Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 184
s turned since P was at O. The figure then showsthat, with 0 as origin and OA as axis Ox: X = OQ = ad — a sin 0, y = a — a cos 6.These are theparameter equations of the cycloid. The curve hasan infinite number of equal arches, each with an axis of sym-metry (in Fig. 97, the line x = jra) and with a… … Fig. 98. —The Trochoids distance of P from the center O of the circle is 6, the equationsof the trochoid are x=a9— b sin 6, y = a — b cos 6.Draw the trochoid for b = ^a and for 6 = |a. 181. Epicycloid. The path described by any point P of acircle rolling on the outside of a fixed circle is called…
Geometry, Analytic
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