9.54421
.
9.63648
9.62735
9.54982
9.63521
9.61790 79
9.54196 9.53391
9.61635
9.61467
9.59204 9.58499 9.57779 9.57043 9.56291
9.61285 76
9.55522
9.61089 9.54736
CAN GENE ON 22ND GEN 2000 22000
9.60879
9.53931 9.58323
55
9.59610 69
9.56043
9.60415
9.55257
9.59128
9.54452 56
64
9.56545
63
9.55759
9.57961
9.57028
9.57583
9.56242
9.54954 57
9.55437 58
9.55902 59
9.56348 60 4 00
9.66924 9.66204
9.66838 9.66118
Hour
Angle.
58° 30'
59° 00'
59° 30'
60° 00'
60° 30'
Finding of the AzimuthEETING
h. m.
2**2*
GI*28
87829
22222
***NG
BEING
2****
C*
O
3 00 45
4.00 60
12 63
20
28 67
32 68
36 69
40 70
44 71
48 72
52 73
56 74
5.00 75
76
08 77
78
79
80
81
82
83
84
40 85
86
87
5288
89
6.00 | 90
DONAA
ONO:7 B8500 SENG*
88588
2FN**
Pek*2
ZE***
***88
9.56758
9.56133
46
9.57502
9.56877
9.55496
9.56240
47
9.58222
9.57597
9.56960
48
9.58916
9.58291
9.57654
49
9.59587
9.58962
9.58325
50
9.60234
9.59609
9.58972
51
52
9.60859
9.61462
9.60234
9.59597
9.60837
9.60200
53
9.62044
9.61419
9.60782
54
9.62605
9.61980
9.61343
9.58322 9.57659 9.56984
9.58947 9.58284 9.57609
9.59550 9.58887 9.58212
9.60132 9.59469 9.58794
9.60693 9.60030 9.59355
9.49135 9.48349
9.55590 9.54927 9.54252 9.53561 9.52856 9.52136 9.51400 9.50648 9.49879 9.49093
9.56310 9.55647 9.54972 9.54281 9.53576 9.52856 9.52120 9.51368 9.50599 9.49813
9.57004 9.56341 9.55666 9.54975 9.54270 9.53550 9.52814 9.52062 9.51293 9.50507
9.57675 9.57012 9.56337 9.55646 9.54941 9.54221 9.53485 9.52733
9.56293
9.56918
9.57521
9.58103
9.58664
9.54132
9.53635 9.52828 53
55
9.63145
9.62520
9.61883
9.61233 9.60570
56
9.63666
9.63041
9.62404
9.61754
9.61091
57
9.64168
9.63543
9.62906
9.62256
9.61593
9.59895
9.60416
9.60918
9.64651
9.64026
9.63389
9.62739
9.62076
59
9.65116
9.64491
9.63854
9.63204 9.62541
9.65562
9.64937
9.64300
61
9.65991
9.65366
9.64729
9.63650 9.62987
9.64079 9.63416
62
9.66402
9.65777
9.65140
9.64490
9.66797
9.66172
9.65535
9.64885
64
9.67175
9.66550
9.65913
9.65263
65
9.67537
9.66912
9.66275
66
9.67882
9.67257
9.66620
9.68212
9.67587
9.66950
9.68526
9.67901
9.67264
9.68824
9.68199
9.67562
9.69108
9.68483
9.67846
9.69376
9.68751
9.68114
9.69630
9.69005
9.68368
9.69869
9.69244
9.68607
9.70093
9.69468
9.68831
9.70303
9.69678
9.69041
9.70499
9.69874
9.69237
9.70681
9.70056
9.69419
9.70849
9.70224
9.69587
9.71004
9.70379
9.69742
9.71144
9.70519
9.69882
9.71271
9.70646
9.70009
9.71384
9.70759
9.70122
9.71484
9.70859
9.70222
9.71570
9.70945
9.70308
9.59725 9.59020 9.58300 9.57564 9.56812
9.60227 9.59522 9.58802 9.58066 9.57314
9.61401 9.60710 9.60005 9.59285 9.58549 9.57797
9.61866 9.61175 9.60470 9.59750 9.59014 9.58262 9.57493 9.56707
9.62312 9.61621 9.60916 9.60196 9.59460 9.58708 9.57939 9.57153
9.62741 9.62050 9.61345 9.60625 9.59889 9.59137 9.58368 9.57582 9.56777
9.63827 9.63152 9.62461 9.61756 9.61036 9.60300 9.59548 9.58779 9.57993 9.57188 62
9.64222 9.63547 9.62856 9.62151 9.61431 9.60695 9.59943 9.59174 9.58388
9.64600 9.63925 9.63234 9.62529 9.61809 9.61073 9.60321 9.59552 9.58766
9.65625 9.64962 9.64287 9.63596 9.62891 9.62171 9.61435 9.60683 9.59914
9.65970 9.65307 9.64632 9.63941 9.63236 9.62516 9.61780 9.61028 9.60259
9.66300 9.65637 9.64962 9.64271 9.63566 9.62846 9.62110 9.61358 9.60589
9.66614 9.65951 9.65276 9.64585 9.63880 9.63160 9.62424 9.61672 9.60903
9.66912 9.66249 9.65574 9.64883 9.64178 9.63458 9.62722 9.61970 9.61201
9.67196 9.66533 9.65858 9.65167 9.64462 9.63742 9.63006 9.62254 9.61485 9.60699 9.59894 70
9.67464 9.66801 9.66126 9.65435 9.64730 9.64010 9.63274 9.62522 9.61753 9.60967 9.60162
9.67718 9.67055 9.66380 9.65689 9.64984 9.64264 9.63528 9.62776 9.62007 9.61221 9.60416
9.67957 9.67294 9.66619 9.65928 9.65223 9.64503 9.63767 9.63015 9.62246 9.61460 9.60655
9.68181 9.67518 9.66843 9.66152 9.65447 9.64727 9.63991 9.63239 9.62470 9.61684
9.68391 9.67728 9.67053 9.66362 9.65657 9.64937 9.64201 9.63449 9.62680 9.61894
9.68587 9.67924 9.67249 9.66558 9.65853 9.65133 9.64397 9.63645 9.62876 9.62090
9.68769 9.68106 9.67431 9.66740 9.66035 9.65315 9.64579 9.63827 9.63058 9.62272
9.68937 9.68274 9.67599 9.66908 9.66203 9.65483 9.64747 9.63995 9.63226 9.62440
9.69092 9.68429 9.67754 9.67063 9.66358 9.65638 9.64902 9.64150 9.63381 9.62595
9.69232 9.68569 9.67894 9.67203 9.66498 9.65778 9.65042 9.64290
9.69359 9.68696 9.68021 9.67330 9.66625 9.65905 9.65169 9.64417
9.69472 9.68809 9.68134 9.67443 9.66738 9.66018 9.65282 9.64530
9.69572 9.68909 9.68234 9.67543
9.69658 9.68995 9.68320 9.67629
9.59473 9.58668 66
9.59803 9.58998 67
9.60117 9.59312 68
75
9.71643
9.71018
9.70381
9.71703
9.71078
9.70441
9.71749
9.71124
9.70487
9.71783
9.71158
9.71802
9.71809
9.71177
9.71184
9.70521
9.70540
9.70547
9.66997 9.66277 9.65541 9.64789 9.64020 9.63234
9.69791 9.69128 9.68453 9.67762 9.67057 9.66337 9.65601 9.64849 9.64080 9.63294
9.69837 9.69174 9.68499 9.67808 9.67103 9.66383 9.65647 9.64895 9.64126 9.63340 9.62535
9.69871 9.69208 9.68533 9.67842 9.67137 9.66417 9.65681 9.64929 9.64160 9.63374 9.62569
9.69890 9.69227 9.68552 9.67861 9.67156 9.66436 9.65700 9.64948 9.64179 9.63393 9.62588
9.69897 9.69234 9.68559 9.67868 MARKING THE AZIMUTII.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-


RULE.-Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 3 00
Hour
45
Declination.
Angle.
9.35097
9.36213
Hour
9.37299
56
Angle.
44
70° 30'
70° 00'
69° 30'
69° 00'
68° 30'
68° 00'
67° 30'
67° 00'
]
66° 30'
66° 00'
65° 30'
65° 00'
9.34325
9. 35441
9.36527
9.37582
52
43
9.33526
9. 34642
9.35728
9.36783
9.39382 9.38354
9.37811
h.m.
9.40382
。 h.m.
COTONO 187829 9.41357
9.42307
9.43233
0
∞
-∞
∞-
01234
0 00
∞
0 00
∞
9.44137
∞-
9.45019
9.45880
9.46722
9.47544
9.39610
9.40585
9. 41535
9.42461
1
7.74334
7.75450
7.76536
7.83374
7.85117
7.82470
7.85959
7.86781
7.84256
7.77591
7.78619
7.80594
9.43365
7.81544
7.79619
04
9.44247
9.45108
9.45950
9.46772
9.38811
9.39786
9.40736
9.41662
13470
9.42566
8.14352
16877
16055
9.43448
8. 15213
9.44309
8. 9.45151
9.45973
12
52
44
40
8.04430
8.05546
08
8.06632
8.07687
8.08715
8.09715
11640
36
8. 10690
12566
8. 2
8. 32
28
24
20
16
12
22*NG GIANG OTONG 2**** G**NO OTONG 27000 270
48
42
9.32699
9. 33815
9.34901
9.36984 9.35956
9.37984
9.38959
9.39909
304
26313
8.27313
8.29238
9.40835
8.30164
8.31068
8.31950
8.32811
8.33653
8.34475
8. 28288
8. 22028
8. 23144
8. 24230
25285
9.41739
8. 9.42621
9.43482
9.44324
9.45146
44
41
9.31842
9.32958
9.34044
9.35099
9.36127
9.37127
9. 38102
9.39052
9.39978
8.34506
8.35622
8.36708
8.37763
38791
8.39791
8.40766
9.40882
8.41716
8.42642
8.43546
8.44428
8.45289
8.46131
8. 46953
9.41764
8. 9.42625
9.43467
9.44289
40
40
9.30955
9.32071
9.33157
9.34212
9.35240
9.36240
9.37215 9.38165
9.39091
9.40877 9.39995
8.44178
45294
9.41738
8.46380
9.42580
8.47435
8.48463
8. 49463
8.50438
8.51388
8.52314
8.54100 8.53218
8.54961
8.55803
8.56625
5
6
8. 5
9.43402
39 36
32
28
24
16
12
08
04
2.00
56
52
48
6849 44
The 40
8.52071
36
8.53187
8.55328
6
8.56356
8.57356
8.58331
8.60207
8.54273
8.61111
8.61993
8.63696
8.59281
8.64518
8.62854
32
28
24
20
20
16
19
18
08
17
04
16
1 00
15
2000 222** *27** SHOOT 10 COM00
8.58737
9.30035
8.59853
8.60939
8.61994
8.63022
8.65947
7
8.64022
8.66873
8.68659
8.61997
8.69520
8.70362
8.71184
7
8.67777 9.31151
9.32237
9.33292
9.34320
9.35320
38
9.29082
9.30198
9.31284
9.32339
9.33367
TABLE 9.34367
37
9.28094
9.29210
9.30296
8.64504
8.65620
8.66706
9.31351
8.67761
8.68789
100
8.69789
8.70764
8.71714
8.73544
9.32379
8.74426
8.75287
8.76129
8.76951
8.72640
9.33379
8
36
22*2* D**** ***
9.27070
9.28186
29272
9. 9.30327
9.31355
9.32355
9.34280 9.33330
35
9.26007 9.27123
9.28209
8.69581
8.70697
9.29264
8.71783
8.72838
8.74866 8.73866
8.75841
8.77717 8.76791
8.78621
8.80364
9.30292
1206
8. $8.82028
8.79503
9
9.31292
9.33217 9.32267
9.39075 9.38171 9.37245 9.36295
9.34143
34
9.24904
9.26020
9.27106
9.28161
9.29189
9.30189
9.31164
33
74115
9.23759
75231
10
8.76317
9.24875
8.77372
8.78400
8.79400
8.80375
8.81325
8.82251
8.83155
8.84037
8.84898
8.85740
8.86562
PERRE
10
8. 8. 9.25961
9.27016
9. 29044 9.28044
9.30019
9.31895 9.30969
9.33040 9.32114
9.39957
9.33681 9.32799
9.40818
9.41660
9.42482
9.39865
9.40707
9.41529
9.38877
9.39719
11
9.40541
9.37853
11
8.79324
9.38695
8.81465
8.78208
8.82493
8.83493
8.84468
8.85418
8.86344
8.87248
8.88130
8.80410
.
8.88991
8.89833
12
8.90655
9.39517
9.36790
9.37632
9.38454
10 CM CERER
45
44
43
42
41
40
88
****3.00
39
52 | 13
48
8.81936
32 38
8.83052
8.85193
12
8.86221
8.87221
8.89146
8.84138
8.90072
8.90976
8.91858
8.92719
8.93561
8.94383
56 14
8.88196
28 37
36
35
2****
9.35687
9.36529
9.37351
9.34542
9.35384
9.36206
32
31
9.21332
BOND
9.22569
15
9.23685
9.24771
13
8.85357
8.86473
8.87559
8.88614
8.89642
8.90642
8.91617
8.93493
16
9.25826
8.94397
8.95279
8.96982
8.92567
8.97804
8.96140
9.27854 9.26854
9.28829
9.30705 9.29779
9.31609
9.32491
9.33352
17
Finding of the Azimuth.
9.34194
9.35016
9.22448
9.23534
9.24589
9.25617
9.26617
9.27592
9.28542
8.88516
9.29468
8.89632
56
8.91773
9.30372
8.92801
8.93801
8.95726 8.94776
18
8.96652
8.98438
8.90718
8.99299
9.00141
9.00963
8.97556
14
9.31254
9.32115
9.32957
9.33779
30
9. 20045
9.21161
9.22247
19
9.24330 9.23302
9.25330
9.26305
9.27255
9.28181
9.29085
9.29967
8.91448
9.30828
8.92564
8.93650
8.94705
9.31670
8.99584
9.00488
9.01370
9.02231
9.03073
9.32492
9.03895
29
9. 18705
19821
9. 9.20907
9.21962
9.22990
9.23990
9.24965
9.25915
9.26841
9.27745
8.94182
9.03222
9.04104
9.04965
9.05807
9.06629
9.28627
9.29488
8.95298
8.96384
9.30330
9.21152
28
9. 17309
9.15853
18425
9.16969
9. 19511
9.20566
9.21594
9.06664
9.07525
9.08367
9.09189
8.96742
9. 22594
8.97858
9.23569
8.99999
9.24519
9.01027
8.98944
9.25445
9.26349
9.27231
9.28092
9.28934
9.29756
9.05406
9.06356
9.07282
9.09068
9.18055
9.09929
9.10771
9.11593
9. 19110
9. 20138
9.21138
9.08186
8.99146
9.22113
9.00262
01348
9.02403
9.23063
9.03431
9.04431
9.23989
9. 9.24893
9.25775
9.26636
9.27478
9.28300
27
26
9.14332
9. 15448
9. 16534
9.17589
18617
9. 19617
9. 9.01412
20592
9.02528
9.03614
9.04669
9.05697
9.06697
9.08622
9. 9.09548
9. 10452
9.11334
9.12195
9.13037
9. 13859
9.07672
9.21542
9.22468
9.23372
9. 24254
9.25115
9.25957
9.26779
25
9.12743
9. 13859
9. 14945
9. 16000
9. 17028
9.18028
9.19003
9.03553
9.04669
9.05755
9.06810
9.07838
9.08838
9.09813
9.10763
9.11689
9. 12593
9.13475
9.15178
9. 19953
9.16000
29. 14336
2220
9.20879
9.21783
9.22665
9.23526
9.24368
9.25190
24
9. 11079
9.12195
9. 13281
9. 14336
9. 15364
9. 16364
9. 17339
9. 18289
9. 19215
9. 20119
9.05581
9.21001
24
9.06697
21
9.07783
9.08838
9.09866
9.10866
9. 11841
12791
13717
21
9.21862
9. 14621
9.15503
9. 16364
9.17206
9.18028
9. 9. 9.22704
9.23526
23
9.09336
9.10452
9. 11538
28 22
9. 12593
9. 13621
9. 14621
9. 15596
9. 16546
9.17472
18376
9. 19258
9.07506
9.08622
9.09708
9.10763
11791
12791
9. 9. 14716
9. 9. 32 | 23
9.13766
9. 15642
9. 16546
18289
9. 20119
9. 19131
9. 9. 17428
9. 19953
9.20961
9.21783
8708*
** *****
34
36 24
33
08 | 32
31
30
29
28
44 26
25
40
8**
*
2.00
17671° 00'
71° 30'
v8. 8. 8. 8.97708 8.96733 8.95733
8.98658
9.01392 9.00442 8.99467 8.98467 8.97439
9.02318
9.03002 9.02027
9.05782 9.04878 9.03952
**** ***N9. 9.33944
9.34826
9.35929 9.35047
9.36992 9.36110
9.38016 9.37134
9.39004
9.35206
9.36230 9.35304 9.34354
9.38122 9.37218
9.35342
9.36292
9.38610

Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
Angle.
68° 30'
6 00
69° 00' 69° 30' 70° 00' 70° 30' 71° 00' 71° 30'
89
28
O
79
FOTO h.m.
77
9.45019 9.44137 9.43233 9.42307 9.41357
75 5 00
9.40382 9.39382 74
*** ****8 IZNIH ZINNY 8828* 23828 ***** Can AAAAA
9.37299
4 00
9.36213 9.35097
12
9.38043
3 00
9.36957 9.35841
8889.50148 90
46
9.38354
9.41126 9.40126 9.39098
9.41846 9.40846 9.39818
9.42540 9.41540 9.40512
9.43211 9.42211 9.41183
9.38763
9.51238 9.50122
9.37677 9.36561
9.51257 9.50141
9.51264
9.39457
9.54433
47
9.55433
9.40128
9.42060
9.50088 87
85
9.39042 9.37926
9.49982 9.49909 84
9.49723 82
49
The 9.50042
9.41830
9.51204
9.38573
9.42455
9.51158
9.49610 81
9.39801
9.49483 80
52
9.51098
9.40383
9.50726
53
9.50599
9.49343
9.40944
9.50459
9.47744
54
9.46769
9.51545
9.45769
9.48642
9.48265
TABLE 78
9.47290
9.50304
55
9.46290
9.50136
73
9.48767
9.48432
9.46792
9.47792
9.47447 69
9.50200 9.49954
9.48275
9.49250
9.49085
9.53927 9.52927 9.51899 9.50844
9.47275
9.58564 9.57682 9.56778 9.55852 9.54902
9.46247
9.58760 9.57878 9.56974 9.56048 9.55098
9.58942 9.58060 9.57156 9.56230 9.55280
9.59110 9.58228 9.57324 9.56398 9.55448
9.59265 9.58383 9.57479 9.56553 9.55603
9.59405 9.58523 9.57619 9.56693 9.55743 9.54768 9.53768 9.52740 9.51685
9.59532 9.58650 9.57746 9.56820 9.55870 9.54895 9.53895 9.52867 9.51812
9.59645 9.58763 9.57859 9.56933 9.55983 9.55008 9.54008 9.52980 9.51925
9.59745 9.58863 9.57959 9.57033 9.56083 9.55108 9.54108 9.53080 9.52025
9.59831 9.58949 9.58045 9.57119 9.56169 9.55194 9.54194 9.53166 9.52111
9.59904 9.59022 9.58118 9.57192 9.56242 9.55267 9.54267 9.53239 9.52184
9.59964 9.59082 9.58178 9.57252 9.56302 9.55327 9.54327 9.53299 9.52244
9.60010 9.59128 9.58224 9.57298 9.56348 9.55373 9.54373 9.53345 9.52290
9.60044 9.59162 9.58258 9.57332 9.56382 9.55407 9.54407 9.53379 9.52324
9.60063 9.59181 9.58277 9.57351 9.56401 9.55426 9.54426 9.53398 9.52343
9.60070 9.59188 9.58284 9.57358 9.56408
9.53405 9.52350
9.50171
9.50665 9.49715
9.48831
9.48740
9.49917
9.47740
58
9.46712
9.48563
9.45657
9.51732 V.
9.51689
9.44571 9.43455
9.53707 9.54692 9.53717
9.47163
9.46865 68
59
9.48279
9.50161
9.45876 9.49186
9.49365
9.47158
9.48186
9.49067
9.52448
9.50420
9.46103
9.50506 9.45017
Finding of the Azimuth.
9.51448
9.43901
9.53423
9.53125
60
9.48615
9.49615
9.52811
9.51506
9.47587
9.52481
9.46532
9.46992
9.45446
9.48078
9.49026
9.50026
9.49133
9.50161
9.47998 9.46943
9.51161
9.45857
9.52136
9.45514 64
9.49421
9.46630
9.50421
9.48393
62
[Page 9.47716
9.47338
9.48771
2008
9.46252
9.49799
9.44330 61
9.44741
9.45136
9.50799
9.51774
63
177
Hour
Angle.
65° 00'
65° 30' 66° 00' 66° 30'
67° 00'
67° 30'
68° 00'
2**** ***NG OTONG 2006 AND OTH20 2200 4 00
6 00
FOR 2ND GEN STONE 22ND GEN 8*ONG 2*** *08
h. m.
3 00 45
16 49
71
72
73
5 00 75
77
80
89
90
888*** ****8 IIII2 22222 88288 20828 ooooo aaOCO AARAA
O
46
9.47544
9.48288
9.46722
9.45880
9.47466
9.46624
47
9.49008
9.48186
9.47344
48
9.49702
9.48880
9.50373
9.49551
9.48038
9.48709
50
9.51020
9.50198
9.49356
9.51642
9.50820
9.49978
9.52248
9.51426
9.50584
53
9.52828
9.52006
9.51164
54
9.53391
9.52569
9.51727
9.45763 9.44881 9.43977 9.43051 9.42101
9.46483 9.45601 9.44697 9.43771 9.42821
9.47177 9.46295 9.45391 9.44465 9.43515
9.47848 9.46966 9.46062 9.45136 9.44186
9.48495 9.47613 9.46709 9.45783 9.44833 9.43858 9.42858
9.40775 9.39689
9.49117 9.48235 9.47331 9.46405 9.45458 9.44483 9.43483
9.41400 9.40314
9.49723 9.48841 9.47937 9.47011
9.46061 9.45086 9.44086 9.43058 9.42003 9.40917
9.50303 9.49421 9.48517 9.47591 9.46643 9.45668 9.44668 9.43640 9.42585 9.41499
9.50866 9.49984 9.49080 9.48154
9.47204 9.46229 9.45229 9.44201 9.43146 9.38371 9.37255 48
9.39198
9.53931
9.53109
9.52267
9.54452
9.53630
9.52788
9.54954
9.54132
9.53290
58
9.55437
9.54615
9.53773
59
9.55902
9.55080
9.54238
9.51406 9.50524 9.49620 9.48694
9.51927 9.51045 9.50141
9.52429 9.51547
9.52912 9.52030 9.51126
9.53377 9.52495 9.51591
9.49215
9.50643
9.49717
9.44741 9.43686 9.42600 9.41484
9.45262 9.44207 9.43.21 9.42005
9.45764 9.44709 9.43623 9.42507
9.45192 9.44106 9.42990
9.56348
9.55526
9.54684
9.56777
9.55955
9.55113
62
9.57188
9.56366
9.55524
9.54663
63
9.57583
9.56761
9.55919
9.55058
64
9.57961
9.57139
9.56297
9.55436
9.53823 9.52941 9.52037 9.51111
9.54252 9.53370 9.52466 9.51540 9.50590
9.53781 9.52877 9.51951 9.51001
9.54176 9.53272 9.52346 9.51396
9.54554 9.53650 9.52724
9.58323
9.57501
9.56659
9.55798
9.54916
9.54012 9.53086
66
9.58668
9.57846
9.57004
9.56143
9.55261
9.54357
9.53431
9.58998⚫
9.58176
9.57334
9.56473
9.55591
9.54687
9.53761
68
9.59312
9.58490
9.57648
9.56787 9.55905
9.55001
9.54075
69
9.59610
9.58788
9.57946
9.57085 9.56203
9.55299
9.54373
9.49478 9.48423
9.51836 9.50836 9.49808 9.48753
9.52150 9.51150 9.50122
65
9.47337 9.46221 66
9.47667 9.46551 67
9.47981
70
9.59894
9.59072
9.58230
9.60162
9.59340
9.58498
9.60416
9.59594
9.58752
9.60655
9.59833
9.58991
9.60879
9.60057
9.59215
9.57369 9.56487 9.55583 9.54657
9.57637 9.56755 9.55851
9.57891 9.57009 9.56105
9.58130 9.57248 9.56344
9.58354 9.57472 9.56568
9.52732
9.54925 9.53975 9.53000
9.55179 9.54229 9.53254
9.55418 9.54468 9.53493
9.55642 9.50704 9.49649
9.52000 9.50972
9.52254 9.51226
9.52493 9.51465
9.52717 9.61089
9.60267
9.59425
9.61285
9.60463
9.59621
9.61467
9.60645
9.59803
9.61635
9.60813
9.59971
9.61790
9.60968
9.60126
9.61930
9.61108
9.60266
9.62057
9.61235
9.60393
9.62170
9.61348
9.60506
9.62270
9.61448
9.60606
9.62356
9.61534
9.60692
9.62429
9.61607
9.60765
9.62489
9.61667
9.60825
9.62535
9.61713
9.60871
9.62569
9.61747
9.60905
9.62588
9.62595
9.61766
9.60924
9.61773
9.60931
9.54123 9.53123 9.52095 9.51040
9.54305 9.53305 9.52277 9.51222
9.54473 9.53473 9.52445 9.51390
9.54628 9.53628 9.52600
9.50410 9.49324
9.50634 9.49548
9.49758
70
9.47715 71
9.47969 72
9.48208
9.48838 76
9.49020
9.49188 9.50839
9.50939
9.51025
9.49823 83
MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-



