Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 228
orce tending to S :: CP. SP* : PE3 (Prop. vn. Cor. 3) ; PE* 1.*. force tending to S since PE is constant. PROP. XII. PROBLEM VII. If a body is revolving in a hyperbola, to find the law offorce tending to a focus of the figure. The investigation is exactly the same as in the last proposition,… … In the same manner as in these propositions, it can be shewnthat the repulsive force tending from a focus, under theaction of which the body describes the opposite branchof the hyperbola, varies inversely as the square of thedistance. PROP. XIII. PROBLEM VIII. If a body is moving in a parabola, to…
Mechanics · Celestial mechanics
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