App.

Alt.

O

0

10

20

30

33

36

39

42

63

69

72

75

"I

1 3 5 7 9 11

PLANET'S HORIZONTAL PARALLAX.

13

78

81

84

87

90 00000 0

TABLE X.

"

"I "/ "/ "/ "/

"/

1357 9 11

13

15 17 19 21

23

1 3 5 7 9 11

13

15

17

19 21 23

1 3 5 7 9

10

12

14

16

18 20 22 24

25 1 3 5 6 8

10 12 14 15 17 19 21 23

13 4 6 8 10

11

13

15

16

18

20

1 2 4 6 8

9

11

13

14

16

18

19

21

1 2 4 6 7

9

11

12

14

15

17

19

20

1 2 4 5 7

9

10

12

13

15

16

18 19

1 2 4 5 7

8

10

11

13

14 16

17

19

20 22 23

8

9

11

12

13

15

16

18

19

21 22

7

9

10

11

13

14

15

17

18

19 21

45 1 2 4 5 6 48 1 2 3 5 6 51 1 2 3 4 6 54 1 2 3 4 5

7

8

9

11

12

13 14 16 17

18 20

6

8

9 10

11

12 14 15 16

17 18

57

1 2 3 4 5

6

8

9

10

60

1 2 3 4 5 6 7 8

9

10

11 12 14 15 16 17 11 12 13 14 15 16 10 10 11 12 13 14 10 11 12 13

0 1 2 3 4

5 6 7

8 9

66 0 1 2 3 4

6

8

9

9

8 8 9

10 10 11

6

6

8 8 9 10

7
6

4 4 5 5

6 7 8 8

3

4

4

4 5

6

6

6

2

3

3

3 4 4 4

5

2

2

2

2 2 3 3 3 3

1

1

1

1 1

1 2 2

0

0

0

0

0

0

0

15

15 17

4

5

4

5

5

0 1 2 3 3
01223
011 22 3

3

4 5

3

3

0 11 12 2
00111 2
00111 1 1

2

00000 1 1

0

0

CO

21

པ་

25

25 27

25

"I

27 29

31

29

30

27

29

26

28

25 27

24

26

25

21 23 24

23

23

29

ہے

22 23

"

∞

31

པ་

The Parallaxes and Semidiameters of the Planets are given in the Nautical Almanac.

Distance in Miles.

0.25 0.5

0.75

1.0

1.25

1.5

Dip.

2.0

2.5 3.0

3.5

4.0

5.0

6.0

Height of
the Eye
in Feet.

DIP OF THE SEA HORIZON.

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

TABLE XI.

15

DIP OF THE SEA HORIZON AT DIFFERENT DISTANCES FROM IT.

34

17

12

9

7

53

56

TABLE XII.

62

65

68

74

77

80

83

Height of the Eye in Feet.

Dip.

20

4

18

7

8 18

8 28

8 38

8 48

8 58

15

Height of
the Eye

in Feet.

86

89

92

95

98

101

104

107

110

113

116

119

122

125

128

131

134

25

Dip.

9

8

9

17

9

26

9

36

9

45

9 54

10 2

10 11

10 19

10 28

10 36

10 44

10 52

11 0

11 8

11 16

11 24

30

I

68

34

23

17

14

12

10

Sec. 0m. 1m. 2m.

"

0 0-0 2-0

1

0.0 2.0

2 0-0 2-1

FOR THE REDUCTION OF THE MERIDIAN,

7-8

8-0

81

8-2

3m.

9.2

9.4

9.5

"

177

17-9

181

18.3

TABLE XIII.

Showing the value of A

"

"

"

I

"

31.4

317

49-1 70-7 49-4 71-1 31.9 49-7 71-5

3 0-0 2-2

32.2

4

00 2-2

8.4

5

0-0 2-3

8.5

6 0.0 2.4

8.7

7 0-0 2:4 8.8

8

0.0 2.5

9

0.0 2.6

242-6 288-2 337-7 391-1 243 3 289-0 338-6 392-1 244'1 289-8 339-4 393-0 244-8 2906 340-3 393-9 245 5 291-4 341-2 394-8

10 0-1 2-7

11 0-1 2-7

19-9

34.6 53-1

1018
102.3

2463 292-2 342-0 395-8

132.6 1668 2049 2470 293-0 342-9 3967

12 0-1 2-8
13 01 2.9 9.6
14 0-1 3-0 9.8
15 0-1 3.1 9-9
16 01 3.1 10.1
17 0-2 3.2 10.2
18 0-2 3-3 104
19 0-2 3.4 10.5
20 0-2 35 10.7
21 0-2 3-6 108
22 0.3 37 110
23 0.3 3.8 11.2
24 0.3 3.8 11.3
25 0.3 3.9 11.5
26 0-4 4-0 11.6
27 0.4 4.1 11.8
28 0.4 4.2

