**Cycloid**

The path traced by a point on a wheel as the wheel rolls, without slipping, along a flat surface. The standard parametrization is *x* = *a*(*t* – sin *t*),*y* = *a*(1 – cos *t*),*a* is the radius of the wheel.

Note: Cycloids are periodic functions.

**See also**

Brachistochrone, tautochrone, cardioid, trig functions, area using parametric equations

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