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Ηλεκτρ. έκδοση

FOR REDUCING THE TRUE ALTITUDES OF THE SUN, MOON,

TO THEIR APPARENT ALTITUDES.

AND STARS,

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934

2013

10

21 53 1 10

20 59 1 20 20 7 1 30

19 19 1 40

18 33 1 50 17 49 2 0 17 2 10 16 28 2 20 15 51 2 30 15 16 2 40 14 43 2 50

14 12 3 0

13 431 3 20 12 491 3 40

12 1 4 0

11 17 4 20

10 38 4 40

10 2 5 0 9 29 5 30 8 46 6 0 8 8 6 30 7 33 7 0 7 4 7 30 6 38 8 0

6 15 8 30 5 55 9 0 5 36 10 5 3 11 4 36 12 4 12 13 3 53 14 3 35 15 3 20 16 17 2 55 18 2 45 19 2 35 20 2 27 21 2 19 22 2 12 23 2 6 24 2 25 1 54 26 1 48 27 1 431 28 1 39 29 1 341 30 1 30 31 1 27 32 123) 33 1 20 34 1 17 35 1 14

36 1 11 True Reduct

25 15/26 8/27 1/27 54/28 4729 40 30 32 31 25/32 1833 10
26 28127 2128 13/29 6/29 5930 5251 45132 38 83 31/34 24
27 36/28 29 29 23 30 16 31 932 3 32 56 33 43 34 40 35 35
28 40 29 34/30 27/31 21 32 1533

2|34 56/35 50 36 43
29 42/30 36/31 2932 23133 1734 11 35 5 35 5936 5337 46
30 4031 34/32 28 33 22:34 16 35 11.36 536 5937 53 38 47
31 35 32 29 33 24 34 1935 1336

837

337 5738 52|39 46 52 27 33 2234 1735 12 36 737

1137 5638 51 39 46 40 41 33 1734 12 35 736 2 36 5737 53 38 48 39 43 40 38 41 33 34 334 5925 54.36 4937 45 38 40 39 36 10 31 41 26 42 22 31 48 35 43 36 3937 35 38 3039 25 40 2041 1642 12 +3 7 25 2936 25 37 21 38. 17 39 13 40

S41

4112 0 42 56 +3 52 136 937 5 38 138 58 39 54 40 50 41 46 42 42 43 58 44 34 37 2238 1939 15 10 1241 842 442 59 43 567 53 +5 49 138 26 39 23140 1941 16/2 13 43 10 44 745 4 46 1 +6 58 39 23 40 2041 1742 1.1/43 11 14

9145

646 347 047 57 10 13 41 11 42 8 +3 614 3 45 1 45 58 46 5547 53 18 50 40 58 41 56 42 54 43 52 44 50 45 47 46 44117 4248 40 19 38 +140 42 38 43 3614 34 15 32 16 3047 28 48 26 19 2350 21 42 33 43 31 44 29 15 27.40 25 47 2348 22 49 20150 1851 16 13 44 17 15 15146 14 47 12 48 1149 9150 751 552 4 43 57/44 56 45 51 46 53 47 51/48 50 49 49 50 4651 45 52 44 144 32 45 30 16 29 17 28 48 26 49 25 50 24 51 2252 2053 19 H5 2146 147 0 47 59 49 5749 5650 5451 53 52 4953 51 45 28 46 27/47 26 18 24/49 2350 2251 2152 2053 1954 17 145 4946 48 47 47 48 4649 4550 4351 4252 41 53 40 54 39 146 8147 748 649 550

4 51

2152 1.53 053 59 54 55 4:6 38 47 37/48 36149 35 50 5451 32 52 31 53 30154 2955 28 147 148 0 48 59 49 5850 5751 55 52 54 53 53 54 51 55 50 47 1848 16 49 1550 1451 1952 11 53 10 54

