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 87
with SM+ SB] therefore MR vanishes compared withQM or PJ/; /. SU : SP :: QM : PR, ultimately;/. ST : SP is the limiting ratio of QR: PR-, or QB : SQ ~ SP. Hence ST, and also the trigonometrical tangent of the angleSP T between the tangent and the radius vector can be found. 44. To find the… … Making the same construction as before, Art. (43), BT : SP :: QR : SQ~ SP ultimately.Let SQ meet the circle in q, and draw the ordinate qn,then, SP—SQ = mn-, and QR : pq :: 8Q : Sq :: 8P : Sp ultimately ;also pq : mn :: Sp : pm ultimately ;.-. QR : SP-SQ :: SP : pm ultimately;.-. 8T : SP :: Bm : pm…
Mechanics · Celestial mechanics
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