the azimuth is marked from the pore of the same name
63355°—17——12

RULE. Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 200
Hour
222Declination.
Angle.
ONE ON ONE 2002 2000 C CUNG 22000 228
Hour
.
The Angle.
V.
78° 00'
77° 30′
77° 00'
76° 30'
76° 00'
75° 30'
75° 00'
74° 30'
]
74° 00'
′
00'
TABLE 72°3 00
45
9. 16737
9. 18483
9. 20158
9.21768
9.24809 9.23317
9.26249
9.30283 9.28983 9.27639
9.31543
9.32763
9.33947
。 h. m.
h, M.
9.35097
45
41
0 0 00
-∞
-∞
01234
80 00
9. 15965
O1234
9. 17711
9.19386
9.20996
7.55974
7.57720
7.59395
7.61005
7.62554
7.64046
7.65486
7.66876
7.70780
9.22545
7.68220
7.72000
7.74334
7.69520
7.73181
9.24037
9.25477
9.26867
9.28211
9.29511
9.30771
9.31991
9.33175
9.34325
44
43
8.02096
S. 8.00876
15166
9. 7.99616
7.87816
7.89491
7.91101
7.92650
7.94142
7.95582
12
7.96972
7.86070
03280
8.20878
9. 22028
16912
9.18587
17214
9.20197
8. 18474
9.21746
8. 8. 19694
15914
9.23238
9.24678
9.26068
9.27412
9.28712
9.29972
8.05414
8.07089
8.08699
8. 10248
8. 11740
8. 13180
8.14570
8.03668
9.31192
9.32376
9.33526
43
42
9.14339
9. 16085
9.17760
9.19370
9.20919
9.22411
9.23851
9.25241
9.26585
9.27885
8. 16146
8.17892
8. 19567
8. 21177
8.22726
8. 24218
8.25658
8. 27048
8.28392
8.30952
9.29145
33356
34506
8.29692
9.30365
8. 8.32172
S. 9.31549
9.32699
42
41
9. 13482
9.15228
9.16903
28
9.18513
9.20062
9.21554
9.22994
9.24384
9.25728
9.28288 9.27028
9.29508
9.30692
9.31842
41
40
9.12595
9. 14341
9.16016
20
5
8.25818
8.27564
8. 29239
8.30849
8.32398
8.33890
8.35330
8.36720
8.38064
8.39364
8.43028
9. 8. 41844
44178
17626
5
36
8. 167∞ S. 40624
9. 19175
9. 20667
9.22107
9.23497
9.24841
9.26141
9.27401
9.28621
9.29805
9.30955
40 | 40
39
9.11675
9. 13421
GENG
REDRE
40
38
9.10722
6
8.35457
9. 12468
8.37132
8.38742
8.40291
8.41783
44613
8.33711
8.45957
8.43223
8.48517
8. 8.50921
8.47257
8.52071
S. 49737
9.14143
9.15096
9.16706
9.18255
9.19747
9.21187
9.22577
9.23921
9.25221
9.26481
9. 27701
9.28885
9.30035
39
8
48
9.15753
40377
9. 17302
8. 8. 42123
8.43798
8.45408
8.46957
8.48449
8.49889
8.51279
8.52623
8.55183
58737
7
37
8.56403
∞
9
8.57587
S. 8.53923
9.09734
9. 11480
13155
9. 9.14765
36
9.08710
9. 10456
9. 12131
9. 13741
35
9.07647
9.09393
9.11068
9.12678
9.06544 34
32
8
8. 46144
8.47890
8.49565
8.51175
8.54216 8.52724
8.55656
8.57046
8.58390
8.62170
9.08290
8.60950
8.63354
8. 64504
BOND
9.09965
8.59690
9.11575
00
9. 13124
1 OTON
33
9.05399
9.07145
9.08820
9.10430
32
9.04209
9.05955
9.07630
9.09240
9.10789
11979
9.14227
9.15290
9. 16314
9
8. 51221
8.52967
8.54642
8.56252
8.57801
8.59293
8.60733
8.62123
8.63467
8.66027
9. 15719
8. 68431
8.64767
8.69581
8.67247
9. 16782
9.17806
9. 18794
9.14616
9. 9.20234
9.21624
9.22968
9.24268
9.25528
9.26748
9.27932
9.29082
38
9. 19246
9.18222
9.20636
9.21980
9.23280
10
8.55755
8.57501
8.59176
8.60786
8.62335
8.63827
8 65267
8.66657
8.68001
8.70561
9.24540
8.72965
8.69301
8. 71781
S. 74115
9.25760
9.26944
10
9.28094
37
9. 19612
9.22256 9.20956
9.23516
9.24736
9.25920
9.27070
36
9. 17159
9. 18549
9.19893
9.21193
9.22453
9.23673
9.24857
11
11
8.78208.
8.59848
8.61594
8.63269
8.64879
8.66428
9.26007
8.67920
8.69360
8.70750
8. 72094
8.74654
8.77058
35
8.75874
22220 GEN8
8.73394
GENRE
18000
3.00
9. 12281
9. 16056
9. 13721
9. 17446
9.18790
9.20090
9.21350
9.22570
9.23754
9.24904
8.63576
34
8.65322
8.66997
8.68607
8.70156
8.73088
12
8.74478
8.75822
8.78382
8.80786
8.71648
8.79602
8.81936
16
12
9. 8.77122
16301
9. 17645
9.18945
9.20205
9.21425
9.22609
9.23759
9. 15111
9. 16452
9.17752
9. 19012
9.20232
9.21416
52
8.66997
9.22569
8.68743
8.70418
8.72028
8.73577
8.75069
8.76509
8.77899
8.79243
81803
8.83023
84207
13
31
8. 8. 85357
13
8. 9.02972
9.04718
8.80543
9.06393
9.08003
9.09552
9. 11044
9. 12484
9.13874
9. 15218
9.16518
9. 17778
9.18998
9.20182
9.21332
00
30 2 9.01685
14
8.70156
8.71902
8.73577
8.75187
8.76736
8.78228
8.79668
8.81058
8.82402
S. 84962
8.87366
9.03431
8.86182
8.88516
14
9.05106
9.06716
8.83702
9.08265
9.09757
9. 11197
9.12587
9. 13931
15231
9. 9. 16491
9.17711
9.18895
9.20045
8000
33
1 00
15
S. 730SS
8.74834
8.76509
8.78119
8.79668
8.81160
08 | 32
8.82600
8.83990
8.85334
8.87894
31
90298
30
29
8. 89114
S. 8.91448
8.86634
15
9.00345
9.02091
9.03766
9.05376
9.06925
9.08417
9.09857
9. 11247
9. 12591
9. 13891
28
98949
8. 9.00695
9.02370
9.03980
9.05529
9.07021
9.08461
04
75822
9.09851
16
8.77568
8.79243
8.80853
8.82402
8.85334 8.83894
8.86724
8.88068
8.90628
8. 8. 93032
8.89368
8.94182
16
8.91848
9. 11195
9. 12495
9.15151
9. 9. 16371
9.17555
9.18705
56 29
9. 14975
9. 16159
9. 17309
28
17
8.78382
8.80128
8.81803
8. 83413
8.84962
8.86454
8.87894
8.89284
8.90628
8.93188
27
95592
8.91928
8.91108
8.96742
08❘ 17
S. 8.97493
8.99239
9.00914
9.02524
9.04073
9.05565
9.07005
9.08395
9.09739
9. 11039
9. 12299
9. 13519
9.14703
9.15853
18
8. S0786
8. 82532
8.84207
8.85817
8.87366
8.88858
8.90298
8.91688
8.93032
8.95592
8.96812
8.97996
27
99146
26
8. 12 18
25
94332
8.94383
8.95972
8. 8.97718
8.96129
8.99393
9.01003
9.02552
9.04044
9.06874 9.05484
9.08218
9.09518
9.10778
9. 11998
9. 13182
9.14332
8.83052
44 26
8.84798
8.86473
8.88083
8.89632
8.91124
8.92564
8.93954
8.97858
19
8.99078
8.95298
9.00262
9. 01412
19
8.97804
8.96598
8.99414
9.00963
9.02455
9.03895
9.05285
9.06629
9.07929
9.09189
9.10409
11593
9. 9. 12743
25
24
23
8.85193
8.94465 8.92719
8.86939
8.88614
8.90224
8.91773
8.93265
8.94705
8.96095
8.97439
8.99999 8.98739
9.02403
20
9.03553
29.01219
20
22222
8.90892 8.89146
8.96140
8.97750
8.99299
9.00791
9.02231
9.03621
9.04965
9.06265
9.07525
9.08745
9.09929
9.11079
24
8.87221
8.94397
8. 88967
8.90642
8.92252
8.93801
8.95293
21
8.96733
8.98123
8.99467
9.02027
9.03247
8.96007
9.04431
9.05581
21
21
9.00767
8.97556
8.99048
9.00488
9.01878
9.03222
9.04522
9.05782
9.07002
9.08186
9.09336
32 23
8.94177 8.92567
8.95726
8.97218
8.98658
9.00048
9.02692 9.01392
9.03952
9.05172
9.06356
9.07506
28 | 22
ON
OOND
*****
*
2.00
52
48
17871° 30'
72°3073°00'
73° 30'
*899 222ND 8.04430
8. 7.98316
8. *228.92722 8.90976
13755
9. 14911
13471
9. Finding of the Azimuth** 2ONKO OH 
Declination.
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
Hour
Angle.
75° 00' 75° 30'
179
76° 00'
[Page 76° 3056
'
89
52
h.m.
O
48
44
9.31543 9.30283 9.28983 9.27639 9.26249 9.24809 9.23317
40
9.21768
36
9.20158
32
9.18483
28
***** 9. 22512
9.16737
24
9.20902
20
45 | 3 00
16
9.19227 9.17481
78 12
08
04
9.23232
46
9.21622
5 00
9.19947 9.18201
04
56
52
9.23926
48
9.22316 9.20641
44
9.18895
08
9.24597
47
70 40
9.22987 9.21312
36
32
9.19566
28
49
24
48
9.29725.
20
9.28285
12
9.26793
16
9.23634
9.25244
12
9.30350
08
9.21959 9.20213
9.28910 9.27418
04
60 4.00
16
56
9.25869
52
9.24259
48
44
9.30953
The 51
9.29513 9.28021
40
9.26472
36
32
50
9.23187 9.21441
28
9.32096 9.30656 9.29164
20
24
9.26005
52
85828
9.23769 9.22023 53
9.31788 90 6 00
9.33508 9.31762
9.33527 9.41781
9.33534
87
9.24330
86
9.22584 TABLE 84
54
83
82
9.31196
81
9.29704
80
9.28155 9.26545
9.32869
9.24870
9.31717
9.34544
9.23124 79
55
77
76
75
9.30225
9.32028 9.30282
9.28676
9.32224 9.30478
9.32406 9.30660
9.30828
9.30983
9.25391
9.27066
9.32729
9.34404
9.23645
9.37563 9.36014
56
9.39055
V.
9.30727
9.41300 9.39860 9.38368 9.36819 9.35209
9.27568
9.29178
9.32574
9.34249
9.25893
9.37408 9.35859
9.38900
9.40340
9.34142
57
9.32702
9.40495
9.31210
9.34081
9.29661
9.37240 9.35691
9.28051 9.26376
9.38732
Finding of the Azimuth.
9.34607
9.40172
9.33167
9.38354 9.36862 9.35313 9.33703
9.31675
9.38550 9.37058 9.35509 9.33899
9.30126
9.39990
9.39794
74
9.35053
9.25095 59
9.33613
9.30072
9.32121
9.31818
9.33493
73
9.29848
9.35482
9.31594
9.32550
9.34042
9.33269
9.25541
72
9.29609
9.35893
9.31355
9.34453
9.33030
9.36189 9.34640
61
9.36288
71
9.34848
9.29355
9.31101
9.26381
9.32776
9.29087
9.36666
62
9.35226
9.30833
9.32508
9.33734 9.32185 9.30575
9.35667 9.34118
9.35935 9.34386
9.28522
69
9.26776
67
63
66
9.27516 65
9.27861
9.28191
9.28505 68
9.28803
9.28900
9.32547 9.30937 9.29262
9.27154
9.32892 9.31282 9.29607
9.33222 9.31612 9.29937
9.33536 9.31926 9.30251
9.33834 9.32224 9.30549
9.34096
9.39584 9.38144 9.36652 9.35103
9.39762 9.38418 9.37028 9.35588
64
Hour
Angle.
71° 30'
72° 00' 72° 30'
73° 00'
73° 30' 74° 00' 74° 30'
7° 00' 77° 30' 78° 00'
h.m.
о
3 00
4 00
04
08
32
48
52
5 00
32
36
COLON CONG GIANG ITONG 2**** GONG SONO CHONG 2018
20
40 55
44
20❘ 65
24
28
44 71
72
08❘ 77
78
83
85
89
6 00 90
888*** ****8 IIIIN ZINNY 8828* *0*20 Jogo fo☺☺* *****
45
9.35097
9.33947
9.32763
46
9.35841
9.34691
9.33507
9.36561
9.35411
9.34227
9.37255
9.36105
9.34921
9.37926
9.36776
9.35592
9.38573
9.37423
9.36239
9.39198
9.38048
9.36864
9.39801
9.38651
9.37467
9.40383
9.39233
9.38049
54
9.40944
9.39794
9.38610
9.41484
9.40334
9.39150
9.42005
9.40855
9.39671
9.42507
9.41357
9.40173
58
9.42990
9.41840
9.40656
9.43455
9.42305
9.41121
9.39901
9.32925
9.33486
9.37930 9.36670 9.35370 9.34026 9.32636
9.38451 9.37191 9.35891 9.34547 9.33157
9.38953 9.37693 9.36393 9.35049 9.33659 9.32219
9.39436 9.38176 9.36876
9.38641 9.37341
9.32287 9.31027 9.29727 9.28383 9.26993 9.25553 9.24061
9.33007 9.31747 9.30447 9.29103 9.27713 9.26273 9.24781
9.33701 9.32441 9.31141 9.29797 9.28407 9.26967 9.25475
9.34372 9.33112 9.31812 9.30468 9.29078 9.27638 9.26146
9.35019 9.33759 9.32459 9.31115
9.35644 9.34384 9.33084 9.31740
9.36247 9.34987 9.33687 9.32343
9.36829 9.35569 9.34269
9.37390 9.36130 9.34830
9.31535 9.30095 9.28603
9.24862
9.27054 9.25444
9.27615 9.22584 9.20838
9.35532
9.35997
9.43901
9.42751
9.41567
9.40347 9.39087 9.37787
9.36443
9.44330
9.43180
9.41996
9.40776
9.39516
9.38216
9.36872
62
9.44741
9.43591
9.42407
9.41187
9.39927 9.38627
9.37283
63
9.45136
9.43986
9.42802
9.41582
9.40322
9.39022
9.37678
64
9.45514
9.44364
9.43180
9.41960
9.40700
9.39400
9.38056
9.28516 9.26841
9.30572 9.28962 9.27287
9.31001 9.29391 9.27716
9.32961 9.31412 9.29802 9.28127
9.33356 9.31807 9.30197
9.24147
9.24630
9.25970
9.45876
9.44726
9.43542
9.42322 9.41062
9.46221
9.45071
9.43887
9.42667 9.41407
9.46551
9.45401
9.44217
9.42997 9.41737
9.46865
9.45715
9.44531
9.43311
9.42051
9.47163
9.46013
9.44829
9.43609
9.42349
9.41049
9.47447
9.46297
9.45113
9.43893 9.42633
9.41333
9.39989
9.47715
9.46565
9.45381
9.44161
9.42901
9.41601
9.40257
9.47969
9.46819
9.45635
9.44415 9.43155
9.48208
9.47058
9.45874
9.48432
9.47282
9.46098
9.41855
9.44654 9.43394 9.42094 9.40750
9.44878 9.43618 9.42318 9.40974
9.40511
9.40107 9.38763 9.37373 9.35933 9.34441
9.40437 9.39093 9.37703 9.36263 9.34771
9.40751 9.39407 9.38017 9.36577 9.35085
9.39705 9.38315 9.36875 9.35383
9.38599 9.37159
9.38867 9.37427
9.39121 9.37681
9.39360 9.37920 9.36428 9.34879
9.48642
9.47492
9.46308
9.48838
9.47688
9.46504
9.45088 9.43828 9.42528 9.41184
9.45284 9.44024 9.42724 9.41380
9.49020
9.47870
9.46686
9.45466
9.49188
9.48038
9.46854
9.45634
9.49343
9.48193
9.47009
9.44206 9.42906
9.44374 9.43074 9.41730
9.45789 9.44529 9.43229
9.41562
9.41885 9.49483
9.48333
9.47149
9.49610
9.48460
9.47276
9.49723
9.48573
9.47389
9.49823
9.48673
9.47489
9.49909
9.48759
9.47575
9.49982
9.48832
9.47648
9.46428 9.45168
9.43868
9. 42524
9.50042
9.48892
9.47708
9.46488
9.45228
9.43928
9.42584
9.50088
9.48938
9.47754
9.46534
9.45274
9.43974
9.50122
9.48972
9.47788
9.46568 9.45308
9.44008
9.50141
9.50148
9.48991
9.48998
9.47805
9.47814
9.46585 9.45325
9.46594 9.45334
9.44025
9.44034
9.45929 9.44669 9.43369 9.42025 9.40635 9.39195 9.37703 9.36154
9.31123
9.46056 9.44796 9.43496 9.42152 9.40762 9.39322 9.37830 9.36281 9.34671 9.32996 9.31250
9.46169 9.44909 9.43609 9.42265
9.40875 9.39435 9.37943 9.36394 9.34784 9.33109 9.31363
9.46269 9.45009 9.43709 9.42365 9.40975 9.39535 9.38043 9.36494 9.34884 9.33209 9.31463
9.46355 9.45095 9.43795 9.42451 9.41061 9.39621 9.38129 9.36580 9.34970 9.33295 9.31549
9.41134 9.39694 9.38202 9.36653 9.35043 9.33368 9.31622
9.41194 9.39754 9.38262 9.36713 9.35103 9.33428 9.31682
9.42630 9.41240 9.39800 9.38308 9.36759 9.35149 9.33474 9.31728
9.42664 9.41274 9.39834 9.38342 9.36793 9.35183
9.42683 9.41293 9.39853 9.38361 9.36812 9.35202
9.42690 DONAT 38588 OUNCE 4O788 RENRAT PONKO 27*** *MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-
the azimuth is marked iгom the pole of the same name



