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Chess Geometry[Subject Thread] [Add Response]
Ben Reiniger wrote on Mon, Nov 18, 2013 03:11 PM UTC:
Charles: which example?  the 49?  Those triangles do not share a hypotenuse (aha, when I say "share a hypotenuse", I mean that geometrically, not just that they have the same length).  And, the orientation of the hypotenuse is determined by the choice of right-angled orthogonal-diagonal pair.

(I may still be misunderstanding your question, so the rephrasing and proof may yet be incorrect.)