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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 51

An illustration from Essays on several curious and useful subjects, in speculative and mix'd mathematicks : illustrated by a variety of examples, 1740, leaf 51
as anyPower of the Difiance, LET ArP/^bethepropofed Orbit,A and P two Places ofthe higher and lowerApfides, A^E^A, andnVbn, Circles defcribedwith the Radii A C,C P about C, the Cen-tre of Force j let r bea Point in the Trajec-tory taken at Pleafure;and let the Velocity ofthe Body at the higher Apfe… … PC, and y for i, in C._^_^,^__p.,.,^_ ^JT^+athe general Value of A, as found by the laft Prob. the fame it v/i—^X) is manifeft, will become — if , 2 12 I 2X1—v^^3 for the Value of A in this particular Cafe 5 which by redu-cing ( 39 ) cing 733;^ and i—y«+3 j^^o fj^ple Terms, IS /^…

Celestial mechanics · Calculus · Astronomy

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