Problem 645: Archimedes' Book of Lemmas: Proposition 6, Arbelos

Online Geometry

Let AB, the diameter of a semicircle, be divided at C so that Diameters. If DE is the diameter of the circle inscribed in the arbelos ACB, then Formula to prove.
"Arbelos" means shoemaker's knife in Greek.
 

Arimedes Lemma 6, Arbelos and Inscribed circle
 
 

  

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