and longitude by account; 2° 15' west, the watch not regulated, the following observations were taken,

the eye being 18 feet above the level of the sea:

On the 15th of May 1796, in longitude 1° 30′ E. by account, the watch being well regulated, the following observations were taken :

Required the true longitude, the eye being 21 feet above the level of the sea.

's

Ans. Moon's true semidiameter 15' 31", horizontal parallax 56′ 35′′, apparent alt. D's centre 18° 56′ 45′′, correction's altitude 50′ 46′′, apparent altitude centre 20° 10′ 56", correction *'s altitude 2' 35", apparent distance of their centres 31° 17′ 53′′, true distance 31° 11' 43", true longitude 15' west.

TABLE I.

Of the Sun's Right Ascension and Declination for 1808.

Days.

H. M. S. D. M. S. H. M. s. D. M. S. H. M. S. D. M. S.

20.56. 2 | 17.20.12
21. 0. 7 17. 3.12

118.43.28 23. 5. 8
2 18.47.53 23. 0.18
3 18.52.18 22.55. 121. 4.11
4 18.56.42 22.49.17 21. 8.14
5 19. 1. 6 22.43. 6 21.12.16

22.49. 87.31.28 22.52.52 7. 8.37 16.45.55 22.56.36 6.45.39 16.28.20 23. 0.19 6.22.36 16.10.28 23. 4. 2 5.59.28

6 19. 5.30 22.36.27 21.16.17 15.52.20 23. 7.44 5.36.15 7.19. 9.53 22.29.22 21.20.18 15.33.56 23.11.26 5.12.57 8 19.14.16 22.21.50 21.24.18 15.15.15 23.15. 74.49.37 9 19.18.38 22.13.51 21.28.16 14.56.19 23.18.49 4.26.12 10 19.22.59 22. 5.27 21.32.15 14.37. 8 23.22.29 4. 2.44

TABLE I.

Of the Sun's Right Ascension and Declination for 1808.

Days.

H.M. S. D. M. S. H. M. S. D. M. S. H.M. S. D. M. S.

10.42.39 4.35.26 2.33.52 15. 6.29 4.36.34 22. 4.33 20.46.17 4.58.31 2.37.41 15.24.29 4.40.39 22.12.30 30.49.55 5.21.30 2.41.31 15.42.14 4.44.45 22.20. 4 40.53.34 5.44.24 2.45.21 15.59.43 4.48.52 22.27.14 50.57.13 6. 7.12 2.49.11 16.16.56 4.52.58 22.34. 1

61. 0.51

6.29.53 2.53. 3 16.33.53 4.57. 5 22.40.24 71. 4.30 6.52.27 2.56.55 16.50.33 5. 1.13 22.46.23 81. 8.10 7.14.54 3. 0.47 17. 6.56 5. 5.20 22.51.59 91.11.49 7.37.14 3. 4.40 17.23. 3 5. 9.28 22.57.10 101.15.29 7.59.26 3. 8.33 17.38.52 5.13.36 23. 1.58

111.19. 9 8.21.30 3.12.28 17.54.23 5.17.45 23. 6.21 121.22.49 8.43.26 3.16.22 18. 9.37 5.21.53 23.10.19 131.26.30 9. 5.13 3.20.18 18.24.32 5.26. 2 23.13.54 141.30.11 9.26.51 3.24.13 18.39. 9 5.30.11 23.17. 3 151.33.52 9.48.20 3.28.10 18.53.27 5.34.20 23.19.49

161.37.34 10. 9.39 3.32. 7 19. 7.26 5.38.29 23.22. 9 171.41.16 10.30.49 3.36. 5 19.21. 6 5.42.39 23.24. 5 181.44.58 10.51.48 3.40. 3 19.34.26 5.46.48 23.25.36 191.48.41 11.12.36 3.44. 2 19.47.27 5.50.58 23.26.42 201.52.24 11.33.14 3.48. 120. 0. 7 5.55. 8 23.27.24

211.56. 8 11.53.41 3.52. 1 20.12.27 5.59.17 23.27.41 221.59.52 12.13.56 3.56. 120.24.27 6. 3.27 23.27.32 232. 3.37 12.33.58 4. 0. 2 20.36. 5 6. 7.36 23.26.59 242. 7.22 12.53.49 4. 4. 4 20.47.23 6.11.46 23.26. 2 252.11. 8 13.13.27 4. 8. 6 20.58.19 6.15.55 23.24.39

262.14.54 13.32.52 4.12. 9 21. 8.53 6.20. 5 23.22.52 272.18.40 13.52. 3 4.16.12 21.19. 6 6.24.14 23.20.40 282.22.27 14.11. 14.20.15 21.28.56 6.28.23 23.18. 3 292.26.15 14.29.46 4.24.19 21.38.24 6.32.32 23.15. 2 302.30. 3 14.48.15 4.28.24 21.47.30 6.36.40 23.11.37 311 4.32.29 21.56.13

TABLE I.

