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FOR REDUCING THE TRUE ALTITUDES OF THE SUN, MOON, AND STARS,

Argument.

TABLE X.

True Reduct. altitude.] of the Object. O's alt.

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TO THEIR APPARENT ALTITUDES.

TABLE XI.

REDUCTION OF THE MOON'S ALTITUde.

Moon's Horizontal Parallax.

56' 57' 58' 59' 60' 61'

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[blocks in formation]
[blocks in formation]

21 26 21

51 22

16 22 42 23

[blocks in formation]

20 36 21

24 21 48 22

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10 5911 1911 25 11 38 11 50 12
10 5 10 16 10 28 10 40 10 5211
9 10 9 21 9 32 9 42 9 53 10
8 16 8 26 8 35 8 45 8 55 9
7 217 30 7 38 7 47
6 26 6 34 6 41
5 31 5 38 5 44
4 36 4 41 4 47
3 41 3 45 3 50
246 2 50 2 53
1 51 1 53 1 55
0 56 0 57 0 58
0 00 0 0 0
53' 54/ 55'

723 32 23
021
12 22 36 23
19 45 20 8 20 31 20 1721 41 22
18 54 19 16 19 38 20
0 20 22 20 44 21 721 29 21
18 218 23 18 44 19 519 2719 48 20 9/20 30 20
17 11 17 31 17 5118 1118 31 18 51 19 11 19 3219 52 20 12)
16 19 16 38 16 5717 1617 35 17 54 18 13 18 32 18 52 19 11
216 2016 38 16 56 17 15 17 33 17 51 18
715 24 15 41 15 58 16
12 14 98 14 4415
113 16 13 31 13 46 14
712 2012 34 12 48 13

52 25
5724
023 25 23
4 22 27 22

18 25 45 26 11

26

22 24 47 25 12

25

[blocks in formation]
[blocks in formation]

7 56

8

[blocks in formation]

6 49 6 57

[blocks in formation]

5 51 5 57
4 53 4 58
3 54 3 59
2 56 2 59 3
1 57 1 59] 2
0 59 1 0 1 1 2 1
0 0 0 of O 0 0 0 0
56' 57 58' 59/ 60'

4 6 10 6 17

6 24

6 30

35 95 14

5 20

5 25

3 4

7 4 11

[blocks in formation]

23

53

[blocks in formation]

1 2

4 2

[blocks in formation]

TO REDUCE THE SUN'S DECLINATION TO ANY GIVEN MERIDIAN, AND TO
ANY GIVEN TIME UNDER THAT MERIDIAN.

Arg Time tr

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1 12

144

Arg.

Declination of the Sun; North increasing; or between March and June.

Arg.

Long.of

4° 6°

1.2

2.5

2.7

2.8

3.0

3.2

3.4

3.5

0.0 0'.0 01.0

0.0 0.0

[blocks in formation]
[blocks in formation]

