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 172
rpendicular, and r L parallelto P Sj and let the Square of any Ordinate B C of the ge-nerating Ellipfis, be to the Square of the correfponding Or-dinate B V of the Circle Fvl Sy P, defcribed from the fameCentre O, about the Axis P S, in any given Ratio of i -f- B : to [7] : to I; let QJI be the… … Sine of the Angle R QJI to the Radius i, =:f, its Qo-fine =(7, (Xrr=zx^ its correfponding Ordinate ra-=^y; Q^ (.^VT^TR^trF) = a, and R T (=: T-f B v.b)~K%Therefore fince QJ^ is=^x, andr L=/x, we have 0^^=b-\-px, and Erzz=:qx — a-^ whence B C-=zR^—z> b—z bp x —p^ x^y.T -f B = ^^ — 2 Ap X — p^ x^…
Celestial mechanics · Calculus · Astronomy
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