Prolate Cycloid
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) |
The Arc Length from
is | (3) |
 | (4) |
 | (5) |
References
Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 46-50, 1991.
- Cosh
- Cosine
- Cosine Apodization Function
- Cosine Circle
- Cosine Integral
- Cosines Law
- Cosmic Figure
- Cosmological Theorem
- Costa-Hoffman-Meeks Minimal Surface
- Costa Minimal Surface
- Cosymmedian Triangles
- Cotangent
- Cotangent Bundle
- Cotes Circle Property
- Cotes Number
- Cotes' Spiral
- Coth
- Coulomb Wave Function
- Count
- Countable Additivity Probability Axiom
- Countable Set
- Countable Space
- Countably Infinite Set
- Counting Generalized Principle
- Counting Number