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7861MORE CONCURRENT EULER LINES

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  • Antreas P. Hatzipolakis
    Sep 11 2:12 PM
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      Let ABC be a triangle, HaHbHc its orthic triangle, and
      EaEbEc its Euler triangle (ie Ea = midpoint of AH etc).

      HbEa /\ AB = Hab

      HcEa /\ AC = Hac

      Similarly the points Hbc, Hba; Hca, Hcb.

      Are the Euler Lines of the Triangles AHabHac,
      BHbcHba, CHcaHcb concurrent ?

      Parametrization:

      Ea, Eb, Ec points on AH, BH, CH, resp.
      such that:

      AEa / AH = BEb / BH = CEc / CH = t.

      etc

      Antreas

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