Villarceau Circles

It is obvious that every point on a torus is contained in two circles that lie on the torus. Less obvious is the fact that every such point is contained in two additional circles, called the Villarceau circles.


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This code is taken from S. Wagon, Mathematica in Action, 3rd ed., forthcoming from Springer-Verlag.
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Related Curriculum Standards

US Common Core State Standards, Mathematics