96-2 1257 1590 196-3 237-5 282-7 331-8 384-7 967 126-2 1596 | 1970 238.3 283-5 332-6 3856 971 126-7 1602 1976 2390 284-2 333-4 386-6 50-1 71.9 97-6 127-2 160 8 1983 239-7 285-0 334-3 387:5 18.5 32.5 50.4 72-3 980 127 8 161 4 1989 240-4 2858 335-2 388-4 18.7 32-7 50-7 72.7 98.5 128.3 162-0 1996 241-2 286′6 336′0 389-3 18-9 33.0 511 73.1 99-0 128-8 162-6 2003 241-9 287-4 336-9 390-2 19.1 33.3 51.4 73-5 99-4 129-3 163-2 2009 8.9 19.3 33.5 517 73-9 99-9 129-9 163-8 2016 9.1 19.5 33.8 52.1 74:3 100-4 1304 1644 | 202-2 19-7 34:1 52.4 74-7 100-8 131-0 165-0 202-9 34.4 52-7 75.1 1013 131-5 165-6 2036 20-1 755 132 0 1662 2042 20.3 34.9 53.4 75.9 20.5 35.2 53.8 76-3 102.7 1331 1674 2056 2477 293-8 343-7 397-6 20.7 35.5 54.1 76.7 103-2 1336 1680 206-3 248.5 294 6 344-6 3986 20.9 35'7 54:5 77.1 103-7 134-2 1686 2069 249 2 295 4 345.5 399-5 21.2 36'0 54.8 77.5 104 2 134-7 169-2 2076 2499 2962 346°4 | 400'5 21.4 36.3 55'1 77.9 104-6 135 3 169-8 208 3 250-7 297-0 347-2 401-4 21.6 36'6 55'5 78-3 1051 135-8 170-4 2089 251-4 297-8 348-1 | 402-3 21.8 36'9 55'8 78-8 1056 136.3 1710 2096 252-2 298.6 349-0 403-3 22.0 37°2 56°2 79-2 1061 1369 1716 2103 2530 299-4 349-8404-2 22.3 37:4 56:5 79'6 1066 137 4 172-2 2110 253-6 300 2 350-7 | 4051 22.5 37'7 56.9 80-0 1070 1380 172-9 2117 2544 3010 351-6 406-0 22.7 38'0 57:3 80'4 107.5 138.5 173.5 212-3 2551 301-8 352-5407-0 22.9 38'3 57.6 80-8 1080 1391 1741 2130 255.9 3026 353-3 408-0 23.1 38'6 58'0 81.3 108 5 1396 174-7 213-7 256 6 303-5 3542 4089| 23.4 38.9 58.3 81.7 1090 140 2 175.3 2144 257-4 304-3 355*1 409.9 11.9 23.6 39'2 58-7 82.1 1095 1407 175-9 2151 2581 3051 3560 410-8 29 0.5 4.3 12.1 23.8 39'5 59'0 82.5 1100 1413 176-6 2158 258-9 305'9 356 9 4117 30 0.5 4.4 12.3 24.0 39'8 59'4 83'0 110-4 1418 177-2 2164 259-6 3067 3577 412-7 31 0.5 45 12:4 24.3 40'1 59'8 83.4 110-9 1424 177-8 2171 260 4 3075 358 6 413-6 32 0.6 4.6 12.6 24.5 40'3 60.1 83.8 1114 1430 178-4 217-8 261-1 308 4 359.5 414-6 33 0.6 4.7 12.8 24.7 40'6 60'5 84.2 1119 1435 179-0 2185 261-9 309-2 3604 4155 34 0-6 4.8 12.9 25.0 40'9 60*8 84.7 112.4 1441 179-7 219-2 262-6 3100 361-3 416-5 35 07 49 13:1 25.2 41'2 61.2 85'1 112.9 1446 180-3 219-9 263-4 310-8 362-2 417.5 36 07 5.0 13.3 25.4 41'5 61.6 85.5 113.4 145.2 180-9 220'6 2641 3116 3631 418-4 37 0.7 5.1 13:4 25.7 41'8 61.9 86.0 113.9 1458 181-6 221-3 264-9 312-5 364-0 419-3 38 0-8 5.2 13.6 25.9 42'1 62.3 86'4 114.4 146-3 182.2 2220 265 7 313.3 364-8 420-3 39 0-8 5.3 13.8 26.2 42'5 62.7 86.8 1149 146-9 182.8 222-7 266-4 3141 3657 421-3 40 0-9 5-4 14.0 26.4 42'8 63'0 87.3 115 4 147-5 183.5 223-4 267-2 3150 366-6 422-2 41 0-9 5.6 14.1 26.6 43'1 63'4 87.7 115.9 1480 1841 2241 267-9 315-8 3675 423.2 42 1.0 5.7 14:3 26.9 43'4 63.8 88.1 116 4 148.6 184-7 224-8 268-7 3166 368-4 424.2 43 1.0 5.8 14.5 27.1 43'7 64°2 88'6 116-9 149-2 185-4 225.5 269-5 317-4 369-3 4251 44 1.1 5.9 14.7 27.4 44'0 64.5 89.0 117-4 149-7 186-0 226-2 270-3 318-3 370-2 426-1 45 1.1 6.0 14.8 27.6 44'3 64.9 89.5 117.9 150-3 186.6 226-9 271-0 319-1 371-1 427-0 46 1.2 6.1 15:0 27.9 44'6 65.3 89.9 1184 150-9 187-3 227-6 271-8 319.9 372.0 428-0 47 1.2 6.2 15.2 28.1 44'9 65'7 90.3 118.9 151-5 187-9 228-3 272-6 3208 372-9 429-0 48 1-3 6-4 15:4 28.3 45'2 66'0 90.8 119.5 152.0 188.5 229-0 273.3 3216 373-8 429-9 49 1.3 6.5 15.6 28.6 45'5 66'4 91.2 1200 152.6 189-2 2297 274-1 322-4 374-7 430-9 50 1.4 6.6 15.8 28.8 45'9 66'8 91.7 120.5 1532 189-8 230-4 274.9 323-3 375-6 431-9 51 1-4 6-7 15.9 29.1 46'2 67.2 92.1 121-0 153-8 190-5 231-1 275-6 324 1 376-5 432-8 52 1.5 6.8 16.1 29.4 46'5 67.6 92.6 121.5 154-4 191-1 231.8 276-4 325 0 377-4 433-8 53 1.5 7.0 16.3 29.6 46'8 68'0 93.0 122.0 154-9 191-8 232-5 277-2 325-8 378-3 434-8 54 16 71 16:5 29.9 47'1 68.3 93.5 122.5 155-5 192-4 233-2 2780 326-7 379-3 435.8 55 1.6 7.2 16.7 30.1 47.5 68.7 93.9 123 1 156.1 1931 234-0 278-8 327-5 380-2 4367 56 17 7.3 16.9 30.4 47'8 69°1 94.4 123.6 156-7 1937 2347 279.5 328 4 381-1 437-7 57 1.8 7.5 17.1 30.6 48.1 69.5 94.8 124.1 157.3 194-4 235 4 280-3 329-2 382-0 438-7 58 18 7.6 17.3 30.9 48'4 69.9 95.3 124.6 157-8 195-0 236-1 281-1 330-0 382-9 439-7 59 1.9 7.7 17.5 31.1 48.8 70.3 95.7 125 1 158-4 195-7 236-8 281-9 330-9 383-8 440-6

