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Envelopping the NPC

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  • Antreas Hatzipolakis
    Let ABC be a triangle and 12, 13 the tangents to the NPC, perpendicular to BC, near to B,C, resp. Similarly the tangents 23,21 and 31,32. The 6 real
    Message 1 of 2 , Feb 23, 2013
      Let ABC be a triangle and 12, 13 the tangents to the NPC, perpendicular
      to BC, near to B,C, resp. Similarly the tangents 23,21 and 31,32.
      The 6 real intersection points are lying on a conic centered at N.

      Denote

      La = (21/\31)(32/\23)
      Lb = (32/\12)(13/\31)
      Lb = (13/\23)(21/\12)

      The parallels to La,Lb,Lc through the respective vertices of ABC or
      the medial triangle.
      are concurrent.

      APH
    • César Lozada
      Answers: X(1) and X(10) Regards César Lozada _____ De: Hyacinthos@yahoogroups.com [mailto:Hyacinthos@yahoogroups.com] En nombre de Antreas Hatzipolakis
      Message 2 of 2 , Feb 23, 2013
        Answers:

        X(1) and X(10)



        Regards

        César Lozada



        _____

        De: Hyacinthos@yahoogroups.com [mailto:Hyacinthos@yahoogroups.com] En nombre
        de Antreas Hatzipolakis
        Enviado el: Sábado, 23 de Febrero de 2013 06:43 p.m.
        Para: Hyacinthos
        Asunto: [EMHL] Envelopping the NPC





        Let ABC be a triangle and 12, 13 the tangents to the NPC, perpendicular
        to BC, near to B,C, resp. Similarly the tangents 23,21 and 31,32.
        The 6 real intersection points are lying on a conic centered at N.

        Denote

        La = (21/\31)(32/\23)
        Lb = (32/\12)(13/\31)
        Lb = (13/\23)(21/\12)

        The parallels to La,Lb,Lc through the respective vertices of ABC or
        the medial triangle.
        are concurrent.

        APH





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