955

856 7
147 2948 28/49 26 50 2551 2352 2253 21 54 1955 1856 16
117 36 48 35 49 3350 3251 3052 29 53 47 54 25 55 23 56 22
+7 42 48 40 49 38 50 3651 34 52 33 53 31 54 2955 27 56
47 42 43 4019 3850 36 51 3452 3253 30154 28 55 26 56 24
47 39 48 37 49 3150 3251 30152 2753 2554 23 55 21 56 19
+7 36/48 35 49 3150 28/51 2652 2353 2054 1855 15 56 12
47 29 48 26 49 2350 2151 1852 15 53 12 54 9/55 6156 3
17 21 13 18 49 1450 11451 852 553 2153 59 54 56 55 52
*7 11 18 8 49 450 050 57/51 53 52 50 53 4754 43 55 40
146 59 47 55 48 51 49 47 50 4451 4052 36 53 32 54 28 55 25
46 45 47 41 18 37 49 32 50 28 51 2452 2053 1654 11 55 7
46 90/17 2048 21 49 16 50 11151 7|52 352 58153 53 54 49
46 17 17 948 4/48 59 49 5450 4951 44 52 3953 35 54 29
45 56 46 5147 45 48 40 49 35 50 2951 24 52 1853 1954 8
45 37 46 23 47 26 48 2049 14 50 8 51 351 57152 51 53 45
15 17/46 11 17 4 +7 58118 52 49 4650 S951 33 52 27153 21
143 55 45 49 46 42 47 354€ 28 49 2250 15151 8 52 252 55
14 33 45 26 46 1947 12/48 4/48 57 49 50/50 43/51 35 52 28
14 9 45 2 45 54 46 46 47 38 48 31 49 2350 15151 751 59
43 44 41 3645 28 46 1947 11 18 2 48 55 49 46 50 38/51 30
43 1844 10 +5 1 45 51 46 43 47 34 8 25 49 1750 8 50 59
142 51 43 42 44 33 +5 236 14 47 5+7 55 48 46 49 3650 27
12 24 43 14 44 4 44 54 45 40 46 34 17 24 48 14 49 4 49 54
+1 55 42 44 43 34 44 2:3 45 33 46 2/46 52 47 41 43 30 19 20
53' 54' 55' 56' 57' 58 59' 60 61' 62

22 2 21 8 20 16 19 28 18 42 17 58 17 16 16 37 16 0 15 25 14 52 14 21 13 52 12 53 12 10 11 26 10 47 10 11 9 38 8 55 8 17 742 7 13 6 47 6 24 6 4 5 45 5 12 4 45 4 21 4 2 3 44 3 29 3 16 3 4 2 54

2 35 2 27 2 20 2 14 2 7 2 2 1 56 1 51 1 47 1 42 1 38 1 35 1 31 1 28 1 24 1 21

1 18 Reduct.

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

TO THEIR APPARENT ALTITUDES.

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1 9
1 6
1 3
1 1

58
56
54
53
51
49
47
45
43
42

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 36 57 58 59 60. 61 62 63 64 65 66 67 68 69 70

1 16 1 13 1 10 1 8 1 5 | 3 1 1

59 57 55 53 51 49 48 46 44 43 41 40 38 37 35 34 33 32 30 29

40

39 37 36 35 33 32 30 29 28 27 26 25 24 22 21 20 19 18 17 16 15 14 14 13 12 11 10 9

1
41 25 12 14/43 3 43 51 44 41 45 29 46 1847 6/47 56 48 45
40 54 41 42 42 30 43 19 44 744 55 45 43 46 3147 1948 8

10 23 41 10 41 5742 45 43 33 44 2045 8 45 56 46 43 47 31
39 50 40 37 41 24 42 1142 50 13 44 44 31 45 19 46 5 46 52
39 17 40 340 49 41 35 42 21 43 8 43 54114 40 45 2746 13
38 43 39 28 40 1440 59 41 45 42 30 43 16 44 1 44 47 45 33
38 738 52|39 36 40 22 41 7 41 51 42 36 43 21 44 644 51
37 3138 16 38 59 39 43 40 27 41 11 41 55 42 40 43 24 44 9
36 54 37 38 38 21139 4 39 48 40 3141 14 41 58 42 42 43 25
36 1736 59 37 42 38 25 39 739 50 40 32 1 15 41 58 42 40
35 39 36 2137 237 44/38 26/39 8 39 50 40 32 41 13 41 55
35 0135 41 36 22 37 3137 44 38 55 39 6 39 47 40 28 41 9
34 20 35 0 35 40 36 2037 137 4238 2239 2 39 42 40 23
33 3934 19 34 58 35 37 36 1736 57/37 36 38 16 38 55 39 35
32 58 33 37 34 16 34 54 35 33 36 11 36 50 37 29|38 738 46)
32 1632 54 33 32 34 10 34 47 35 25 36 3 36 41 37 1937 57
131 34132 1132 48 33 25 34 2 34 39 35 16 35 53 36 3037 7
30 50 31 26 32 2 32 39 33 15 33 51 34 28 35 4 35 40 36 16
30) 6/30 42|31 1731 5132 2733 2 33 38/3+ 1434 49 35 24
29 22 29 57 30 31 31 531 3932 14/32 4933 23 33 58 34 32
28 36/29 1029 43 30 17 50 51 31 24 31 58 32 32 33 533 39
27 51 28 2428 56/29 29 30 1/30 34/31 7131 40 32 1232 45
27 527 37/28 928 40 29 11/29 4330 15 30 47/31 19 31 51
26 15 26 4827 19 37 50128 21 28 51 29 22 29 53 30 24 30 55)
25 30/26
0126 30 27

