A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 191
y wiite -2 / X\-i -^ dz = r{r~ — Q(fi) da; = ( 1 ;^ ) dec = r(l — x^-) dx^, putting - = Xi for convenience. Expanding by Maclaurins or the Binomial the-orem, and integrating each term separately, we have Restoring x this becomes ofi 3^5 1 -3 . 5.r7 2 • 3r^ ^ ii . 4 . 5ri ^ 2 • 4 • 6 • Tr-To… … Fig. 174. Bepresenting the sum of the series in the parenthesisl>y i^, we have z = a quadrant = irit, and the whole cir-cumference = 27rr. Letting D be the diameter, this be-comes Dit, whence it appears that it, the sum of the seriesabove, is the ratio of the circumference of a circle to…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
