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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:  with  for an epicycloid and  where a is the radius of the base circle, b the radius of the rolling one.

 

See also cycloidal curves, and the generalisation: the centred trochoids.
 
 
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© Robert FERRÉOL 2017