FOR REDUCING THE TRUE ALTITUDES OF The sun, MOON,

TO THEIR APPARENT ALTITUDES.

AND STARS,

25 15 26

8/27

127

26 28 27

2128

13 29

5428 47 29
629 59 30

27 36 28

29 29

23 30

1631

40 30 32 31 25 32 1833 10
5251 4532 38 53 3134 24
332
21 32 1533 934
2932 2333 1734 1135
2833 2234 1635 1136
29 33 24 34 1935 13 36
52 27 33 2234 1735 1256 737
33 1734 1935 736 236 57 37 53 38 48 39 43 40 3841 33
34 334 595 54 36 49 37 45 38 40 39 36 40 3141 2642 22
34 48 35 43 36 39 37 3538 3039 2540 2041 1642 1243
35 29 36 2537 2138, 1739 1340 841 442 042 5643 521
937 538
138 5839 5440 5041 46 42 42 43 3844 34
37 2238 1939 1540 1241 842 442 5943 5644 5345 49
38 2639 2340 1941 1642 1343 1044 745 446 146 58
39 2340 2041 1742 1443 1144

22 2

21

10 38

10 2

40 1341 1142 843 644 345
40 5841 5642 5443 5244 50 45

5 0

9 29

41 4042 38 43 3644

3445 3246
2746 25 47 2348
1447 1248 1149
43 5744 5645 5446 5347 5148 50 49 49 50
44 3245 30 46 2947 2848 26 49 25 50 2451 22 52 2053 19
45 246 147
047 5949 5749 5650 5451 53 52 4253 51
45 2846 2747 2648 2449 2350 2251 2152 2053 1954 17
45 49 46 48 47 47 48 4649 45 50 4351 42 52 4153 40 54 39
847 748 649 550 451 2152 153 053 59 54 58
46 3847 3748 36 49 3550 3451 3252 3153 30 54
47 148 048 5949 5850 5751 5552 54 53 53 54
47 1848 1649 1550 1451 1852 1153 1054
47 29 48 2849 2650 2551 2352 2253 21 54 1955 1856 16
47 3648 3549 3350 3251 3052 2953 2754 2555 2356 22
47 42 48 4049 3850 3651 3452 3353 31 54 29 55 2756 25
47 4248 4049 3850 3651 3452 3253 30 54 2855 2656 24|
47 3948 3749 3450 3251 3052 2753 2554 23 55 2156 19
47 3648 3349 3150 2851 26 52 23 53 2054 1855 1556 12
47 2948 2649 2350 2151 1852 1553 1254 955 656 3
47 2148 1849 1450 1151 852 553 253 59 54 5655 52
47 1148 849 450 050 5751 53 52 5053 4754 4355 40
46 59 47 55 48 5149 4750 44 51
46 45 47 4148 3749 3250 2851
46 2047 26 48 2149 1650 1151
46 1447 948 448 5949 54 50 4951 44 52
45 5646 5147 45 48 40 49 3550 2951 24 52
45 3746 2347 2648 2049 1450 851

28

1 39

29

1 34

30

1 30

45 1746 1147 447 5848 5249 46 50 3951
44 5545 4946 4247 35 48 2849 2250 1551
44 3345 26 46 1947 1248 448 57 49 50 50 43151
14 945 245 54 46 46 47 38 48 3149 2350 1551
43 4444 3645 2846 1947 1148 248 55 49 46 50
43 1844 1045 145 5146 4347 3448 25 49 1750
42 5143 4244 3345 2346 1447 547 55 48 46 49
42 2443 1444 444 5445 4046 3447 24 48 14 49
41 5542 4443 3444 2345 3346 246 5247 4148 3049 20
53' 54/ 55' 56' 57' 58' 59' 60' 61' 62'

33 52 2753 21

1 47

852 252 55

1 42

35 52 28

1 38

altit.

of the

FOR REDUCING THE TRUE ALTITUDES OF THE SUN, MOON, AND STARS,
TO THEIR APPARENT ALTITUDES.

38

23

5 23 32 23

59 24

26 24

22 16 22 42 23

8 23

34 24

21 26 21

51 22

16 22 42 23

48 22
54 21

53 25 20 25 47 26
024 26 24 52 25 18 25 45 26 11
723 32 23 57 24 22 24 47 25 12
12 22 36 23 0 23 25 23 49 24 13
1721 41 22 4 22 27 22 50 23 14
0 20 22 20 44/21 721 29 21 51 22 13
519 27 19 48 20 920 30 20 51 21 13
1118 31 18 51 19 11 19 32 19 52 20 12
5717 16 17 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 16 16 33 16 50 17
12 14 28 14 44 15 015 1615 32 15 48 16
12 46 13 113 16 13 31 13 46 14 114 1614 31 14 46 15
11 53 12 712 2012 34 12 48 13 213 16 13 30 13 44 13 58
10 5911 1211 25 11 38 11 50 12 312 16 12 29 12 42 12 55
10 5 10 16 10 28 10 40 10 5211 411 15 11 27 11 39 11 51
9 10 9 21 9 32 9 42 9 5310 410 15 10 26 10 37 10 47
4 9 14 9 24 9 34 9 43

