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  • Antreas P. Hatzipolakis
    May 2 1:33 AM
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      Let ABC be a triangle, P a point and PaPbPc the pedal
      triangle of P.

      Ab := AB /\ PPa, Ac := AC /\ PPa

      A' := (perpendicular to AB at Ab) /\ (perpendicular to AC at Ac)

      A" := the orthogonal projection of A' on BC

      A# := BC /\ AA'

      Similarly B',B",B# and C',C",C#

      Which is the locus of P such that

      1. ABC, A'B'C' are perspective

      2. ABC, A"B"C" are perspective

      3. A#,B#, C# are collinear ?

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