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Problem 57.
Tangent Circles, Angle Bisector, Cyclic Quadrilateral.
Level: High School, SAT Prep, College 
In the figure below, the circles of
centers O and A are tangent at B, the circles O and F are
tangent at G. A chord CD of the circle O is tangent to the
circle A at E and tangent to the circle F at H. Prove that the
quadrilateral BEHG is a cyclic quadrilateral.
.

I have used
Geometry Expressions to visualize these geometric forms and
check out a variety of conjectures. Geometry Expressions is the
world's first Interactive Symbolic Geometry System. This means:
Geometric figures can be defined by either Symbolic Constraints
or numeric locations.
You can
download Geometry Expressions 2 Free Trial. It is a fully
featured 30 day evaluation copy of the software. All
constraints, constructions and measurements are available for
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