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  • Antreas Hatzipolakis
    Let ABC be a triangle, P a point, A B C the circumcevian triangle of P and L1,L2,L3 the perpendiculars from A ,B ,C to the sidelines BC,CA,AB of ABC, resp.
    Message 1 of 1 , Jan 1, 2012
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      Let ABC be a triangle, P a point, A'B'C' the circumcevian triangle of P
      and L1,L2,L3 the perpendiculars from A',B',C' to the sidelines
      BC,CA,AB of ABC, resp.

      Denote:

      A* = L2 /\ L3, B* = L3 /\ L1, C* = L1 /\ L2

      Which is the locus of P such that ABC, A*B*C* are perspective ?

      We can replace ABC with other triangles and ask for loci
      ( for example: Orthic Triangle, Cevian Triangle of P, Pedal Triangle of P,
      etc)

      HAPPY NEW YEAR 2012

      Antreas


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