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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.
Contributed by:
Stan Wagon
(Macalester College)
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This code is taken from S. Wagon,
Mathematica in Action
, 3rd ed., forthcoming from Springer-Verlag.
RELATED LINKS
Villarceau Circles
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Villarceau Circles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VillarceauCircles/
Contributed by:
Stan Wagon
(Macalester College)
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Related Curriculum Standards
US Common Core State Standards, Mathematics
7.G.A.3
HSG-GMD.B.4
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