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 166
L E M M AT, UPPOSING AC perpendicular to A^B, anda Corpufcle at C to be attraBed towards everyPoint or Particle in the Line A B, by Forces inthe reciprocal duplicate Patio of the Hijiances : To find the Ratio of the whole compounded Force, whereby the Corpufcle is urged in the DireBion A C, A Let … [=^3 / Let kC:=.d, AB=:Ar, an<r^ Bbz=.x: Therefore B O = ^/* + x^-; confequently -jrjr^ will be as the Force of a Particle at B,in the Direftion B C j but d^-^- x^\i y\ d-\-x^ d^J^xY cacy of that Particle in the pro* dx pofed Direction A C; wherefore ^=====-4 is the Fluxion of the
Celestial mechanics · Calculus · Astronomy
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