David Little
Mathematics Department
Penn State University
Eberly College of Science
University Park, PA 16802
Office: 403 McAllister
Phone: (814) 865-3329
Fax: (814) 865-3735

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The Applet below draws three different trochoids. The parametric equations for the three curves are given as follows:
x(θ) = Rθ - Dsin(θ)
y(θ) = R - Dcos(θ)
where R=radius of circle and D=distance of point from the center of the circle.

The blue curve is a trochoid with D>R, the green curve is a trochoid with D=R (in this case the curve is called a cycloid) and the red curve is a trochoid with D<R.

© 2004 David P. Little
Download this applet for off-line viewing (includes source code)