for an epicycloid and 
for a hypocycloid (
).
Pedal equation: 
with 
for an epicycloid and 
where a is the radius of the base circle, b the radius of the rolling one.
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CYCLOÏDE À CENTRE
The notion of centred cycloid allows to regroup epi- and hypocycloids.
| Complex parametrization: for an epicycloid and for a hypocycloid ().
Pedal equation:
|
See also cycloidal curves, and the generalisation: the centred trochoids.
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© Robert FERRÉOL
2017