027 2927 59 28 29 29 59 29 29 29 59
24 42/25 11 25 40/26 926 38/27 727 3628 528 34 29 3
23 54 24 22 24 50 25 18 25 46/26 14/26 4227 10 27 38 28 6
23 5 23 3223 5924 26 24 53 25 20/25 47 26 14 26 4227 9
22 16 22 42 23 8 23 3424 0 24 26 24 52 25 1825 45/26 11
21 26/21 51 22 16 22 42 23 7/23 32 23 57 24 22 24 4725 12
20 3621 0121 24 21 48/22 12 22 36 23 023 25 23 49 24 13
19 45 20 8 20 3120 54/21 17121 41 32 422 27|22 50/23 14
18 54 19 16119 38 20 0 20 2220 44/21 7/21 2921 5129 13
18 218 23 18 44 19 519 27 19 4820 9 20 30 20 51/21 13
17 11/17 31 17 51 18 11/18 31 18 51 19 11 19 32 19 52 20 12
16 1916 38 16 5717 16 17 35 17 54 18 1318 32 18 52 19 11
15 26 15 44 16 2 16 20 16 38 16 56 17 15 17 33 17 51 18 9
14 34 150 15 715 24 15 41/15 58 10 16 16 33 16 50 17 7
13 40 13 56 14 12 14 28 14 4415 0115 16 15 32 15 48 16 4
12 46 13 113 16 13 31113 46 14 1 14 16 14 31 14 46 15 1
11 5312 712 20112 34 12 48 13 2.13 16113 30113 44 13 58
10 59|11 12 11 25 11 3811 5018 312 16 12 29 12 4212 55
10 510 16 10 28 10 40 10 52 11 411 15 11 27/11 3911 51
9 10 9 21 9 32 9 421 9 5310 410 15 10 26 10 37 10 47
8 16 8 26 8 35 8 45) 8 55 9 41 9 14 9 24 9 34 9 43
m 21 7 30 7 38 7 471 7 56 848 13 8 21 8 30 8 39
6 26 6 34 6 411 6 49 6 57 7 4 7 11 7 19 7 26 7 34
5 31 5 38.5 441 5 511 5 57 6 41 6 10 6 17 6 24 6 30
4 36 4 411 4 471 4 531 4 581 5 3 5 9 5 14 5 20 5 25
341 34,53 50 3 541 3 59 4 3 4 71 4 11 4 15 4 20
2 461 2 50 2 531 2 56 2 593 2 3 51 3 8 3 12 3 15
1 51 1 53 1 55) 1 571 1 591 2 1 2 41 2 61 2 8 2 10
0 56 0 57 0 58 0 59 I 0 1 1 1 2 1 311 411 5
0 0 0 0 0 0 0 0 0 0 0 0 0 01 0 010 0 0 0

54' 55' 56' 57' 58' 59' 60% 61' 62

72

28 26 25 24 23 22 21 19 18 17 16 15 14 13 12 11 10 9

73 74 75 76 77 78 79 80 81

8

8 7

4

82

7 83

6 84

5 85

4 86

3 87

3 88

2 89

1 90

0 True Reduct.

Alt.

2

53'

of the

Reduction of a Star's

TO REDUCE THE sun'S DECLINATION TO ANY GIVEN MERIDIAN, AND TO

ANY GIVEN TIME UNDER THAT MERIDIAN.

Arg.

noon.

