In the figure below, the circles of
centers O and A are tangent at B. A chord CD of the circle O is
tangent to the circle A at E. Prove that BE is the angle
bisector of angle CBD.
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.