Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 184
the outside of a fixed circle is called an epicy-cloid (Fig. 99). Let 0 be the center, b theradius, of the fixed circle, C thecenter, a the radius, of the rollingcircle; and let Ao be that pointof the fixed circle at which thedescribing point P is the pointof contact. Yut AgOA = <l>, ACP= 0.… … I.e. x=(a+b) cos <l> — a cos —-— <^, y= (a + by sin (^ — a sin a a + ba 174 PLANE ANALYTIC GEOMETRY [IX, § 182 182. Hypocycloid. If the circle rolls on the inside of thefixed circle, the path of any point of the rolling circle is calleda hypocycloid. The equations are obtained in the same…
Geometry, Analytic
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