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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 166

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 166
f the force tend to the centre of tlie elliptic orbit describedhy a hody^ th^ time between the extrernities of conjugate diametersvoill he -constariL For the area PCD is constant, (8) The velocity at any point of an ellipse about a force tend-ing to a focus is compounded of two uniform velocities,… … 148 NEWTON. CH are perpendicular to the three du-ections; therefore thevelocity represented by HZ in magnitude is the resultant ofthe two represented by GZ and HC] but the velocity perpen-dicular to HZ= -QY~ 1? --^^5 therefore the velocities perpen-dicular to HC and CZ are f^ ae and ,-^ a. XVIII.…

Mechanics · Celestial mechanics

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