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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 206

An illustration from Essays on several curious and useful subjects, in speculative and mix'd mathematicks : illustrated by a variety of examples, 1740, leaf 206
itude, according tothe true fpherodicalViG\jVi^ of theEarth, Let P O S be the Axis, A O the femi-equatoreal Diame-ter, and P B A S a Meridian of the Earth; and from anyPoint B in that Meridian, perpendicular to the Tangent B Q,draw BT meeting PS in Tj and upon the Diameter P Sdefcribe the… … ^^c^ ^== .c, and the meridional Diftance anfwering to that Latitude,in Parts of the Axis P O, =^: Then by the Property of the Ellipfis, we have BCz=:d^i-^xx, CT=d^x, and BT== d^/T+Jx^; but as BT : CT : : O -j (i) : O ?i {s).; whence x <°C) = ;=, CB(VT^^-)=5@ and Br (^) L = fs i 421 -. Therefore,…

Celestial mechanics · Calculus · Astronomy

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