Plotting a Cycloid
If the animation does not appear, click
This animation shows how a point on a moving circle generates a cycloid.
(See notes below.)
The curve traced out by a point fixed to a circle as the circle rolls without
slipping along a straight line is called a cycloid. The cycloid frequently appears
in elementary calculus textbooks as an example of how to determine the parametric
equations for a curve given a geometric definition for the curve. See