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)
e action of which a bodyJP revolves in a circle APTV, is to the force, underthe action of which the same body P can revolve inthe same circle in the same periodic time about anyother centre of force E, as i?P^/ST to >S6^^, SG beinga straight line drawn from the first centre >S, parallelto the… … a given time are the same; therefore, k is the samefor both centres, hence, if PPP be the chord throughP, the force to S : the force to P :: RP\PT:SP\FV; but, bv similar triangles TPV, GSP,-PT:PV::SP:jSG; therefore force to S : force to P:: RP\SP : jSP\SG : : PP^>SP : JSG\ CoE. 3. The force,…
Mechanics · Celestial mechanics
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