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 33
cos A;.-. Cc(CA + cA) = Bb (BA + bA) + 2 (BA.Cc-cA. Bb) cos A ; 14 NEWTON. /. Cc : Bl :: BA +1A - 2cA cos A: CA + cA- ZBA cos A:: BA - CA cos A : CA - BA cos A ultimately. … A Draw CN, BM perpendicular to AB, A Cf therefore the limitof the ratio Cc : Bb is BN : CM. Again, let BQ> drawn parallel to AC, meet Ic in Q,then PC.PB:: Cc:BQ. And Cc : Bb :: BN : CM ultimately, also Bb \BQ\\Al : Ac; /. Cc : BQ :: BN . AB : CM. AC ultimately. Draw AR perpendicular to BC, then…
Mechanics · Celestial mechanics
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