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Special Cases
the following curves are special cases of the epitrochoid
Epicycloid
occurs when b=c
(a=5, b=c=3)
Circle
occurs when c=0
(a=5, b=3, c=0)
Limacon of Pascal
occurs when a=b
(a=b=3, c=5)
Cardioid
occurs when a=b=c
(a=b=c=3)
Nephroid
occurs when a/2=b=c
(a=6, b=c=3)
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