U° 8° 10° 12° 14° 16° 18° 19° 20° 21 22°/22° 30 25 23° 15125° 28' Ship. Ch. 0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.00.00.00.00.00.00.0 0 12 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.24 0.4 0.4 0.4 0.4 0.4 0.4 0.3 0.3 0.3 0.3 0.2 0.2 0.2 0.1 0.36 0.6 0.6 0.6 0.6 0.6 0.3 0.5 0.5 0.4 0.4 0.4 0.3 0.3 0.2 048 0.8 0.8 0.8 0.8 0.7 0.7 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 10 1.0 1.0 1.0 0.9 0.9 0.9 0.8 0.8 0.7 0.6 0.6 0.5 0.4 0.3 1.2 1.2 1.2 1.1 1.1 1.1 1.0 0.9 0.9 0.8 0.7 0.6 0.5 0.4 1.4 1.4 1.4 1.3 1.3 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5 136 1.6 1.6 1.6 1.5 1.5 1.4 1.3 1.3 1.2 1.0 0.9 0.8 0.7 0.6 148 1.8 1.8 1.7 1.7 1.7 1.6 1.5 1.4 1.3 1.1 1.1 0.9 0.8 0.6 20 2.0 2.0 1.9 1.9 1.8 1.8 1.7 1.6 1.4 1.3 1.2 1.0 0.9 0.7 2.12 2.2 2.2 2.1 2.1 2.0 1.9 1.8 1.7 1.6 1.4 1.3 1.1 1.0 0.8 224 2.4 2.3 2.3 2.3 2 2 2.1 2.0 1.9 1.7 1.5 1.4 1.2 1.1 0.8 2.36 2.6 2.5 2.5 2.5 2.4 2.3 2.2 2.1 1.9 1.7 1.5 1.4 1.2 0.9 248 2.8 2.7 2.7 2.7 2.6 2.4 2.2 2.0 1.8 1.6 1.5 1.2 1.0 30 3.0 2.9 2.9 2.8 2.8 2.5 2.4 2.2 1.9 1.8 1.6 1.3 1.0 3.12 3.2 3.1 3.1 3.0 2.9 2.7 2.5 2.3 2.0 1.9 1.7 1.4 1.1 3.24 3.4 3.3 5.3 3.2 3.1 2.9 2.7 2.5 2.2 2.0 1.8 1.5 1.2] 3.56 3.6 5.5 3.5 3.4 3.3 3.0 2.8 2.6 2.3 2.1 1.9 1.6 1.3 3.48 3.8 3.7 3.7 3.6 3.5 3.2 3.0 2.7 2.4 2.2 2.0 1.7 1.3 40 4.0 3.9 3.9 3.8 3.7 3.4 3.2 2.9 2.5 2.3 2.1 1.8 1.4 4.12 4.14.1 4.1 4.0 3.9 3.7 3.5 5.3 3.0 2.7 2.5 2.2 1.9 1.5 4.24 4.3 4.3 4.3 4.2 4.1 3.9 3.7 3.5 3.2 2.8 2.6 2.3 2.0 1.5 4.36 4.5 4.5 4.5 4.4 4.2 4.1 3.9 3.6 3.3 2.9 2.7 2.4 2.11.6 4.48 4.7 4.7 4.7 4.6 4.4 4.3 4.0 3.8 3.5 5.1 2.8 2.5 2.1 1.7 50 4.9 4.9 4.8 4.7 4.6 4.4 4.2 4.0 3.6 3.2 2.9 2.6 2.2 1.7 512 5.1 5.1 5.0 4.9 4.8 4.6 4.4 4.1 3.8 3.5 3.0 2.7 .31.8 524 5.3 5.3 5.2 5.1 5.0 4.8 4.5 4.3 3.9 3.4 3.2 2.8.4 1.9 536 5.5 5.5 5.4 5.3 5.2 5.0 4.7 4.4 4 0 3.6 3.3 2.9 2.5 2.0 548 5.7 5.7 5.6 5.5 5.4 5.1 4.9 4.6 4.2 3.7 3.4 3.0 2.6 2.0 6 0 5.9 5. 5.6 5.7 5.5 5.3 5.04.7 4.3 3.8 3.5 3.1 2.7 2.1 6 12 6.1 6.1 6.0 5.9 5.7 5.5 5.24.9 4.5 3.9 3.6 3.2 2.8 2.2 624 6.3 6.5 6.2 6.1 5.9 5.7 5.4 5.1 4.6 4.1 3.7 3.3 2.9 2.2 636 6.5 6.5 6.4 6.3 6.1 5.9 5.6 5.2 4.8 4.2 3.9 3.4 2.9 2.3 648 6.7 6.7 6.6 6.5 6.3 6.0 5.7 5.4 4.9 4.3 4.0 3.5 3.0 2.4 70 6.9 6.9 6.8 6.6 6.5 6.2 5.9 5.5 5.0 4.5 4.13.6 3.12.4 712 7.1 7.1 7.0 6.8 6.6 6.4 6.1 5.7 5.2 4.6 4.2 3.7 3.2 2.5 7 24 7.5 7.2 7.2 7.0 6.8 6.6 6.3 5.9 5.3 4.7 4.3 3.9 3.3 2.6 736 7.5 7.4 7.4 7.2 7.0 6.7 6.4 6.0 5.5 4.8 4.4 4.0 3.4 2.6 748 7.7 7.6 7.6 7.5 7.2 6.9 6.6 6.2 5.6 5.0 4.6 4.1 3.5 2.7 3 0 7.9 7.8 7.8 7.6 7.4 7.1 6.8 6.3 5.8 5.1 4.7 4.2 3.6 2.8 8.12 8.1 8.0 8.0 7.8 7.6 7.3 6.9 6.5 5.9 5.2 4.8 4.3 3.7 2.9 8 24 8.3 82 8.2 8.0 7.7 7.5 7.16.6 6.1 5.3 4.9 4.4 3.7 2.9 836 8.5 8.4 8.3 8.2 7.9 7.6 7.3 6.8 6.2 5.5 5.0 4.5 3.8 3.0 8.48 8.7 8.6 8.5 8. 8.1 7.8 7.4 7.0 6.4 5.65.14.6 3.9 3.1. 90 8.9 8.8 8.7 8.5 8.3 8.0 7.6 7.1 6.5 5.7 5.3 4.7 4.0 3.1 9.1 9.0 8.9 8.7 8.5 8.2 7.8 7.3 6.6 5.8 5.4 4.84.13.2 9.3 9.2 9.1 8.9 8.7 8.3 7.9 7.4 6.5 6.0 5.5 4.9 4.2 9.3 9.5 9.4 9.3 9.1 8.9 8.5 8.17.6 6.9 6.1 5.6 5.0 4.3 3.3 9.48 9.7 9.6 9 5 9.3 9.0 8.7 8.3 7.8 7.1 6.25.75.14.4 3.4 10 0 9.9 9.8 9.7 9.5 9.2 8.9 8.5 7.9 7.2 6.4 5.8 5.24.5 3.5 10 12 10.1 10.0 9.9 9.7 9.4 9.1 8.6 8.1 7.4 6.5 6.0 5.3 4.5 3.6 10 24 10.3 10.210.1 9.9 9.6 9.2 8.8 8.2 7.5 6.6 6.1 5.4 4.6 3.6 0 36 10.5 10.410.3 10.1 9.8 9.4 9.0 8.4 7.6 6.7 6.2 5.5 4.7 3.7 10 48 10.7 10.6 10.5 10.5 10.0 9.6 9.1 8.5 7.8 6.9 6.3 5.6 4.8 5.8 0 10.9 10.8 10.7 10.4 10.1 9.8 9.3 8.7 7.9 7.0 6.4 5.7 4.9 3.8 12 11.111.010.910.610.3 9.9 9.5 8.9 8.17.1 6.5 5.8 5.0 3.9 124 11.311.211.0 10.810.5 10.1 9.69.08.27.2 6.7 5.9 5.1 4.0) 36 11.5 11.4 11.2 11.010.7 10.3 9.8 9.2 8.4 7.4 6.8 6.0 5.2 4.0 1148 11.6 11.611.4 11.210.9 10.5 10.0 9.3 8.5 7.5 6.96.1 5.8 4.1 12 0 11.811.811.611 411.110.610.1 9.5 8.7 7.7 7.0 6 2 5.3.2 Time 1 12141591819° 20° 21° 22° 22° 30′ 23°23° 15' 25° 28' Long. from Declination of the Sun.

