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Copy of The Arbelos 4: The Inscribed Circle

The figure below is an Arbelos, which means shoemaker's knife in Greek. The grey circle is the Inscribed Circle of the Arbelos. Drag the blue points. The red circles suggest a way to construct the inscribed circle. How should the inscribed circle be constructed?

Wikipedia's basic information

Yourtube: Made in the 1930s, this silent German educational film shows how shoes are made from scratch by a shoemaker.