A View of Sir Isaac Newton's PhilosophyPemberton, Henry
Science
A View of Sir Isaac Newton's Philosophy
Pemberton, Henry
Newton, Isaac, 1642-1727. Principia
7. EACH of these planets so moves through its ellipsis, that the line
drawn from the sun to the planet, by accompanying the planet in its
motion, will describe about the sun equal spaces in equal times, after
the manner spoke of in the chapter of centripetal forces[144]. There is
also a certain relation between the greater axis’s of these ellipsis’s,
and the times, in which the planets perform their revolutions through
them. Which relation may be expressed thus. Let the period of one
planet be denoted by the letter A, the greater axis of its orbit by
D; let the period of another planet be denoted by B, and the greater
axis of this planet’s orbit by E. Then if C be taken to bear the same
proportion to B, as B bears to A; likewise if F be taken to bear the
same proportion to E, as E bears to D; and G taken to bear the same
proportion likewise to F, as E bears to D; then A shall bear the same
proportion to C, as D bears to G.
8. THE secondary planets move round their respective primary, much
in the same manner as the primary do round the sun. But the motions
of these shall be more fully explained hereafter[145]. And there is,
besides the planets, another sort of bodies, which in all probability
move round the sun; I mean the comets. The farther description of which
bodies I also leave to the place, where they are to be particularly
treated on[146].
9. FAR without this system the fixed stars are placed. These are all so
remote from us, that we seem almost incapable of contriving any means
to estimate their distance. Their number is exceeding great. Besides
two or three thousand, which we see with the naked eye, telescopes open
to our view vast numbers; and the farther improved these instruments
are, we still discover more and more. Without doubt these are luminous
globes, like our sun, and ranged through the wide extent of space; each
of which, it is to be supposed, perform the same office, as our sun,
affording light and heat to certain planets moving about them. But
these conjectures are not to be pursued in this place.
10. I SHALL therefore now proceed to the particular design of this
chapter, and shew, that there is no sensible matter lodged in the space
where the planets move.
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