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Generating a Cardioid III: Circles Passing through a Point

Suppose we are given a circle and a point lying on it. The union of all the circles that pass through that point, and whose centers lie on the circle, is a region bounded by a cardioid.

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"Generating a Cardioid III: Circles Passing through a Point" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/GeneratingACardioidIIICirclesPassingThroughAPoint/
Contributed by: Jaime Rangel-Mondragon
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