0.0

0.2

0.2

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

Long. of 0° 2° | 4° 6° 8° | 10°) 120/140 160 180 190 200 219 220/22° 30' 250/230 15423° 28' ship. Oh. O V.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 00 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 0.0 0.01

0.0 0 24 0.41 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 0.1 0.1 0.0 0.0 6 0 36 0.6 0.6 0.6 0.6 0.6 0.5 0.5 0.5 0.4 0.4 0.4 0.3 0.3 0.2 0.1 0.1 0.1 0.0 048 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 0.2 0.2) 0.1 0.0 12 1 0 1.0 1.0 1.0 0.9 0.9 0.9 0.8 0.8 0.7 0.6 0.6 0.5 0.41 0.3 0.3 0.2 0.1 0.0 15 1 12 1.2 1.2 1.8 1.1 1.1 1.1 1.0 0.9 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2

0.0 18 1 24 1.41 1.4) 1.4) 1.3 1.3 1.2 1.2 1.11.0 0.9 0.80.7 0.6 0.5 0.4 0.3

0.0 21 1 36

1.61 1.6 1.6 1.5 1.5 1.4) 1.3 1.3 1.21.0 0.9 0.8 0.7 0.6 0.5 0.3 0.2 0.0 24 1 48 1.8) 1.8) 1.7 1.7 1.7 1.6 1.51.4 1.3 1.1 1.1 0.9 0.81 0.6 0.5 0.4 0.2 0.0 27 2 0 2.0 2.0 1.9 1.9 1.8 1.8 1.7|1.6 1.4/1.3/1.21.0 0.9 0.7 0.6 0.4 0.3 0.0 30 2 12 2.2 2.2 2.1 2.11 2.0 1.9 1.8 1.7 1.6 1.4 1.3 1.11.00.8 0.6 0.4 0.3 0.0 33 2 2+

2.41 2.3 2.3 2.3 2 2 2.1 2.0 1.9 1.7 1.3 1.4 1.2 1.1 0.8 0.7 0.5 0.3 0.0 36 2 36 2.6 2.5% 2.5| 2.52.4 2.3 2.2 2.1 1.9 1.7 1.5 1.4 1.2 0.9 0.7 10.5 0.4 0.0 39 2 48 2.8) 2.71 2.71 2.7 2.6 2.5 2.4 2.2 2.0 1.8) 1.6 1.5 1.2 1.0) 0.8 0.6 0.4 0.0 42 3 0 3.0 2.91 2.9 2.8 2.8 2.7 2.5 2.4 2.2) 1.9 1.8/1.6/1.3/1.0 0.8 0.6 0.4 0.0 45 3 12 3.23.1 3.1 3.0 2.9 2.8 2.7 2.5 2.3 2.0 1.9 1.7 1.4 1.1 0.9 0.6 0.4 0.0 48 3 24 3.41 3.5| 3.3 3.2 3.1 3.0 2.92.7 2.5/2.2 2.0 1.8/1.5) 1.2 1.0 0.71 0.5 0.0 51 3 36 3.6 3.5) 3.51 3.41 3.31 3.2 3.0/2.8 2.612.3 2.1 1.9|1.6 1.3

1.0 10.7 0.5

54 3 48 3.8 3.7 3.7 3.6 3.5| 3.4 3.2 3.0 2.71 2.4 2.21 2.01.711.3 1.1 0.81 0.5

57 4 0 4.0 3.9 3.91 3.8/ 3.7 3.5| 3.4 3.2 2.9 2.5 2.3 2.1 1.8 1.4 1.1 0.8 0.6 0.0 60 4 12 4.1 4.11 4.1 4.01 3.9 3.7| 3.5 3.5 3.0 2.7 2.5 2.2/1.9 1.5 1.2 0.8 0.6 0.0 63 4 24 4.3 4.3 4.3 4.2 4.1 3.91 3.7 3.5/3.2 2.8/2.6 2.3 2.0 1.5 1.2 0.9 0.6 0.0 66 4 36 4.5| 4.5 4.5 4.41 4.2 4.1 3.9 3.6 3.3 2.9 2.71 2.4 2.1 1.6 1.3 0.9 0.6 0.0 69 4 48 4.7 4.7 4.71 4.6 4.41 4.3 4.013.8 3.5 3.1 2.8 2.5/2.1 1.7 1.4 1.0 0.7

72 5 0 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 1.4 1.0 0.7 0.0 75 5 12 5.11 5.1 5.0 4.9 4.8 4.6 4.414.1 3.8 3.3/3.02.71 2.3 1.8 1.5 1.0 0.7 00 78 5 24 5.31 5.3 5.2 5.1 5.0 4.81 4.5.4.3 3.9 3.4 3.2 2.8 2.4 1.9 1.5 (1.1 0.7 0.0 81 5 36 5.5 5.5| 5.4 5.3 5.2 5.01 4.7 4.4.4 0 3.6 3.5 2.9 2.5 2.0 1.6 11.1 0.8 0.0 84 5 48 5.7 5.7 5.6 5.5 5.4) 5.11 4.9 4.6 4.2 3.7 3.4 3.0 2.6 2.0 1.6 1.2 0.8 0.0 87 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

