Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/31

Rh as alo from that very low motion of the apides, above taken notice of, and which aries from a like caue.

We have now proceeded o far as to hew that it mut be acknowledged, that the Sun, and the Earth, and all the heavenly bodies attending the Sun, attract each other mutually. Therefore all the leat particles of matter in every one mut have their everal attractive forces, whoe effect is as their quantity of matter; as was hewn above of the terretrial particles. At different ditances thee forces will be alo in the duplicate ratio of the ditances reciprocally; for it is mathematically demontrated that particles attracting according to this law will compoe globes attracting according to the ame law.

The foregoing concluions are grounded on this axiom, which is received by all philoophers; namely that effects of the ame kind; that is, whoe known properties are the ame, take their rie from the ame caues and have the ame unknown properties alo. For who doubts, if gravity be the caue of the decent of a tone in Europe, but that it is alo the caue of the ame decent in America? If there is a mutual gravitation between a tone and the Earth in Europe, who will deny the ame to be mutual in America? If in Europe, the attractive force of a tone and the Earth is compounded of the attractive forces of the parts; who will deny the like compoition in America? If in Europe, the attraction of the Earth be propagated to all kinds of bodies and to all ditances; why may it not as well be propagated in like manner in America? All philoophy is founded on this rule; for if that be taken away we can affirm nothing Rh