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A Hexagon with Opposite Sides Parallel

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Let ABC be a triangle with corresponding excenters A', B', and C'. Let A'' be the point where the perpendicular to AB through B' intersects the perpendicular to AC through C'. Define B'' and C'' similarly. Then A''B'C''A'B''C' is a hexagon with opposite sides parallel.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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