Location of the point | Circle rolls on a straight line | Circle rolls outside a fixed circle | Circle rolls inside a fixed circle |

On the circumference | Cycloid | Epicycloid | Hypocycloid |

Inside the circumference | Curtate Cycloid | Curtate Epicycloid | Curtate Hypocycloid |

Outside the circumference | Prolate Cycloid | Prolate Epicycloid | Prolate Hypocycloid |