A short proof of Lemoine’s theorem

  • Cosmin Pohoata, A short proof of Lemoine’s theorem, Forum Geometricorum 8 (2008), 97-98. (Link to the paper’s abstract)

    We give a short proof of Lemoine’s theorem that the Lemoine point of a triangle is the unique point which is the centroid of its own pedal triangle. We make use of a theorem by Daneels and Dergiades on orthologic triangles.

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