RULE.-Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page 45 Hour
00
Angle
Declination.
44
43
Hour
42
8.80708
Angle.
8.85301 8.81535
8.86100 8.82334
8.86872 8.83106
84° 00' 4° 30'
83° 30'
83° 00'
'
808. 84474
81° 30788.79851 41
'
'
00'
8.83617
'
8.82730 8.78964 40
]
818.95163 8.92377 8.89396 8.86193
787980° 30° 30'
8.96050 8.93264 8.90283 8.87080
8.96907 8.94121 8.91140 8.87937
8.97734 8.94948 8.91967 8.88764
8.98533 8.95747 8.92766 8.89563
8.99305 8.96519 8.93538 8.90335
9.01919
'
79° 30'
9.04382
'
9.06710
9.08916
9. 11012
9. 13009
9. 14915
16737
9. 9. 01147
9.03610
9.05938
9.08144
9. 10240
h.m.
O
h.m.
9.12237
28ONE 9.14143
9.15965
8.78044 39
00
0123
8.81810
0 00 0
TW3TO 8.77091 -∞
0 -∞
38
-∞
∞
∞
0-1
8.80857
8.85273
8. 84320
8.88476
1
7.22343
7.26109
7.32775
8.87523
7.29572
7.43619 7.55974
08
8.79869 8.76103 37
8.78845 8,75079 36
7.54152
8.82308 7.50249
8.83332
7.52246
7.48153 86535
8. 8.89516
8.90504
8.91457
85511
7.86070
8. 7.84248
2
8. 88492
7.82342
7.52439
7.56205
7.59668
7.62871
8.74016 35
8.81245 8.03668
8.77782
7.99940
8.84448
8.87429
8.01846
7.80345
7.97943
7.45947
7.78249 7.76043
7.95847
34
8.72913
8.76679
33
7.93641
7.70037
7.73803
7.77266
7.80469
8.71768
8.75534
8.06119
8.08325
08
32
S. 16146
8.70578
8. 10421
14324
8.03791
4
8. 12418
8. 8.01328 7.98714
8.74344
01
31
8.69341
8. 73107
2 00
8.68054 30 8.71820
8.84253 7.82515
8.83345 8.80142
7.86281
7.89744
7.95928 7.92947
4
56
52
48
8.66714 29
8.63862 8.70480
8. 73943
8.69084
8.72547
8.71094 8.67631
8.74297
44
26
7.92187
62341
7.95953
7.99416
8.02619
8.05600
669961
&
8.08386
8. 11000
8. 13463
17997
23996
S. 8. 8.25818
8.66107
8. 5
8.69570
8. 22090
8.72773
8. 20093
8.78540 8.75754
8.77146
40
8. 15791
25
8.60752
8.67981 8.64518
8.71184
8.74165
8.82028 8.79565 8.76951
8.85945 8.83617 8.81154
8.87466 8.85138 8.82675
8.88922 8.86594 8.84131
8.90318 8.87990 8.85527
8.95960 8.93864 8.91658 8.89330 8.86867
8.95151 8.92945
8.97247
8.90617 8.88154
8.98484 8.96388 8.94182 8.91854 8.89391
8.97578 8.95372
8.99674
8.93044 8.90581
9.00819 8.98723 8.96517 8.94189 8.91726
9.01922 8.99826 8.97620 8.95292 8.92829 8.90215
9.02985 9.00889 8.98683 8.96355 8.93892 8.91278
9.04009 9.01913 8.99707 8.97379 8.94916 8.92302
9.04997 9.02901 9.00695 8.98367 8.95904 8.93290
9.05950 9.03854 9.01648 8.99320 8.96857 8.94243
9.04774 9.02568 9.00240 8.97777
9.05661 9.03455 9.01127 8.98664
9.06518 9.04312 9.01984 8.99521
9.05139 9.02811 9.00348
9.07345
9.09441
9.11438
9. 13344
2.1
8.00080
HERE 8.03846
8.07309
8. 10512
8. 13493
8.16279
8.18893
8.31889
67298.33711
29983
15166
The 9. 25890
52❘ 43
8. 8.21356
8. 8.27986
44
9.08614
9. S. 10611
9. 12517
9.14339
42
9.07757
9.09754
8.38555
40377
9.11660
9. 13482
7
8.32556
8.36649
S. 41
9.06870
48
8.06746
8. 10512
8. 13975
8. 20159
9.08867
8. 25559
8. 17178
8.22945
9.10773
28
8. 28022
9.12595
40
9.07947
9.09853
8. 9.11675
44322
39
8. TABLE 8.34652
8. 40419
23684
8.30350
8.36117
8. 42416
8.38323
9.06994
9.08900
9.10722
38
9.06006
8
12513
16279
1 00 15
9.07912
8. 8.22945
51221
8. 8.31326
19742
9.09734
8. 25926
8.33789
04 16
8. 28712
28 37
8. 9.04982
9.06888
9.08710
36
24 9.03919
9.05825
9.07647
20 35
9.02816
9.04722
9.06544
16 34
9.01671
9.03577
8.17590
8.21356
8.24819
8. 28022
8.31003
8.33789
8.38866
45496
9.05399
33
8.43400
8.17493
8.36403
41194
9.00481
19399
S. 8. 9.02387
8. 9.04209
08 32
V.
8.99244
22000
9.01150
9.02972
31
8.97957
8.99863
9.01685
8.92524
8.94620
8.88658 8.96617
8.98523
9.00345
8.95221
8.97127
8.98949
10
8. 22124
8. 25890
8.29353
8.32556
8.35537
8.38323
8.43400
8.93765
8.95671
8.45728
8.55755
8.40937
8.47934
10
8.53933
28
8.9224.1
8: 94150
8.50030
8.52027
8.90655
8.92561
8.97493
8.94383
26
11
40 25
| ARE 222**
36
32
23
28
8.59848
22
24
8.53590 11
8. 26217
8.29983
8.33446
8.36649
8.39630
8.45030 8.42416
24
8.62854
8.66317
8.69520
8.47493
8. 72501
8.49821
8.58026
8.61111
8.54123
8.64574
8.56120
8.52027
8.67777
8.70758
220
8.59281
8.62744
8.65947
8.68928
Finding of the Azimuth.
8.57356
*8.51562 20 20
8.55328
8.64022 8.60819
8.61994 8.58791
8.29945
8.64975
8.33711
8.37174
8.43358
12
8.63576
8.40377
8. 51221 8.55755 8.61754
12
8.67003
8.59848
48
8.80364 8.77901 8.75287
8.70375 8.67761
8.82692
8.57851
8.80949
8.84898
8.83155
8.86994
52 28
8.85251
27**
8.65175
8.66997
8.88991
13
8.90897
8.63269
8.92719
36 24
13
8.33366
8.40595
30
8.87248
8.37132
8.89154
8.70156
8.90976
68334
32 23
8.53549
8.61272 8.59176 8.56970
8.64431 8.62335 8.60129
14
80ONE
S. 8703
8.76791
8.66428
8. 79119
8. 81325
56
8.36525
8.83421
8.40291
8.43754
8.46957
14
85418
8.73088
8. 8.71266
8.87324
8.69360
8. 89146
8.74866
8.77194
8.79400
8.81496
8.83493
8.85399
75822
8. 87221
00
8.74000
1 8.72094
15
8.39457
8. 43223
8.46686
8. 24 21
8.72838
8.75166
2008
8.78382
PERNO
8.77372
8.76560
17
8.79468
8.74654
8.81465
8.83371
8.85193
20
20❘ 04
8.72965
80786
12 8. 42191
16
8.78964
8.45957
18
8. 2008
8.77058
8.49420
16
19
8.49421
8.53187
12
18
8..47155
8.50921
8.81230
8.83052
8.75231
8.70697 8.68234 8.65620 8.62834 8.59853 8.56650
19
8.77327
8.79324
08
17
44751
8. 8.48517
8.51980
***
GEGION 8
45
3 44
56 180° 00° 00° ° 0082° 0082° 30'
OR ONG OTONG ONE ON ONE 2000 56 29
2 00 00❘ *29 22208 209 8082 7.41156 7.38542 7.35756
7.73715 7.71252 7.68638 7.65852
7.91313 7.88850 7.86236 7.83450
46144
8. 8.48758 8.46144
8.54642 8.52179 8.49565 8.46779 8.43798
8.57801 8.55338 8.52724 8.49938
8.65267 8.63061
8.67363
8.60733 8.58270 8.55656 8.52870 8.49889
8.68001
8.70097
8.65795 8.63467 8.61004 8.58390 8.55604 8.52623
8.70561
8.72657
8.68355 8.66027 8.63564 8.60950 8.58164 8.55183
8.75061
8.70759 8.68431 8.65968 8.63354 8.60568 8.57587 8.54384
8.73025 8.72403 8.69789
8.74328 8.71714
8.78621 8.76158 8.73544
21
8.55515
8.57345
8.59088 8.95972
8.86562 8.84356
8.90247 8.88151
8.91768 8.89672
8.91128
8.93224
8.80064 8.77278
8.81517 8.78731 8.75750
8.82913 8.80127 27
8.65318 28
8.81467 8.78486 8.75283
8.85540 8.82754 8.79773 8.76570
8.86777 8.83991 8.81010 8.77807
8.87967 8.85181 8.82200 8.78997
8.89112 8.86326 3 

Hour
Angle.
81° 30'
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
found from the diagram facing page 155.
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
82° 00181
30'
'
[2008
82° ÉTO 83° 00' 83° 30'
56
84° 00'
52
84° 30'
48
44
h. m40
84 36
8.99305
.
8.96519
32
8.93538
28
8.90335
24
8.86872
16
9.00049
8.83106
12
08
45
04
00
5 00
3 75❘ 56
52
8.97263
48
8.94282
44
8.91079
40
87616
69 36
8. 8.83850
68 32
67 28
46
24
04
20
9.00769 8.97983 16
8.91799
8.95002
12
08
8. 88336
04
8. 84570
4 00
47
56
08
52
9.01463
48
8.98677
44
8.95696
40
8.92493
52
8.89030
24
8.05264
50
12
48
CANCH BONHA 8J02J BON88 07201 RONCO 802** ******
9.04748
8.98157 90 6
9. 02134
9.01923
8.99348
9.05386
8. 8.96367
9. 11570 9.08589
9.14356
93164
89
8.89701
8.98150
8.85935 49
9.01916
16
9.05379
9.02781
9.08582
8.99995
11563
8. 97014
9. 8.93811
9. 14349
8.90348
88
The 8.86582
8. 98131
9.01897
9.05360
9.03406
9.08563
9.00620
9. 11544
8.97639
9. 14330
8.94436
87
8.90973
8.98097
8.87207
9.01863
51
9.05326
9.08529
9.06623 9.04009 9.01223
9. 11510
8.98242
9. 14296
8.95039
8.98051 86
8.91576
9.01817
8. 87810
9.05280
9.08483
TABLE 28
9.04591
9. 11464
9.01805
9.14250
8.98824
8.97991 8.95621
85
8.92158
9.01757
8.88392
9.05220
9.08423
9.05152
53 32
9.02366
9. 11404
8.99385
9. 14190
8.96182
83
8.92719
8.97832
8.97918
9. 01681
8.88953 54 36
9.05147
9.05692
9.08350
9.02906
9. 11331
8.99925
9. 14117
8.96722
9.01598
8.93259
9.05061
8.89493
9.08264
55
9.08827 9.06213
9. 11245
9. 03427
9. 14031
V.
9.00446
8.97732
8.97243
9.01498
8.93780
9.04961
9.08164
8.90014
9. 11145
9. 13931
56
81
8.97619
9.09329 9.06715
9.01385
9.03929
9.04848
9.08051
9.00948
9. 11032
8.97745
9. 13818
8.94282
8.97492
8.90516 57
9.01258
9.04721
9.07198
9.07924
9.04412
9.10905
9. 01431
9. 13691
8.98228
8.97352 79
8.90999 8.94765
9. 01118
9.04581
Finding of the Azimuth.
9.07663
9.07784
9.04877
9. 10765
9.01896
9. 13551
8.98693
78
8.95230
77
76
8.91464
8.97197
59
8. 96651
9.00963
9.08109
9.04426
9.05323
9.07629
9.02342
9. 10610
8.99139
9. 13396
8.95676
9.00795
8.91910
9.04258
9.07461
9.08538 .
60
9.05752
9. 10442
9.13228
9.02771
9.00613
8.99568
9.07279 9.04076
8. 96105
9.10260
9. 13046
9.00417
9.08949
61
9.06163
9.03880
9.03182
9.07083
8.99979
9.10064
8.96516
9. 12850
74
8.92750 62
8. 96441
9.00207
9.03670
9.06873
9.09344
9.09854
9.06558 9.03577
9. 12640
9.00374
73
8.96911
8. 96217
8.93145
8.99983
9.03446
9.09722
63
9.06936
9.09630 9.06649
9.03955
9. 12416
9.00752
8.95978
8.97289
8.99744
9.03207
8.93523
9.06410
8.95724
64
8.99490
9. 02953
9. 10084
9.06156
9.07298
9.09137
9.04317
9.09391
9. 01114
9. 12177
8.97651
9. 11923
8.93885
8.95456
65
8. 99222
9.02685
9. 10429
9.08869 9.07643
9.05888
9.04662
9. 11655
9.01459
8.95172
8.97996
8.98938
8.94230
9.02401
66
9.05604
9.08585
9. 10759
9. 11371
9.07973
8.94874
8.98640
9.04992
9.02103
9.01789
9.05306
8.98326
9.08287
8. 94560
9. 11073
Declination.
Hour
Angle.
78° 00'
78° 30'
79° 00'
79° 30'
80° 00'
80° 30' 81° 00'
h.m.
3 00
04 46
08
12 48
16
20
24
28
32
36
40
44 56
48
52
56
4.00
04
08
12
16
20 | 65
24
28
32 68
36
40
44
48
72
52
56
5 00
75
04
08
77
12
78
16
20
24
28
82
32
36
40
44
48
52 88
56 89
6 00❘ 90
****** ***** IIIZZ ZZZZZ 28287 22:20 am. Fag ***** °
45
9. 16737
9. 14915
9.13009
9. 11012
9.08916
9.06710
9.04382
9. 17481
9.15659
9. 13753
9. 11756
9.09660
9.07454
9.05126
9.01919
9.02663
47
9. 18201
9. 16379
9. 14473
9. 12476
9. 10380
9.08174
9.05846 9.03383
9. 18895
9.19566
9. 17073
9. 15167
9. 13170
9. 11074
9.08868
9.06540 9.04077
9. 17744
9. 15838
9. 13841
9. 11745
9.09539
9.07211
9, 20213
9. 18391
9. 16485
9. 14488
9. 12392
9. 10186
9.07858
9.05395
9.20838
9. 19016
9. 17110
9. 15113
9. 13017
9. 10811
9.08483
9.06020
9.21441
9. 19619
9. 17713
9.15716
9.13620
9. 11414
9.09086
9.22023
9. 20201
9. 18295
9. 16298
9.14202
9. 11996
9.09668
9.07205
9.22584
9. 20762
9. 18856
9. 16859
9.14763
9.12557
9. 10229
9.07766
9.23124
9.21302
9. 19396
9. 17399
9.23645
9.21823
9. 19917
9.17920
9.15303
9. 15824
9.13097
9. 10769
9.08306
9. 13618
9.11290
9.24147
9.22325
9. 20419
9. 18422
9.16326
9. 14120
9. 11792
9.24630
9.22808
9. 20902
9.18905
9. 16809
9.14603
9. 12275
9.09812
9.25095
9.23273
9.21367
9. 19370
9. 17274
9.15068
9. 12740
9.10277
58
60
9.25541
9.23719
9.21813
9. 19816
9. 17720
9. 15514
9. 13186
9.10723
9.25970
9. 24148
9. 22242
9. 20245
9. 18149
9. 15943
9. 13615
9. 11152
62
9.26381
9.24559
9. 22653
9. 20656
9. 18560
9. 16354
9. 14026
9. 11563
8.92339
9.26776
9.24954
9.23048
9.21051
9. 18955
9.16749
9. 14421
9. 11958
9.27154
9.25332
9.23426
9.21429
9. 19333
9. 17127
9. 14799
9. 12336
9.27516
9.25694
9.23788
9. 21791
9. 19695
9. 17489
9. 15161
9. 12698
9.27861
9.26039
9.24133
9.22136
9. 20040
9. 17834
9. 15506
9. 13043
9.28191
9.26369
9.24463
9.22466
9.20370
9. 18164
9. 15836
9.13373
9.28505
9.26683
9.24777
9.22780
9. 20684
9. 18478
9. 16150
9. 13687
9.28803
9.26981
9.25075
9.23078
9. 20982
9. 18776
9. 16448
9. 13985
9.29087
9.27265
9.25359
9.23362
9.21266
9. 19060
9.16732
9. 14269
9.29355
9.27533
9.25627
9.23630
9.21534
9. 19328
9. 17000
9. 14537
9.29609
9.27787
9.25881
9.23884
9.21788
9. 19582
9. 17254
9. 14791
9.29848
9.28026
9.26120
9.24123
9.22027
9. 19821
9. 17493
9. 15030
9.30072
9.28250
9.26344
9.24347
9.22251
9. 20045
9. 17717
9. 15254
9.30282
9.28460
9.26554
9.24557
9. 22461
9. 20255
9. 17927
9. 15464
9.30478
9.28656
9.26750
9.24753
9.22657
9. 20451
9. 18123
9. 15660
9.30660
9.28838
9.26932
9.24935
9.22839
9.20633
9. 18305
9. 15842
9.30828
9.29006
9.27100
9.25103
9.23007
9. 20801
9. 18473
9. 16010
8.96847
8.97029
9.30983
9.29161
9.27255
9.25258
9.23162
9. 20956
9. 18628
9. 16165
9.31123
9.29301
9.27395
9.25398 9.23302
9.21096
9.18768
9. 16305
9.31250
9.29428
9.27522
9.31363
9.29541
9.27635
9.25525
9.25638 9.23542
9.23429 9.21223
9. 18895
9. 16432
9.21336
9.19008
9. 16545
9.31463
9.29641
9.27735
9.25738 9.23642
9.21436
9. 19108
9. 16645
9.31549
9.29727
9.27821
9.25824
9.23728
9.21522
9. 19194
9. 16731
9.31622
9.29800
9.27894
9.25897 9.23801
9.21595
9. 19267
9. 16804
9.31682
9.29860
9.27954
9.25957 9.23861
9.21655
9.19327
9. 16864
9.31728
9.29906
9.28000
9.26003 9.23907
9.21701
9. 19373
9. 16910
9.31762
9.31781
9.31788
9.29940
9.29959
9.29966
9.28034
9.26037 9.23941
9.21735
9. 19407
9. 16944
9.28053
9. 28060
9.26056 9.23960
9.26063 9.23967
9.21754
9. 19426
9. 16963
9. 21761
9. 19433
9. 16970
2700K CHINA CHUNG CHINO CON IN 2009 Page MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-
the azimuth is marked iгom the pole of the same name

RULE. Take out the tabulated number corresponding to the given declination and hour-angle, then find this number again in that declination column which has at its head a value equal to the
altitude, and, in the hour-angle column, opposite to the number thus found again in the declination column, will be the required azimuth.
Page ****
Hour
DERRE Declination.
Angle.
**22 22222 2228 STONE RING RING OTING O**** 2008
Hour
.
The Angle.
TABLE 90° 00'
89° 30'
89° 00'
88° 50'
88° 30'
88° 00'
87° 30'
'
V.
86° 3086'
'
85° 30]
85° 0045 3 00
'
84° 30'
'
7.79033
8.09135
878. 15828
8.26741
8.39231
8.48917
8.56829
8.63517
9.69307
8.74413
8.78979
8.83106
45
7.78261
8.08363
h.m.
O
8. 15056
о
h.m.
8.25969
8.38459
8. 48145
0
00
-∞
0 00
0 -∞
0123 8.56057
8.62745
8.68535
8.73641
8.78207
8.82334
44
7.77462
1
6.18270
6.48372
6.55065
THE 6.65978
6.78468
6.88154
6.96066
7.08544
8.07564
7.02751
7.13650
7.22343
8. 14257
7. 18216
8.25170
8.37660
8.47346
8.55258
8.61946
8.67736
8.72842
8.77408
8.81535
7.76635
8.06737
8. 13430
2
6.48366
6.78468
6.85161
7.08564
8. 24343
7.18250
7.32850
6.96074
7.38640
7.43746
7.52439
7.70037
7.48312
7.26162
8.36833
8.46519
8.54431
61119
8. 16
8.66909
→
8.72015
8.76581
8.80708
7.75778
8.05880
3
6.65964
6.96066
7.02759
7.13672
7.35848
8.12573
7.43760
7.50448
7.56238
7.65910
7.26162
7.61344
8. 23486
8.35976
8.45662
8.53574
8.60262
8.66052
8.71158
8.75724
8.79851
7.74891
8.04993
8.11686
4
6.78442
7.08544
7.15237
7.48326
8.22599
7.26150
7.56238
7.62926
7.82515
7.38640
7.73822
7.78388
28
8.35089
8.44775
+
7.68716
8.52687
8.59375
8.65165
8.70271
8.74837
8.78964
40 40
7.73971
8.04073
8.10766
32
8. 21679
8.34169
8.43855
5
6.88114
7.18216
7.24909
7.35822
7.48312
7.57998
7.65910
7.72598
UI
8.51767
7.83494
36
8.58455
7.92187
5
7.78388
7.88060
8.64245
8.69351
8.73917
8.78044
39
7.73018
8.03120
HERRE
8.09813
8. 20726
22222 2228
8.33216
8.42902
40 10
8.50814
8.57502
6808 6
6.96007
7.26109
7.32802
7.56205
8.63292
7.65891
7.73803
7.91387
7.43715
7.86281
7.95953
8.00080
44
8.68398
7
7.80491
8.72964
8.77091
7.72030
8.02132
8.08825
8. 19738
8.32228
8.41914
8.49826
8.56514
8.06746
8. 62304
8.67410
7
7.02673
7.32775
7.39468
7.50381
7.72557
8.71976
7.80469
7.87157
7.92947
7.62871
7.98053
8.02619
8.76103
52
· 7.71006
8.01108
8.07801
8. 18714
8.31204
8.40890
8.48802
8.55490
8.61280
8.66386
8.70952
8.75079
7.69943
8.00045
56
8
7.08440
7.38542
7.45235
7.68638
8.06738
7.78324
7.86236
7.92924
7.98714
8.03820
8.08386
7.56148
8. 12513
BOND
8.17651
8.30141
8.39827
8.47739
1 00
8.54427
8.60217
88.65323
8.69889
8.74016
250
38
8. 17590
32 37
9
9
7.13517
7.43619
7.50312
7.61225
7.73715
7.83401
7.98001
24 8.03791
7.91313
8.08897
8. 13463
36
20❘ 35
7.68840
7.98942
08
8.05635
8. 16548
*822
8.29038
8.38721
8.46636
8.53324
8.59114
8.64220
8.68786
8.72913
31
10
7.18051
7.48153
12
7.54846
7.65759
7.78249
7.95847
7.67695
8.02535
7.87935
8.08325
7.97797
8.17997
8.04490
8.22124
8. 13431
8. 15403
8.27893
8.37579
8.45491
8.52179
8.57969
8.63075
8.67641
8.71768
33
26217
7.66505
7.96607
7.22144
7.52246
7.58939
7.69852
2227.82342
7.92028
7.99940
8.06628
22228
17524
8.03300
8. 14213
8.22090
8.26703
8.36389
8. 8. 8.44301
12418
8.50989
8.56779
8.61885
8.66451
8.70578
32
7.65268
7.95370
8.02063
8.12976
8.25466
12
7.25872
7.55974
7.62667
7.73580
7.86070
7.95756
8.03668
8.10356
16146
8.21252
8.35152
8.25818
12
8. 8.29945
48
8.43064
8.49752
8.55542
8.60648
**
8.65214
8.69341
2.00
*56
7.63981
7.94083
8.00776
8.11689
8.24179
8.33865
8.41777
13
7.29293
7.59395
7.66088
7.77001
7.99177
8.48465
8.07089
8. 13777
8. 19567
8.24673
8.29239
8.33366
7.89491
8.54255
8.59361
8.63927
8.68051
*000
04 31
30
7.62641
7.92743
7.99436
10349
44
8. 8.22839
8.32525
14
7.32452
7.62554
7.69247
7.80160
8.02336
8.40437
8. 10248
8.16936
8.27832
48
7.92650
8.36525
8.22726
14
8.32398
8.47125
8.52915
8.58021
8.62587
8.66714
56 29
7.61245
7.91347
52
7.98040
8.08953
8. 21443
8.31129
8.39041
8.45729
1.00
15
7.35384
7.65486
7.72179
7.83092
8.51519
7.95582
8.05268
8.13180
8.56625
8.19868
8.25658
8.30764
8.35330
8.39457
8.61191
27*2
15
8.65318
28
7.59789
7.89891
7.96584
8.07497
8. 19987
8.29673
*2.00
8.37585
8.44273
8.50063
8.55169
8.59735
8.63862
7.58268
87287
7.88370
16
80
7.38118
7.74913
7.95063
7.85826
8.08002
7.68220
8. 15914
8.28392
7.98316
8.33498
8.38064
8.42191
16
8. 22602
8.05976
8. 18466
8. 28152
8.36064
8.42752
8.48542
8.53648
8.58211
8.62341
26
7.56679
7.86781
7.93474
7.40678
7.70780
7.77473
12
7.88386
8.00876
8.18474
8.04387
25162
8.30952
8. 10562
8.40624
8.16877
8.36058
8.44751
8. 8.26563
8.34475
8.41163
8.46953
8.52059
8.56625
8.60752
25
40
7.56015
7.86117
7.92810
8.03723
8.16213
18
7.43082
7.73181
7.79877
8.03280
8.25899
8. 12966
8.27566
7.90790
8.33356
8.38462
8.47155
8.20878
18
8.43028
8.33811
8.40499
28
8.46289
8.51395
8.55961
8.59088
36 24
23
7.53272
7.83374
7.90067
8.00980
8.13470
8. 23156
7.45348
7.75450
7.82143
7.93056
8.15232
8.31068
23144
8.29832
8.05546
8.35622
8.40728
8.45294
8.49421
16 19
8.37756
8. 8.43546
8.48652
8.53218
8.57345
32 23
7.51442
7.81544
7.88237
7:99150
8.11640
8.21326
8.29238
20
7.47489
7.77591
7.84284
7.95197
8.07687
17373
8.25285
8.35926
8.31973
8.37763
8. 8.47435
8.41716
8.42869
8.46822
8.51562
8.51388
8.55515
28 22
7.49517
7.79619
7.86312
7.97225
8.09715
1234
8. 19401
00088
8.27313
8.34001
8.39791
8.44897
8.49463
8.53590
21
3 00
182° 00°008. 20 Finding of the AzimuthBO222 2222* ***** 270** 22588 GE