14 26 42 27 9

23

40

34

30

29

26

82

83

84

765·

7

7 21 7 30 7 38

7 47

7 56

8 13 8 21

85

4

87654321

7 19 7 26 7 34

176 24 6 30

14 5 20 5 25

4 15 4 20

8 3 12 3 15

6543

0 0

587

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

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

Arg. Long. of

10° 12° 14° 16° 18° 19° 20° 21° 22°/22° 30′ 25° 23° 15/25° 28' ship.

1

1 12

1 24

1 36

1 48

2

0

Oh. 0' 0.0 0.0 0.0 0.0 0.0
0 12 0.2 0.2 0.2 0.2 0.2
0 24 0.4 0.4 0.4 0.4 0.4 0.4
036 0.6 0.6 0.6 0.6 0.6 0.5
0 48 0.8 0.8 0.8 0.8 0.7 0.7
1.0 1.0 1.0 0.9 0.9 0.9
1.2 1.2 1.9 1.1 1.1
1.4 1.4 1.4 1.3 1.3
1.6 1.6 1.6 1.5 1.5 1.4
1.8 1.8 1.7 1.7 1.7 1.6
2.0 2.0 1.9 1.9 1.8 1.8

0.0 0.00.00.00.00.00.00.00.0

0.2

1.1

1.2

2 12

2.2 2.2 2.1 2.1

2.0

0.2 0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.3 0.3 0.3 0.3 0.2 0.2 0.2 0.1 0.5 0.5 0.4 0.4 0.4 0.3 0.3 0.2 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.8 0.8 0.7 0.6 0.6 0.5 0.4 0.3 1.0 0.9 0.9 0.8 0.7 0.6 0.5 0.4 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5 1.3 1.3 1.2 1.0 0.9 0.8 0.7 0.6 1.5 1.4 1.3 1.1 1.1 0.9 0.8 0.6 1.7 1.6 1.4 1.3 1.2 1.0 0.9 0.7 1.9 1.8 1.7 1.6 1.4 1.3 1.1 1.0 0.8 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 2.6 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 2.8 2.7 2.7 2.7 2.6 2.5 2.4 2.2 2.0 1.8 1.6 1.5 1.2 1.0 3.0 2.9 2.9 2.8 2.8 2.7 2.5 2.4 2.2 1.9 1.8 1.6 1.3 1.0 3.2 5.1 3.1 3.0 2.9 2.8 2.7 2.5 2.3 2.0 1.9 1.7 1.4 1.1 3.4 3.5 5.3 3.2 3.1 3.0 2.9 2.7 2.5 2.2 2.0 1.8 1.5 1.2 3.6 5.5 3.5 3.4 3.3 3.2 3.0 2.8 2.6 2.3 2.1 1.9 1.6 1.3 3.8 3.7 3.7 3.6 3.5 3.4 3.2 3.0 2.7 2.4 2.2 2.0 1.7 1.3 4.0 3.9 3.9 3.8 3.7 3.5 3.4 3.2 2.9 2.5 2.3 2.1 1.8 1.4 4.1 4.1 4.1 4.0 3.9 3.7 3.5 3.5 3.0 2.7 2.5 2.2 1.9 1.5. 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 4.5 4.5 4.5 4.4 4.2 4.1 3.9 3.6 3.3 2.9 2.7 2.4 2.1 1.6 4.7 4.7 4.7 4.6 4.4 4.3 4.0 3.8 3.5 3.1 2.8 2.5 2.11.7) 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 5.1 5.1 5.0 4.9 4.8 4.6 4.4 4.1 3.8 3.3 3.0 2.7 2.3 1.8 5.3 5.3 5.2 5.1 5.0 4.8 4.5 4.3 3.9 3.4 3.2 2.8 2.4 1.9 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 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 5.9 5.8 5.7 5.5 5.5 5.0 4.7 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 5.2 4.9 4.5 3.9 3.6 3.2 2.8 2.2] 6 24 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 6 36 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 6 48 6.7 6.7 6.6 6.5 6.3 6.0 5.7 5.4 4.94.3 4.0 3.5 3.0 2.4 7.0 6.9 6.9 6.8 6.6 6.5 6.2 5.9 5.5 5.0 4.5 4.1 3.6 3.1 2.4 7 12 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 7.3 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 4.44.0 3.4 2.6| 7 48 7.7 7.6 7.6 7.5 7.2 6.9 6.6 6.2 5.6 5.0 4.6 4.13.5 2.7 8 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 8 36 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 8.4 8.1 7.8 7.4 7.0 6.4 5.6 5.1 4.6 3.9 3.1 9 0 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 12 9.1 9.0 8.9 8.7 8.5 8.2 7.8 7.3 6.6 5.8 5.4 4.8 4.1 3.2 9 24 9.3 9.2 9.1 8.9 8.7 8.3 7.9 7.4 6.8 6.0 5.5 4.94.23.3 9 36 9.5 9.4 9.3 9.1 8.9 8.5 8.1 7.6 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 6.2 5.7 5.14.4 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 5.2 4.5 3.5 10 12 10.110.0 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 10.310.210.1 9.9 9.6 9.2 8.8 8.2 7.5 6.6 6.1 5.4 4.6 3.6 10 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 10.610.5 10.5 10.0 9.6 9.1 8.5 7.8 6.9 6.3 5.6 4.8 3.8 11 0 10.9/10.8/10.710.4 10.1 9.8 9.3 8.7 7.9 7.0 6.4 5.7 4.9 3.8 11 12 11.111.0 10.9 10.6 10.3 9.9 9.5 8.9 8.1 7.1 6.5 5.8 5.0 3.9 11 24 11.3 11.211.0 10.810.5 10.1 9.6 9.0 8.2 7.2 6.7 5.9 5.1 4.0 11 36 11.5 11.4 11.211.0 10.710.3 9.8 9.2 8.4 7.4 6.8 6.0 5.2 4.0 11 48 11.611.611.4 11.210.9 10.5 10.0 9.3 8.5 7.5 6.9 6.1 5.3 4.1 12 0 11.811.811.611.4 11.110.610.1 9.5 8.7 7.7 7.0 6.2 5.3 4.2 4° 6° 8° 10° 12° 14° 16° 18° 19° 20° 21° 22° 22° 30′ 23°23° 15'23° 28' Long.

