Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 195
d make the construction. 133. The Epicycloid. The locus is the curve traced by a fixedpoint on a circle which rolls externally on the circumference of afixed circle. The parametric equations of the epicycloid are found in exactlythe same way as were the equations of the hypocycloid (Art. 131).They… … Fig. 103 134. The Cardioid. When the rolling circle is equal to thefixed circle; that is, when a = b, the equations of the epicycloid become X = 2 a cos 0— a cos 2 6,y = 2a sin 0 — a sin 2 0. To show that this curve is the cardioid (Art. 129, exercise 1),let Cbe the center of the rolling circle…
Geometry, Analytic
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