=

2 sin2 P
sin 1"

4m. 5m. 6m. 7m. 8m.

9m. 10m. 11m. 12m. 13m. 14m.

Table XVIII. of Mr. Baily extends to 36 minutes from the meridian.

36

38 *7412

4

6

8

30 7400 *6927

32

⚫7403 *6921
*7406 ⚫6914
*7409 *6908
•6901

2468

14

*7315 •7109
7317 •7105
⚫7319 7101
•7321 *7097
⚫7323 *7092
*7325 *7088
*7327 ⚫7083 32 *7505 ⚫6691

⚫7329 •7079 34
⚫7331 *7075
⚫7333

*7509 *6682
36 *7513 *6673
•7070 38 *7517

*6663

*7386 •6958 *7388 *6952 24 *7391 ⚫6946 26 ⚫7394 ⚫6940 28 *7397 *6934 28

TABLE XIV.

12468024C8

Log. A. Log. B.

7.7447
*7451

*7336

40
42

*7338

*7521 *6654
*7525 *6645

*7340 *7056 44 *7529 •6635
*7342 *7051 46 *7533 •6626
•7345 *7046 48 *7537 *6616
*7347 •7041 50
*7349 ⚫7036 52
*7352 *7031
⚫7354 *7026
*7357 •7021

54
56
58

H. M.
7.6823 6 0
•6815

2

•6807

*6800

⚫7482 *6743
*7486 •6734
*7490 *6726
*7494
*7497

30 *7501 *6700 30

Inter-
val.

