Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/54

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10
Mathematical Principles
Book I.

a ſpace of our Air, which relatively and in reſpect of the Earth, remains always the ſame, will at one time be one part of the abſolute ſpace into which the Air paſſes; at another time it will be another part of the ſame, and ſo, abſolutely underſtood, it will be perpetually mutable.

  III. Place is a part of ſpace which a body takes up, and, is according to the ſpace, either abſolute or relative. I ſay, a Part of Space; not the ſituation, nor the external ſurface of the body. For the places of equal Solids, are always equal; but their ſuperficies, by reaſon of their diſſimilar figures, are often unequal. Poſitions properly have no quantity, nor are they ſo much the places themſelves, as the properties of places. The motion of the whole is the ſame thing with the ſum of the motions of the parts, that is, the tranſlation of the whole, out of its place, is the ſame thing with the ſum of the tranſlations of the parts out of their places; and therefore the Place of the whole, is the ſame thing with the Sum of the places of the parts, and for that reaſon, it is internal, and in the whole body.

  IV. Abſolute motion, is the tranſlation of a body from one abſolute place into another; and Relative motion, the tranſlation from one relative place into another.

Thus in a Ship under ſail, the relative place of a body is that part of the Ship, which the Body poſſeſſes; or that part of its cavity which the body fills, and which therefore moves together with the Ship: And Relative reſt, is the continuance of the Body in the ſame part of the Ship, or of its cavity. But Real, abſolute reſt, is the continuance of the Body in the ſame part of that Immovable ſpace, in which the Ship it ſelf, its cavity, and all that it contains, is moved. Wherefore, if the Earth is really at reſt, the Body

which