An Application of the Gergonne-Euler Theorem

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Let the intersection of lines and be denoted . Let the line through point P and parallel to the line be denoted by [P, ].

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Let ABC and A'B'C' be two triangles. Let , , and . Let , , and . Then XX', YY', and ZZ' are concurrent.

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Contributed by: Jay Warendorff (September 2008)
After work by: Darij Grinberg
Open content licensed under CC BY-NC-SA


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