*6717 26
⚫6708

*7541 •6606
*7545 *6597
*7549 *6587
*7553 *6577
*7557 *6567

*6792

⚫6784 10

*7729 *6127
*6776 12 *7735
•6113
*6768 14 *7740 *6098
*6759 16 *7745 *6083
⚫6751 18 *7751 •6068

20

20

*7606 ⚫6448 •7610 *6437 24 *7615 *6425 26 *7620 *6414

30
32

*7629 *6390
*7634 *6378
34 *7638 *6366
36 *7643 *6354
*7648 ⚫6342

38

4

*7713

6

*7719

8 •7724

5 0 ⚫7562 *6556 7 0

*7566 *6546

*7570

*6536

•7575 *6525
*7579 *6514
*7583 *6504
*7588 *6493
*7592 *6482
*7597 •6471
*7601 ⚫6460

7813 *5894

•7819

⚫7825

•7831

*7836

50 ⚫7842
52 •7848
54 *7854
56 ⚫7860

58

Log. A. Log. B.

40

42

7.7703
*7708

7.6198
*6184

⚫6170

6156

•6142

7773

*7756 *6053
*7762 *6038
*7767 *6023
*6007
*7779 *5991
*7784 *5975
⚫7790 •5959
*7796 ⚫5943
•7801 ⚫5927
*7807 *5910

Inter-
val.

H. M.

8 0

2

*7873

•7879 *5699
*7885 •5680
⚫7891 *5661
*7898 *5641
*7904 ⚫5622
•7910 ⚫5602
*7916 *5582
*7923 •5562
*7929 ⚫5542

•5877

•5860

*5843

*5825 •5808 ⚫5790

*5772 54 ⚫5754 56 *7867 ⚫5736 58

50

52

16 18

20

*7936 *5522
⚫7942 *5501
*7949 ⚫5480
*7955 ⚫5459

24

24 26

26

•7624 •6402 28 *7962 •5437 28

30 *7969 •5416

30

*7975 ⚫5394

32

34 *7982 ⚫5372 34
36 *7989 *5350
38

36
38

*7995 •5327

Log. A. Log. B.

___18_

20

7.8072
*8079

•8086

•8094

•8101

8108

•8116

⚫8123

•8130

⚫8138

⚫8160

⚫8168

⚫5717 9 0 *8302 •4131

•8311

⚫4093

•8319
⚫8328

⚫8336

⚫8145

*4789

*8153 *4760

•8176

⚫8183

⚫8191

⚫8199

*8206

⚫8214

⚫8222

•8230

•8238

*8246

•8254

*8262

⚫8270
*8278

*8286

*8294

7.5062 ⚫5036

•5010

*4983

*4957

⚫4930

*4902

•4874

⚫4846

*4818

•4731

•4701

•4671

*4640

•4609

•4578

•4546

*4514

⚫3977

⚫8344 ⚫3937 12 ⚫8353 ⚫3896 14 •8361 ⚫3855 16 *8370 •8378

•3813

•3771

⚫3256

40 *7415 ⚫6894 •7418 *6888

40
42

40 ⚫8475
42

*7653 *6329
•7658 *6317
*7663 *6304
•7668 6291

⚫8484 ⚫3205
•8493 ⚫3152

44

44

44 •7421 •6881
46 *7424 ⚫6874 46

*8002 ⚫5304
⚫8009 •5281
⚫8016 *5258
*8023 *5234
•8030 •5211
⚫8037

46 ⚫8502

⚫3099 ⚫3045

⚫6867 48 *7673 •6278

48

•8511

*7428
*7431
7434

*6859

•8520 •2989

50 *7678 •6265
⚫7683 •6252

52

*6852

•5186
•8044 •5162
•8051 ⚫5137

50
52
54

⚫8530 •2933

54 *7688 *6239

*8539

•2876

54 *7437 '6845 56 •7441 *6838

56 *8058 5112

56

*7693 *6225 58 *7698 *6212

⚫8548 *2817 *8558 *2758

58

•7444 ⚫6830

58

•8065 *5087 58

4 0 7.7447 7.6823 6 0 7.7703 7.6198 8 0 7.8072 7.5062 10 0 7.8567 7.2697

*4482

*4449

*4415

⚫4381

*4347

*4312

*4277

*4241

*4205

•4168

R

⚫4055

•4016

In Table XVI. of Mr. Baily, the Equation of equal Altitudes is given for the entire interval of 24 hours, but it is seldom required beyond the above limits.

LENGTH OF A SECOND OF LATITUDE AND LONGITUDE IN FEET
ON THE SURFACE OF THE EARTH, THE COMPRESSION BEING

TAKEN AS 300.

Lat.

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

One second of time, at the Equator

1521.3 feet, or 507 yards.

Puissant, calculating the compression from the measurement of the great arc in France, obtains different results on different sides of the Meridian of Paris, making it as low as

250

2 on the side of the Atlantic, and 305 to the Eastward; which latter quantity is generally assumed on the Continent.