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4 circles in a square

Author(s): 
In a given square of side a, inscribe four equal circles so that each is tangent to two of the other circles and one side of the square. Show that the radii of the circles are a/2(sqrt2-1) (Venable, Elements of Geometry after Legendre, U.S. 1890)

"4 circles in a square," Loci (March 2005)

Dummy View - NOT TO BE DELETED