## epicycloidb rolling on the outside of a circle of radius a.
It is described by the parametric equations: x
= (a + b) cos (t) - b cos [(a/b
+ 1)t ],y = (a
+ b) sin (t) - b sin [(a/b + 1)t ].
An epicycloid is like a cycloid on the circumference of a circle and is closely related to the epitrochoid, hypocycloid, and hypotrochoid. An epicycloid with one cusp is called a cardioid, one with two cusps is called a nephroid, and one with five cusps is called a ranunculoid (after the buttercup genus Ranunculus). ## Related category• PLANE CURVES | ||||||

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