Geometry Problem 1404: Three Circles, Center, Intersecting Points, Collinearity, Congruence

Proposition

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.
 
 

Geometry Problem 1404: Three Circles, Center, Intersecting Points, Collinearity, Congruence, Tutor

 


Poster of Geometry Problem 1404: Sketching, Typography using iPad Apps

Poster of Geometry 1404: Sketching, Typography using iPad Apps, Circles, Center, Intersecting Points, Collinearity, Tutor

 


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