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Generating a Cardioid II: Reflecting in Tangents

Let A be a particular point (red) on a fixed circle. The set of points symmetric to A relative to all possible tangents to the circle lie on a cardioid.

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 Jaime Rangel-Mondragon
"Generating a Cardioid II: Reflecting in Tangents"
 http://demonstrations.wolfram.com/GeneratingACardioidIIReflectingInTangents/
 Wolfram Demonstrations Project
 Published: March 7, 2011
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Common Core State Standards for Mathematics
 
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