Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 298
FlG. 130. 169. Parametric equations. Some curves are conveniently-represented in Cartesian coordinates, but with a third number— the parameter—as the independent variable. Thus, theparametric equations of the ellipse are x=a cos <^, y = b sin <j>, where <f> is the eccentric angle… … 2ir X Fig. 131.x = a(<t> — sin ^), i/ = a(l — cos ^). 282 CURVE TRACING. HIGHER PLANE CURVES [Ch. XIV The equations for the simple hypocycloid — the astroid — arex=acos <l>, y = a sin<^;and the equations for the epicycloid, of two arches, X = -— cos <^ — - cos 3 <^;y = -^ Sin…
Geometry, Analytic
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