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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 135

An illustration from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems, 1863, leaf 135
therefore CT=AU ultimately; hence, if BVbQ drawn parallelto AG meeting Cc in V, TV vanishes compared with C T,also, (77= cF, therefore 2 TV is the difference between CT andcT, which vanishes compared with either of them, thereforeCT=cT ultimately. 102. Scholium. Let AB, AC be two curves, having… … angles of contact be drawn from D at any point in the tangentin the same direction, and let BD <= ADn\ CD co ADn in thecarves AZ?, A C respectively. Draw dbc a common ordinate from a fixed point d. parallelto DBC. Then and ADmADn AdmAdn BDCD Id, cd, LEMMA XI. 117 and if m be greater than n, = n…

Mechanics · Celestial mechanics

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More pictures from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems

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