The figure below shows
points A and B on a circle of center O. Circle of center A and radius AB
cuts circle O at C. Circle of center B and radius BA cuts circle O at D.
BO extended cuts circle A at E. Prove that the points C, D, and E are
collinear.

See also:
Art of problem 1404, Circle Patterns using Mobile Apps.

Geometry Problems

Ten problems: 1401-1410

Visual Index

Open Problems

All Problems

Circle

Congruence

Collinear Points

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