Hour
Angle.
88° 30'
tion are of the same name and the latitude is greater than the declination, the azimuth is marked
from the pole of the same name as the latitude when the hour-angle is greater than the hour-angle
of crossing the prime vertical, and from the pole of opposite name when the hour-angle is less than
the hour-angle of crossing the prime vertical. The hour-angle of crossing the prime vertical may be
found from the diagram facing page 155.
8890 | 6.00
88° 00'
89° 0050'
52
87 18
86
89° 30' 90° 00'
10
84 36
h.m.
O
FOTO 32
8.39231
28
8.15828
8.26741
12
08
8.09135
01
7.79033
5 00
DONGO 52
20
8.39975
16
7.79777
8.27485
45
8.09879
8.16572
3.00
08
4 00
40
46
32
7.80497
8.40695
28
17292
12
8.28205
8.10599
48
8. 04
08
DENAH RONDO OUNC* 58588 27222 KENZO 8000 385888
89
47
7.94077
8.41389
7.94084
8. 8. 8.24186
8.30879
28899
17986
8.41792
8.54282
11293
8. 24179
7.81191
8. 8.30872
8.41785
8.54275
7.91058
8.29570
8.42060
8. 24160
8.30853
8.18657
8.41766
7.81862
8. 11964
8.54256
7.93918
49
7.93978
7.94024
8.42707
24126
12611
8.30217
8. 8.19304
8.30819
8. 8.41732
8.54222
7.82509
8.24080
50
8.30773
8.30842
8.41686
The 8.43332
8.19929
8.54176
8.24020
8. 13236
8.30713
7.83134
8.41626
51
8.54116
8.31443
7.93845
8.43933
8.20530
8. 23947
8.30640
7.83735
8.13837
8.41553
8.54043
83
52
7.93759
8.32027
8.44517
8.23861
TABLE 8.30554
8. 8.41467
7.84319
21114
8.53957
8. 14421
82
7.93659
53
23761
8. 8.45078
8.30454
8.21675
8.32588
8.41367
8.53857
8.14982
81
7.84880
7.93546
54
8.23648
8.45618
8.30341
8.33128
8.41254
22215
8.53744
8. 7.85420
7.93419
8. 15522
8.23521
8.30214
55
8.33649
8.46139
8.41127
8.53617
16043
V.
8. 22736
79
78
8. 7.93121
7.85941
7.93279
23381
8. 56
8.30074
8.40987
8.34151
8.46641
8.53477
8. 23226
8.23238
8. 29919
8. 16545
8.40832
7.86443
8.53322
57
77
8.34634
7.92956
17028
8.23058
8. 8. 47124
8. 23721
7.86926
8. 29751
8.40664
8.53154
76
8.24186
.
8.35099
8.47589
58
7.92774
8. 22876
8. 17493
7.87391
8.29569
8.40482
8.52972
59
75
8.48035
7.92578
8.35545
8.22680
8.17939
8.24632
8.29373
8.40286
7.87837
8.52776
74
60
7.92368
8. 8.35974
8.48464
22470
8.29163
8.25061
8.40076
8.18368
8.52566
7.88266
73
61
7.92144
8.36385
8.48875
8. 22246
8.28939
8.25472
8.39852
8.18779
8.52342
7.88677
7.91905
62
8. 22007
8.28700
8.36780
8.49270
8.39613
8.52103
8.25867
71
19174
70
8. 7.89072
7.91383
7.91651
8.37158
8.49648
63
8.21753
19552
26245
8. 28446
8. 8. 8.39359
8.51849
8. 7.89450
21485
8.28178
8.39091
64
8.51581
69
8.37520
8.50010
7.91099
[Page 8. 21201
8.26607
8.27894
7.89812
8. 19914
8.38807
2020 000 8 29 222NG ON THE 22029 2038
8.51297
65
68
7.90801
8.50355
8.20903
8.37865
8.27596
8.26952
8.38509
8.20259
8.50999
7.90157
67
66
7.90487
20589
8.50685
8. 8.38195
8.27282
183
Declination.
Hour
Angle.
84° 30′
85° 00' 85° 30' 86° 00'
86° 30' 87° 00'
87° 30'
° ' Finding of the Azimuthh. m.
3 00
5 00
OTON 2002. CANK OTONG 2**** CHANG OTONG 2**NG O
32 53
40 55
52 | 58
4 00 60
20❘ 65
32 68
36 69
48 72
52 73
28 82
40 85
6 00 | 90
****** ***** IIII* ZJN22 ***** ***20 *** nang AAAAAO
8.83106
8.78979
8.74413
8.69307
8.63517
8.56829
8.48917
8.83850
8.79723
8.75157
8.70051
8.64261
8.57573
8. 49661
8.84570
8.80443
8.75877
8.70771
8.64981
8.58293
8.50381
8.85264
8. 81137
8.76571
8.71465
8.65675
8.58987
8.51075
8.85935
8.81808
8.77242
8.72136
8.66346
8.59658
8.51746
8.86582
8.82455
8.77889
8.72783
8.66993
8.60305
8.52393
8.87207
8.83080
8.78514
8. 73408
8.67618
8.60930
8.53018
52
8.87810
8.83683
8.79117
8.74009
8.68219
8.61531
8.53619
8.88392
8.84265
8.79699
8.74593
8.68803
8.62115
8.54203
8.88953
8.84826
8.80260
8.75154
8.69364
8.62676
8.54764
8.89493
8.85366
8.80800
8.75694
8.69904
8.63216
8.55304
8.90014
8.85887
8.81321
8.76215
8.70425
8.63737
8.55825
8.90516
8.86389
8.81823
8.76717
8.70927
8.64239
8.56327
8.90999
8. 86872
8.82306
8.77200
8.71410
8.64722
8.56810
8.91464
8.87337
8.82771
8.77665
8.71875
8.65187
8.57275
61
8.91910
8.92339
8.87783
8.83217
8.78111
8.72321.
8.65633
8.57721
8. 88212
8.83646
8.78540
8.72750
8.66062
8.58150
8.92750
8.88623
8.84057
8.78951
8.73161
8.66473
8.58561
62
8.93145
8.89018
8.84452
8.79346
8.73556
8.66868
8.58956
8.93523
8.89396
8.84830
8.79724
8.73934
8. 67246
8.59334
8.93885
8.89758
8.85192
8.80086
8.74296
8.67608
8.59696
8.94230
8.90103
8.85537
8.80431
8.74641
8.67953
8.60041
67
8.94560
8.90433
8.85867
8.80761
8.74971
8.68283
8.60371
8.94874
8.90747
8.86181
8.81075
8.75285
8.68597
8.60685
8.95172
8.91045
8.86479
8.81373
8.75583
8.68895
8.60983
8.95456
8.91329
8.86763
8.81657
8.75867
8.69179
8.61267
8.95724
8.91597
8.87031
8.81925
8. 76135
8.69447
8.61535
8.95978
8.91851
8.87285
8.82179
8.76389
8.69701
8.61789
8.96217
8.92090
8.87524
8.82418
8.76628
8.69940
8.62028
8.96441
8.92314
8.87748
8.82642
8.76852
8.70164
8.62252
8.96651
8.92524
8.87958
8.82852
8.77062
8.70374
8.62462
8.96847
8.92720
8.88154
8.83048
8.77258
8.70570
8.62658
8.97029
8.92902
8.88336
8.83230
8.77440
8.70752
8.62840
8.97197
8.93070
8.88504
8.83398
8.77608
8.70920
8.63008
8.97352
8.93225
8.88659
8.83553
8.77763
8.71075
8.63163
8.97492
8.93365
8.88799
8.83693
8.77903
8.71215
8.63303
8.97619
8.93492
8.88926
8.83820
8.78030
8.71342
8.63430
8.97732
8.93605
8.89039
8.83933
8.78143
8.71455
8.63543
8.97832
8.93705
8.89139
8.84033
8.78243
8.71555
8.63643
8.97918
8.93791
8.89225
8.84119
8.78329
8.71641
8.63729
8.97991
8.93864
8.89298
8.84192
8.78402
8.71714
8.63802
8.98051
8.93924
8.89358
8. 84252
8.78462
8.71774
8.63862
8.98097
8.93970
8.89404
8.84298
8.78508
8.71820
8.63908
8.98131
8.94004
8.89438
8.84332
8.78542
8.71854
8.63942
8.98150
8.98157
8. 94023
8.89457
8.84351
8.78561
8.71873
8.63961
8.94030
8.89464
8.84358
8.78568
8.71880
8.63968
MARKING THE AZIMUTH.-The azimuth found from the table is always marked east (E.) or west
(W.) according as the observed body is to the eastward or westward of the meridian of the observer.
If the latitude and declination are of different name the azimuth is marked from the pole of oppo-
site name to the latitude.
If the latitude and declination are of the same name and the latitude is less than the declination,
the azimuth is marked from the pole of the same name as the latitude. If the latitude and declina-

J

TABLE VI
ALTITUDE AND AZIMUTH TABLES
FOR FACILITATING THE DETERMINATION OF LINES OF POSITION AND
GEOGRAPHICAL POSITION AT SEA
185
Table VI
Alt. and
Azimuth

Tables.

14
•
ALTITUDE AND AZIMUTH TABLES.
The results which have been reached by the foregoing proceedings may also be
attained by the employment of the following tables, which are reprinted from the
publication by Lieut. Radler de Aquino, Brazilian Navy, entitled "The Newest
Navigation: Altitude and Azimuth Tables for Facilitating the Determination of
Lines of Position and Geographical Position at Sea."
These are spherical traverse tables which consist of the tabulation of the solu-
tions of the right-angled spherical triangle, just as the plane traverse tables consist
of the solutions of the right-angled plane triangle, and, by means of them, the
astronomical triangle is solved by suitably combining the tabulated values in relation
to the two right-angled_spherical triangles into which it may be decomposed by a
perpendicular conceived to be passed from the observed celestial body at right
angles to the celestial meridian of the observer. Presupposing a knowledge of the
astronomical triangle, such as is imparted in the American Practical Navigator, the
precepts for combining the various elements of the two right-angled triangles may
be stated as depending upon where the point in the foot of the perpendicular falls
on NS, the celestial meridian of the observer (see fig. 1). This is determined by the
relative algebraic signs of L and d, by the relative values of L and b, and by whether
t is greater or less than 6 hours or 90°. Accompanied by an outline of their deduc-
tion, these precepts, four in number, are set forth herewith, reference being made to
figures 1, 2, 3, and 4, respectively.
N

90°-6
M
90°-h
W
P
90°-L
9-06 18:06
Z
Q
S
E

Fig. 1
(1) The point m can only fall between P and Z by the concurrence of the three
conditions that d and L shall be of the same sign or name, that t shall be less than
90°, and that L shall be less than b. Hence (fig. 1) Z<90°; M=a+ß; and, putting
C for 90°-B, C=90° – B = (90° — L) — (90° — b) = b — L.
187
Page 188]
ALTITUDE AND AZIMUTH TABLES.
N

P
W
M
90°-6
ད་
90°-L
P 90-h
a-
-2-
19-06
-.06
Ꮓ
E
S
Fig. 2
(2) The point m will fall between Z and Q when d and L are of the same name,
if t<90° and L>b. Hence (fig. 2) Z>90°; Ma-ẞ; and C-90°-B = (90° — b) -
(90° - L) = L-b.
N

W
a
M
90
90°-h
180° 7.
S
2
Q
90°-b-
· 90°-L
T
8-.06
E

Fig. 3
(3) The point m will fall between P and N when d and L are of the same name,
if t>90° (and then the tables must be entered with 180°-t, instead of t). Hence
(fig. 3) Z<90°; M =ẞ-a; and C-90° - B = (90°-L) + (90° —b) = 180° — (L+b).
ALTITUDE AND AZIMUTH TABLES.
[Page 189

W
90°-h
Ma
α
a
-
mt
90°-8
P
-90°-b
90+ L
90°-B
E
Fig. 4
(4) When d and L are of opposite sign or name, the point m will fall between
Q, the equator, and P', the depressed pole, and reckoning from the depressed pole
in order that the value of 90-d shall remain within the range of the table, which is
90° in declination, by fig. 4 Z>90° (from the elevated pole); M=a+ß; and C=90° –
B= (90+L) – (90´—b) = L+b.
SUMMARY.
2
(1) d and L same name, t<90°, L<b, then C-b-L, Z<90°, and M = a+ẞ.
(2) d and L same name, t<90°, L>b, then C-L-b, Z> 90°, and Ma-B.
(3) d and L same name, t>90°
(4) d and L contrary names
then C-180° ~ (L+b), Z<90°, and M=ß — a.
then C=L+b, Z> 90°, and M=a+ß.
In the first two precepts the smaller of the quantities L and b is subtracted from
the larger to get C, and in the last two they are added. In the third precept, when
t is greater than 90°, their sum is greater than 90° and it is subtracted from 180°.
When d and L are of contrary names their sum is always less than 90°. By a glance
at the figures it will be seen that when Z is less than 90° in the precepts its value
as given by the table is reckoned from the elevated pole to east or west according as
the body is east or west of the meridian; and when greater than 90°, in like manner
from the depressed pole.
The position angle M may vary in value from 0° to 180°. In the first and fourth
precepts a and B are added to find M; and, in the second and third, the smaller is
subtracted from the larger.
The precepts will be referred to as occasion may arise. It is unnecessary to
commit them to memory, as they will, with a little use, become familiar.
In order to avoid making the tables too voluminous, a, for the most part, is tab-
ulated for every 30′ only, and b and C for every 1° only. The double interpolating
that this would seem to necessitate may be done away with by any one of the three
methods which will be explained and illustrated in detail.
In the descriptions of the methods about to be given and in the solution of the
4

examples, the following abbreviations, almost all of which are in common use among
Page 190]
ALTITUDE AND AZIMUTH TABLES.
American navigators, are employed to supplement the designations already used in
the statement of the precepts and in the illustrative figures:
a. m.
C. C
C. T.
.Ante meridian.
Chronometer correction.
Chronometer time.
LA
LD
Ꭱ
L. A. noon.
Chronometer minus watch.
Correction.
L. M. noon.
L.A. T.
Declination.
Deviation.
C-W
W.
Corr.
d..
Dev
Diff
Difference.
D. R..
Dead reckoning.
Eq. t
h.
h'
hc.
h。-
h..
ん​。
H. D
I. C...
Equation of time.
L. M. T.
L. S. T.
X...
ད་བ
·
.Altitude.
Approximate altitude.
λD. R-
p.m.
p.s.c..
Calculated
altitude
from R.A.
tables.
R. A. M. S.
Observed altitude (corrected).
t.
Sextant altitude.
ts
Hourly difference.
to
Index correction.
tD. R
G. A. noon.
G. M. noon.
Var
G. A. T
G. M. T
W. T.
..Greenwich mean time.
Z
G. S. T
Z'
L
*
Greenwich apparent noon.
Greenwich mean noon.
Greenwich apparent time.
..Greenwich sidereal time.
Latitude.
.Latitude assumed.
Latitude by dead reckoning.
Local apparent noon.
Local mean noon.
Local apparent time.
Local mean time.
Local sidereal time.
Longitude.
Longitude assumed.
Longitude by dead reckoning.
Post meridian.
Per standard compass.
Right ascension.
Right ascension of mean sun.
Local hour angle.
Assumed local hour angle.
.Greenwich hour angle.
Hour angle from dead reckon-
ing meridian.
Variation.
Watch time.
True azimuth.
Approximate azimuth.
Star or planet.
FIRST METHOD.-Using an assumed position and simple interpolations. The
usual procedure by the Saint Hilaire method of fixing a line of position has been to
determine the distance from the D. R. position to the line. The line may be just as
accurately fixed by determining its distance from any assumed position near the
D. R. position. In the first two methods advantage is taken of this choice in position
by assuming a position such as will give a value to a of an even half degree and to C
a whole degree. The solution of the triangle by means of the tables is thus simplified
by having tabulated values of a and C with which to work.
A
A
The method of determining the assumed position appears in the description of
the procedure which follows: Given d, LD.R. and to.., to find h, Z, λ, and L. Enter
the tables from below with the nearest value of d as tabulated, and to.., take out a
to the nearest 30'. Reentering the tables from above with this a and with the given
d, by a simple interpolation the corresponding values of b and t are obtained. These
are exact values of a and b corresponding to the given d and an approximate t. Now,
taking this t as t and combining it with the to (Greenwich hour angle) gives
near the D. R. position. Assuming this new longitude from which to plot the line,
proceed with the above values of a and b. As previously explained, 6 is combined
with L to get C. C is only tabulated to whole degrees, so, in order to again avoid
interpolating, assume as the latitude from which to plot the line the nearest value
to the D. R. latitude that will, when combined with b, give C in whole degrees.
Having for the assumed position exact tabulated values of a and C, take directly from
the tables the corresponding values of h and Z.
Comparing this he with the observed h, gives the altitude difference and the line
is plotted from the assumed position for which he was obtained.
Example 1.—A. M., December 30, 1916, sextant altitude of sun's lower limb is
23° 54', bearing south and east. W. T., 9h 25m 188; C-W, 4h 58m 008; C. C.,
+3m 45%; height of eye, 37 feet; I. C., +2'.0; D. R. position, L. =29° 11' N., λ=
78° 29′ W. Solve for line of position.
Solution in detail: See page 192 (Form 1). Enter all the given data in the proper
places as indicated in the form. Start with the W. T. in line 1 and work down until
G. M. T. with date is found in line 5.
From the Nautical Almanac enter, for December 30, G. M. T. 2h, the equation of
time and declination with their proper signs on lines 4 and 11, respectively, and their
respective hourly differences for the day with their signs on lines 1 and 8 (second col-
umn). Correct the equation of time and declination for the difference in G. M. T. (27),
getting the corrected values in lines 5 and 12. Enter the equation of time in line 7.