[blocks in formation]

2.7 1.9 1.3
2.7 1.9 1.3
2.8 2.0 1.4 0.0 147
2.8 2.1 1.4 0.0
150
2.9 2.0
1.4 0.0
2.9 2.1

153

1.4 0.0

156

[blocks in formation]

FOR ADAPTING THE FORMER TABLE TO ANY OTHER TIME OF THE YEAR.

TABLE XIV.

Arg. Time fr. 0°

Arg. Declination of Sun North dereasing, or between June and September.

Ar

20

16°

16° 12° 14° 16° 16° | 19° 20° | 21 | 22

23° 23. 28' Long

[blocks in formation]
[blocks in formation]

noon.

୧ 0.0 0.0 0.0 0.0

0.0

0.0

0.1

[blocks in formation]

Ch. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.1 0.1 0.1 0.1 0.1 0.1 0.0 0.0
0.1 0.1 0.1 0.1 0.1 0.0 0.0
0.1 0.1 0.1 0.1 0.1
0.1 0.1 0.1
0.2 0.2 0.2 0.2
0.2 0.2 0.2 0.2
0.2 0.2 0.2 0.2 0.2 0.2 0.2
0.1 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 0.3
10 0.1 10.1 0.0 0.1
0.1 0.9 0.3 0 3 0.3 0.3 0.3 0.3 0.3 0.2 0.1
11 0.1
0.1 0.0 0.1
0.1
0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.2 0.1
12 0.1
0.1 0.0 10.1 10.1 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.2

Declination of Sun South increasing, or between September and December.
6° 8° 10° 12° | 14 | 16°
180
19 | 20 | 21 | 22° | 23 23° 28 Long.
+ +++++++ +++++

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors]

0.1

[blocks in formation]

0.2 0.2

[blocks in formation]
[blocks in formation]

0.0 0.0 0.0 0.0 0.1 0.1 0.1
0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1
0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.1 0.1
0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.1
0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.1
0.2 0.3 0.3 0.3 0.3 0.2 0.2 0.1
0.3 0.3 0.3 0.3 0.3 0.3 0.2 0.1 0.1
0.3 0.3 0.3 0.3 0.3 0.3 0.2
0.4 0.4 0.4 0.4 0.3 0.3 0.2 0.2
04 0.4 0.4 0.4 0.4 0.3 0.2 0.2

Arg.

