Inside Out Library

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 182

An illustration from 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, leaf 182
pat- ^i^- 162. terns ACOD, and BCOE, the edges CO and CO being the evolute.Then fastening at O, one end of a string whose length is AGO, the freeend will describe the semi-ellipse as it is moved from A to B. Upon thisprinciple attempts have been made to make a pendulum vibrate in the arcof a… … ^» » SECTION YIIL Envelopes to Plane Curves. 230. Def.—An JEnvelope is the locus of the intersection ofconsecutive lines, or curves, represented by a given equation, whenone or more of its parameters are made variable. III.—Let {x — w)2 -j- j/^ — r2 — 0 be the equation of the locus whose envelope…

Geometry, Analytic · Calculus

Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.

More pictures from 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

More like this