Essays on several curious and useful subjects, in speculative and mix'd mathematicks : illustrated by a variety of examples (1740)
Simpson, Thomas, 1710-1761, Adams, John, 1735-1826, former owner. BRL, John Adams Library (Boston Public Library) BRL · London : Printed by H. Woodfall, jun. for J. Nourse ... · leaf 217
rabola2j thelike of any other, PROPOSITION IIL To find the Curve which a Tarticle of Light or any movingBody will defcribe by any given Force^ continually urging itdireBly towards a given Centre, Let O be the Centre to which the Body or Particle is urged,AR the required Curve, v and n any two… … vbed : Let the Velocity at A be reprefented by Am, and thatat 1? by A r, and let the Force whereby the Body is urged to-wards the Centre O, at any Diftance O B therefrom, be de-iined by the Ordinates B D, B D of any given Curve S P D:Putting AO = a, Am=g, Ar = v, BD = Q»_01; == ^t*,Pu = ;c, vn=zZ3…
Celestial mechanics · Calculus · Astronomy
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