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 210
to another, when a body moves along astraight line with a velocity which varies inversely as the distancefrom a fixed point in that line. PROP. X. PROBLEM V. If a body is revolving in an ellipse, to find the law of centripetal force tending to the center of the ellipse. Let CA, CB be the semiaxes… … Then F = ~.^z ultimately.But, by similar triangles QTU, PFC, 1 err >U.UGQT3 PF2.CD* AC\BC* PU.PU~ CP* Of* UG = 2CP ultimately, and PU= QR; = limit of -TS = —g^a— ultimately ;. QR h\ CP CP*.Q2* AC\BC 192 NEWTON. therefore the force is proportional to the distance from thecenter. Aliter. If CY be…
Mechanics · Celestial mechanics
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