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# 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 the their second intersection points forms a pentagram whose points lie on the circles themselves.

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" from MathWorld.

Weisstein, Eric W., "Miquel Pentagram Theorem" from MathWorld.

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

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