TABLES II. III. IV. V.

01231 678

CORRECTIONS of the APPARENT ALTITUDES of the SUN and STARS.

65

20 4.30 4.39 20 2.17 2.25

61

3021. 521.14

304.264.35

56

504.424.51

11. 04.384.47 21. 02.192.27 32. 01.241.3153. 0 .38 .43

30.37 .42

302.152.23 33. 01.211.28 30 .36 .41

.40 20 1.26 1.33 52. 0 .39 45 401.251.32 30 .39 .44

.46

201.23 1.30

401.221.29||54. 0 .36 .41

40 20. 920.18

404.224.31

53

50 19.16 19.25

402.142.22

502.132.21

504.184.27

12. 04.144.23 22. 02.122.20 34. 01.171.2456. 0 .33 .38

102.112.19 201.161.23 30 .33 .38

20 1.19 1.2655. 0 .35 .40 401.18 1.25 30 .34 .39

20 16.55 17. 4

20 4.74.16

20 2.102.18

41

30 16.14 16.23

38

.32 .37

40 15.36 15.45

404. 14.10

402.82.16

201.13 1.2058. 0

.31 .36

36

50 15. 015. 9

503.574. 6

502. 72.15 401.121.19 30 .31.35

13. 03.544. 323. 02. 62.14 36. 01.111.1859. 0 .30 34

20 1.10 1.17 30 .30 .34 401.10 1.1760. 0 .29 .33 302. 82.1137. 01. 91.16 30 .28 .331 402. 22.10 201. 81.1561. 0 .27 .32 502. 12. 9 401. 71.14|| 30 .27 .31

14. 03.373.46 24. 02. 02. 838. 01. 61.13 62. 0 .26 .30

103.193.28

101.592. 7 201.51.12 30 .26 .30 201.582. 6 401. 41.11 63. 0.25 .29 301.572. 539. 01. 31.10 30 .25 .29| 401.562. 4 201. 21. 964. 0 .24 .28 501.552.3 401. 11. 8 30 .24 .28

15. 03.213.30 25. 01.542. 240. 01. 11. 865. 0 .23 27 101.532. 1 201. 01. 7 30.23.26 201.522. 0 401. 01. 666. 0 .22 25 301.511.5941. 0 .591. 5 30 .22 .25

16. 03. 83.1726.

50 2.583. 7
17. 02.563. 527.

102.543. 3
202.523. 1

18. 02.452.5428.
102.432.52
202.422.51
30 2.40 2.49
402.382.47
502.37 2.46

19. 02.362.44|29.
102.352.431
202.332.41
302.322.40

40 2.31 2.39

01.481.56||42. 0.571. 368. 0 .20 .23 101.47 1.55 20 .561. 2 30 .20 .23 40 .561. 169. 0 .19 .22 30 1.45 1.53 43. 0.551. 170. 0.18 .21 .55 1.071. 0.17 .20j .541. 0 72. 0 .16.19 .53 .5973. 0.15 .17 .5874. 0 .14 .16 .58 75. 0.13) .15 .5776. 0 .12 .14 .57 77. 0 .11 .13 .56||78. 0 .10 .12 .55 79.0 9.11 8.10

40 1.45 1.53
50 1.44 1.52 40
01.431.51 44. 0
101.421.50 20 .53
201.421.50 40 .52
30 1.41 1.49||45. 0 .51
40 1.41 1.49 20 .51
50 1.40 1.48 40 .50
01.39 1.47 46. 0 .49
101.38 1.46 20
.49
20 1.38 1.46 40 .48
30 1.37 1.45||47. | .47
401.37 1.45 20.47
50 1.361.44

102. 52.13

202. 42.12

40 1.50 1.58
501.49 1.57

Correction of the MOON'S SEMIDIAMETER, or HORIZONTAL PARALLAX, for any given Time between Noon and Midnight, or of the SUN'S DECLINATION for a given Time from the preceding Noon. VARIATION OF THE )'s SEMIDIAMETER OR HORIZONTAL PARALLAX IN 12 HOURS.

