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Math: Geometry Problem 1006: Tangent Circles, Common External Tangent, Bicentric Trapezoid, Incenter, Circumcenter. Level: School, College.

Circles O and Q are tangent externally at T (see the figure below). If AB and CD are common external tangents, prove that ABCD is a bicentric trapezoid with incenter T and circumcenter O1.
 

Geometry Problem 1006: Tangent Circles, Common External Tangent, Bicentric Trapezoid, Incenter, Circumcenter

 


 
 

 

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Last updated: Sep 19, 2014