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
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