Time from

Declination of the Sun.

of

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

TABLE XIV.

140 16° 18°

noon.

Arg.

Arg. Declination of Sun North decreasing, or between June and September.
10° 12° 14° 16° 18° 19° 20° 21° 22° 23° 23. 28' Long. of

1

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 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

Arg. Time fr.

noon.

Arg. Declination of Sun South increasing, or between September and December.

Arg.

20° | 21 | 22 | 23° 23° 28' Long. of ++++

+

Ship.

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

0.1

0.1

0.0 0.0 0.0
0.1 0.0 0.0 0.0 0.1 0.1 0.2 0.2 0.2
0.1 0.0 0.0 0.0 0.1 0.2 0.2 0.2 0.2
0.1 0.0 0.0 0.1
0.2 0.2 0.2 0.2

0.1 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
0.3 0.3 0.3

0.1 0.1 0.1

0.2 0.2 0.2 0.2 0.1

Arg. Declination of Sun South decreasing, or between December and March.

0°

92 46° 8° 10° 12° | 14° | 16° | 18° 19° 20° 21° 22° 25° 23° 28' Long. of + ++++++ ++ ++ ++++ + 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.0 0.0 0.0 0.0 0.1 0.1

Arg.

0.1 0.1 0.1 0.1 0.1

0.0 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 0.2

9

10

11

0.1 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.1 0.0 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 8 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 0.3 0.2 0.2 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.3 0.3 0.0 0.0 0.1 0.2 0.2 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.2 0.1 0.0 0.0 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.4 0.4 0.3 0.3 0.2 0.2 12 0.0 0.1 0.1 0.2 0.3 0.3 0.4 04 0.4 0.4 10.4 10.4 0.3 0.2 0.2 0.0 180

FOR SELECTING A PROPER STAR, FROM WHICH THE MOON'S DISTANCE IS TO BE OBSERVED. DLat. D.Long. ||DLat. D.Long. DLat. D. Long. DLat. D. Long. DLat. D. Long. Dat. D. Long. 28° 57' 20° 41° 6' 25° 31 12 21 43 54 26 22 46 52

15°

57° 23'

16

61 46

17

33 31

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

1 14 1 15 1 17 1 19 1 22 1 25 1 25
1 16 1 16 1 18 1 21 1 24 1 27 1 27
1 181 18 1 20 1 23 1 26 1 29 1 29
1 20 1 20 1 22 1 25 1 28 1 31 1 31
1 221 221 24 1 27 1 30 1 33 1 34 1 32 1 30 1 26
1 241 24 1 26 1 29 1 32 1 35 1 36
1 25 1 26 1 28 1 31 1 34 1 37 1 38

1 24

1 22

1 19

1 26

1 24

1 21

1 28

1 26

1 23

1 30 1 28 1 25

1 35 1 32

1 28

9 36

9 48

10 0