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Analytic geometry (1914)
Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 193
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… … x = a cos^ 6, y = a sin^ 6, fro m which cos 6 = ($!■ sin 6 = ©* Squaring, adding, andclearing of fractions. we have Fig. 102 .1-3 + 2/ = a3. The tracing point onthe rolling circle re-verses its direction ofmotion at each of the positions in which it is in contact with thefixed circle. These points…Geometry, Analytic
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