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Four Congruent Circles and an Inscribed Square

Author(s): 

A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square.  Find their radius in terms of the sides a, b, c, of the triangle. (Japan, Edo Period, 1603-1867)

 

"Four Congruent Circles and an Inscribed Square," Loci (February 2006)

Dummy View - NOT TO BE DELETED