- May 2 1:33 AMLet 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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