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)
the measure of the accelerating effect of the force tendingto C, Oa PG produced, if necessary, take PV equal to fourtimes the space through which a body must move from rest,under the action of the force at P continued constant, in orderto acquire the given velocity F; so that V = 2/x. GP. \PV.… … MA ^ In this ellipse let a body revolve under the action of aforce tending to 6, whose magnitude at P is that of the givenforce, see Arts. 160, 162, then, when it arrives at the point P,it will be moving in the direction Pt, also the square of thevelocity at P= /jl.CD^ = fj,.CP.^PV=-V% or the…
Mechanics · Celestial mechanics
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