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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 127

An illustration from Analytic geometry and calculus, 1917, leaf 127
axis of x, P(x, y) the point which describes the trochoid, andK the point in which the line CP meets the circle. Take asthe origin 0 the point found by rolling the circle toward theleft until A is on the axis of x. Then ON = arc NX. … Draw PM and CN perpendicular to OX, and through P a lineparallel to OX, meeting CN, or CN produced, in R. Let theradius of the circle be a, CP be h, and angle NCP be <f). Then x=OM=ON-MN = arc NK— PR = d(f) — h sin (p.y = MP = NC - RC a h cos THE EPICYCLOID 111 57. The epicycloid. When a circle…

Geometry, Analytic · Calculus

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