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24541Euler lines concurrency (X(1113) and X(1114))

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  • Antreas Hatzipolakis
    Oct 4, 2016

      From: Seiichi Kirikami

      Dear friends,

       

      Let ABC be a triangle, H its orthocenter, L its Euler line and (O) its circumcircle.

      Denote:

      X(113), X(114) = 2 intersections of L and (O).

      Euler lines of AHX(1113), BHX(1113), CHX(1113) concur in a point P.

      Euler lines of AHX(1114), BHX(1114), CHX(1114) concur in a point Q.

      Cabri-measurement of 1st coordinate of P of triangle {6, 9, 13}: x = 0.7813644972..

      Cabri-measurement of 1st coordinate of Q of triangle {6, 9, 13}: x = -58.2868250027..

      See the attachement of HX(1113) case.

       

      Best regards, Seiichi.



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