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), where a is
the radius of
the wheel.
Note: Cycloids are periodic
functions.
See
also
Brachistochrone, tautochrone, cardioid,
trig functions, area
using parametric equations
