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Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)

Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · London, Macmillan · leaf 170

An illustration from Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods, 1900, leaf 170
nal to the times ofdescribing them about a point either fixed or movinguniformly in a straight line, by ra Hi dragon to thatpoint, is acted on by a centripetal force tending to thesame point. Case 1. Let the time be divided into equal intervals,and in the first interval let the body describe ABwith… … when the body arrives at B, let a force, acting uponit by a single impulse, cause the body to describe^C in the second interval of time, so that the tri-angle BSC is equal to the triangle ASB, and there-fore also to the triangle BSc; therefore BSC andBSc are between the same parallels^ hence BS is…

Mechanics · Celestial mechanics

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