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 330
he Circle PBS, in theRatio of /> to I J let R be any Point in the Trajedory 3 andmake C^ perpendicular to Vq-, putting ^P=i, C^=j, CR=^x, and PBSirrrA. Then, if the centripetal Force be fup-pofed as any Power {ri) of the Diftance we fhall have A = and the Velocity of the Body spx y.… … mifed, let x </P^-\—r- x x^—p^s^— —-r— he now taken =0,and v// + 4^ >^ J^i — 4^ = > ^^ ^^^ ^^^ Equations «-{-i being duly ordered, we fhall have x = ^++ ^^P\ and/*^ _»+3 ^£jh^x^|«+ ( = /*^). Wherefore, with this Value of a:, as a Radius, conceive the Circle A/6H to be defcnbed,and let the…
Celestial mechanics · Calculus · Astronomy
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