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 176
velocity be that which would be acquired in dropping from restthrough a height a vers a, prove that the tension of the string willbe equal to the weight of the particle. PROP. V. PROBLEM I. Having given the velocity with which a bod]/ is moving atany three points of a given orbit, described by it… … ju: Draw PA, QB, RC perpendicular to the tangents, and inversely proportional to the velocities of the body at thepoints P, Q, R, i. e. such that PA : QB :: veF. at Q : veF. at P,QB : RC :: veF. at R : veF. at Q. Through A, B, C draw AD, DBE, CE at right angles to PA,QB, RC meeting in D and E. Join…
Mechanics · Celestial mechanics
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