Arg

Arg. Declination of Sun South decreasing, or between December and March. Time fr. 0° 2 4° 8° 10° | 12° | 14° | 16° | 18° | 19° | 20° | 21° | 22° | 25° 23° 28' Long. noon. + +++++++ +++++++ Oh. 0-0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1

[blocks in formation]

0.1 0.1 0.1 0.1 0.1 0.0 0.0

[blocks in formation]

0.1 0.1 0.1 0.1 0.1 0.0 0.0
0.1 0.1 0.1 0.1 0.1 0.1 0.0

[blocks in formation]
[ocr errors][merged small]
[blocks in formation]
[blocks in formation]

TABLE XVII.

FOR SELECTING A PROPER STAR, FROM WHICH THE MOON'S DISTANCE IS TO BE OBSERVED. Dlat. D. Long. Dat. D.Long. Dat. D.l.ong. DLat. D. Long. Dat. D.Long Di at

[merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small]

TO REDUCE THE RIGHT ASCENSION OF THE SUN TO ANY GIVEN MERIDIAN, AND TO ANY GIVEN TIME UNDER THAT MERIDIAN.

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]

0 47

0 47 0 49 0 50 0 520 540 540 530 520 50

0 48

0 47

78

5 24

0 49 49 0 50 0 52 0 540 560 56 0 55 0 54 0 52 0 50

[blocks in formation]
[blocks in formation]

9 12

9 24

9 36

9 48

10 0

1 24 1 24 1 26 1 291 321 35 1 36 1 35 1 32 1 28
1 25 1 26 1 28 1 31 1 34 1 37 1 38 1 37 1 34 1 30 1 27 1 25
1 27 1 27 1 30 1 33 1 36 1 39 1 40 1 39
1 291 29 1 32 1 351 38 1 41 1 42 1 41
1 31 1 31 1 33 1 371 40 1 43 1 44 1 43

1 25 1 23

138

141

1 36

[blocks in formation]
[blocks in formation]
[blocks in formation]

1 441 44 1 46 1 50 1 54 1 57 1 59 1 57 1 54 1 49 1 451 43

171

[blocks in formation]

TO REDUCE THE RIGHT ASCENSION OF THE SUN TO ANY GIVEN MERIDIAN, AND TO ANY GIVEN TIME UNDER THAT MERIDIAN.

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][ocr errors][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]

0 30

0 28

0 27

0 26

42

[blocks in formation]

29 0 30

3 12

0 27 0 28
0 29 0 290 31 0 32 0 340 350 350 350 340 32 0 31

0 32 0 33 0 33 53

0 32 0 30 0 29

[blocks in formation]

3 24

0 31 0 31

0 53 10 34 0 36

0 37 0 380 37

0 360 350 33 0 32

51

3 36

0 32 0 33

0 34 10 35 0 38

0 39 10

[blocks in formation]

0 38

0 37 10 33 10 34

54

[blocks in formation]
[blocks in formation]
[blocks in formation]

57

[blocks in formation]

0 44

[blocks in formation]
[blocks in formation]

1 14 1 15 1 19 1 23
1 16 1 17 1 21 1 25 1 29 1 321 33 1 32 1 29 1 25
1 17 1 19 1 22 1 27 1 51 1 34 1 36 1 35 1 32 1 27 1 23 1 21
1 19 1 21 1 24 1 291 33 1 36 1 38 1 37

1 27 1 30 1 31 1 30

23
1 25
1 971

19 1 16 1 13

117

21

1 17 1 15

120

23

1 19 1 17

123

1 21 1 19

126

129

1 34 1 29 1 25 1 22

132

0

12

24

9 36

9 48

10 0

1 21 1 23 1 26 1 31 1 351 39 1 40 1 39
1 23 1 25 1 28 1 331 37 1 41 1 421 41 1 38 1 33 1 29 1 26
1 25 1 26 1 30 1 35 1 40 1 43 1 44 1 43 1 401 36 1 31 1 28
1 26 1 28 1 32 1 37 1 42 1 451 47 1 46 1 42 1 38 1 331 30
1 28 1 30 1 34 1 39 1 44 1 47 1 49 1 48 1 44 1 40 1 35 1 32
1 30 1 32 1 36 1 41 1 46 1 50 1 51 1 50 1 46 1 42 1 37 1 34

[blocks in formation]
[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]
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