Applying it to the G. M. T. gives the G. H. A. in line 12. This is immediately con-
ALTITUDE AND AZIMUTH TABLES.
[Page 191
verted into arc and entered in both columns, line 14. Combine the G. H. A. with
AD.R. (lines 14 and 15, left-hand column) and obtain tD.R. Now enter Table VI from
below with d=23° and tp. R. =42° 23'; taking out a to the nearest half degree, enter
in line 18, a = 38° 30'. Reenter the tables from above with a=38° 30' and d=
23° 10′.3, and by interpolating take out b=30° 11'.3 and t₁ =42° 37'.4 and enter
them in right-hand column, lines 19 and 15, respectively.
A
The declination and latitude being of different names, the problem comes under
the fourth precept, so C=b+L. It is seen at once that the value nearest to Lp. R.
that will give C in whole degrees is 28° 48'.7. This is entered as the L in line 18.
C is now found to be 59° 00'. Turning again to Table VI where a=38° 30' and
C=59° 00′, take out h. 23° 46′ and Z-42° 52′ and enter them in line 25. From
Table I enter in line 21 the combined altitude correction. With this and the I. C. the
total correction is obtained for line 22. Applying the same to h, gives ho=24° 04′.3.
The altitude difference (ho-he) is 18'.3, which, since the observed altitude is the
greater, must be reckoned toward the observed body from the assumed position in
order to find the point through which the line of position passes at right angles to
the bearing of the observed body.
The azimuth of the body being greater than 90° (see precept 4) and t being east,
Z as taken from the tables is S. 42° 52′ E, or the body bears 137° from north.
Combining lines 14 and 15 (right-hand column) gives as the assumed longitude
78° 43′.2 W.
The assumed position, then, from which to plot the line is:
L. 28° 48'.7 N.
M. 78° 43'.2 W.
The altitude difference is 18.3 miles toward the body bearing 137°, and the line of
position is at right angles to the bearing.
Example 2.-May 23, 1916, during p.m. twilight, sextant altitude of star a Leonis
(Regulus) is 66° 18'.2, bearing S. and W.; W. T., 6h 45m 18s; C-W, 4h 18m 02.0s;
C. Č.—3m 45.58; I. C., 0.0; height of eye, 39 feet; D. R. position, L. 34° 38′ N,
A 65° 12′ W. Solve for line of position.
See page 192 (Form 1). Enter in the form all the given data and get out the
G. M. T. and date as before. From the Almanac enter the star's R. A. in line 11;
d in line 12 (right-hand column); R. A. M. S. for noon 23d in line 8; and the correc-
tion to the R. A. M. S. for G. M. T. in line 9. The G. S. T. (adding lines 5,.8, and 9)
is found to be 15h 04m 26.5s. Subtracting from the G. S. T. the star's R. A. gives
G. H. A.=5h 00m 30.3s. Convert the G. H. A. into arc and enter in both columns
line 14. Combining the G. H. A. with D. R. gives to. R. (line 16)=9° 55'.6.
tɔ.
Enter Table VI from below with d=12° 30' and to. R. -9° 55'.6 and take out
a=9° 30′ (nearest 30'). Now enter same table from above with a=9° 30′ and
d=12° 22′.6 and by interpolating take out b-12° 33.'3 and t=9° 44.'0. Enter
them in lines 19 and 15, respectively. The latitude and declination are of the same
name, t is less than 90°, and L is greater than b, so this problem comes under the
second precept and C-L-b. It is seen at once that the nearest value to L. that
will give C in whole degrees is 34° 33'.3. Enter this as L in line 18. C-22° 00'.
Turning again to Table VI where a=9° 30', opposite C-22° 00' take out h。=
66° 08′, and Z=24° 04′ and enter them in line 25.
R.
From Table I enter in line 21 the combined altitude correction and obtain
h。=66° 11′.6. The altitude difference (h。-he) is 3'.6, and as the observed altitude
is the greater the line of position is toward the body. The azimuth of the body
being greater than 90° and t being west, Z as taken from the tables is S. 24° 04′ W.,
or the body bears 204°. Combining lines 14 and 15 (right-hand column) gives as
the assumed longitude 65° 23'.6 W.
The assumed position, then, from which to plot the line is:

L=34° 33'.3 N.
λ=65° 23'.6 W.
A
The altitude difference is 3.6 miles toward the body bearing 204°, and the line of
position is at right angles to the bearing.
Page 192]
ALTITUDE 'AND AZIMUTH TABLES.
EXAMPLE 1.
Time: 9.30 a. m.
Bearing: S. and E.
Long. D. R.: 78° 29′ W.
Form I.
Date: May 23, 1916.
Obs. body: ✶ Regulus.
Lat. D. R.: 34° 38' N.
R. A. (Eq. t.
EXAMPLE 2.
Time: 6.30 p. m.
Bearing: S. and W.
Long. D. R.: 65° 12′ W.
R. A. (Eq. t.)
h
m
8
9h 25m 18º
4 58 00
H. D.
G. M. T.
h
m 1³.2
W. T.
6h 45m 18.
.45
C-W
4 18 02
H. D.
G. M. T.
Corr.
.5
C. T.
11 03 20.0
Corr.
3 45
R. A. (Eq. t.) 2 hrs.
2 39.4
C. C
3 45.5
R. A. (Eq. t.) hours
2 27 03.0
R. A. (Eq. t.).
2.39.9
G. M. T., 23d
10 59 34.5
R. A. (Eq. t.)
Declination
Declination.
2 39.9
Eq. t.
H.D.
0.2
R. A. M. S.
G. M. T.
.45
Corr.
+
4 03 03.6
1 48.4
H. D.
G. M. T.
Corr.
+
.1
G. S. T.
Dec. 2 hours
23 10.4
R. A.
15 04 26.5
10 03 56.2
Corr.
Dec. hours
2 24 23.1
d
S. 23 10.3
G. H, A.
5 00 30.3
d
N. 12 22.6
36° 05′.8 W.
Arc
36° 05'. 8 W
Arc
78 29.0 W.
ts
42 37.4 E.
λD. B.
65
75° 07'. 6 W.
12.0 W.
Arc
ta
42 23.2 E.
78 43.2 W.
tD. R...
9 55.6 W. λA
75° 07'. 6 W.
9 44.0 W.
65 23.6 W.
Pos. A
Pos. A
38 30
LA
28 48.7 N.
a
9 30
LA
34 33.3 N
2.0
8.3
b
30 11.3
I. C.
Corr. table
0.0
6.6
b
12 33.3
10.3
59 00.0
Corr.
6.6
C.
22 00.0
23 54.0
hs
66 18.2
24 04.3
ho
66 11.6
23 46.0
Ꮓ
S. 42° 52′ E.
hc
66 08.0
Z
24° 04′ W.
18.3 toward body bearing 137°
Diff.
3.6 toward body bearing S. 204°
[Use this space for miscellaneous data or scratch work.]

5
Date: Dec. 30, 1916.
Diff.
Obs. body: Sun.
26.
Lat. D. R.: 29° 11′ N.
25. hc.
1. W. T.
24. ho.
2. C-W.
23. hs
3. C. T.
土
​4. C. C.
22. Corr.
+
21. Corr. table
5. G. M. T., 30th
20. I. C.
6.
19.
7. Eq. t.
a.
8. R. A. M. S.
18.
9. Corr.
17.
10. G. S. T.
16. tD. R.
11. R. A.
15. AD. B.
12. G. H. A.
14. Arc.
13.

ALTITUDE AND AZIMUTH TABLES.
[Page 193
5h 50m 22*.5
2 15 10.0
H. D.
G. M. T.
Date: October 15, 1916.
Obs. body: Saturn.
Lat. D. R.: 41° 45′ N.
1. W. T.
2. C-W
EXAMPLE 3.
Time: 6.00 a. m.
Bearing: S. and E.
Long. D. R.: 32° 10′ W.
Date:
Obs. body:
Lat. D. R.:
✔
O
Time:
Bearing:
Long. D. R.:
R. A. (Eq. t.)
h
W. T
C-W
3. C. T.
Corr.
3.3
C. T.
R. A. (Eq. t.)
h
m
H. D.
h
G. M. T.
Corr.
4. C. C.
+
5. G. M. T.
6.
14th
1 15.5
8 06 48.0
20 06 48.0
R. A. (Eq. t.) 0 hours. 8 08 20.0
C. C.
R. A. (Eq. t.)
8 08 17.7
G. M. T.
R. A. (Eq. t.) hours
R. A. (Eq. t.)
Declination.
Declination.
7. Eq. t.
8. R. A. M. S.
9. Corr.
+
13 30 47.6
3 18.1
H. D.
G. M. T.
10. G. S. T.
11. R. A.
9 40 53.7
8 08 17.7
Corr.
Dec. 0 hours
++
.1
12. G. H. A.
13.
1 32 36.0
d
N.
14. Arc
15. λ D. R.
23° 09′
32 10
16. t. D. R.
9 01
W. Arc.
W. ta
E. A
23° 09'.0 W.
9 03.9 E.
32 12.9 W.)
20. 12.6
20 12.7
Eq. t.
R. A. M. S.
Corr.
G. S. T.
R. A.
G. H. A.
Arc
λ Đ. B.
H. D.
G. M. T.
Corr.
Dec. hours
d
Arc
O
t D. B.
17.
Pos.A
18. a
8 30
LA
41 26.7.N.
a
ta
Pos.A
LA
19.
20. I. C.
1.5
I. C.
21. Corr. tables
6.8
b
20 26.7
Corr. tables
b
22. Corr.
8.3
C
21 00.0
Corr.
C
23. hs
67 29.0
hs
24. ho
67 20.7
ho
25. hc
67 25.0
Z
S. 22° 38′ E. || hc
26.
Diff.
4. 3 from body bearing 1571°.
Diff.
(Use this space for miscellaneous data or scratch work.]
Z
{ from
{toward body bearing
مین
♡

63355°-17—13
Page 194]
ALTITUDE AND AZIMUTH TABLES.
Example 3.-October 15, 1916, during a. m. twilight, the sextant altitude of
ing a. m. twilight, the sextant altitude of
Saturn, bearing S. and E., is 67° 29'; W. T., 5h 50m 22.58; C-W, 2h 15m 108; C. C.,
+1 15.5; height of eye, 42 feet; I. C., -1'.5; D. R. position, L. 41° 45', X
32° 10' W. Solve for line of position.
m
See page 193 (Form 1). Enter in the form all the given data and find the G. M.T.
and date as before. Take from the Almanac and enter Saturn's R. A. and d for G. M.
noon 15th, the corrections for G. M. T. from Table IV of Almanac, the R. A. M. S.
for G. M. noon 14th, and its correction for the G. M. T.
=
Correct the R. A. and the d and enter the corrected R. A. in line 11. Now work
down the form as in example 2 and find in line 16, tD. R. 9° 01'. Enter Table VI
from below with d=20° 00' and t=9° 00', take out a=8° 30' (nearest half degree).
Reenter same table from above with a=8° 30' and d=20° 12′.7 and by interpolating
take out b=20° 26'.7 and t=9° 03'.9. Notice that this problem also comes under
the second precept, so C-L-6. Taking L-41° 26'.7, C-21° 00'.
-9°03′.9.
Turning again to Table VI, where a=8° 30' and C-21° 00′ take out h=67° 25′
and Z=22° 38'. The altitude difference obtained as before is 4'.3 from the body.
Z as obtained is S 22° 18′ E (greater than 90° and t is east) or body bears 1571°.
The A, is found as before and is 32° 12'.9 W.
The assumed position then from which to plot the line is:
LA 41° 26'.7 N.
Α
A 32° 12'.9 W.
Α
The altitude difference is 4.3 miles away from the body bearing 1573° and the line
of position is at right angles to the bearing.
SECOND METHOD.-Using an assumed position without interpolating. In this
method a is found to the nearest half degree as in the first method. Now instead
of entering with a and the given d and interpolating for b and t, enter with a and
take out b and t as found opposite that tabulated value of d which is nearest to the
given d. This tabulated value is taken out as the assumed d and marked d'. C is
obtained by combining b and L in the usual way. As b in this method will be in
whole degrees, L is taken as the nearest whole degree to LD. R. Now with a and C
take out h' and Z' (approximate values of h and Z). The values of h' and Z' are in
in error by an amount depending on the effect of Ad=d-d', the difference between
the assumed and the true declination.
The correction to Z', AZ, is always so small it may be neglected in practical
work.
The correction to h', Ah, is given by the formula:
Ah Ad cos M
M, as previously shown, is a combination of a and B. So when taking out b and
t from the tables also take out the corresponding a; and likewise 6 when taking out
h' and Z'. The manner in which a and ẞ must be combined to give M is shown in
the precepts.
To find the value of Ah per minute of declination, or its equivalent cos M, enter
the second column of Table VII with 90° - M instead of Z' in the first column. The
sign of Ah is determined as follows:
When M is less than 90°, Ah has the same sign as Ad; and for M greater than
90°, the opposite sign.
The three examples worked out by the first method will now be used to illus-
trate the second method.
Example 1.-See page 196 (Form 2). The procedure is the same as in the first
Now enter Table VI with
method, down to and including the determination of a.
a = 38° 30′ and find d' = 23° 02′ (the tabulated value nearest to the given d). Enter
it in the form, line 12, and take out and enter the values of b, t, and a as found oppo-
site d'. Now take L=29° 00′ (the nearest whole degree to LD. R.). C is now
obtained by combining b and L as before, and this gives C-59° 00'.
With a = 38° 30′ and C-59° 00', take out h', Z', and B. As this example comes
under the fourth precept, M=a+B=140°.1, Ad=d-d'=8'.3.
Entering the first column of Table VII with 90°-M-90°-140°.150°.1, cos

M is found to be 0.77, and this multiplied by Ad=8'.3 gives 6'.3 as the value of Ah.
ALTITUDE AND AZIMUTH TABLES.
[Page 195
Referring to the rule given above for determining the sign of Ah, it is seen that
as M is greater than 90°, and Ad is plus, Ah is minus. Applying Ah to h' gives he
23° 39'.7. The altitude difference is 24'.6. Neglecting AZ, the bearing of the body
is S 42° 52′ E, or 137°. The longitude, A, is found to be 78° 39′.8.
The assumed position, then, from which to plot the line is:
L, 29° 00' N
№ 78° 39′.8 W
The altitude difference is 24.6 miles toward the body bearing 137°, and the line of
position is at right angles to the bearing.
Example 2.-See page 196 (Form 2). Entering Table VI from above with a =
9° 30', take out d'-12° 49'; also the corresponding t, b, and a. L is taken as
35° 00'; then C-L-b-22° 00'. Now with a 9° 30' and C-22° 00', take out
h', Z', and ß. By the precepts, Ma-B-20° 00'. Add-d' — — 26'.4. From
Table VII, cos M is 0'.94; and hence AdXcos M▲h=26.4+0.94 = 24′.8.
A
In this example, since M is less than 90°, Ah is minus like Ad. Applying Ah to h'
gives h=65° 43'.2; and the altitude difference is 28'.4 toward the body bearing S
24° 04' W, or 204°. The A is found to be 65° 22′.6 W.
A
The assumed position, then, from which to plot the line is:
LA 35° 00' N
A 65° 22′.6 W
A
The altitude difference is 28.4 miles toward the body bearing 204° and the line of
position is at right angles to the bearing.
A
Example 3. See page 197 (Form 2). Entering the tables from above with a =
8° 30′, take out d'=19° 46', also the corresponding t₁, b, and a. Take L₁ = 42° 00',
and combining it with h, gives C-22° 00'. Now enter with a = 8° 30′ and C=22° 00′
and take out h', Z', and B. By the precept, M=a-ẞ=16°.1. Ad=26.7. From Table
VII cos M is 0.96; and hence Adx cos M = Ah=26.7 × 0.96 = 25'.7. Since M is less
than 90°, Ah is plus like Ad. Applying Ah to h' gives h=66° 54'.7, and the altitude
difference is 26.0 toward the body bearing S 21° 45′ E, or 158°. The X is found to be
32° 11' W.
The assumed position, then, from which to plot the line is:
LA 42° 00' N
Α
A 32° 11' W
The altitude difference is 26.0 miles toward the body bearing 158°, and the line of
position runs at right angles to the bearing.
THIRD METHOD.-Using the D. R. position. This method is the least desirable for
the practical navigator in that it involves interpolating and also the correcting of the
h and Z obtained. It is given here because the line is plotted from the D. R. position,
and its use may be desirable when tp. R. -t is large, when the altitude difference is
large, or when two or more lines of position are to be plotted simultaneously.
The values of a and b are obtained by using t instead of to. R. as in the first
method. Then b is combined with LD. R. to get C. C will seldom come out in whole
degrees, so entering the tables with a and Cit will be necessary to interpolate for h'
and Z'. Since the h' and Z' obtained are for LD. R. and t₁, they must now be corrected
for the effect of t». r. —t、, or At.
R.
The formulas are:
Ah = At X
sh
At'
in which
Ah
At
+ cos L sin Z'.

A₁Z= At X
A, Z
At,
in which
A,Z
At
- sin L.
A₂ Z = Ah × 4₂Z
in which
sh'
Δ.Ζ
Ah
ΔΖ = Δ.Ζ + Δ.Ζ.
- tan h' cot Z'.
In Tables VII and VIII are given the values of the coefficients
arguments being the elements shown in the above formulas. Above the tables Ah A,Z
A₂Z
and
the
'
At shAt
are
Page 196]
ALTITUDE AND AZIMUTH TABLES.
EXAMPLE 1.
Time: 9.30 a. m.
Bearing: S. and E.
Long. D. R.: 78° 29′ W.
Form 2.
Date: May 23, 1916.
Obs. body: ✶ Regulus.
Lat. D. R.: 34° 38′ N.
EXAMPLE 2.
Time: 6.30 p. m.
Bearing: S. and W.
Long. D. R.: 65° 12′ W.
R. A. (Eq. t.)
R. A. (Eq.t.)
h m
9h 25m 18s. 0
4 58 00.0
H. D.
G. M. T.
0m 1³.2
W. T.
6h 45m 18. 0
H. D.
.45
C-W
4 18 02.0
G. M. T.
Corr.
.5
3 45.0
R. A. (Eq. t.) 2 hrs
2 39.4
C. T.
C. C.
11 03 20.0
Corr.
3 45.5
R. A. (Eq. t.) hrs
2 27 03.0
R. A. (Eq. t.)
2 39.9
G. M. T. 23d
10 59 34.5
R. A. (Eq. t.)
Declination.
Declination.
2 39.9
H. D.
G. M. T.
+ 0° 00′.2
Eq. t.
H. D.
.45
R. A. M. S.
4 03 03.6
G. M. T.
Corr.
+
.1
Corr.
+
dec. 2 hrs
23 10.4
d
S. 23 10.3
G. S. T.
R. A.
1 48.4
15 04 26.5
Corr.
dec. hrs
10 03 56.2
d
N. 12 22.6
2 24 23.1
ď
23 02
G. H. A.
5 00 30.3
ď
12 49.0
Ad
+
8.3
Δα
26.4
36° 05'. 8 W.
Arc
36° 05'. 8 W.
Arc
75° 07'. 6 W.
Arc
75° 07'. 6 W.
78 29.0 W.
ts.
42 34.0 E.
XD. B.
65
12.0 W.
ta
9 45.0 W.
42 23.2E.
78 39.8 W.
tD.B.
9 55.6 W.
65 22.6 W.
Pos.,
Pos. A
38 30
LA
29 00
N.
a
9 30
b
30 00
LA
b
35
00
N.
13 00
∞ IN
C
59 00
I. C.
0.0
22 00
8.3
Corr. table
6.6
10.3
α
70. 4
Cor.
6.6
87.8
α
23 54.0
β
69.7
hs
66 18.2
B
67.8
24 04.3
M
140. 1
ho
66 11.6
M
20.0
23 46.0
h!
6.3
Ah
66 08.0
24.8
23 39.7
Z S. 42° 52′ E.
hc
65 43.2
น
S. 24° 04′W,
24.6 toward body bearing 137°
Diff.
28.4 toward body bearing 204°
[Use this space for miscellaneous data or scratch work.]
Date: December 30, 1916.
Diff.
Obs. body: Sun.
28.
Lat. D. R.: 29° 11′ N.
27. hc
1. W. T.
26. Ah
2. C-W
25. h'
3. C. T.
24. ho
4. C. C.
23. he
+
+
5. G. M. T. 30th
22. Corr.
6.
++
7. Eq. t.
21. Corr. table
8. R. A. M. S.
I. C.
9. Corr.
20. 10. G. S. T.
19.
11. R. A.
18. a
12. G. H. A.
17.
13.
16. tD.R.
14. Arc
15. λD. R.

ALTITUDE AND AZIMUTH TABLES.
[Page 197
EXAMPLE 3.
Time: 6.00 a. m.
Bearing: S. and E.
Long. D. R.: 32° 10′ W.
Date:
Obs. body:
Lat. D. R.:
о
R. A. (Eq. t.)
5h 50m 22s.5
2 15 10.0
H. D.
G. M. T.
h
m
W. T.
h
m
C-W
Corr.
2.3
C. T.
1 15.5
R. A. (Eq. t.) 0, hrs
8 08 20.0
C. C.
8 06 48.0
R. A. (Eq. t.)
8 08 17.7
G. M. T.
Time:
Bearing:
Long. D. R.:
H. D.
G. M. T.
Corr.
O
R. A. (Eq. t.)
R. A. (Eq. t.)
R. A. (Eq. t.)
hrs
h
m
Declination.
20 06 48.0
Declination.
13 30 47.6
H. D.
G. M. T.
Eq. t.
H. D.
O
R. A. M. S.
G. M. T.
3 18.1
9 40 53.7
Corr.
+
.1
Corr.
Corr.
dec. 0 hrs
+20 12.6
G. S. T.
dec. hrs
8 08 17.7
d
N. 20 12.7
R. A.
d
1 32 36.0
ď
19 46.0
G. H. A.
ď
Ad
+
26.7
Δα
23° 09′
W.
Arc
23° 09′ W.
Arc
Arc
32 10 W.
ts
9 02 E.
XD.B.
ts
9 01 E.
32 11 W.)
tD.B.
Pos.A
Pos.A
8 30
LA
42 00 N
2
LA
b
b
20 00
1.5
C
22 00
I. C.
C
6.8
Corr. table
8.3
87. 1
Corr.
α
α
67 29.0
β
71.0
hs
67 20.7
M
16. 1
ho
B
M
66 29.0
h'
25.7
Ah
66 54.7
Z
S. 21° 45′ E.
hc
26.0 toward body bearing 158°
Diff.
2
{ toward } body bearing
[Use this space for miscellaneous data or scratch work.]
Date: October 15, 1916.
Obs. body: Saturn.
Lat. D. R.: 41° 45′ N.
+
1. W. T.
Diff.
2. C-W
28.
3. C. T.
27. hc
+
4. C. C.
26. Ah
25. h'
5. G. M. T.
24. ho
14th
6.
23. hs
22. Corr.
7. Eq. t.
21. Corr. table
8. R. A. M. S.
20. I. C.
9. Corr.
19.
+
17.
18. a
10. G. S. T.
16. td. B.
11. R. A.
15. λD. B.
12. G. H. A.
14. Arc
13.