1.2 0.8 0.0 90 6 12 6.11 6.1 6.0 5.9 5.7 5.5 5.24.91 4.5 3.9 3.6 3.2 2.8 2.2 1.8 1.2 0.9 0.0 93 6 24

6.3 6.3 6.2) 6.1] 5.9 5.7 5.4 5.1 4.6 4.1/3.7 3.3 2.9 2.2 1.8 1.3 0.9 0.0 96 6 36 6.5 6.5 6.4 6.3 6.1 5.9 5.6 5.2 4.814.2 3.9 3.4) 2.9 2.3

1.9 1.3 0.9 0.0 99 6 48 6.7 6.7 6.6 6.5 6.3 6.01 5.75.41 4.9 4.3 4.0 3.5 3.0 2.4 1.9 1.4 0.9 0.0

102 7.0 6.9 6.9 6.8) 6.6 6.5 6.2 5.9 5.5 5.0 4.5 4.13.6 3.1 2.4 2.0 1.4 1.0 0.0

105 7 12 7.1 7.11 7.0 6.8 6.6 6.4 6.1 5.7 5.2 4.6 4.2 3.7/3.2 2.5 2.0 1.4

1.0 0.0 108 7 24 7.31 7.2 7.2 7.01 6.8 6.6 6.35.9 5.3 4.7 4.33.913.3 2.6 2.1

1.5

1.0 0.0 111 7 36 7.5 7.41 7.4 7.2 7.0 6.7 6.4 6.05.5 4.8 4.41 4.03.4 2.6 2.1 1.5 1.1 0.0 114 7 48 7.71 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 2.2 1.6 1.1 0.0 117 8 0 7.91 7.8 7.8 7.6 7.4 7.1 6.8 6.3 5.8) 5.1/4.714.2 3.6 2.8

1.6 1.1 0.0 120 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 2.3 (1.6 1.1 0.0 123 8 24 8.3 8 21 8.2 8.0 7.71 7.5 7.116.6 6.1/5.3 4.9 4.4/3.7 2.9 2.4 1.71 1.2 0.0

126 8 36

8.5) 8.4) 3.3 8.2 7.9 7.6 7.316.8 6.2/5.5/5.01 4.53.83.0 2.4 11.7 1.2 0.0 129 8 48

8.7 8.6 8.5 8.4 8.11 7.8) 7.4 7.06.4 5.6 5.1 4.6 3.9 3.1 2.5 11.8 1.2 0.0 132 90 8.9 8.818.71 8.5 8.3 8.0 7.6 7.1 6.5/5.7 5.3 4.7/4.0/3.1 2.5

1.2 0.0 135 9 12 9.1 9.01 8.9 8.5 8.5 8.2 7.8 7.3 6.6 5.8 5.4 4.8 4.1/3.2 2.6

1.3 0.0 138 9 24

9.31 9.2 9.11 8.9 8.7 8.3 7.9 7.416.8 6.05.5 4.9 4.2 3.3 2.7 1.9 1.3 0.0 141 9 36 9.5 9.4) 9.3 9.1 8.9 8.5 8.1 7.6 6.9 6.1/5.6 5.014.3 3.3 2.7

1.9

1.3 0.0 144 9 48 9.7 9.6 9.5 9.3 9.0 8.7 8.37.8 7.1 6.215.7 5.1 4.4 3.4 2.8 2.0 1.4 0.0 147 10 0 9.91 3.8) 9.7) 9.51 9.2 8.91 8.5 7.9 7.2 6.4/5.8 5.24.5 3.5 2.8 2.0 1.4 0.0 150 10 12 10.1 10.0) 9.9 9.7 9.4 9.1 8.6 8.11 7.4 6.5 6.05.3 4.5 3.6 2.9 2.0 1.4 0.0 153 10 24 10.3 10.2 10.1 9.9 9.6 9.2 8.8 8.2 7.5 6.6 6.1 5.4 4.6 3.6 2.9 2.1 1.4 0.0 156 10 36 10.5/10.4|10.310.11 9.8 9.4 9.0 8.4 7.6 6.7 6.2 5.5 4.7/3.7 3.0 12.1 1.5 0.0 159 10 48 10.7/10.6 10.5 10.5 10.0 9.6 9.1 8.5 7.8 6.916.3 5.6 4.81 5.8 3.0 2.21 1.5 0.0 162 11 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 3.1 2.21 1.5 0.0 165 11 12 11.1 11.0 10.910.610.3 9.9 9.5 8.0 8.17.16.5 5.8 5.03.9 3.2 2.2 1.6

