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 267
e the tangent at P. If A QB be the circle on AB as diameter, PQM an ordi-nate perpendicular to AB the tangent at P is parallel to thechord QA. 208. To find the length of the arc of a cycloid. Let EPS be the position of the generating circle corresponding to the point P in the cycloid, let P be the… … isosceles, and if pn be drawn perpendicular to EP, PP == 2 (EP — Ep) ultimately ; therefore the cycloidal arc from thevertex decreases twice as fast as the supplemental chord, andthey vanish together, 209. To find the relation between the arc and abscissa.Let AMl>Q the abscissa of the point…
Mechanics · Celestial mechanics
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