Problem 644: Archimedes' Book of Lemmas: Proposition 5, Arbelos, Archimedean Twins

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If two circles E and F are inscribed in the arbelos tangent to the line segment CD, one on each side as shown in the figure, then the two circles, called Archimedean twins, are congruent.
"Arbelos" means shoemaker's knife in Greek.


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