The path traced out by a fixed point at a Radius , where is the Radius of a rolling Circle,
also sometimes called an Extended Cycloid. The prolate cycloid contains loops,
and has parametric equations
(1) | |||
(2) |
(3) |
(4) |
(5) |
See also Curtate Cycloid, Cycloid
References
Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 46-50, 1991.