Five circles theorem

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 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. Categories: Theorems about circles