Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 192
gle through which the radius CP of the rollingcircle has rotated since P left the position A. The coordinates of Pare the coordinates of C plus the projections of CP upon the X-and F-axes, respectively. Hence (Fig. 101), we have X = 0M= 0H+ NP= OCcos ^ + CP cos <^ = (a - 6)cos ^ + & cos c^,… … a — b 6 b a — b e b 176 LOCI OF HIGHER ORDER [Chap. IX. 132. Special Hypocycloids. If a = 2 &, the equations of thehypocycloid become x = 2b cos B,y = 0. Hence, in this case, the hypocycloid consists of that portion ofthe X-axis which is included within the fixed circle.If a = 4 6, the…
Geometry, Analytic
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