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Locus

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  • Antreas P. Hatzipolakis
    Let ABC be a triangle, A B C the cevian triangle of P, and A*B*C* the cevian triangle of P* [= isog. conj. of P] Denote A = The orthogonal Projection of A*
    Message 1 of 2 , Jan 20, 2004
      Let ABC be a triangle, A'B'C' the cevian triangle of P,
      and A*B*C* the cevian triangle of P* [= isog. conj. of P]

      Denote

      A" = The orthogonal Projection of A* on AA'.

      Ab = The orthogonal Projection of A" on AC
      Ab = The Orthogonal Projection of A" on AB

      L1 = The line AbAc. Similarly the lines L2, L3.

      Which is the locus of P such that the lines
      L1,L2,L3 are concurrent, and in general,
      which is the locus of P such that the triangle
      bounded by the lines L1,L2,L3 is perspective with ABC?

      Greetings from Athens

      Antreas
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