Time after
Noon or

2 3 4 5 6 7 8 9101112131415161718192021 22 23 24 25 26 27 28

2

2 2 2 2

2 2 2

3 3

112344

122345

1223 &

1234 LO

12334
123455

2 2 2 2 2 2

123456

12345

3

3 3 3

123456

1123456

123567

45

667

4 4 5 5

5 5

2 2 3 3 4 4 5 5 5 6

23 34

33 4

2 2 3 3 4

2 2 3 3 4 5

2 2 3 4 4 5 6

1 1 2 3 3 4 5 5 6
2 3 4 4 5 6 6
3 4 4 5 6 7

5 5

567

7 8 8 9 9 9101010

7 7 7 8 8 9 9101010111112
8 8 9 91010111111121213

8 8 9 9101011111212131314

6 7 8 8 9 91010111112121314141515 8 8 9 91010111212 13 13 14 15 151616 77 89 91011111212 13 14 14 15 16 16 17 17 7 89 9101111121313 14 15 15 16 1717 18 19 8 89101111121313 14 15 16 16 17 18|18|1920| 8 9 10 10 11 12 13 13 14 15 16 16 17 18 19 19 20 21 8 9 910111213 13 14 15 16 17 17 18 19 20 21 21 22 7 8 9 10 11 12 12 13 14 15 16 17 1718192021222223 7 8 9101011121314151617171819202122232424|

4 5 6 7 8 910111213|14|15|16|17|18|1920|21|22|23|24|25|26|27|28|

15

16

8 9101111121314151617 18 19 20 21 22 23 24 25 26 27
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

24

ALTITUDES by which the APPARENT TIME OR HORARY ANGLE may be found with the greatest Accuracy.

DECLINATION OF THE OBJECT, OF THE SAME NAME AS THE LATITUDE

O O с O O

8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40
12 14 16 18 20 22 21

00

802679

003692

936

1470

0462

O

0

0

5

10

4

6

8 8

5
7

5678

18 17
11 24 37 539057 46 39 34 30| 28 | 25 | 23 22 20 19 18 17
102233 47 66 67 52|44|38|34|31| 28| 26 | 24 | 22 | 21 | 20 | 19
10 20 30 42 | 59 9059|49|4237 34 31 28 26 25 23 22 21 20 19
918 28 3851 68 68 55 | 47 |41|37|34|31|29|27|25|24| 23 | 21 | 20
S 17 26 35 46 59 90 61 52 45 40 37 33 31 29 27 | 26 | 24 | 23 | 22
816 24 33 | 42 | 53 | 69 70 57 49 44 40 36 34 31 29 28 26 25 24
7 15 22 30 39 49 61|90|63|54| 47 | 43 39 36 33 31 30 28 27 25
714 21 28 36 45 56 71 71 59 51 46 42 39 36 34 32 30 28 27
6 13 20 27 | 34 | 42 | 52 | 63 |90|65 56 49 45 41 38 36 34 32 30 29
6 12 19 25 32 40 48 58 72 72 60|53| 48 44 41 38 36 34 3230
6 12 18 24 31 37 45 54 6590 66 57 5147 43 40 38 36 34 32
611 17 23 29 35 42 50 60 73 73 62 55 50 46 43 40 38 36 34
5 11 16 22 28 34 40 47 56 66 90 67 59 53 49 45 42 40 38 36
5 10 16 21 | 26 | 32 | 38 45 52 61 73 74 63 57 51 48 44 42 39 37
20 | 25 | 31 | 36 43 49 57 67 90 68 60 54 50 47 44 41 39

14

16

15 15 14

15

18

19

20

21

25

5

9 14 19 24 | 29 | 35 | 41 | 47 || 54 62 74 75 64 58 53 49

46 | 43 | 41

914 19 23 28 33 39 45 51 59 68 90 69 6156 52 | 48 | 45 | 43
913 18 22 | 27 | 32 | 37 | 43 | 49 | 56 64 75 76 65 59 54 51 48 45
913 17 22 26 31 36 41 47 53 60 6990 70 62 57 53 50 47
812 17 21|25|| 30 | 35 | 40 | 45 | 51 | 57 65 76 76 66 60 56 52 49
S12 16 20 | 25 | 29 | 34 38 43 49|54|61|70 90 71 64 58
8 12 16 20 24 28 33 | 37 | 42 | 4752 58 66 76 77 67 61
8 11 15 19 23 27 32 36 40 45 50 56 62 71 90
7 11 15 19 | 22 | 26 | 31 35 39 43 48 54 60 67 77
7 11 14 18 22|26| 30 | 34 | 38 | 42 | 47 | 52 | 57 63 72

24

26

28

29

30

32

62 58

33

34

35

36 3

3 7 10 14 18|21|25| 29 33 37 41 | 45 | 50 | 55 61 68 77 78 69 63
7 10 14 17|21|24| 28 32 36 40 44 48 53 58 65 72 90 73 66

