Page:Newton's Principia (1846).djvu/569

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the system of the world.
563

TABLE I.

The distance
of a comet's
perihelion
from the
Suns's centre.
The time of a comet's passage from its perihelion to a
distance from the sun equal to
The radii of
the orbis magnus.
To its double. To its triple. To its Quadruple.

0

5
10

20

40

80

160
320

640

1280

2560
d.   h.   ′
27 11 12

27 16 07
27 21 00

28 06 40

29 01 32

30 13 25

33 05 29
37 13 46

37 09 49
d.   h.   ′
77 16 28

77 23 14
78 06 24

78 20 13

79 23 34

82 04 56

86 10 26
93 23 38

105 01 28

106 06 35
d.   h.   ′
142 17 14




144 03 19





153 16 08




200 06 43

147 22 31
d.   h.   ′
219 17 30




221 08 54





232 12 20




297 03 46

300 06 03
[This table, here corrected, is made on the supposition that the earth's diurnal motion is just 59′, and the measure of one minute loosely 0,2909, in respect of the radius 1000. If those measures are taken true, the true numbers of the table will all come out less. But the difference, even when greatest, and to the quadruple of the earth's distance from the sun, amounts only to 16h.55′.]

The time of a comet's ingress into the sphere of the orbis magnus, or of its egress from the same, may be inferred nearly from its parallax, but with more expedition by the following

TABLE II.

The apparent
elongation of
a comet from
the sun.
Its apparent
diurnal motion in
its own orbit.
Its distance from
the earth in parts
whereof the radius
of the orbis magnus
contains 1000.

60°
65
70
72
74
76
78
80
82
84
86
88
90
Direct.
2° 18′
2 33
2 55
3 07
3 23
3 43
4 10
4 57
5 45
7 18
10 27
18 37
Infinite
Retrog.
00° 20′
00 35
00 57
01 09
01 25
01 45
02 12
02 49
03 47
05 20
08 19
16 39
Infinite

1000
845
684
618
651
484
416
347
278
209
140
70
00