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). Il dizionario dei pinguini di geometria curiosa e interessante. New York: Libri sui pinguini. pp. 79. ISBN 0-14-011813-6. Weissstein esterno sinistro, Eric W. "Miquel Five Circles Theorem". Math World. Weisstein, Eric W. "Miquel Pentagram Theorem". Math World. Categorie: Teoremi sui cerchi