Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/51

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Book I.
of Natural Philosophy.
7

Earth; but at equal diſtances, it is the ſame everywhere; because (taking away, or allowing for, the reſiſtance of the air), it equally accelerates all falling bodies, whether heavy or light, great or ſmall.

Definition VIII.

The motive quantity of a centripetal force is the measure of the ſame, proportional to the motion which it generates in a given time.

Thus the Weight is greater in a greater body, leſs in a leſs body; it is greater near to the Earth, and leſs at remoter diſtances. This ſort of quantity is the centripetency, or propenſion of the whole body towards the centre, or as I may ſay, its Weight; and it is ever known by the quantity of a force equal and contrary to it, that is just ſufficient to hinder the deſcent of the body.

Theſe quantities of Forces, we may for brevity's ſake, call by the names of Motive, Accelerative, and Abſolute forces; and for distinction ſake consider them, with reſpect to the Bodies that tend to the centre; to the Places of thoſe bodies; and to the Centre of force towards which they tend: that is to ſay, I refer the Motive force to the Body, as an endeavour and propenſity of the whole towards a centre, ariſing from the propenſities of the ſeveral parts taken together; the Accelerative force to the Place of the body, as a certain power or energy diffused from the centre to all places around to move the bodies that are in them; and the Absolute force to the Centre, as endued with ſome cauſe, without which thoſe motive forces would not be propagated through the ſpaces round about; whether that cauſe is ſome central body, (ſuch as is the Load-ſtone, in

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