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 70
ectricesand S the focus of the two parabolas AP, ap, draw SpP meetingthem in p, P, and let pq, PQ be perpendicular to dq, DQ; then Sp=M, and SP=PQ;.. Sp : pq :: JSP : PQ, and ^ Spq = ^ SPQ,therefore the triangles are similar and Sq Q is a straight line, hence, Sp : SP :: Sq : SQ,:: Sd: SD,:: Sa :… … E 2 52 NEWTON. circles on the axes AB, Ab as diameters. *Draw AqQ cuttingthe circles in q, Q. Then, since the segments Aq, A Q are similar,arc Aq : arc A Q :: Aq : A Q. And, if mqp, MQP be ordinates to the cycloids, arcs Aq, A Q = qp, QP respectively;.-. qp : QP:: Aq : AQ,and ApP is a straight…
Mechanics · Celestial mechanics
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
