Cassini Ovals and Other Curves
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Fix two points and in the plane and consider the locus of a point so that the sum of the distances from to and equals some constant. For different arithmetic operations (sum, difference, quotient, or product), this set takes on different shapes.
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Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA
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"Cassini Ovals and Other Curves"
http://demonstrations.wolfram.com/CassiniOvalsAndOtherCurves/
Wolfram Demonstrations Project
Published: March 7 2011