Running Circles around Circles
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This simple Demonstration investigates two families of curves that are generated by the motion of a point on a circle that rolls outside (epicycloids) or inside (hypocycloids) another circle.
Contributed by: Denis Shubleka (March 2011)
Open content licensed under CC BY-NC-SA
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"Running Circles around Circles"
http://demonstrations.wolfram.com/RunningCirclesAroundCircles/
Wolfram Demonstrations Project
Published: March 7 2011