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 168
z=:fz—Z^^gz- (which will anfwer either to thetranfverfe, or conjugate, Axis, according as the Value of g^is taken negative or pofitive) Now, it will be, as 11 d :i a-^z:, d ^ a — 2;, the Diftanceof the two Planes at the Ordinate D C, or the Depth of thepropofed Matter at that Ordinate j which… … A^?^= I7IB for the Fluxion of half the Force required. But whtnfz-^-^z^-^- fgzbecomes=<?, z will be = ■■ = A B = ^; therefore by writing i+^x^ inftead of y in the faid Fluxion, it will be gz I 3^^ M^l^ b ^7 2i^ - 2.4^^ <?+^2;l4 — ^^ ~ 2a ^ 2.4^^ 2.4.6^3 ^c, the Fluent whereof, when z becomes…
Celestial mechanics · Calculus · Astronomy
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