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An Application of the Gergonne-Euler Theorem


	Let the intersection of lines and be denoted . Let the line through point P and parallel to the line be denoted by [P, ]. Let ABC and A'B'C' be two triangles. Let , , and . Let , , and . Then XX', YY', and ZZ' are concurrent.


	Contributed by: Jay Warendorff After work by: Darij Grinberg

Concurrent (Wolfram MathWorld)

Parallel Lines (Wolfram MathWorld)

"An Application of the Gergonne-Euler Theorem" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AnApplicationOfTheGergonneEulerTheorem/

Contributed by: Jay Warendorff

After work by: Darij Grinberg

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