Loading ...
Sorry, an error occurred while loading the content.

22081Pedal/antipedal triangles loci

Expand Messages
  • Antreas Hatzipolakis
    Mar 28, 2014
    • 0 Attachment

      Let ABC be a triangle, P a point, A'B'C', A"B"C" the pedal, antipedal
      triangles of P, resp.


      A* =  B'C" /\ C'B", B* = C'A" /\ A'C", C* = A'B" /\ B'A"

      Which is the locus of P such that the triangle A*B*C* is perspective with
      the triangles (1) ABC, (2) A'B'C' (3) A"B"C"  ?

      Note: For P = I the circumcenter of A*B*C* is the I.