Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 128
s of x. DrawPM and CL perpendic-ular to OX, PS parallelto OX, meeting CL inE, and connect 0 and C.Let the radius of the rolling circle be a. that of tin- fixed circle ?>, ami denote theangle OCP by 0, the angle KOC by cf>. Thru arc KX= /-</>, an- NP = ad; whence /«/> = ad. We now… … = (a + A) cos ^-aci >s </>• 112 PARAMETRIC R EPRES EKTATION The curve consists of a number of congruent arches, the first ofwhich corresponds to values of 6 between 0 and 2 7r, that is, to Similarly, the Mi arch corre- 2(k 1) air , 2 kair TT and —:—• Hence values of <£ between 0 and ——…
Geometry, Analytic · Calculus
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