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
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			Circle
 
              
		                
			
			Congruence
			
				Collinear Points
 
			        
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