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 105
:: velocity at M : V :: t x velocity at M : tV\ and Fx time from A to M = arc AQ ;hence, time in AM——^ — — =— = x circular measure of QSA. Yylt . AS VA* 5. Space described by a body moving in a medium, inwhich the resistance varies as the velocity, when no other forceacts on the body, varies as the… … Suppose the force of resistance to be constant throughout theintervals of time AB, BG, ... and equal to the amount at thecommencement of each, and let Aa, Bb,... be the measures ofthose forces; LEMMA X. 87 /. Aa : Bb : :: Aa : BV : and the velocity destroyed is represented by the limit of the sumof…
Mechanics · Celestial mechanics
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