Of the Sun's Right Ascension and Declination for 1808.

218. 2.16 20.29.27 10. 1.23 12. 7.11 11.53.42 0.40.59 228. 6.15 20.17.40 | 10. 5. 5|11.47. 4|11.57.18 0.17.35

South. 238.10.14 20. 5.33 10. 8.46 | 11.26.46 12. 0.54 0. 5.51 248.14.12 19.53. 6 10.12.27 11. 6.17 12. 4.30 0.29.17 258.18.10 19.40.19 10.16. 8 10.45.37 12. 8. 6 0.52.43}

10. 3.47

268.22. 7 19.27.12 10.19.48 10.24.47
278.26. 4 19.13.46 10.23.28
288.29.59 19. 0. 1 10.27. 7
298.33.55 18.45.57 10.30.46
30 8.37.49 18.31.35 10.34.24
318.41.43 18.16.54 10.38. 3

T

12.11.42 1.16. 9 12.15.19 1.39.34

9.42.38 12.18.55 2. 2.59 9.21.20 12.22.32 2.26.23 8.59.52 12.26. 92.49.45 8.38.17

TABLE I.

Of the Sun's Right Ascension and Declination for 1808.

Days.

1 12.29.47 212.33.24 312.37. 2 4 12.40.40

H. M. S. D. M. S. H. M. S. D. M. S. H. M. S. D. M. S. 3.13. 6 14.26. 5 14.28.54 16.29.58 21.50.53 3.36.24 14.30. 114.48. | 16.34.18|21.59.57 3.59.39 14.33.57 15. 6.54 16.38.38 22. 8.36 4.22.52 14.37.54 15.25.32 | 16.42.59 | 22.16.49 4.46. 2 14.41.53 15.43.54 16.47.20 22.24.36

5 12.44.19

6 12.47.58 7 12.51.37 8 12.55.17

9 12.58.57

10 13. 2.38

5. 9. 8 14.45.52 16. 2. 1 16.51.42 22.31.56 5.32.10 14.49.51 | 16.19.52 | 16.56. 5 22.38.51 5.55.9 14.53.52 16.37.26 17. 0.28 22.45.18 6.18. 2 14.57.54 16.54.43 17. 4.51 22.51.19 6.40.51 15. 1.56 17.11.44 17. 9.15 22.56.53

15. 5.59

17.28.27

17.13.40 23. 2. O

17.44.51

17.18. 4 23. 6.39 17.22.30 23.10.51

11 13. 6.197. 3.35 12 13.10. 1 7.26.12 15.10. 4 7.48.44 15.14. 9 18. 0.58 8.11.10 15.18.14 18:16.45 17.26.55 23.14.35 8.33.29 15.22.21 18.32.13 17.31.21|23.17.51

13 13.13.43

14 13.17.26

15 13.21. 9

16 13.24.53

17 13.28.38

18 13.32.23

8.55.40 15.26.29 18.47.22 17.35.47 23.20.39 9.17.44 15.30.37 19. 2.11 17.40.13 23.22.59 9.39.40 15.34.47 19.16.39 17.44.39 23.24.51 19 13.36. 8 10. 1.28 15.38.57 19.30.46 17.49. 6 23.26.14 20 13.39.55 10.23. 7 15.43. 8

19.44.32 | 17.53.33 | 23.27.10

21 13.43.42 10.44.36 15.47.20 19.57.56 17.57.59 23.27.36 22 13.47.29 11. 5.56 15.51.32 20.10.59 18. 2.26 23.27.35 23 13.51.18 11.27. 6 15.55.46 20.23.39 18. 6.53 23.27. 5 24 13.55. 7 11.48. 6 16. o. 0 20.35.56 18.11.20 23.26. 7 12. 8.54| 16. 4.14 20.47.50 18.15.46 | 23.24.41

25 13.58.56

26 14. 2.47 12.29.31 16. 8.30 20.59.21 18.20.13 23.22.46 27 14. 6.38 12.49.57 | 16.12.46 21.10.28 18.24.39 23.20.24 28 14.10.30 13.10.10 16.17. 3 21.21.11 18.29. 5 23.17.33 29 14.14.23 13.30.11 16.21.21 21.31.30 18.33.31 23.14.14 30 14.18.16 13.49.59 16.25.3921.41.24 18.37.57 23.10.27 31 14.22.10 14. 9.34| 18.42.22 23; 6.12