Five circles theorem explained

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

• Book: Wells D . 1991 . The Penguin Dictionary of Curious and Interesting Geometry . Penguin Books . New York . 0-14-011813-6 . 79 .