35

36

17 20 | 24 | 27 31 35 39 43 47 51 56 62 68 78 78 70 10 13 1620 | 23 | 27 |30|34|38|41|45 50 54 59 65 7390 74 16 | 19 | 23 | 26 29 33 37 40 44 48 53 57 62 69 78 78

37

38

39

16| 19 | 22 | 25 | 29 32 36 39 43 47 51 55 60 66 73 90 6 9 12 15 18 21 24 28 31 34 37 | 41 | 45 | 48 52 57 62 67 74 9 12 15 17 20 2326 29 33 36 39 43 46 50 5458 62 68 8 11 14 17 20 23 25 28 31 34 38 41 44 48 51 55 59 63 811 14 16 19 22 24 27 30 33 36 39 42 46 49 52 56 60

40

42

44

46

48

8 10 13 16 18 21 2427 29 3235 38 41 44 47 50 54 57
18 20 23 26 28 31 34 37 39 42 45 48 51 55
7 10 12 15 17 | 20 | 22 | 25 28 30 33 36 38 | 41 | 43 | 46 49 53
710 12 15 | 17 | 19 | 22 | 24 | 27 | 29|22|35|37| 40 | 42 | 45 | 48 | 51
7 9 12 14 17 19 2124 | 26 | 29 | 31 34 36 39 | 41 | 44 | 47 | 49

50

52

54

56

58

7

7

4

7 9 12 14 16 19 21| 23 | 26 | 28 30 33 35 38 40 43 45 48
91114 16 18 20 23 | 25 | 27 30 32 35 37 39 42 44 47
7 9 11 13 16 18 20 22 | 25 | 27 | 29 31 34 36 39 41 43 46
911 13 15 18 20 22 24 26 29 31 33 35 38 40 42 45
6 9 11 13 1.5 17 19 22 24 26 28 30 33 35 37 39|42|44|

60

62

64

66

68

4

4

4 6

699

6

O

6 911 13 15 17 19 21 | 23 | 26 | 28 30 32 34 36 39 41 43 811 13 15 17 19 21 | 23 | 25 | 28|30|32|34 35 38 40 42 8 10 12 15 17 19 21 23 25 27 29 31 33 35 384042 4 6 8 10 12 14 16 19|21| 23 | 25 | 27 | 29 | 31 33 35 37 39 42 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 35 37 39 41 о O O

70

72

74

76

8 10 12 14 16 18 20 | 22 | 24 | 26 | 28|30|32|34|36|38|10

80

Min.

LOGARITHMS for finding the CORRECTION of the SUN'S DECLINATION, &c.

HOURS, DEGREES, OR MINUTES.

Min.

or

Sec.

0

0

1 3.1584 1.3730

2 2.85731.3660

3 2.68121.3591

4 2.5563 1.3522

234

1.3802 1.0792 0.9031 0.7781 0.68120.6021 0.5351 0.4771 0.4260 0.3802 0.3388 0756 9007 7763 6798 6009 5341 4762 4252 3794 3382 0720 8983 7745 6784 5997 5330 4753 4244 3787 3375 2 0685 8959 7728 6769 5985 5320 4744 4236 3780 3368 0649 8935 7710 6755 5973 5310 4735 4228 3773 3362 5 2.45941.3454 1.0614 0.89120.7692 0.67410.5961 0.5300 0.4726 0.42200.3766 0.3355 6 2.38021.3388 0580 8888 7674 6726 5949 5289 4717 4212 3759 3349 6 0546 8865 7657 6712 5937 5279 4708 4204 0512 8842 7639 6698 5925 5269 4699 4196 3336 8 0478 8819 7622 6684 5913 5259 4690 4188 3737 3329 9

10 2.1584 1.3133 1.04410.87960.7604 0.6670 0.5902 0.5249 0.4682 0.4180 0.37300.3323 10 11 2.11701.3071 0411 8773 7587 6656 5890 5239 4673 4172 3723 3316 11 0378 8751 7570 6642 5878 5229 3716 3310 12 0345 8728 7552 6628 5866 5219 4655 4156 3709 3303 13 0313 8706 7535 6614 5855 5209 4646 4148 3702 3297 14

12 2.0792 1.3010 13 2.0444 1.2950

14 2.01221.2891

4664

15 1.9823 1.2833 1.0280 0.8683 0.75180.6600 0.58430.5199 0.46380.4141 0.3695 0.3291 15 16 1.9542 1.2775

17 1.92801.2719

18 1.90311.2663

0218 8661 7501 6587 5832 5189 4629 4133 3688 3284 16

3278 17 3271 18

0216 8639 7484 6573 5821 5179 4620 4125 3681
0185 8617 7467 6559 5809 5169 4611 4117 3674
0153 8595 7451 6546 5797 5159 4603 4109 3667 3265 19

