Rolling Circles

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A small circle is rolled inside or outside a larger circle; you can vary the ratios of their radii. As the small circle rolls around the bigger one, it leaves the trajectory of a point (shown as a small sphere) and one of its diameters. The trajectories of the spheres represent specific mathematical curves.
Contributed by: Sándor Kabai (April 2007)
Open content licensed under CC BY-NC-SA
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"Rolling Circles"
http://demonstrations.wolfram.com/RollingCircles/
Wolfram Demonstrations Project
Published: April 27 2007