Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 129
- = *1, where — is a rational fraction in its lowest terms, the smallest value of k — q. The curve then con-sists of q arches and winds p times around the fixed circle. 58. The hypocycloid. When a circle rolls upon the inside ofa fixed circle, each point of the rolling circle describes a… … The proof is left to the student.The curve is shown in fig. 97. In the special case in whichthe radius of the rolling circleis one fourth that of the fixedcircle, we have b = 4 a. Then FlG- 97 x = a (3.cos (f> + cos 3 $) = 4 a cos3<£ = b cos3<£,y — a (3 sin c/> — sin 3 (/>) = 4 a…
Geometry, Analytic · Calculus
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