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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 138

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 138
ourth proportional to Ap, AP, and Ah, thenAB will be the diameter of the generating circle of the requiredcycloid; for, since Ap : AP.: Ah : AB, and all cycloids aresimilar, P is a point in the cycloid whose axis is AB. THE CYCLOID. 119 109. A particle slides down the smooth arc of a cycloid^whose… … its path, LR^ P3I, QN perpendicular to AB] and take Al^ Ap^Aq on the tangent at A respectively equal to AL^ AP, A Q. Suppose a point to move from Z to ^ in the same time asthe particle moves on the cycloid from Z to -4, their velocitiesbeing always equal at equal distances from A. Let V be the…

Mechanics · Celestial mechanics

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