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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 231

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 231
in eachorbit, the velocity being the same at A^ the velocity perpen-dicular to AG is destroyed by the force at the same distancefrom A G. (2) A tody is describing a circle about a force which varies asthe distance and tends to the centre ; if the centre to which theforce tends be suddenly… … Let P be the position of the body at the instant the centre offorce is transferred from C, the centre of the circle, to S, whereBCP is an equilateral triangle. PROP. X. PRORLEM V. 213 The velocity at P Is \Jii.CP= s/fjb.SP] and, since it is un-altered by the change of the centre of force, the…

Mechanics · Celestial mechanics

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