Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 271
O — b sin 0, y = a — b cos 0. Draw the trochoid for b = 1 a and for 6 = | a. 273. Epicycloid. The path described by any point P of acircle rolling on the outside of a fixed circle is called au epicy-cloid (Fig. 114). Let 0 be the center, b theradius, of the fixed circle, C thecenter, a the radius,… … Fig. 114 XII, §274] SPECIAL CURVES 259 With 0 as origin and OA^^ as axis of x we liave X = {a + b) cos cf) + a sin [^ — (Jr - — 0)],1/ = (a + b) sin c^ — a cos [^ — (^ tt — <;/>;], ^.e. .r = (a + o) cos ^ — a cos —^— (^. x^^ a ^^ r _. ?/ = (a + 6) sm ^ — a sm —■— <^. a 274. Hypocycloid. If…
Geometry, Analytic
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