Page 198]
ALTITUDE AND AZIMUTH TABLES.
also given the precepts for determining their signs. The correction AZ is generally
negligible, unless At is large. The same examples which were solved by the first and
second methods will now be worked out to illustrate the third method.
Example 1.-See page 200 (Form 3). The value of a is determined as before, and is
79°
50°
40'
30
20'
10'
78°

Example 1
P₂Q
P3Q
Alt-diff 24.6
PaAlt-diff.-18.3
Alt-diff.-26.3
Line of Position
10′
29°
४.
50'
40′
A
30'
38° 30'. Now entering the tables with this a and d=23° 10′.3, take outb-30° 11'.3 and
t₁ = 42° 37′.4. b is combined with LD. R. and gives C 59° 22′.3.
and gives C=59° 22′.3. Enter with a and C
and by interpolating take out h′ = 23° 29′.6 and Z' 42° 45'. Now At=td.r. - ts - 14.2.
and enter them with their
Ah. AZ
At' At
and 4Z
Ah
Turn to Tables VII and VIII and take out
proper signs in lines 19, 24, and 26, respectively.
14′.2× — .59 = +8′.4 4Z=At×¹Z
Ah
Ah = At X
— — —
At
· 14'.2X+.49 = −7'
At
A₂Z=Ah×
Δ.Ζ
sh
+8'.4× -.48= – 4'.
Applying Ah to h′ gives h=23° 38′.0, and applying AZ and AZ to Z' gives
Z=42° 34'
The altitude difference is 26.3 miles toward the body bearing S 42° 34′ E, or
1371°, and the line is plotted from the D. R. position.
Example 2.-See page 200 (Form 3).—Entering the tables with a=9° 30′ and

66°
50'
40'
30'
20'
10'
65°
9P2
-35°
Example 2

Alt. diff. = 28.4
50°
40'
OP3
Line of Position
A
OP
Alt-diff = 11.7
30'
d = 12° 22′.6, take out b=12° 33'.3 and t=9° 44'. C-LD. R.-b-22° 04'.7. Enter
with a and C and by interpolation find h′ = 66° 03′.7 and Z' = 23° 59′. At=+11′.6.
ALTITUDE AND AZIMUTH TABLES.
Page 199]
From Tables VII and VIII take out
Ah 4,Z
At' At'
Δ.Ζ
Ah
and with their proper signs. The
corrections Ah, AZ, and A,Z are obtained as explained in example 1; applying them
to h' and Z' we find h. =65° 59′.9 and Z=24° 25′.
The altitude difference is 11'.7 toward the body bearing S 24° 25′ W, or 2041°,
and the line is plotted from the D. R. position.
Example 3. See page 201 (Form 3). Entering Table VI with a=8° 30′ and
50'
40
30
20
10'
.32°
50'

P₂Q
42°
Example 3
P3Q
Alt-diff. = 26.0
Alt-diff.-12.0
50
Line of Position
A
OP
30°
d=20° 12'.7, take out b=20° 26'.7 and t=9° 03'.9. C-LD. R.-b-21° 18'.3. Enter
with a and C and by interpolating take out h'-67° 07'.9 and Z' -22° 22′. At-
Ah A₁Z A₂Z
At' At'
and
-2'.9. From Tables VII and VIII take out
with their proper signs.
Ah
The corrections Ah, AZ, and AZ are obtained as before. Applying them to h' and
Z' gives h=67° 08′.7 and Z=22° 15′.
The altitude difference is 12.0 miles toward the body bearing S 22° 15′ E, or
1572°, and the line is plotted from the D. R. position.
The three lines of position, determined by the solutions of the three foregoing
examples, are charted in the accompanying diagrams. The line of position from
each example falls in the same place-as of course it should-whether laid down from
P1, P2, or P3, the respective points indicating the geographical positions from which
the altitude differences are to be reckoned in the three solutions of each example by
the three different methods.

Page 2001
ALTITUDE AND AZIMUTH TABLES.
EXAMPLE 1.
Time: 9.30 a. m.
Bearing: S. and E.
Long. D. R.: 78° 29′ W.
Form 3.
Date: May 23, 1916.
Obs. body: Regulus.
Lat. D. R.: 34° 28′ N.
EXAMPLE 2.
Time: 6.30 p. m.
Bearing S. and W.
Long. D. R.: 65° 12′ W.
R. A. (Eq. t.)
R. A. (Eq. t.)
h m
9h 25m 18.0
4 58 00.0
H. D.
G. M. T.
h
☐ 15.2
W. T.
6h 45m 188.0
.45
C-W
Corr.
.5
C. T.
4 18 02.0
11 03 20.0
H. D.
G. M. T.
Corr.
3 45.0
2 27 03.0
R. A. (Eq. t.) 2 hrs
2 39.4
C. C.
3 45.5
R. A. Eq. t.)
2 39.9
G. M. T. 23d
10 59 34.5
R. A. (Eq. t.) hrs
R. A. (Eq. t.)
Declination.
Declination.
2 39.9
H. D.
+ •
1.2
Eq. t.
G. M. T.
.45
R. A. M. S.
4 03 03.6
H. D.
G. M. T.
Corr.
+
.1
Corr.
+
dec. 2 hrs
23 10.4
G. S. T.
1 48.4
15 04 26.5
Corr.
dec. hrs
d
S. 23 10.3
2 24 23. 1
LD. B.
29° 11'.0
R. A.
G. H. A.
10 03 56.2
d
N. 12 22.6
5 00 30.3
Ld. R.
34° 38'.0
b
30 11.3
b
12 33.3
36° 05'. 8 W.
C
59 22.3
Arc
75° 07'.6 W.
C
22 04.7
78 29.0 W.
42 23.2 E.
tD. B.
42 23.2
XD.B.
tD. B.
65
12.0 W.
9 55.6 W.
tD. B.
ta
42 37.4
ts
38 30
At
14.2
a
9 30
At.
+
Ah.
.59
Ah.
9 55.6
9 44.0
11.6
.33
2.0
At
I. C.
0.0
At
8.3
Ah
+ 8.4
Corr. tables
6.6
Ah.
3.8
10.3
Corr.
6.6
23 54.0
7
42° 45'
hs
66 18.2
7..
23° 59
24 04.3
Δ.Ζ
+. 49, A₁Z
7
ho
66 11.6
+ .57,4,Z
+
7
23 29.6
Δι
h'
8.4
A₂Z.
48, A2Z
4
Δη
66 03.7
3.8
A t
A2Z
5. 11, A₂Z
+
19
23
38.0
A h
Z = S. 42 34 E.
hc
65 59.9
Ah
Z
S. 24 25 W.
26.3 toward body bearing 1371°
Diff.
11.7 toward body bearing 204°
[Use this space for miscellaneons data or scratch work.)

Date: December 30, 1916.
Diff.
Obs. body: Sun.
28.
Lat. D. R.: 29° 11′ N.
27. hc
1. W. T.
+
2. C-W
26. Ah
3. C. T.
25. h'
4. C. C.
24. ho
+
23. hs
5. G. M. T. 30th
+ + 6.
+
7. Eq. t.
22. Corr.
1
8. R. A. M. S.
21. Corr. table
9. Corr.
20. I. C.
10. G. S. T.
19.
18. a
11. R. A.
17.
12. G. H. A.
16. tD.B.
13.
15. λD. B.
14. Arc
ALTITUDE AND AZIMUTH TABLES.
[Page 201
EXAMPLE 3.
Time: 6.00 a. m.
Bearing: S. and E.
Long. D. R.: 32° 10′ W.
Date:
Obs. body:
Lat. D. R.:
о
Time:
Bearing:
Long. D. R.:
R. A. (Eq. t.)
h
m
H. D.
h
m
B
G. M. T.
Corr.
O
R. A. (Eq. t.)
5h 50m 22s. 5
H. D.
h
m
W. T.
2 15 10.0
G. M. T.
C-W
Corr.
2.3
C. T.
1 15.5
8 06 48.0
20 06 48.0
R. A. (Eq. t.) 0 hrs
8 08 20.0
C. C.
R. A. (Eq. t.)
8 08 17.7
G. M. T.
Declination.
13 30 47.6
+ 3 18.1
9 40 53.7
8 08 17.7
H. D.
G. M. T.
Corr.
dec. 0 hrs
Eq. t.
R. A. M. S.
+
.1
Corr.
+20 12.6
G. S. T.
d
N. 20 12.7
R. A.
1 32 36.0
LD. B.
41° 45'
G. H. A.
b
20 26.7
23° 09′ W.
C
21 18.3
Arc
32 10
W.
9 01
E.
tD. B.
ts
9 01
9 03.9
XD. Boo
td. B.
8 30
At
2.9
a
Ah.
.28
1.5
ΔΙ
I. C.
6.8
Ah
+
.8
Corr. table
8.3
Corr.
67 29.0
Z.. 22° 22'
hs
67 20.7
A₁Z....+.65, AZ
2
ho
67 07.9
I t
h'
+
0.8
67 08.7
12.0 toward body bearing 1573°
Δ.Ζ.
Ah
5.80, A₂Z..
5
LO
Ah
Z=S. 22 15 E.
hc
Diff.
[Use this space for miscellaneous data or scratch work.)
R. A. (Eq. t.)
R. A. (Eq. t.)
hrs
H. D.
G. M. T.
Corr.
dec. hrs
d
Lid. B.
b
111
tD.B.
ta
At
Ah
At
Ah
Declination.
O
Z.
Δ.Ζ
,4,2
▲ t
A2Z..
, A2Z
Δη
from
toward } body bearing
Z

Date: October 15, 1916.
Obs. body: Saturn.
Lat. D. R.: 41° 45′ N.
28. Diff.
1. W. T.
27. hc
2. C-W
26. Ah
3. C. T.
25. h'
4. C. C.
24. ho
+
23. hs
5. G. M. T.
22. Corr.
14th
6.
21. Corr. table
20. I. C.
7. Eq. t.
19.
8. R. A. M. S.
18. a
9. Corr.
17.
10. G. S. T.
16. tD. B.
11. R. A.
15. λD. B.
12. G. H. A.
14. Arc
13.

"
57.29
Page 202]
114.6
8

B
b
h
d
a =
Co
A
0° 0'
Z
t
h
a = 0° 30'
a = 1° 0'
d bo'
A
t A
Z
60 h
d 60'
A
t
Z
60 C
C
I
I
I
1
6
8
34
234
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50 70
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2
о
I
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30
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16
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17
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21
22
23
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21
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22
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32
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22
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2626
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25
26
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7
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31
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54
89.6
89.6
52 89.6
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89.6
50
89.0
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42
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89.6
43143
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43
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41
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47
89.5
23
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89.5
45 45
45
42
44 59
25
45
89.5

60'
66
Δ
60'
(
b
α
b
a
b
Δ
Δ
60'
A
60'
이혼
​α
d = 0° 0'
d = 1° 0′
d = 0° 30′
8
[Page 203
114.6
57.29

b
a = 0° 0'
d 60'
B
h
A
Ꮓ
h
a=0° 30′
d 60'
A
a = 1° 0'
C
α
t
Δ
d 60
t
A
Z
60 h
Δ Z
C
В
0
45
46
056
+4
о
O
•
45
45
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0.02 44 59
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25 0.02 45
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46
46
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26 .03 44
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48
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28 .03 43
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84 54 1.02 II 20
85 53 1.05 14 3
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60'
60'
Δ
60'
A
a
b
α
b
a
b
α
Δ
A
Coʻ
A
60′
t
d = 0° 0′
d = 1° 0'
d = 0° 30'
Page 204]
22.90
38.19
28.64

b
a = 1° 30′
d 60'
a = 2° 0'
a = 2° 30'
C
a
t
A
d 60
t
A
d. 60'
t Δ
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h
A
Z
600h
Δ
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60'
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A
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β
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60
A
60'
A
60'
A
a
b
a
b
α
b
α
Δ
60'
Δ
60'
Δ
60
t
d = 1° 30′
d = 2° 30′
d = 2° 0′
38.19
[Page 205
28.64
22.90

b
Bh
a = 1° 30'
d 60'
45 44 59
t
A
a = 2° 0′
d 60'
a =
= 2° 30'
C
a
A
A
Z
60h
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60h
d 60'
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t
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Page 206]
14.30
19.08
16.35

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[Page 207
16.35
14.30

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Page 208]
10.39
12.71
II 43

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[Page 209
II.43
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Page 210]
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8.777
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Page 212]
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60'
A
60'
A
60'
α
b
α
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α
b
A
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A
বাঙ
α
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t
d = 7° 30'
d = 8° 30′
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[Page 213
7.115
6.691

b
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чылы
52
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79
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80 24 1.67 51 33
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87
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60'
Δ
a
b
60'
Δ
60'
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b
A
α
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60'
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60'
Δ
60
t
d = 7° 30′
d = 8° 30°
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Page 214]
5.671
6.314
5.976

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a = 9° 0'
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600h
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a = 9° 30′
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Δ
t
A
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a
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86.4
46
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18
51 .08 67
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50
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84.6
38
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59
84.3
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84.I
52
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83.6
35 34 30 1.02
301.02
36 35 29 1.02
37 36 28 1.02
38 37 27 1.02
39 38 26 1.02
40 39 25 1.03
41 40 23 1.02
231.02
42 41 22
1.02 12
43 42 21 1.03
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83.4
4I
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50
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27
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82.9
22
31
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82.7
12
9
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80.9
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38
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45
80.6

60'
60'
α
b
α
b
A
60'
Δ
18
A
60'
α
b
60'
A
বাঃ
a
60'
t
d = 9° 0′
d = 10° 0'
d = 9° 30′
6.314
[Page 215
5.976
5.671

B
b
h
a = 9° 0′
d 60'
A
Ν
tA
60' h
a = 9° 30′
d 60'
t
Δ
d 60'
t A
A
Ꮓ
60h
a = 10° 0'
Z
A
C
a
C
B
60
O
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47 46 15 1.03
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53 52 4 1.03
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55 54
01.03
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5678
∞∞∞∞∞
88
89
21.03 15 5 .35 52 56 1.03
57 55 56 1.05
58 56 53 1.03
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16 13
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18
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62 60 42 1.05
63 61 39 1.05
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41 15 2.68 75 II 1.40 42 44 2.70 II
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86
87
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39
78.5
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77.6
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77.2
17 50.42 35
76.7
30 .43 34
76.2
56.47 33
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32
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74.6
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30
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27
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26
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73.4
72.8
72.1
71.3
21
22 22
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22 39 0.78
25
70.5
23 26.85
24
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24 17 .92
23
68.8
67.8
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66.7
20
65.6
19
18
16
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64.4
63.1
61.6
60. I
15
58.4
14
56.5
13
54.4
12
52.2
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43.8
40.4
36.6
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t
18 6.67 78 13
27 20.0 84 3
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30
90 О
80
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90
60
a
A
b
+18
α
60'
A
> 18
b
A
60
α
b
A
a
60
A
60′
5432 1
27.9
23.0
17.6
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d = 9° 0'
d=10° 0'
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Page 216] 5.396
4.915
5.145

b
a =
- 10° 30′
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A
a = 11° 0'
à 60
a = 11° 30′
C
a
B
h
A
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3
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60'
A
60′
A
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a
b
a
b
a
b
Δ
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A
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Oh
60'
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d = 10° 30′
d = 11° 30'
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5.396
[Page 217
5.145
4.915

Ъ
a = 10° 30'
a = 11° 0'
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16 5
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50
51
49 50 1.05
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1.05
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64.7
63.6
74
81
70 67 31 1.15
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35 36 1.85 71 28 1.25
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32 10 1.45 68
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61.0
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0.0
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A
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b
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d = 11° 30′
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Page 218]
4.332
4.705
4.511

b
a = 12° 0'′
d 60
a =
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48
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22 0.13 29
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82.9
30.15 30
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82.6
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31.03
24
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81.4
20
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561.03 55
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54
31
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16 7
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53
43
81.1
80.7
18
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45
43
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20
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55
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25
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77.8

60'
a
b
A
60'
a
b
A
60'
Δ
+18
60'
A
α
b
α
60'
A
60'
t
d = 12° 0'
d = 13° 0′
d = 12° 30'
4.705
[Page 219
4.511
4.332

B
b
h
a = 12° 0'
d 60'
A Z
t
A
600h
a = 12° 30′
d 60'
a = 13° 0'
C
a
A
d 60'
t
A
Z
60' h
A
Z
C
B
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77.4
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42
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331 43
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76.5
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57
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40
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23
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76.0
50 48 32 1.05
18 18 0.37 48 24 1.05
19
20.37 48 17 1.07
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51 49 29 1.05
52 50 26 1.07
53 5.1 22 1.05
54 52 19 1.07
40.38
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33.43 3874.5
20 13
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56 54 11 1.07 49 .5° 54 21.07
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58 56 31.07 51.58
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37
74.0
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35 72.8
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Page 220]
3.867
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4 165
[Page 221
4.011
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80.9
80.5
80.2
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79.4
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45 .25 53
78.6
78.2
38
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77.8
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17
33
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54 0.28 38 10 1.07
20 II .28 39 61.07
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77.4
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76.9
42 40 16 1.07
50
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20 7
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60'
A
60'
α
b
a
b
Δ
60
Δ
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60′
A
α
b
α
60'
A
60'
t
d = 15° 0'
d = 16° 0′
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3.733
[Page 223
3.606
3.487

b
a = 15° 0'
a = 15° 30′
a = 16° 0'
C
a
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t A
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Δ
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60 h
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47
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46
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67.6
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27 37
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28 25
68 32
66.8
59
53 1.13 27 29
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28 18
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29 6
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31
66.0
60
56 46 1.13|28 11 0.75 56 34 1.15
0.7556 341.15
61 57 39 1.15 56.78 57 26 1.15
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29 I
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61.40 42 52 1.58
73 67 29 1.40 42 30 1.68 67 91.40 43 29 1.70 49 1.43 44 27 1.68
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74 68 12 1.40 44 II 1.80 52 1.43 45 11 1.80 67 31
31 1.46 46 8 1.80
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33 16 1.02 60 36 1.22 34
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34 27 1.1362 30 1.22 35 22 1.15 62 14 1.25 36 17 1.15
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36 31 1.22 63 21.28 37 26 1.23 22
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22
25
60.2
59.0
23
57.8
56.5
21
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20
53.7
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48.8
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76
77
78
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15
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14
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∞ ∞ ∞ Co
234
87
88
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81
80 72 21.88 57 32.67
34 2.07 59 43 2.83 72
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52 3.00 68 41
41 3.30
82
83
84
85
86
89
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43 6.67 78 57 3.63
52 10.0 82 353.68
58 30.0 86 16 3.73
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90 75
37 1.94 57 57 2.62 71 12 2.00 58 48 2.58
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22.73 66 17 3.07
24 3.00 69 21 3.20
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533.43
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22
9 2.40 64 7 2.87
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30.7
7
27.7
24.7
21.5
18.1
14.7
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7.4
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3.7
0
0.0
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α
90 O
30
90 О
74 О
60'
Δ
b
60'
α
b
A
60'
A
118
A
60'
A

a
b
a
60'
Δ
60
d = 15° 0'
d = 16° 0′
d = 15° 30'
Page 224]
3.172
3.376
3.271

b
a = 16° 30'
a = 17° 0'
a = 17° 30'
d 60'
t A
d 60'
B
h
A
7
60' h
Z
C
a
t
A
d. 60'
t A
60'h
A
2
60'
C
B
18
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1.03
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1.05
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89.7
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4 48 1.05
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5 44 1.03
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4 0.02
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18 .05 10 29 1.05
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86.4
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85.8
15
16
17
18
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16 17 1.05
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19
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13
18
24
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34 0.08 14 17 1.05
5 0.08 75
85.5
8
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39
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23
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22
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82.6
25
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18
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23
22
28
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19
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81.5
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29 27 42 | 1.05
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16
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80.8
30
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53
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∞ ON I
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12
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24 .20 58
80.0
79.6
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3533 22
43
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3634 181.05
37
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3836 11 1.07
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40 38 31.07
41
59 1.07
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40 50 1.07
44 41 461.09
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53 0.23 33 16|1.07
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49 .2356 78.8
36
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20 7 .23 34 12 1.07
42
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18 25 54
78.0
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57
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33
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36
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52 .28 37
4 1.07 21 12
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28
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49
22 5
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76.7
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26
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45 0.30 37 49 1.09
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22
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40
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44
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24
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23
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40 .37 46
74.2
44
42 33
23
42 24
24 2
45
73.7

