Definition:Cycloid

Curve
Consider a circle rolling without slipping along a straight line.

Consider a point $P$ on the circumference of this circle.

The curve traced out by $P$ is called a cycloid.

Also known as
The cycloid is sometimes seen referred to as a common cycloid, so as to distinguish it from:
 * the prolate trochoid, also known as the extended cycloid
 * the curtate trochoid, also known as the contracted cycloid.

Also see

 * Equation of Cycloid
 * Length of Arc of Cycloid
 * Area under Arc of Cycloid


 * Definition:Trochoid, of which a cycloid is a special case