19 1.8796 1.2607
20 1.8573 1.2553 1.01220.85730.74340.65320.57860.51490.4594 0.41020.36600.3258 20
21 1.8361 1.2198 0091 8552 7417 6518 5774 5139 4585 4094 3653 3252 21
6505 5763 5129 4577 4086 3646
6492 5752 5120 4568 4079 3639

3246 22

3239 23

22 1.8159 1.2445 0061 8530 7401 23 1.79661.2393 0030 8509 7384 24 1.77821.2340 1.0000 8487 7368 6478 5740 5110 4559 4071 3632 3233 24 25 1.7604 1.22890.99700.84660.73510.6465 0.5729 0.5100 0.4551 0.4063 0.3625 0.3227 25 26 1.74341.2239 9940 8445 7335 6451 5718 5090 4542 4055 3618 3220 26 27 1.7270 1.2188 9910 8424 7318 6438 5706 5081 4534 4048 3611 3214 27 28 1.71121.2139 9881 8403 7302 6425 5695 5071 4525 4040 3604 3208 28 29 1.69601.2090 9852 8382 7286 6412 5684 5061 4516 4032 3597 3201 29 30 1.68121.2041 0.9823 0.8361 0.7270 0.6398 0.5673 0.5051 0.4508 0.4025 0.3590 0.3195 30 31 1.66701.1993 9794 8341 7254 6385 5662 5042 4499 4017 3583 3189 31

5032 4491 4010 3576 3183 32 9737 8300 7222 5023 4482 4002 3570 3176 33 9708 8279 7206 6346 5629 5013 4474 3994 3563 3170 34

35 1.6143 1.1806 0.96800.82590.7190 0.6333 0.5618 0.5003 0.4466 0.3987 0.35560.3164 35

3151 37

36 1.60211.1761 9652 8239 7174 6320 5607 4994 4457 3979 3549 3157 36 9625 8219 7159 6307 5596 4984 4449 3972 3542 9597 8199 7143 6294 5585 4975 4440 3964 3535 3145 38 9570 8179 7128 6282 5574 4965 4432 3957 3529 3139 39

37 1.59021 1716 38 1.5786 1.1671

39 1.5673 1.1627

40 1.5563 1.1584 0.95420.81590.71120.62690.5563 0.4956 0.4424 0.3949 0.3522 0.3133 40 41 1.54561.1541 9515 8140 7097 6256 5552 4947 4415 3942 3515 3126 41 42 1.53511.1498 9488 8120 7081 6243 5541 4937 4407 3934 3508 3120 42 43 1.52491.1455 9461 8101 7066 6231 5531 4928 4399 3927 3501 3114 43 44 1.51491.1413 9434 8081 7050 6218 5520 4918 4390 3919 3495 3108 44 45 1.50511.1372 0.9408 0.8062 0.7035 0.6205 0.5509 0.49090.4382 0.3912 0.3488 0.3102 45 46 1.49561.1331 9382 8043 7020 6193 5498 4900 4374 3905 3481 3096 46 47 1.4863 1.1290 9356 8023 7005 6180 5488 4890 4365 3897 3475 48 1.47711.1249 9330 8004 6990 6168 5477 4881 4357 3890 3468 9305 7985 6975 6155 5466 4872 4349 3882 3461

49 1.46821.1209

3089 47

3083 48 3077 49

50 1.4594 1.11700.92790.79660.6960 0.6143 0.5455 0.4863 0.4341 0.3875 0.3454 0.3071 50 51 1.45081.1130 9254 7947 6945 6131 5445 4853 4333 3868 3448 3065 51 52 1.44241.1091 9228 7929 6930 6118 5435 4844 4324 3860 3441

53 1.43421.1053 9203 7910 6915 4835 4316 3853 3434 54 1.42601.1015 9178 7891 6900 6094 5414 4826 4308 3846 3428 3047 54 55 1.4180 1.0977 0.9153 0.7873 0.6885 0.6081 0.5403 0.48170.4300 0.3838 0.34210.3041 55 56 1.4102 1.0940 9128 7854 6871 6069 5393 4808 4292 3831 3415 3034 56 57 1.4025 1.0902 9104 7836 6856 6057 5382 4798 4284 3824 3408 3028 57 58 1.3949 1.0865 9079 7818 6841 6045 5372 4789 59 1.3875 1.0828 9055 7800 6827 6033 5361 4780