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](p1006-tangent-circles-common-external-bicentric-trapezoid-math.gif)
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