Five circles theorem

In geometry, the five circles theorem states that, given five circles centered on a common sixth circle and intersecting each other chainwise on the same circle, the lines joining their second intersection points forms a pentagram whose points lie on the circles themselves.

See also

References

  • Wells D (1991). The Penguin Dictionary of Curious and Interesting Geometry. New York: Penguin Books. p. 79. ISBN 0-14-011813-6.
  • Weisstein, Eric W. "Miquel Five Circles Theorem". MathWorld.
  • Weisstein, Eric W. "Miquel Pentagram Theorem". MathWorld.
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