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[EMHL] Re: Perspector based on incenter and excircles

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  • Antreas P. Hatzipolakis
    ... And which is the locus of P such that the triangles ABC, KaKbKc are perspective? (if A1B1C1 = pedal or cevian tr. of P) APH --
    Message 1 of 23 , Apr 1, 2004
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      [APH]:

      >Let ABC be a triangle and A1B1C1 a triangle inscribed in ABC.
      >Construct three CONGRUENT and CONCURRENT circles (Ka), (Kb), (Kc) such that
      >Ka touches BC at A1, Kb touches CA at B1, and Kc touches AB at C1.
      >
      >If A1B1C1 is the pedal (or cevian) triangle of P, and (Ca), (Cb), (Cc)
      >are the three circles passing through (B,C), (C,A), (A,B)
      >and touching (Ka), (Kb), (Kc) at A2,B2,C2 resp., then which is the locus
      >of P such that ABC, A2B2C2 are perspective?

      And which is the locus of P such that the triangles
      ABC, KaKbKc are perspective? (if A1B1C1 = pedal or cevian tr. of P)

      APH

      --
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