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 123
: PQ:: PE QE QE SP Then PI .. PI But, PE PQPE4/SP QE ultimately; QE1 ultimately. PE-, QE ultimately, BY, since the triangles SYP, QEE are similar; therefore JPJ is a third proportional to $Fand SP. 81. The chord of curvature at any point of an ellipse drawnthrough the center of the ellipse, is a… … LEMMA XI. 105 to CP, QM an ordinate parallel to DC, PV the chord of curvature drawn through C. Then, PV. QR = PQ* = QMZ, ultimately, and QM* : PM.MG :: CD2 : OP2; /. PV. QR : QR.MG :: CD* : CP*, ultimately. .. PV : 2CP :: CD2 : CP2, ultimately: .. PV. CP : CP* :: 2 CD* : CP2, and PV.CP=2CD*-,or 2CP…
Mechanics · Celestial mechanics
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