168 11 24 11.311.2 11.0 10.8 10.5 10.1 9.6 9.08.27-2 6.7 5.9 5.1 4.0 3.2 2.31 1.6 0.0 171 11 36 11.5 11.4 11.2 11.0 10.7 10.3 9.8 9.2 8.4 7.4 6.8 6.0 5.2 4.0 3,3 2.31

1.6 0.0 174 11 48 11.611.611.4 11.210.9 10.5 10.09.3 8.5/7.5| 6.9 6.1 5.3 4.1

3.3 2.41 1.6 0.0 177 12 0 11.8 11.8 11.6 11.4 11.1 10.6 10.1 9.5 8.7 7.7 7.0 6.2 5.3 4.2 3.4 2.4 1.7 0.0 180 Time 001 20 4° | 60 80 100 120 140 16°18- 19° 20° 210 22°22° 30'23° 23° 15 (23° 28' Long. from

of

1.7

2.3

1.8 1.8

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

TABLE XIV.

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

Arg. Time fr. 100 120 110 160 18° 10° 12° 1 14° | 16 | 18° 199 200 210 | 220 23°1230. 28' Long. of noon.

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° 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 0.0 15 2 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 30 3 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 45 4 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 60 5 0.1 0.1 0.1 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 75

0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90 7 0.1 0.1 0.1 0.1 0.1 10.1 0.1 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105 8 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120 9 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 135 10 0.1 0:1 0.1 0.1 0.1 0.1

0.1

0.1 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 150 11 0.1 0.1 0.1 0.1

0.1

0.1 10.1 0.1 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 165 12 10.1 10.1 0.1 10.1 0.1 10.1 10.1 0.1

0.1

0.1 0.0 10.0 10.0 0.0 0.0 0.0 180

0.1

TABLE XV.

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

Arg. Time fr.

0° go 4° 6° 80 10° | 120 | 14 | 16° | 18° | 19 | 20 | 21° | 22 | 23 |23° 28' Long. of noon. +++++++++++++ +

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 ou 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

15 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.0 0.0 0.0 30

0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.0 0.0 0.0 45 4 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.0 0.1

0.0 60 0.1 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.0 75 0.1 0.0 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.1 0.0 90

0.1 0.0 0.0 0.0 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.0 105 8 0.1 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.0 9 0.1 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 0.1 0.0 135 10 0.1 0.1 0.0 0.1 0.1 0.2 0.3 03 0.3 0.3 0.3 0.3 0.3 0.2 0.1 0.0 150 11 0.1 0.1 0.0 10.1 0.1 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.2 0.1 0.0

165 12 10.1 0:1 0.0 10.1 10.1 0.3 0.3 10.3 0.3 10.3

0.3 10.3 0.3 0.3

0.2 0.0 180

120

TABLE XVI.

+

0.1

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

Arg. Time fr. 0° 20 4° / 6° go T10° | 120 | 14° 16° | 18° | 19° | 20° | 21° | 22° | 23° 23° 28' Long. of noon. +++++++++++++++

Ship. Oh. 0.010.0 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 15 2 0.0 10.0 0.0 0.0 0.0 0.1 0.1 0.1

0.1

0.1 0.1 0.1 0.0 0.0 0.0 30 3 0.0 10.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1

0.1 0.1 0.0 0.0 0.0 45 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1

0.1

0.1 0.1 0.1 0.0 0.0 60 5 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.1 0.1 0.1 0.0 75 6 0.0 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.1 0.0 90 7 0.0 0.0 0:1 0.1 0.2 0.2 10.2 0.2 0.2

0.2 0.2 0.2 0.2 0.1 0.1 0.0 105 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 0.1 0.1

120 9 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.3 0.3 0.3 0.2 0.1 0.1 0.0

135 10 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 0.0 150 11 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 0.0 165 12 0.0 10.1 0.1 0.2 0.3 0.3 10.4 ( 4 10.4 10.4 10.4 10.4 10.3 10.2 0.2 0.0 180

0.1

0.2

0.0

TABLE XVII. FOR SELECTING A PROPER STAR, FROM WHICH THE MOUN'S DISTANCE IS TO BE OBSERVED. DLat. D.Long. | DLat. D.Long. D Lat. D. Long. (IDLat. D. Long. D Lat. D.Long DIat. D.Long. 0° 109 50 10° 0 10° 18° 34' 159 286 57' 20°

6'

570 23 10

10 57 11 20 33 16 91 12 21 43 54 26 61 46 10 12 49 12 22 35 17 33 31 22 46

52 27 66 58 3 10 14 42 13 04 39 18 35 56 23 50

3 11 28 73 48

41°

OOC

TO REDUCE THE RIGHT ASCENSION OF THE SUN TO ANY GIVEN MERIDIAN, “

AND TO ANY GIVEN TIME UNDER THAT MERIDIAN, Arg.