60'
A
60'
α
b
α
b
A
60'
A
48
60'
A
α
b
a
60'
A
60'
t
d = 16° 30′
d = 17° 30'
d = 17° 0'
3.376
[Page 225
3.271
3.172

b
a = 16° 30′
a = 17° 0'
a = 17° 30'
C
a
d 60'
B
h
A
t Δ
Z 60'
d 60'
t
Δ
d 60'
t
A
h
A Ꮓ
60h
Δ Z
60'
O
O
42 41 1.09
46 43 36 1.09
23
47 44 31 1.09
48 45 26
1.09
29
53
22 44 0.37 42 33 1.09 || 23 23
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49 .42 43
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72.0
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I. II
59
45 46 2 I.II
40 .47
4I
71.4
없었​었었​엉
​53
72
10 DO 85 NMT MONO. 2 KAM
51
50 47 16
51 48 10
52 49 4 I. II
54 50 52 1.11
55 51 46 1.13
5652 39 1.13
57 53 32 1.15
5854 241.15 29 12
59 55 161.15 54
60 56 8 1.15
01.18
61 57
62
63 58 41 I.20 33 7
1.11
4-4
0.47 47
61.11
25 26 0.48 56 1.11
26 8 0.48
8 0.48
40
70.8
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25 12
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37
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39
70. I
27 7
53
38
69.5
581.11
26 12
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1.13
56
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39
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37
68.8
45
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1.13
27
29
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301.13
28 13
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36
68.I
27 19
55
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||
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1.13|| 28
4
40
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48
0.62
35
67.3
29 25 .65
34
66.6
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71.15
30 4
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65.8
59
.72
59 1.18
45 .72
.75 55 41.18
30 42
75
54 50 1.18
31 28 -77
33
32
64.9
31
64. I
30 39
0.78
55 1.18
31 27
0.78
55 411.18
55 41 1.18
32 14 0.80 30
63.1
31 26
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1.20
32 14
.83
56 32 1.20
33 2 .85 29
62.2
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1.20
1.20
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61.2
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3
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27
60.2
35 44
1.00
26
59. I
65 60 20 1.22 35
21.03 60 51.25
35 53
1.05 48 1.25
36 44 1.05
25
57.9
66 61
67
1.28
1.30
71 65
74
1.80
91.25 35 41.10 53 1.25
57 1.25 37 10 1.17 61 41
68 62 45 1.28 38 20 1.25 62 28
69 63 32 1.33 39 35 1.32 63 14 1.33
14 1.33
70 64 17 1.33 40 54 1.40 59 1.36 41 48 1.40 63 40 1.40 || 42 40 1.42
21.36 42 18 1.48 64 43 1.40 43 12 1.50 64 23 1.40 44 5 1.50
461.40 43 47 1.58 65 26 1.43 44 42 1.58 65 6 1.46 45 35 1.58
||
73 66 29 1.46 45 22 1.68 66 8 1.46 46 17 1.68 47 1.50 47 10 1.67
49 1.50 47 58 1.78 66 27 1.54 48 50 1.78
1.92 67 29 1.58 || 49 45 1.90 67 6 1.62
61.62 50 37 1.88 15
2.02 68 71.67 51 39 2.00 43 1.67 52 30 2.00 14
68 19 1.76 54 30 2.10
||
13
36 56
1.12 60 36 1.28
1.28 37 47 1.12
24
56.7
38 3
39 13
40 28
1.17 61 23 1.28 38 54 1.18
1.25 62 10 1.33 40 5 1.25 22
1.33
551.33 41 20 1.33
23
55.4
54. I
21
52.7
20
51.2
ΙΟ
49.7
18
48.0
∞∞∞∞∞
1234
d = 16° 30′
89
90
30
90 O
73
90 O
30
90
60'
A
60'
A
60'
A
α
Ѣ
α
b
a
b
a
Δ
60'
A
60'
A
60
t
d = 17° 0′
d-17° 30′
80
81
67 10 1.50 47 3
75 50 1.54 48 51
76 68 29 1.62|| 50 46
77 69 6 1.67 52 47 2.15 43 1.71 53 39 2.13
78 42 1.82 54 56 2.28 69 18 1.88 55 47 2.25
79 70 15 1.88 57 13 2.40 50 1.94 58 22.37
70 21 2.07 60 24 2.50 55 2.14 61 10 2.45 ΤΟ
502.31
50 2.31 62 54 2.62 70 23 2.31 63 37 2.57
16 2.61 65 31 2.75 492.61 66 11 2.68
39 2.86 68 16 2.85 71 12 3.00 68 52 2.80
32 3.53 71 40 2.88
49 4.00 74 33 2.98
45.45 77 323.05
15 7.50 80 35 3.10
23 12.083 41 3.15
28 30.086 50 3.17
82
84
47 2.07 59 37 2.55
71 16 2.22|| 62 10|2.67
43 2.50 64 50 2.80 71
83 12 7 2.86 67 38 2.93
28 3.16 70 34 3.0372
47 4.00 73 36 3.15
25.00 76 45 3.23
14 6.67 79 59 3.30
23 12.083 17 3.35
28 30.0 86 38 3.37
85
86 73
56700
∞∞∞∞∞
87
88
3-33 71 7 2.97
184.00 74 5 3.07
335.00 77 93.13 72
45 7.50 80 17 3.20
53 12.0 83 29 3.25
58 30.0 86 44 3.27
σ
5 16.7
54321
13.5
10.2
6.8
I
3.4
0.0
O
17
46.3
16
44.4
42.5
40.5
38.3
53 1.88 56 36 2.22 I 2
69 25 2.00
69 25 2.00 58 49 2.35 II
36.0
33.6
31.1
98 76
28.4
25.7
22.8
19.8
(

63355°-17-15
Page 226]
2.904
3.078
2.989

b
a = 18° 0'
B
h
d 60'
A
t
Δ
d
60'
Z
60'h
Oo
I
O 1.05
57 1.05
18
00.00
O
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234
367∞
I 54 1.05
I
.00
2 51 1.05
3 48 1.05
4 45 1.05
5 42 1.05
6 39 1.05
12
I
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3 481.05
468
4 0.03
4 45 1.07
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5 41 1.05
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6 38 1.05
8
7 36 1.05
ΙΟ
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7 35 1.05
9
8 331.05
13.05
8 32 1.05
34 0.03
36 .03
38.03
40 .05
43 .05
Oo
a = 18° 30′
Δ
O 1.05
57 1.05
I 54 1.05
2 51 1.05
t A
Z 60 |
18 30
18 30 0.00
30
33333
0123
31
32
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.02
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33 .02
2 50 1.05
a = 19° 0'
C
a
d 60
t
A 2
রাঃ
C
B
60'
•
о
O 1.05 19
00.00
0.00
57 1.05
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4 0.03 85
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88.7
88.I
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81
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24
28
32
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86.I
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77
85.8
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76
85.5

17
4079
15 14 15 1.05
16
18 17
19 18
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61.07
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55
36 0.08 14 12 1.05
6 0.08 14 10 1.07
37 0.08 75
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17
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20
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2222
19 56 1.07
20 52 1.05
21 49 1.07
21
22
23
24
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25 23 42 1.07
26 24 38 1.05
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28 26 31 1.07
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29 27 27 1.05
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30
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32 30 16 1.07
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56.18 27 17 1.07
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48 0.17 65
81.6
58.17 64
81.2
21 8
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80.8
18
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80.4
29
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61
80.0
410.20
60
79.6
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38 0.25
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28
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44
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19
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45 72.4
60'
a
b
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60'
A
60'
A
α
b
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b
A
60'
A
60'
A
60'
t
d = 18° 0'
d = 19° 0'
d = 18° 30'
3.078
[Page 227
2.989
2.904

0
b
a = 18° 0'
d 60'
tA
d 60'
Bh
A
Z
600h
A
45 42 16
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4643 10 1.11 25 4
47 44 41.11
a = 18° 30'
a = 19° 0′
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a
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t
Δ
Ν
60' h
A
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B
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71.11 25 19
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52 48 32 1.13
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49.55 48 21 1.13
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55 51 10 1.15 29 32 0.63
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30 0.50 46 25 1.13
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30
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62
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57
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64 58 44 1.25 36 33 1.00 58 28 1.28 37 21
65 59 32 1.28
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67 61 61.30 39 45 1.18 48 1.33 40 34 1.20 60 30 1.33 41 23 1.20 23
68
52 1.33 40 56 1.27 61 33 1.33 41 46 1.27 61 15 1.40 42 35
69 62 37 1.36 42 12 1.33 62 18 1.40 43
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71 64 4 1.46 44 56 1.50 43 1.43 45 47 1.50 63 23 1.46 46 36 1.50
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34 33 0.83 30
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37 11
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29 60.2
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58.1
26
57.0
38 22
1.07
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25
55.8
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54.5
53.2
1.27
22
51.9
1.33
21
50.4
20
48.9
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19
18
17
16
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47.3
45.7
43.9
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15
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77 55 1.76 55 18 2.08 67 31 1.82 56 5 2.05 67 7 1.88 56 51 2.03 13
78 68 29 1.94 57 23 2.20 68 41.94 58 82.17 39 2.00 58 532.12
79 69 02.07 59 35 2.30 35 2.1460 18 2.27 68 9 2.14 61
92.14
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29 2.22 61 53 2.42 69 3 2.22 62 34 2.38
56 2.40 64 18 2.52
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80
81
82
83
84 71
85
80
50 70
∞∞∞∞∞
87
88
89
33.53 72 IO 2.82
30 2.50 64 57 2.47 69
54 2.73 67 25 2.57
44 3.1669 26 2.73 70 16 3.16 69 59 2.67
35 3.53 72 39 2.75 70
52 4.62 75 24 2.82
5 5.45 78 13 2.90
16 7.50 81 7 2.93
24 15.084 3 2.97
28 30.0 87 I 2.98
20 4.00 74 59|2.90
35 5.45 77 53 2.97 71
46 7.50 80 51 3.02
54 15.083 52 3.05
58 30.0 86 55 3.08
90 72 о
90 O
60'
b
t
α
A
বাঙ্
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37 2.31 63 14 2.33 ΙΟ 29. I
3 2.50 65 34 2.43
27 2.86 68 O2.52
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36 6.00 78 33 2.82
46 7.50 81 22 2.85
54 15.084 13 2.88
58 30.0 87 62.90
90 О
30
90 О
71 O
60'
α
b
A
118
Δ
60'
α
b
60'
A
8.10
98 26
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26.5
23.9
21.2
18.3
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α
d = 18° 0'
-
d = 18° 30′
19° 0'
d = Page 228]
2.675
2.824
2.748

b
a = 19° 30'
a = 20° 0'
a =
-20° 30'
C
a
do
t
A
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t
A
d 60
t
B
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Δ
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88
87
86
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89.7
89.3
89.0
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5 391.05
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20
21
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55
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20
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45

60'
60'
A
60'
a
b
α
b
α
b
Δ
60'
Δ
60'
Δ
210
α
60
t
d = 19° 30'
d = 20° 30′
d = 20° 0′
2.824
[Page 229
2.748
2.675

b
a = 19° 30′
a = 20° 0'
a = 20° 30'
C
a
d Go
& A
d 60
t A
d 60
t A
B
h
Δ 2
60h
Δ 2
60'
h
A Z
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31
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43
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41
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36.57
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3500
67.8
31
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32
28
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42
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46
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39
67.I
38
66.4
37
65.6
36
64.8
35
64.0
63.I
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61.3
60.3
59.3
58.3
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57.2
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76
22
27
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48 57 1.48
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76 66 9 1.82 55 40 1.92 45 1.82 56 23 1.90 65 21 1.88 57 61.87
77
58 6
1.36|41 30 1.08
25
53.7
50
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24
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1.40
43 44 1.22
23
51.1
1.43
44 57
44 57 1.27
22
49.7
1.46
46 13 1.33
21
48.3
20
46.8
19
45.2
18
43.5
HH
17
41.8
16
40.0
47 1.76 55 18 1.80
15
38.I
14
36.I
81
82
∞∞∞∞ ∞
84
85
86
87
88
1234
42 1.88 57 35 2.00 66 18 2.00 58 17 1.98
78 67 14 2.07 59 35 2.10 48 2.07 60 16 2.07 66 23 2.14 60 55 2.05
79 43 2.14 61 41 2.20 67 17 2.22 62 20 2.17
9 2.73 66
9 2.73 66 45 2.33
80 68 II 2.4063 53 2.28 44 2.40 64 30 2.25 67
36 2.61 66 10 2.38 68
59 2.86 68 33 2.47
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I 2.53
38 3.75 73 33 2.62 69
89
54 4.62 76 10 2.68
70 7 6.00 78 51 2.75
76.00
17 8.57 81 36 2.77
24 12.084 22 2.82
29 60.0 87 II 2.82
31 3.00 69 5 2.40 68
51 3.3371 29 2.50
9 3.75 73 59 2.55
25 5.00 76 32 2.62
37 6.00 79 9 2.67 69
47 8.57 81 49 2.70
54 12.0 84 31 2.73
312.73
59 60.0 87 15 2.75
70 O
17 2.50
2.50 65 52.22
4I
41 2.73 67 18 2.28
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4.00 74 2
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29 60.0
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53 2.00 58 58 1.95
13
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27.3
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90
30
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90 O
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2.
60'
A
60'
b
α
b
A
60'
α
b
a
A
60'
A
60'
Δ
60'
t
d = 19° 30′
d = 20° 30′
d = 20° 0'
Page 230]
2.475
2.605
2.539

b
a =
= 21° 0'
a = 21° 30'
d 60'
A
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A
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B
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00
A
2
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A
2
60h
a = 22° 0'
Z
A
C
a
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C
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56 1.07
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14
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28
43
35
39
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I. II
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7
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58
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35
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53
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42
43
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II
42
5
37 0.35 36 44 1.13
58.35 37 37 1.13
19 .38 38 30 1.13
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27 13
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48 0.37 50
34
56
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28 18
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42
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32.38 48 71.7
98 76
000 NO K L M N 200 No *mnh 80 mm OO
76 84.8
84.4
74
84.0
73 83.6
72 83.2
71 82.8
82.4
82.0
68 81.6
81.2
80.7
80.3
79.9
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62 79.0
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78.1
59
77.6
77.I
76.6
76.1
75.6
75.1
74.6
74.0
73.5
72.9
72.3
55 .40 47 71.1
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70.5
45 41 19
a
30
41
8
29 7
58
44
45
69.9
60'
b
Δ
217
60'
A
60'

A
α
b
a
b
a
60
A
60
A
60
t
d = 21° 0'
d = 22° 0'
d = 21° 30′
2.605
[Page 231
2.539
2.475

b
a = 21° 0'
a = 21° 30′
a = 22° 0′
с
а
d 60
t
A
d 60
t
A
d 60
A
B
h
A
Z
6ơ h
A Ꮓ
600h
Z
A
C
60'
45 41 19 1.15
28 30
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8 1.13
29 7
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1.15 29 44
0.45 45
69.9
46 42 II 1.13
55
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33
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1.15 | 30
II
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44
69.2
444
47 43 41.15 29 22
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53 1.15
30
I
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1.18
39
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68.5
48
56 1.15
50
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29
49 44 48 1.15
30 20
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1.18
59
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.52 44 24 1.18
8
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42
67.8
38.52 41
67.1
50 45 40 1.18
51
5146 311.18|| 31 23
0.53 45 27
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1.18
31 30
32 3
52 47 22 1.18
57
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37
53 48 13 1.20
32
32
54 49
49 31.20
31.20 33
55
53 1.20
48
56 50 431.22 34 28
57 51 32 1.22 35 11
58 52 21 1.25 55
59 53 91.25|| 36 42
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9.65 50 1.22
0.67 49 39 1.22
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73 51 17 1.22
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.82
54 1.28
33 12
50
1.18
0.55 45 15 1.18
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56
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32
9 0.55 40
66.4
42.58 39
65.6
I.20
33 17.60 38
64.9
53 .62 37
64. I
34 30.67 36
63.2
35 10 .72 50 14 1.25
53
37 25
и сос
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34 29 0.68 49 25 1.22 || 35 10 0.68
51
21.25 36 34
35
62.4
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34
61.5
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60.6
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50 1.25 37 19
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59.6
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58.6
0.85
55
60 57 1.28 37 31
61 54 44 1.28 38 22
62 55 31 1.30 39 16
63 56 171.30 40 13
64 57
57 31.33 41 13
65 48 1.36 42 15
66 58 32 1.40 43 21
67 59 15 1.43 44 30
68 57 1.43 45 42
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53 41 1.28 38 14 0.87 53 25
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1.00 56 O 1.33
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1.20
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1.27 59 37 1.46 46 26 1.2759 17 1.50 47 10 1.27
||
1.33 60 18 1.50 47 42 1.33 57 1.54 48 26|1.32
70 61 19 1.54 48 18 1.40 58 1.54 49 21.40 60 36 1.58 49 45 1.38 20
71 58 1.58 49 42 1.47 61 37 1.62 50 26 1.45 61 14 1.62 51
8 1.45 19
72 62 36 1.62 51 10 1.53 62 14 1.62 51 53 1.53 51 1.67 52 35 1.53 18
|
73 63 13 1.67 52 42 1.62 51 1.71 53 25 1.60 62 27 1.71 54 7 1.58 17
74 49 1.76 54 19 1.70 63 26 1.82 55 I 1.68 63 21.82 55 42|1.65| 16
38.0
75 64 23 1.82 56 1 1.77 59 1.82 56 42 1.75 35 1.88 57 21 1.73 15
36.2
76 56 1.94 57 47 1.85 64 32 2.00 58 27 1.82 64 7 2.00 59 5 1.80 14 34.2
77 65 27 2.00 59 38 1.93 65 22.07 60 16
60 16 1.90 37 2.14 60 53 1.88 13
78 57 2.14 61 34 2.00
31 2.22 62 10 1.98 65 5 2.22 62 461.95 I2
79 66 25 2.40 63 34 2.10 58 2.40 64 9 2.07 32 2.50 64 43 2.02 II
80
∞ ∞ ∞ ∞ ∞ ∞
50 2.50 65 40 2.17 66 23 2.61 66 13 2.12
81 67 14 2.73 67 50 2.23 46 2.73 68 20 2.20 66
36 3.16 70 4 2.32 67 83.33 70 32 2.27
55 3.53 72 23 2.38 26 3.53 72 482.33
84 68 12 4.29 74 46 2.43 43 4.29 75 8 2.38 67
82
83
85
86
87
∞∞∞∞∞
mono a 8
88
89
265.00 77 12 2.50
38 6.00 79 42 2.53 68
48 8.57 82 14 2.57
55 15.084 48 2.60
59 60.0 87 24 2.60
69 O
90 69
t
a
60
A
90 O
57 5.00 77 31 2.43
9 6.67 79 57 2.48
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56 2.6166.44 2.10 ΙΟ
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58 3.7573 13 2.28
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48 8.5782 37 2.45
55 15.0 85 4 2.47
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32.2
30. I
27.9
25.7
23.4
21.0
18.5
16.0
13.4
10.8
8.1
5.4
59 60.0 87 32 2.47 I 2.7
30
90 о
68 O
90 O
A
60
Δ
60
b
α
b
α
b
60'
A
60'
A
118
810
60
0.0
a
1.30 56 0.87 30
57.6
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1.30
1.33 40 43.95
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29
56.5
28
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1.36 42 40 1.05
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27
54.3
26
53.I
51.8
50.5
23
49.2
22
47.8
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44.8
43.2
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39.8

d=21° 0'
d = 21° 30'
d = 22° 0′
Page 232]
2.300
2 414
2.356

b
a = 22° 30′
d 60'
t
A
}
a = 23° 0'
d 60'
B
h
Δ
2
60' h
A
Ν
a = 23° 30′
C
a
t
A
d 60'
60'
h
A
2
60
C
B
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89.6
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5 31 1.09
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6 26 1.07
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12
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27 .08 II
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32
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54 1.09
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85.3
24
3
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84.8
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84.4
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19
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83.6
25
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56
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27
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32
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82.8
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82.3
20
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23
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81.9
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81.5
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80.6
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34 0.18 22 54 1.11
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79.7
45
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17
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28
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36 1.11
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79.2
26
28 25 42 1.09 25
29 26 37 1.11
8
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40
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13
21
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53
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26
136
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63
78.7
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78.3
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77.8
31
30 27 31 1.11
28 25 1.1I
32 29 19 1.11
33 30 13 1.11
34 31
II
II
26
48 2
34 0.23 27 24 1.11
48 .23 28 18 1.11
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26 7 0.23 27 18 1.13
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77.3
21
35
71.13
35 32
36
о
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54 1.13 27 7
33
4I
45
458
44
31.15
5511.15
32
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37 33 47 1.13
3834
38 34 40 1.13
39 35 33 1.13 28
40 36 26 1.13
37 19 1.15
42 38 II 1.15 29
43 39
17 .27 30 5 1.11
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59 1.13
24 0.28 31 44 1.13
4I .30 32 37 1.13
59.32 33 30 1.13
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38.35 35 15 1.15
50 0.28 31 521.13
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25 .32 33 381.13
44 .33 34 31 1.13 28 18
|
4 .33 35 24 1.13
24 0.35 36 17 1.15
51 .27
27 7
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58 1.13
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I. II
54 .25 59
76.8
27 9
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76.3
24
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75.8
40
28 56
75.2
57 0.30 55
74.7
28 15 .32 54
74.2
34 .32 53
73.6
53
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52
73.0
29 14 .35 51
72.4
56
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91.15 29 21 .38
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44
53 1.15 30
1.15
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35
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71.8
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71.2
8
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30 20 •40 48
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70.6
44
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70.0
33
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9
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69.3
45 40 47
30 22
40 37
59
40 26
35
45
68.7

60'
A
60
A
60'
A
α
b
α
b
α
b
α
Δ
60'
A
60'
A
60'
t
d = 22° 30′
d=23° 30'
d = 23° 0'
2.414
[Page 233
2.356
2.300

b
a = 22° 30'
d60
a = 23° 0'
a ====
= 23° 30'
C
a
t
A
d 60′
t A
d
B
h
A
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60h
A Ꮓ
60 h
Δ
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C
ი
45
46
40 47 1.15 30 22
0.43 40 37 1.18
30 59
0.45 40 26 1.18 31 35 0.47 45
68.7
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47 42 31 1.18 31 16
48 43 22 1.18
48
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31
26
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32 3 .47 44
68.0
54
•
48 42 7 1.18
31
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67.3
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2.246
[Page 235
2.194
2.145

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Page 236]
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49 0.20 65
78.4
26 23 181.13
57
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29
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29 I .22 64
77.9
27 24 II 1.1.3
28 10
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42
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14 .22 63
77.4
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23
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37
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74.7
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36
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45
66.3
60'
a
b
A
60'
A
60'
α
b
a
b
Δ
60'
A
60'
Δ
118
α
60'
t
d = 25° 30′
d = 26° 30'
d = 26° 0'
2.097
[Page 237
2.050
2.006

b
a = 25° 30'
d 60'
t
A
d 60'
B
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a = 26° 0'
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a
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36 5
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36 10 .52 43
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|
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49
0.88
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30
52.8
29
51.7
28
50.5
27 49.3
26 48.I
25
46.8
1.13
1.25
2 2 2 2
24
45.4
23
44.I
22
42.7
21
41.2
1.32
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57 15 1.82 55 33 1.30
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20
39.7
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61 82.22 63 61.65
77
78
35 2.50 64 45 1.70 61
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80
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01.85 62
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515.00 77 38 2.02
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1234
83
84
85
∞∞∞∞∞
64
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8 2.50 65 14 1.68
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55 2.8668 38 1.77
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53 4.00 74 41.90
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33 6.00 79 52 2.00 63
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59 60.0 87 57 2.05
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87
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3
6.8
88
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02.00
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89
90
30
90 О
64
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90
60'
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60'
Δ
60'
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b
α
b
α
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A
a
A
60'
A
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2.3
0.0

d = 25° 30'
d = 26° 30′
d = 26° 0′
Page 238]
1.881
1.963
1.921

b
a = 27° 0′
d 60'
t
Δ
d
B
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A
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60' h
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4 26 1.13
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о
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a = 27° 30′
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a = 28° 0'
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t
A
60h
d 60'
A
t
A
Z
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27
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33 0.27 60 75.I
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31
3∞
235
24 0.22 65
37 .22 64
77.8
77.3
50 .22 63
76.8
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18
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50
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22
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72.7
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72.1
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71.5
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69.5
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68.8
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66.7
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50 1.25
28
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36 22
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65.2

