Page:Newton's Principia (1846).djvu/503

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Book III.]
of natural philosophy.
497

16° 01′ 45″; the comet to have been in its perihelion November 24d.11h.52′ P.M. equal time at London, or 13h.8′ at Dantzick, O. S.; and that the latus rectum of the parabola was 410286 such parts as the sun's mean distance from the earth is supposed to contain 100000. And how nearly the places of the comet computed in this orbit agree with the observations, will appear from the annexed table, calculated by Dr. Halley.

Appar. Time
at Dantzick.
The observed Distances of the Comet from The observed Places. The Places
computed in
the Orb.
December 00.°00.00 00.°00.00 00.°00.00
00.d.00.h.00 The Lion's heart 46.24.20 Long. ♎  7.01.00  7. 1.29
 3.18.29½ The Virgin's spike 22.52.10 Lat. S. 21.39. 0 21.38.50
 4.18. 1½ The Lion's heart 46. 2.45 Long. ♎  6.15. 0  6.16. 5
The Virgin's spike 23.52.40 Lat. S. 22.24. 0 22.24. 0
 7.17.48 The Lion's heart 44.48. 0 Long. ♎  3. 6. 0  3. 7.33
The Virgin's spike 27.56.40 Lat. S. 25.22. 0 25.21.40
17.14.43 The Lion's heart 53.15.15 Long. ♌  2.56. 0  2.56. 0
Orion's right shoulder 45.43.30 Lat. S. 49.25. 0 49.25. 0
19. 9.25 Procyon 35.13.50 Long. ♊ 28.40.30 28.43. 0
Bright star of Whale's jaw 52.56. 0 Lat. S. 45.48. 0 45.46. 0
20. 9.53½ Procyon 40.49. 0 Long. ♊ 13.03. 0 13. 5. 0
Bright star of Whale's jaw 40.04. 0 Lat. S. 39.54. 0 39.53. 0
21. 9. 9½ Orion's right shoulder 26.21.25 Long. ♊  2.16. 0  2.18.30
Bright star of Whale's jaw 29.28. 0 Lat. S. 33.41. 0 33.39.40
22. 9. 0 Orion's right shoulder 29.47. 0 Long. ♉ 24.24. 0 24.27. 0
Bright star of Whale's jaw 20.29.30 Lat. S. 27.45. 0 27.46. 0
26. 7.58 The bright star of Aries 23.20. 0 Long. ♉  9. 0. 0  9. 2.28
Aldebaran 26.44. 0 Lat. S. 12.36. 0 12.34.13
27. 6.45 The bright star of Aries 20.45. 0 Long. ♉  7. 5.40  7. 8.45
Aldebaran 28.10. 0 Lat. S. 10.23. 0 10.23.13
28. 7.39 The bright star of Aries 18.29. 0 Long. ♉  5.24.45  5.27.52
Palilicium 29.37. 0 Lat. S.  8.22.50  8.23.37
31. 6.45 Andromeda's girdle 30.48.10 Long. ♉  2. 7.40  2. 8.20
Palilicium 32.53.30 Lat. S.  4.13. 0  4.16.25
Jan. 1665 Andromeda's girdle 25.11. 0 Long. ♈ 28.24.47 28.24. 0
 7. 7.37½ Palilicium 37.12.25 Lat. N.  0.54. 0  0.53. 0
13. 7. 0 Andromeda's head 28. 7.10 Long. ♈ 27. 6.54 27. 6.39
Palilicium 38.55.20 Lat. N.  3. 6.50  3. 7.40
24. 7.29 Andromeda's girdle 20.32.15 Long. ♈ 26.29.15 26.28.50
Palilicium 40. 5. 0 Lat. N.  5.25.50  5.26. 0
Feb. Long. ♈ 27. 4.46 27.24.55
 7. 8.37 Lat. N.  7. 3.29  7. 3.15
22. 8.46 Long. ♈ 28.29.46 28.29.58
Lat. N.  8.12.36  8.10.25
March Long. ♈ 29.18.15 29.18.20
 1. 8.16 Lat. N.  8.36.26  8.36.12
 7. 8.37 Long. ♉  0. 2.48  0. 2.42
Lat. N.  8.56.30  8.56.56

In February, the beginning of the year 1665, the first star of Aries, which I shall hereafter call γ, was in ♈ 28° 30′ 15″, with 7° 8′ 58″ north