Arg. Time from

Arg. Right Ascension of the Sun.

Long. noon. Oh. 1 h. 2h 3h. 4 h. i 5h. 6 h. 7 h. 8h. 9 h. 10 h. 11 h

of Ship. Oh. 0 0'0' 0'0' 0'10' Ꭴ 0 00 00 00 00 00 00

0° 0 12 2 0 2 0 20 2 0 20 2 0 2 0 20 2 10 2 0 2

3 0 24 0 40 10 4 0 4 0 4 'lo 4 10 4 lo 4 0

04 6 36

60 o lo 60 6 0 6 0 6 0 6 0 60 6 10 6 10 6 10 5 48 710

70 80 8 0 80 80 8 0 8 10 8 0 70 7 12 1

10 9 0 90 9 0 10 0 10 0 10 0 10 0 10 10 10 10 10 10 90 9 15 1 12 0 11 0 11 0 11 0 12 0 12 0 12 0 12 0 12 0 12 0 11 10 11 10 11 18 1 24 13 0 13 0 13 0 14 0 14 0 14 0 14 0 14 0 14 0 13 0 13 O 13 21 1 36 10 15 0 15 0 15 0 15 0 16 0.16 0 17 0 16 0 16 0 15 {0 15 0 14 24 1 43. 10 16 0 16 0 17 0 17 0 18 0 18 0 19 0 18 0 18 0 17 10 17 0 16 27 2 0 0 18 0 18 0 19 0 19 10 20 0 21 10 21 021 020 019 0 19 10 18 30 2 12 0 20 0 20 0 21 0 1 0 22 0 23 0 23 0 23 0 22 0 21 10 20 10 20 33 2 24 0 24 0 22 0 22 0 23 0 24 0 25 0 25 0 25 0 24 0 23 0 22 0 22 36 2 36 0 24 0 24 0 24 10 25 0 26 0 27 10 27 0 27 0 26 0 25 0 24 0 23 39 2 43 0 25 0 25 0 26 0 27 0 28 0 29 0 29 0 29 0 28 0 27 10 26 JO 25 42 3

0 270 27 0 28 0 29 0 30 0 31 10 31 0 31 0 30 0 9 0 28 10 27 45 3 12 0 29 0 29 0 30 0 31 0 39 0 33 0 33 0 33 0 32 0 31 0 30 0 29 48 3 24 0 31 0 31 0 32 0 33 0 34 0 35 0 35 0 35 40 34 0 33 0 32 10 31 51 3 36 10 33 0 33 0 34 0 35 0 36 0 37 0 37 0 37 0 36 0 35 0 33 10 32 54 3 48 0 35 0 35 0 36 0 37 10 33 0 39 0 39 0 39 0 38 0 36 10 35 10 34 57 4 0 0 36 10 36 10 37 0 39 0 40 041 10 42 0 41 | 40 0 38 0 37 0 36 60 4 12 0 38 0 350 39 0 41 0 42 043 044 0 43 10 44 0 40 10 39 10 38 63 4 24 0 40 0 40 0 41 0 43 044 045 0 46 045 044 0 42 10 41 10 40 66 4 36 0 42 0 42 0 43 10 45 0 46 10 47 0 48 047 10 46 0 44 0 42 0 41 69 48 0 34 0 44 10 45 10 46 0 48 0 49 0 50 0 49 0 48 0 46 0 44 0 43 72

10 45 046 047 0 48 0 50 51 052 051 0 50 0 48 0 46 10 45 75 12 0 47 0 47 0 49 0 50 0 52 0 54 0 54 0 53 0 52 0 50 0 48 0 47 78 5 24 0 49 0 49 0 50 0 52 0 5.0 56 10 56 0 55 0 54 0 52 0 50 10 49 81

