Generating a Cardioid III: Circles Passing through a Point

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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.
Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
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"Generating a Cardioid III: Circles Passing through a Point"
http://demonstrations.wolfram.com/GeneratingACardioidIIICirclesPassingThroughAPoint/
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Published: March 7 2011