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The figure below shows the circles of diameters AB, BC, and AC
of centers O1, O2, and O3,
respectively (B is on AC). DE is perpendicular to AC at B. If the
chord FH is tangent to circles O1 and O2,
prove that DE is the bisector of angle FDH.
ARCHIMEDEAN DYNAMICS
Poristic Triangles of the Arbelos
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