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 213
Itnfible Alteration. P R. O P O S I T I O N 11. TJ? hwefligafe the Cur^e, which a Ray of Light, or any mo-vifjo- Body, isoill defcribe by any given Force^ continuallyurging it perpendicularly towards a given Flane. Let E G L be the given Plane, A E the required Curve,H and 1; any two Points therein… … BG ; (JiawRH B, vrkn and Qj\S parallel to EG, and putAB=:;^, BH=i, BD=;Q:^AH = ;^, Hr (=B^)=i, [ 49 ]• wr=:jf, the Area ASDB=j, the Sine of the Angle GAHto the Radius i, =/^, its Cofine = f, and the Velocity at thePoint A=^: Therefore as i : b : \ g \ bg^ the Velocity atA in the Dired:ion AQ;…
Celestial mechanics · Calculus · Astronomy
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