Circles (A57a) and (A57b): Belev pair

Definition

In the Arbelos draw the midway circle (O'), the circle (OD) and the reflection of the latter through AB. The pair of cirles tangent to the first two of these circles internally and tangent to the third circle externally are the Archimedean circles (A57a) and (A57b). [Theorem 6 of: Dimitar Belev, A Generalization of the Classical Arbelos and the Archimedean Circles, Mathematics plus, volume 16 (64) (2008) 4:54-68]


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