36 0 51 50 51 O 52 0 54 o 56 0 58 0 58 0 58 0 56 0 54 10 52 0 50 84 48

0 53 0 53 0 54 0 56 0 58 11 0 0 1 0 0 53 0 56 0 54 o 52 87 0 054 055 056 0 58 1 0 1 2 1

2 1 0 0 58 0 55 0 54 90 12 056 10 56 0 58 1 0 1 2 1

4 1 4 1 2 1 0 0 57 10 56 93 24 058 0 58 1 0 1 2 1 4 1 6 1 6 1 61 4 1 2 0 59 0 58 96

36 1 01 0 1 2 1 4 1 6 1 8 1 91 81 6 11 3 (1 1 0 59 99 6 48 1 2 1 21 3 1 6 11 8 1 10 1 11 1 10 1 8 1 5 1 31 1 102 7 0 1 4 1 4 1 5 1 8 1 10 1 12 1 13 1 12 1 10 1 7 1 5 1 105 7 12

5 1 6 1 m 1 10 1 12 1 14 1 15 1 14 11 12 1 9 1 7 1 5 108 7 24

71 7 1 9 1 12 1 14 11 16 1 17 1 16 1 14 1 11 1 8 1 7 111 7 36

9 1 9 1 11 1 14 1 16 1 18 1 19 1 18 1 16 1 13 1 10 1 9 7 48 1 11 1 11 1 13 i 16 1 18 1 20 1 21 1 20 1 18 11 15 1 12 1 10 117

0 1 13 1 13 11 15 1 17 1 20 1 22 1 23 1 22 1 20 1 17 11 14 1 12 120 8 12 1 14 1 15 11 17 1 19 1 22 1 25 1 25 1 24 1 20 1 19 1 16 1 14 123

24 1 16 1 16 i 18 1 21 1 24 1 27 1 27 1 26 1 24 1 21 1 18 1 16 126 8 36 1 18 1 18 1 20 1 23 1 26 1 29 1 29 1 28 1 26 1 23 1 19 1 18

129 8 48 1 20 1 20 1 22 1 25 1 28 1 31 1 31 1 30 1 28 1 25 1 21 1 19 132 9 0 1 22 1 22 1 24 1 27 11 30 1 33 1 31 1 32 1 30 1 26 1 23 1 21 135 9 12 1 24 1 24 1 26 1 29 1 32 1 55 1 36 1 35 1 32 1 28 1 25 1 23

138 9 24 1 25 11 261 28 1 31 1 34 1 37 1 38 1 37 1 34 1 30 1 27 1 25 141 9 36 1 27 1 27 11 30 1 33 1 36 1 39 1 40 1 39 1 36 1 32 1 29 11 27

144 9 48 1 29 1 29 11 32 1 35 1 39 1 41 142 1 41 1 38 1 34 1 31 1 28 147 10 0 1 31 1 31 1 33 1 37 1 40 1 43 1 44 143 1 40 1 36 1 32 11 30 150 10 12 1 33 1 33 1 35 1 39 1 42 1 45 1 46 1 45 11 12 1 38 1 341 32 153 10 24 1 34 1 35 1 37 1 41 1 44 1 471 48 1 47 1 44 1 40 1 36 1 34

156 10 36 1 36 1 37 39 1 43 11 46 1 49 1 50 1 49 1 46 1 42 1 38 1 36 159 10 48 1 38 1 38 1 41 | 45 1 48 1 51 152 1 51 1 48 1 41 11 40 1 37 162 11 0 1 401 401 43 1 46 11 501 53 1 54 1 53 1 50 1 461 42 1 39 165 11 12 1 42 1 42 1 45 1 48 1 52 11 55 156 1 551 52 1 48 1 44 11 41 168 11

1 44 1 44 146 1 50 1 54 1 57 11 59 1 57 1 54 1 49 1 45 1 43 171 11 36 1 45 1 46 1 48 1 52 1 57 2 02 1 1 59 1 56 11 51 1 47 11 45 174 11 48 1 47 11 48 1 50 1 54 1 59 2 2 12 3 2 1 1 58 1 53 1 49 1 46 177 12 0 1 491 49 52 1 56 2 1 2 4 2 5 2 3 12 01 55 1 51 1 48 180 Arg. Oh. 1 h. 2 h. 3 h. 4 h. 5 h. 6h. 17h. 8 h. 9 h. / 10h.lu h.

Arg. Time from

Long. Noon. Arg. Right Ascension of the Sun.

of Ship.

00 Oloser er er vier of oft Coco WC NONOSN

114

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