Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 196
0 and QOCPis a parallelogram. Therefore, QP = OC = 2 a, and the point Pcan be located by laying off the distance 2 a from Q along thechord of the fixed circle through A. This agrees with the defini-tion of the limaQon for which b= 2 a. Hence, the sjjecial epicy-cloid for ivhich the rolling circle… … Fig.104 The tangent to the carclioid at P passes throngh T, and thenormal through F. Hence, the circle whose center is F andwhose radius is FP touches the cardioid at P. But this circlepasses through A, since FP=:FA. Therefore, all the circles hav-ing their centers on the fixed circle and passing…
Geometry, Analytic
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