Woo circles

In geometry, the Woo circles, introduced by Peter Y.

Woo, are a set of infinitely many Archimedean circles.

Form an arbelos with the two inner semicircles tangent at point C. Let m denote any nonnegative real number.

Draw two circles, with radii m times the radii of the smaller two arbelos semicircles, centered on the arbelos ground line, also tangent to each other at point C and with radius m times the radius of the corresponding small arbelos arc.

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