Epitrochoid
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History
Description
Epitrochoid is a family of cycloidal curves, a special case of Roulette. See Epicycloid and Hypocycloid for detail. Many famous curves are special cases of epitrochoid. (See: Curve Family Index).
Formula
Properties
Special Cases
h == 0, Circle.
b == h, epicycloids with q cusps, where q is the denominator of b written as a irreducible fraction.
a == b, limacon of Pascal. a == b == h, cardioid .
a/2 == b == h, nephroid .
