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Similar to Brianchon's Theorem

Source: Czech-Polish-Slovak 2008, P2

April 14, 2013
geometrycircumcirclegeometry proposed

Problem Statement

ABCDEFABCDEF is a convex hexagon, such that ∣∠FAB∣=∣∠BCD∣=∣∠DEF∣|\angle FAB| = |\angle BCD| =|\angle DEF| and ∣AB∣=∣BC∣,|AB| =|BC|, ∣CD∣=∣DE∣|CD| = |DE|, ∣EF∣=∣FA∣|EF| = |FA|. Prove that the lines ADAD, BEBE and CFCF are concurrent.
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