Page:Newton's Principia (1846).djvu/486

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480
the mathematical principles
[Book III.
True time. Longitudes
observed.
Latitude
North
obs.
Longitude
computed.
Latitude
computed.
Errors in
Long.   Lat.
d.   h.   ′
Nov. 3.16.47
5.15.37
10.16.18
16.17.00
18.21.34
20.17.0
23.17.5
Dec. 12.4.46
21.6.37
24.6.18
26.5.21
29.8.3
30.8.10
Jan. 5.6.1½
9.7.7
10.6.6
13.7.9
25.7.59
30.8.22
Feb. 2.6.35
5.7.4½
25.8.41
Mar. 1.11.10
5.11.39
9.8.38
°   ′   ″
♌   29.51.0
♍   3.23.0
15.32. 0




♑   6.32.30
♒ 5. 8.12
18.49.23
28.24.13
♓   13.10.41
17.38. 0
♈   8.48.53
18.44. 4
20.40.50
25.59.48
♉   9.35. 0
13.19.51
15.13.53
16.59. 6
26.18.35
27.52.42
29.18. 0
♊   0.43.4
°   ′   ″
1.17.45
1.6. 0
0.27. 0




8.28. 0
21.42.13
25.23. 5
27. 0.52
28. 9.58
28.11.53
26.15. 7
24.11.56
23.43.32
22.17.28
17.56.30
16.42.18
16. 4. 1
15.27. 3
12.46.46
12.23.40
12. 3.16
11.45.52
°   ′   ″
♌   29.51.22
♍   3.24.32
15.33. 2
♎   8.16.45
18.52.15
28.10.36
♏   13.22.42
♑   6.31.20
♒   5. 6.14
18.47.30
28.21.42
♓   13.11.14
17.38.27
♈   8.48.51
18.43.51
20.40.23
26. 0. 8
♉   9.34.11
13.18.25
15.11.59
16.59.17
26.16.59
27.51.47
29.20.11
♊   0.42.43
°   ′   ″
1.17.32    N
1. 6. 9
0.25. 7
0.53. 7    S
1.26.54
1.53.35
2.29. 0
8.29. 6    N
21.44.42
25.23.35
27. 2. 1
28.10.38
28.11.37
26.14.57
24.12.17
23.43.25
22.16.32
17.56. 6
16.40. 5
16. 2.17
15.27. 0
12.45.22
12.22.28
12. 2.50
11.45.35
′   ″
+0.22
+1.32
+1.2




-1.10
-1.58
-1.53
-2.31
+0,33
+0.7
-0.2
-0.13
-0.27
+0.20
-0,49
-1.23
-1.54
+0.11
-1.36
-0.55
+2.11
-0.21
′   ″
-0.13
+0.9
-1.53




+1.6
+2.29
+0.30
+1.9
+0.40
-0.16
-0.10
+0.21
-0.7
-0.56
-0.24
-2.13
-1.54
-0.3
-1.24
-1.12
-0.26
-0.17

The observations of this comet from the beginning to the end agree at perfectly with the motion of the comet in the orbit just now described as the motions of the planets do with the theories from whence they are calculated; and by this agreement plainly evince that it was one and the same comet that appeared all that time, and also that the orbit of that comet is here rightly defined.

In the foregoing table we have omitted the observations of Nov. 16, 18, 20. and 23, as not sufficiently accurate, for at those times several persons had observed the comet. Nov. 17, O. S. Ponthæus and his companions, at 6h. in the morning at Rome (that is, 5h.10′ at London], by threads directed to the fixed stars, observed the comet in ♎ 8° 30′, with latitude 0° 40′ south. Their observations may be seen in a treatise which Ponthæus published concerning this comet. Cellius, who was present, and communicated his observations in a letter to Cassini saw the comet at the same hour in ♎ 8° 30′, with latitude 0° 30′ south. It was likewise seen by Galletius at the same hour at Avignon (that is, at 5h.42′ morning at London) in ♎ 8° without latitude. But by the theory the comet was at that time in ♎ 8° 16′ 45″, and its latitude was 0° 53′ 7″ south.

Nov. 18, at 6h.30′ in the morning at Rome (that is, at 5h.40′ at London), Ponthæus observed the comet in ♎ 13° 30′, with latitude 1° 20′