Identifier: mathematicalelem01grav (find matches)
Title: Mathematical elements of natural philosophy, confirm'd by experiments : or, An introduction to Sir Isaac Newton's philosophy
Year: 1747 (1740s)
Authors: Gravesande, Willem Jacob 's, 1688-1742 Desaguliers, J. T. (John Theophilus), 1683-1744, tr Adams, John, 1735-1826, former owner. BRL John Adams Library (Boston Public Library) BRL
Subjects: Physics Natural Sciences
Publisher: London : Printed for W. Innys, T. Longman and T. Shewell, C. Hitch ..., and M. Senex ...
Contributing Library: John Adams Library at the Boston Public Library
Digitizing Sponsor: Internet Archive

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- P^^ °f ^^^ Motion in the Projeilion of heavy Bodies * j and an- other in all Motions round a Point as a Center. c6o. If ^ Body, that is co7jti?iuaUy driven toivards a Ce?ifer, be pro- jected in a Line that does not go thro that Center, it will defertbe a c6i. Curve; and, in all the Points of it, it endeavours to recede fromthat Curve, according to the DireSiion of a Curvature ; that is, of aTangeTit to the Curve; fo that if the Force driving towards theCenter fhould immediately ceafe to aft, the Body would continueits Motion in a right Line along the Tangent. A Stone whirld round in a Shng defcribes a Curve, becaufe theSling does every Moment, as it were, draw it back towards theHand; but, if you let the Stone go, it will fly out in the Tan-,gent of the Curve. ^ . -D E F I N I T I o N I. ■ k6z. ^tje Force witJj which a Body, in the Cafe above-mentiond, endea- vours to fly fro?n the Center, fuch as the Force by which the Slingin motion is ftretchd, is caWd a centrifugal Force. De-
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Chap. 23- of Natural Philofophy, 129 De FINITION 2. But the Force, by ivhich a Body is drawn, or impcUd towards ^bi^.that Center, is calld a centripetal Force. Def in ition 3. Thefe Forces are by a common Name calld central Forces. 564. In all Cafes, the centrifugal and centripetal Forces are equal to 07te 565.anthoer; for they acfl in contrary Diredions, and deitroy one an-other. By the Centripetal Force a Body is retaind in a Curve, andby the Centrifugal it endeavours to recede from it. The whirld Slingis equally ftretchd both ways *, and the Stone endeavours to recede ^^i. 364-from the Hand with as much Force as it is drawn towards it. Central Forces are of great ufe in Natural Philofophy -, for all the 566.Planets move in Orbits, and moft of them, if not all, turn upontheir Axes. I fhall chufe out the chief Proooiitions relating to thefe Forces,and explain them, and confirm them by Experiments, and fhalldemonftrate them in the Scholia, annexd to this Chapter. But fome things in ge

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