Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/36

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Mr. Cotes's Preface.

tices; as our Author has abundantly proved from the cleareſt reaſons. So that Men muſt be ſtrangely fond of chimera's, who can ſpend their time ſo idly, as in patching up a ridiculous figment and ſetting it off with new comments of their own.

If the bodies of the Planets and Comets are carried round the Sun in vortices; the bodies ſo carried, and the parts of the vortices next ſurrounding them, muſt be carried with the ſame velocity and the ſame direction, and have the ſame denſity, and the ſame vis inertia anſwering to the bulk of the matter. But it is certain, the Planets and Comets, when in the very ſame parts of the Heavens, are carried with various velocities and various directions. Therefore it neceſſarily follows that thoſe parts of the celeſtial fluid, which are at the ſame diſtances from the Sun, muſt revolve at the ſame time with different velocities in different directions; for one kind of velocity and direction is required for the motion of the Planets, and another for that of the Comets. But ſince this cannot be accounted for; we muſt either ſay that all the celeſtial bodies are not carried about by vortices; or elſe that their motions are derived, not from one and the ſame vortex, but from ſeveral diſtinct ones, which fill and pervade the ſpaces round about the Sun.

But if ſeveral vortices are contained in the ſame ſpace, and are ſuppoſed to penetrate each other, and to revolve with different motions; then becauſe theſe motions muſt agree with thoſe of the bodies carried about by them, which are perfectly regular. and performed in conic ſections which are ſometimes very eccentric, and ſometimes nearly circles; one may very reaſonably ask, how it comes to paſs

that theſe vortices remain entire, and have ſuffered

no