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If a circle is inscribed in the
arbelos ACB with
tangency points D, E, and F, as shown in the figure, then the
points B, C, D, and F are concyclic on circle with center G and
G is the midpoint of the semicircle of diameter BC. Similarly,
A, C, E, and F are concyclic on circle with center H and H is
the midpoint of semicircle of diameter AC.
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