The path traced out by a fixed point at a Radius , where is the Radius of a rolling Circle,
sometimes also called a Contracted Cycloid.

(1) | |||

(2) |

The Arc Length from is

(3) |

(4) |

(5) |

**References**

Cundy, H. and Rollett, A. *Mathematical Models, 3rd ed.* Stradbroke, England: Tarquin Pub., 1989.

Wagon, S. *Mathematica in Action.* New York: W. H. Freeman, pp. 46-50, 1991.

© 1996-9

1999-05-25