Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)
bed could be shewn to be r-^i-|.2^^+...+ (M-l)-^^ pf^ LEMMA X. 77 whence, proceeding to the limit, the space described in the time t=- J. pt {m + 1) {m + 2) (3) To find the velocity acquired from rest^ wJien a body isacted on by an attractive force whose accelerating effect variesas the distance… … pendicular to 8A^ meet SB in P; then, since FM\ BA :: 8M\ 8A^PM represents the accelerating effect of the force at M^ and thesquare of the velocity acquired at M is represented. Art. 57, bytwice the area BAMP or 8A.AB- SM.MP. With centre 8 and radius 8A describe a circle AQB, andlet MPQ^ NR be…
Mechanics · Celestial mechanics
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