Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 271
was at 0. The figure then showsthat, wdth 0 as origin and OA as axis Ox: X = OQ = aO — a sin 6, y = a — a cos 0. These are the parameter equations of the cycloid. The curve has 258 PLANE ANALYTIC GEOIMETRY [XII, § 272 an infinite number of equal arches, each with an axis of sym-metry (in Fig. 112,… … Fig. 113.-The Trochoids distance of P from the center C of the circle is b, the equationsof the trochoid are X = aO — b sin 0, y = a — b cos 0. Draw the trochoid for b = 1 a and for 6 = | a. 273. Epicycloid. The path described by any point P of acircle rolling on the outside of a fixed circle is…
Geometry, Analytic
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