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        Problem 456: Three tangent circles, Center, Chord, Secant, Collinear 
              The figure shows three circles A, B, 
				and C tangent to each other at D, E, and F, respectively. Lines 
				DE and FE intersect circle A at G and H, respectively. Prove 
				that the points H, A, and G are collinear. 
 
				 
 
  
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