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 89
ube is meant finding the edge of a cubewhich shall have twice the volume of a cube whose edge is given. To efiTect thisby means of this curve, lot AM bo any cissoid, AB thediam(!ter of the circle which pertains to it, and O the centreof that ciicle. Take C0=20B, and draw CB. Letfall from the jDoint… … PK = - — = 1: or iPK KB IPK = 2AK . Finally, let a be the edge of any given cube ; fmd r/, so that a:ai :: AK : PK, whence a^ : c/i^ : AK^: PK\ But A OKFig. 01. PK =2AK. ai3 = 2a3. 60 THE CAETESIAN METHOD OF CO-OKDINATES. Bj taking CO =30B aud proceeding in a similar manner, we can tri-plicate the…
Geometry, Analytic · Calculus
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