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 147
ed 128 NEWTON. Hi the proposition may be replaced ~by the property that theresolved part of the space described perpendicular to the direction of the force is proportional to the times. This is immediately deducible from the second law of motion,since there is no force in the direction… … If S be the center of force, AMN perpendicular to SB, thearea ABC8 is proportional to the time of describing AC, andthe areas AMN8 and ABCS are ultimately equal when S isremoved to an infinite distance mBMS, hence the triangle ASNis proportional to the time, arid therefore the base AN, whichvaries…
Mechanics · Celestial mechanics
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