Five circles theorem
Derives a pentagram from five chained circles centered on a common sixth circle
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
- Clifford's circle theorems
- Miquel's theorem
- Six circles theorem
- Seven circles theorem
References
- Wells D (1991). The Penguin Dictionary of Curious and Interesting Geometry. New York: Penguin Books. pp. 79. ISBN 0-14-011813-6.
External links
- Weisstein, Eric W. "Miquel Five Circles Theorem". MathWorld.
- Weisstein, Eric W. "Miquel Pentagram Theorem". MathWorld.
