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 278
X AC; which is therefore to EL* x/» x AC, the Content of the circumfcribingCyhnder, as EL*-f-4FK^-f-GH* to 6EL^ This Propor-tion, if AC be fuppofed = DC, and the whole SolidEGDHLE be taken, will become as ELS-4GH to 6EL^where 4GH^ is equal to EL% 2EL% or 3EL% accordingas the Solid is a Cone,… … Ff LEM- [ iH ] LEMMA. If hi any Series of ^antiiies a, b, c, d, e, &c. there he taketiA=b—a, B=c—2b+a, D=d—3c-h3b—a, E=e—4d-j^dc—4b-i-a, F=f—5e+iod—ioc4-5b—a, ^c.fothatthe Vncice of the Values 0/ A, B, C, D, &c. may be thofe ofa Binomial raifed to the i/?, 2^, 3^, 4/^, ^c. Towers-, Ifay^…
Celestial mechanics · Calculus · Astronomy
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