Geometry Problem 53: Tangent Circles, Angle Bisector.

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In the figure below, the circles of centers O and A are tangent at B. A chord CD of the circle O is tangent to the circle A at E. Prove that BE is the angle bisector of angle CBD.

Flyer of problem 53 using iPad Apps

See also:
Art and typography of problem 53.

Dynamic Geometry using Geogebra

Created by Tim Brzezinski.