Plane and solid analytic geometry; an elementary textbook . 107. The epicycloid.—The path described by a point. Fig. 106. 204 ANALYTIC GEOMETRY [Ch. XV, § 108 on the circumference of a circle which rolls on the out-side of a fixed circle is called an epicycloid. Let the student show that the equations of the epi-cycloid are a + bs x — (a-\-b~) cos (j> — b cosy = (« + b) sin — b sin b a + b * 108. The cardioid. — An important special case of theepicycloid is the cardioid, in which a = b; but instead of

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