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 136
A C, asr—;// to 72; and let the fame be divided into as many equal Parts as there are Units in ^^-^^ , at the Points R, S, T, &c. and let c be now fuppofed = C^ j then will Qk^ Rr, ^c, thePerpendiculars falling from thofe Points on the Diameter A B,be equal to the faid required Co-efficients A,… … ( 124 ) (•.■-• + we have —— -C^x^ +Rrx^ — S.x^--^ -T/x^ + ^^^^^-^^- and therefore—^^—^—^-^— =-^ into Cy^x^ -h Rr x i—dx -\-x ex whofe Fluent, or x-- + ^■y^-~-^,l^-ll . T^^^^^ , pks the Fluent of -^ x u^X^ + ^^+T/x^^ ^^jjl gi^g the Area in the firft Cafe. 1 — dx^ Xx^^^ And this Method of Solution,…
Celestial mechanics · Calculus · Astronomy
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