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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 193

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 193
y orhifwhatever, in a non-resisting medium, and if at the ex-tremity of a very small arc, commencing from any pointin the orbit, a subtense of the angle of contact at that pointhe drawn parallel to the radius from that point to thecentre of force, then the force at that point tending to thecentre… … angle of contact at P, parallel to PS. T the time ofdescribing PQ. F the accelerating effect of theforce at P.Then, when the body leaves P, it would, if not acted onby the central force, move in the direction PR, and ifthe force F continued constant in magnitude anddirection throughout the time T,…

Mechanics · Celestial mechanics

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