60'
60'
60'
α
b
α
b
α
b
A
60'
Δ
60
A
+18
A
α
60'
t
d = 27° 0'
d = 28° 0′
d = 27° 30′
1.903
[Page 239
1.921
1.881

b
a = 27° 0'
d 60'
t
A
a = 27° 30′
d 60
a = 28° 0'
C
α
t
A
d 60
t A
B
h
A
2
60h
A
Z
60h
A 7
B
60'
45 39 31.22
46
49 42 151.28
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52 44 361.30 37
53 45 22 1.33 || 40 15
54 46 7 1.33
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46.52 40 27
52 1.25
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51
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1.25
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53
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1.33 40 13
40 13 .65 44 51.33 49.65 38
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52 .67 50 1.33 41 28.67 37
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38 57 0.48 45 65.2
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56 .53 43
64.4
63.7
38 28 .55 42
62.9
39
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62.0
360.60 40
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61.2
39
60.3
59.4
58.5
36
57.6
55 52 1.33 41 37
56 47 37 1.36 || 42 20
57 48 21 1.36 43 5
58 49 5 1.40 52
59 48 1.43 44 41
60 50 30 1.43 45 32
61 51 12 1.46 || 46 25
62
531.50 47 21
63 52 33 1.50 48 18
64 53 13 1.58 | 49 18
5
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47 1.43 44 29 .82 48 29 1.43 45 6 .82
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35
56.6
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52.5
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1.17
52 1.46 46 46 0.87
|
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1.00 52 13 1.54 48 54 1.00 53 1.58 49 30 1.00 27
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30
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50.2
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49.0
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71
72
51 1.82 56 81.28 56 28 1.88|| 56 42 1.28 56 41.88
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56 2.00 58 46|1.38 312.00 59 18 1.38 57
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38.2
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61.47 58
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1234
87
88
∞ ∞ ∞ ∞ ∞
20 700 8
85
51
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81.95
89
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76 50 2.40 64 36 1.58 59 23 2.40 65 5 1.55
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78 38 2.73 67 48 1.67 60 II
48|1.67
79 61
03.00 69 28 1.72
80
81
82
83
84
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3.5372 56|1.78
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35 6.67 80 18
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a
b
α
A
60
t
d = 27° 0'
d = 28° 0′
d = 27° 30'
Page 240]
1.763
1.8.42
1.804

b
a = 28° 30′
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29° 0'
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Page 242]
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Page 244]
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[Page 245
1.600
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Page 246]
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A
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t
d = 33° 0′
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1.540
[Page 247
1.511
1.483

b
α
33° 0'
a = 33° 30'
a = 34° 0'
C
d 60'
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d = 33° 30′
d=34° 0'
Page 248]
1.402
1.455
1.428

b
a = 34° 30'
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a=35° 30'
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60'
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b
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60'
A

b
a
60'
Δ
60'
t
d = 34° 30′
d=35° 30'
d = 35° 0′
1.455
[Page 249
1.428
1.402

b
a = 34° 30'
d 60'
t
A
B
h
2
A
60h
a = 35° 0'
d 60'
A
Ν
t
a = 35° 30′
a
A
d 60'
t
A
60h
A
Ν
C
60'
B
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53.7
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28 2.22 63 20 1.05
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29
44.0
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41.6
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26
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85
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60'
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Page 250]
I.327
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[Page 251
1.351
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Page 252]
1.257
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1.280
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Page 254]
1.192
1.235
1.213

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1.235
[Page 255
1.213
1.192

b
a = 39° 0'
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a = 39° 30'
a = 40° 0'
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d = 40° 0'
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Page 256]
1.130
1.171
1.150

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A
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b
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a
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[Page 257
1.150
1.130

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Page 258]
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[Page 259
1.091
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b
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[Page 261
1.036
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d = 52° 0'
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Page 272]
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[Page 273
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Page 274]
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[Page 275
0.713
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d = 55° 0'
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Page 276]
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[Page 277
0.675
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64 50.40 23 17 2.31
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A
Ν
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a
A
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B
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Page 278] 0.649
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Page 282]
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Page 286]
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[Page 287
0.499
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d = 64° 0'
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Page 288] 0.477
0.456
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d = 64° 30'
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a = 64° 30'
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a = 65° 30'
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Page 292]
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24 0.25 56 3.33
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83.53 73 9 .27
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203.33
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42
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45
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60'
A
60
A
α
b
α
b
a
18
60'
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A
60'
A
60'
A
21-
α
60
t
d = 67° 30′
d = 68° 30′
d = 68° 0′
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[Page 293
0.404
0.394

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a = 67° 30′
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53
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55
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LENME FON∞
50 17 34.00 75
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30 12.0 85 12
79 22 4 15.0
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1234
12 15.0 86 17
16 20.0
19 20.0 87 7
∞∞∞∞ ∞
56 78
a
30
30
80
81
82
83
84
85
86
87
88
89
90
22 20.0
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25 30.0
560.42
27 60.0 88 21 .40
28 60.0
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53 0.40
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27 60.0
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49
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4.3
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90 O
30
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0.0
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α
b
60'

Δ
α
b
60'
α
b
A
A
60'
a
t
Δ
60'
Δ
60'
d = 67° 30'
d = 68° 30′
d = 68° 0'
Page 294]
0.364
0.384
0.374
}

b
a = 69° 0'
a = 69° 30′
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60'
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b
A
60'
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b
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a
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бо
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60'
A
60'
t
d = 69° 0′
d = 70° 0'
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0.384
[Page 295
0.374
0.364

b
a=69° 0'
a = 69° 30′
a = 70° 0'
C
α
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4 .35
52 8.57 83 15 •33 19
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56 8.57 83 14
310.0
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27 8.57
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77
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81
82
83
15 10.0 84 20|0.37
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52 12.0
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23 12.0
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58 •35
57 12.0 85 II .37
28 12.0
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26
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2 15.0
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3in
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33 15.0
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37 15.0 86
40
2
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14.9
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40 15.0 86 11 0.38
34 .38
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50 20.0 87 19 .38
84
53 30.0
42 .38
10 15.0
14 20.0
17 20.0
20 20.0
23 30.0
86 17 0.37
41 15.0
39 .37
87 I .37
23 .38
45 20.0
48 20.0
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23 0.35 ΙΟ 10.7
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87 6 .37
28 •35
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53 30.0
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88
5678
∞∞∞∞ co
85
55 30.0 88 5 0.38 25 30.088
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86
57 60.0
87
5860.0
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28
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55 30.0 88 11 0.37
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59 60.0 89 14
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28 60.0
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90
21
O
37
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30
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8.5
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90
O
30
90 O
90
0.0
α
18
60'
b
A
817
60'
Δ
α
b
60

a
b
60°
A
60'
t
A
810
a
d = 69° 0'
70° 0'
d = 69° 30'
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d
Page 296]
0.335
0.354
0.344

}
B
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a = 71° 0'
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t
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87.2
86.2
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60'
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60'
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b
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A
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α
60'
d=70° 30'
d = 71° 30'
d = 71° 0'
0.354
[Page 297
0.344
0.335

a = 70° 30'
a = 71° 0'
a = 71° 30'
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b
a
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A
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d = 71° 30′
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Page 298]
0.306
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α
b
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60'
A
60'

Δ
α
b
α
b
а
A
60'
A
60'
t
d=72° 0'
d=73° 0'
d = 72° 30'
0.325
[Page 299
0.315
0.306

b
a = 72° 0'
a= 72° 30'
a = 73° 0'
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a
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Page 302] 0.268
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d=75° 0'
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0.259
0.249

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a = 75° 0'
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Page 304] 0.240
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[Page 305
0.231
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Page 306]
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0.176
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b
a = 79° 30'
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a
Ъ
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b
60
A
α
b
α
A
60
A
60'
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A
60'
d = 79° 30'
d = 80° 30'
d = 80° 0'
Page 310]
0.141
0.158
0.149

b
a = 81° 0'
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[Page 311
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Page 312] 0.132
0.114
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0.123
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t
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d = 82° 30'
à = 83° 30′
d = 83° 0'
Page 314]
0.070
0.105
0.087

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d = 84° C'
d = 86° 0′
d = 85° 0′
0.105
[Page 315
0.087
0.070

b
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b
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b
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a
b
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60
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60'
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a
d = 84° 0′
d = 86° 0'
d = 85° 0'
Page 316] 0.052
0.000
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0.017
0.020

b
a = 87° 0′
a = 88° 0′
a=88° 50'
a = 89° 0′
a = 90° 0′
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18
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80
79
77
76
75
74
73
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16
17
26
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a
b
α
b
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b
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b
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b
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d = 87° 0'
d = 88° 0'
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(Polaris in 1910)
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62
61
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When Polaris' t<90° : L= (b+B) − 90°.
0.052
0.000 [Page 317
0.035
0.017
0.020

b
a = 87° 0′
a = 88° 0′
a = 88° 50'
a = 89° 0'
a = 90° 0'
C
d
t
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t
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t
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I
90
090 О
1090
O
90 O
O
•

α
b
α
Ъ
α
b
α
b
a
b
t
d = 87° 0'
d=88° 0′
d=88° 50′
(Polaris in 1910)
d = 89° 0'
d = 90° 0'
When Polaris' t> 90° : L= (90° + B) <
− b.
Page 318]
TABLE VII.

Change of Altitude per Minute of Arc of Hour Angle.
d and L same name.
Δη
t<90°
L<b: At
ΔιΖ
At
L>b:
""
;
""
+
স্বাধ
Δη
cos L sin Z'
90°.
""
+
ΔιΖ
At
F sin L
•
""
""
+
d and L contrary names.
0°
5°
10°
15° 20°
25°
30°
35°
40°
45°
50°
55°
2'
sin Z'
60°
L
65°
70°
Z'
/
0.00
O. OO
O. OO
2468
•
10
12
14
16
18
PROB
21
21
20
•
•
.20
.24 .24
•
.24
.23
0° 0.00
.03
.07
. IO
14
O. 17
.03
.07
•
ΙΟ
14
O. 17
.03
.07
. IO
•
14
O. 17
.03
.07
•
•
ΙΟ
13
O. 17
IO
.13
•
09
13
0. 16
22
•
09
12
O. 15
18
. 21
.09
II
O. 14
O. 13
0. 00
0.00
O. 00
O. 00
O. 00
/
O. 00
0.00
.03
07
.03
.03
об
.06
об
.03
. об
.03
•
02
02
0.00
02
•
•
05
.05
.04
08
.07
.07
. II
ΙΟ
•
.09
80.
88*88
0.00
02
0. 00
0.00
0°
ΟΙ
ΟΙ
04 .03
.03
об
.05
O. 16
O. 12
O. II
.20
. 19
•
•
17
16
•
. 15
. 23
.20
. 19
. 17
.28
.27
.27
.27
.26
25
•
· 31
.31
· 30
· 30
.29
.28
500
•
24
.27
.23
21
•
.25
.24
•
22
. 19
.13
16
.18
. 20
O. IO
12
0.09
68
07
04
.06
•
02
04
.05
•
2468
0.07
0.06 10
IO
•
.09
.07
12
•
•
14
12
. IO
.08
14
16
•
14
.18
.15
•
12
13
•
09
16
•
II
22*** O☹*** 2****
o. 34
o. 34
· 37
•
32
· 53
34
· 56
36
· 59
•
38
40
42
44
•
62
55
.58
61
2 5000 H
20
26
28
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•
41
44
47
0. 50
•
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47
o. 50
•
53
.56
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O. 49
52
· 39
•
•
•
42
45
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51
.38
•
41
44
•
37
.40
• 43
o. 45
•
.38
•
41
O. 43
46
.48
•
0.33
0.32
O. 31
0.30
0.28
0.26
O. 24
O. 22
0. 20
O. 17
O. 14
O. 12
20
.36
35
· 34
32
.31 .29
.27
.24
.21
19
35
· 33
.31
•
.29
.26
. 23
•
. 20
.36
34
• 31
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0.47
0.64
0.64
0.63
59
o. 62
о. бо
53
56
o. 58
· 50
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54
• 53
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57
• 55
•
.58
•
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36
· 33
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16
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19
20
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13
22
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14
24
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15
26
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28
•
0. 41
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O. 21
•
43
41
• 37
34
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22
O. 17
. 18
ererer
1 36
•
46
43
•
40
36
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•
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34
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•
53
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44
•
0. 56
o. 53
o. 49
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67
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.66
•
.65
.63
61
.58
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.47
•
69
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.68
•
.67
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.63
.60
бо
· 57
· 53
.49
.72
.72
.71
.69
.68
.65
.62
•
· 59
•
· 55
. 51
42
· 38
40
O. 41
•
43
45
46
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•
•
34
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25
20
36
•
• 31
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.21
38
0.37
o. 32
0.27
O. 22
.38
• 33
.28
23
42
40
· 35
.29
24
•
41
.36
.30
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48
.74
.74
.73
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70
•
67
.64
61
•
57
· 53
48
•
43
· 37
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50
0.77
0.76
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0.72
52
79
.78
78 .76
.74
22
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0.66
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.71
.68
.65
o. 59
.60
O. 54
56
54
.81
81
.80
.78
76
.73
.70
.66
•
56
.83
.83
.82
.80
•
78
.75
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.68
64
58
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84
.83
.82
80
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· 73
.69
.65
60
0.87
0.86
0.85
o. 84
62
.88
.88
.87
64
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.89
66
68
•
91 .91
.90
∞∞∞ ∞
o. 81
0.78
0.75
0.71
.85
.83
80
76
72
62
•
62
o. 66
. 68
· 57
•
· 59
•
60
o. 61
. 51
•
· 52
•
53
• 55
O. 44
•
•
45
46
48
O. 49
0.38
0.32
0.26
· 39
•
· 33
.27
.40
· 34
.28
•
41
· 35
.28
49
•
42
.36
.29
o. 56
0. 50
o. 43
0.37
0. 30
57
· 51
.44
•
· 37
· 30
.87
.84
81
78
.74
.69
•
88
.86
.83
•
79
.75
.70
•
· 93
.92 .91
.90
.87
.84
.80
.76
.71
•
•
64
65
66
.58
•
59
• бо
•
52
· 53
. 52
45
.38
•
31
46
· 39
· 31
•
•
46
· 39
· 32
70
o. 94 o. 94
o. 93
o. 91
0.88
0.85
0.81
0.77
0.72
0.66
72
· 95
· 95
.94
.92
.89
86
•
.82 78
•
•
74
· 96
· 96
•
· 95
.93
•
76
.97
· 97
· 96
.94
· 90
.91
.87 .83
.88
.79
· 73
74
.67
84
79
78
.98
.97
· 96
.94
.92
.89
•
.85
80
.74
.75
•
8508
o. 60
o. 54
.61
· 55
0.47
48
0. 40
O. 32
.40
.33
68
.62
· 55
•
69
.62
. 56
•
•
69
.63
. 56
90
8**88 8
80
0. 98
o. 98
0.97
o. 95
o. 93
o. 89
0.85
o. 81
0.75
0.70
0. 63
0. 56
82
.99
99
98
.96
.93
•
· 90
.86
.81
.76
84
.99
86
I. OO
•
.99
·99
•
· 98
· 96
.93
90
.86
.81
.98
.96
.94
.90
.86
82
•
.76
76
•
•
70
.71
70
64
64
· 57
•
•
64
. 57
I. 00
1.00
98
· 97
· 94
.91
.87
.82
.77
.71
.64
•
· 57
.50
I. 00
I. 00
0.98 0.97 0.94 0.91
0.87
0.82
0.77
0.71
0.64 0.57
0. 50
· 57
•
•
48
49
49
o. 49
· 50
· 50
· 50
•
•
4I
.41
.41
O. 42
•
•
•
42
42
42
42
·
•
.34 88
0.34 90
• 33
•
· 33
• 33
wwww...
0.34 80
• 34
34
· 34 86
ONE 2*** O**** 2**** ONTO ON*U* RN*** *****
44
48
52
54
60
64
66
68
70
72
78
82
84
O. 42
4,2
At
To find or sin L, enter column L=0° with L instead of Z'.
To find
Ad
Ah
or cos M enter column L=0° with 90-M instead of Z'.
TABLE VIII.
[Page 319

Z'
h'
0°
Change of Azimuth per Minute of Arc of Altitude.
A2Z
Ah
tan h' cot Z′ ( -- always with Z′ less than 90°).
5°
10°
15°
20°
25°
30°
35° 40°
45°
50° 60° 70° 80°
90° Z'
34
36
38
60
64
80
84
8 8 8 8
8 8 8 8 8
8 8 8 8 8
8 8 8 8 8
8 8 8 8 8
200 22*** 2**** **** AN*** O**** 22*** 8**888
90
0° ind.
2
0.00
0.00 0.00
8.00
0.00 0.00 0.00 0.00 0.00
.40
.20
.13
.IO
.07
.06 .05 .04 .03 .03 .02
0.00 0.00 0.00 0.00
.ΟΙ
0.00 90°
.ΟΙ
.00 88
.80 .40
.26
.19
.15
.12
.IO
.08
.07
.06
.04 .03
.OI
.00 86
I.20 .60 .39
.29
.23
.18
.15
.13
.II
.09
.06 .04
.02
.00 84
1.61
.80
.52
.39
.30
.24
.20
.17
.14
.12
.08
.05
.02
.00 82
2.02
1.00 0.66
0.48 0.38
0.31
0.25
0.21
0.18
0.15
0.10
0.06
0.03
0.00
2.43
2.85
I.2I .79
.58
.46
.37
•30
.25
.21
.18 .I2
.08
.04
.00 78
I.4I .93 .69
.53
.43 •36
.30
.25
.21
.14
.09
.04
.00 76
3.28
3.71
1.63
1.07 .79
.61
.50
.4I
•34
.29
.24
.17
.10
.05
.00 74
1.84 1.21
.89
.70
.56
•46
.39
.32
.27
.19
.12
.06
.00 72
8 8 8 8 8
4.16
2.06 1.36 1.00
0.78 0.63 0.52
0.43 0.36
0.31
0.21
0.13
0.06
0.00 70
4.62
6.08
2.29 1.51 I.II .87
5.09 2.53 1.66 1.22 .95 .77
5.57 2.77 1.82 I.34 1.05 .84 .70 .58
3.02 1.98 1.46 I.14
.92 .76
.70 .58
.48
.40
.34
.23 .15
.07
.00
68
.64
.53
.45
.37 .26
.16
.08
.00 66
.49
.4I
.28
.18
.09
.00 64
་
.63
.53
.45
.3I
.19
.09
.00 62
8 8 8 8 8
6.60
7.14 3.54
7.71
3.83
2.33
2.52
8.30
8.93
4.12
8 8 8 8 8
2.07
2.22
3.27 2.15 1.59 I.24 1.00 0.82 0.69 0.58
1.72 1.34 1.08 .89 .74
1.85 I.45 1.17
2.71 2.00 1.56 1.26 I.04
4.43 2.92 2.15 1.68
1.35 I.12
9.59 4.76 3.13 2.31 1.80
1.45 1.20 1.00 0.84 0.70 0.48
10.29 5.II 3.36 2.47 1.93 1.56 1.29 1.07 .90
.76 •52 •33
II.04 5.48 3.60 2.65
1.67 1.38 1.15 .97
.81 •56 .35
11.84 5.87 3.86 2.85
1.79 1.48 I.23 I.04 .87 .60 •38
12.69 6.30
4.14 3.05
2.38 1.92
1.59 1.32 I.II
.64 .40
0.48
0.33
0.21 0.10
0.00 60
.62
.52
.36
.23 .II
.00 58
.96
.80
.67
.57
.39 .25 .12
.00 56
.87
.73
.61
.42
.26
.13 .00 54
.93 .78 .66 .45
.28
.14
.00 52
** 802 288** ON
0.31
0.15
0.00 50
.16
.00
1000
.17
.00
.18
.00
.93
.20
.00
13.62
14.63
7.26
15.73
16.95
18.29
8.41
6.76 4.45 3.27
4.78 3.52
7.81 5.14 3.78 2.95
2.56
2.74 2.22
2.06
1.70
1.83
•
1.42 1.19 1.00 0.69 0.43
1.53 1.28 1.07 .74 .47
0.21
0.00
.23
.00
2.38
5.53 4.07
9.08 5.97 4.40
3.18 2.57
3.43 2.77
1.97
2.12 1.77 1.48 1.24
2.29 1.91 1.60 1.34
1.64 1.38 1.15
.80 .50
.24
.00
.86
.54
.26
.00 34
.92
.58
.28
.00 32
wwwwB ££***
48
46
44
42
40
38
36
8 8 8 8 8
19.80 9.82 6.46 4.76 3.71 3.00
21.50 10.67
23.44 11.63
2.47
I.45
0.63 0.31
7.02 5.17
4.03 3.26 2.69
1.58
1.09 .68
7.65 5.63 4.40 3.55 2.93
1.72 1.19 .75 .36
25.67 12.74 8.38
6.17 4.82 3.89 3.21 2.68 2.25 1.88 1.30 .82
28.29 14.04 9.24
6.80 5.31 4.29 3.53 2.95 2.48 2.08 1.43 .90
31.40 15.58 10.25 7.55 5.89 4.76 3.92 3.27 2.75 2.31 1.59 I.00 0.48
35.18 17.45 11.49 8.46 6.60
5.33 4.40 3.67 3.08 2.58 1.78 I.12 .54
39.86 19.78 13.01 9.58 7.48
6.04 4.98 4.16 3.49
1.27
45.84 22.75 14.97 II.02 8.60
6.95 5.73 4.78 4.01 3.37 2.32 1.46
53.77 26.68 17.56 12.93 10.09
8.15 6.72 5.61 4.70 3.95 2.72 1.71 .83
64.82 32.16 21.17 15.58 12.16 9.82 8.10 6.76 5.67 4.76 3.27 2.06 1.00
86.68 40.35 26.56 19.55 15.26 12.32 10.16 8.48 7.12 5.97 4.II
2.59 1.25
53.96 35.51 26.14 20.40 16.48 13.59 11.34
||
9.51 7.98 5.49 3.46 1.68 .00
81.10 53.37 39.29 30.67 24.77 20.42 17.04 14.30 12.00 8.26 5.21 2.52
78.68 61.41 49.60 40.90 34.13 28.64 24.03 16.53 10.42
2.06 1.73
2.24 1.88
2.44 2.05
1.00
0.00 30
.33
.00 28
.00 26
.40
.44
.00 24
.00
0.00
2.93 2.01
.61
.71
.00 18
.00 16
.00 14
.00 12
0.00 10
.00 8
.00
5.05
.00
2*2*2 200±2 °**+N
6
4
Table VII
∞
∞
∞
∞
8
8
8
∞
∞
∞
8
∞
8
8
ind.
0
Change of
Altitude
h'
90° 85° 80° 75°
70°
65°
2'
Per Min.
60°
55°
50° 45°
40° 30° 20°
10°
0°
ん​!
O
APR 2 5 191"
Table VIII
Change of
Azimuth
er Min.

UNIVERSITY OF MICHIGAN
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