- Let ABC be a triangle and PaPbPc the pedal triangle of point P.

Denote:

A'B'C' the triangle bounded by the radical axes:

((circle_with_diameter_OA),(circle_with_diameter_PPa)),

((circle_with_diameter_OB),(circle_with_diameter_PPb)),

((circle_with_diameter_OC),(circle_with_diameter_PPc)).

Which is the locus of P such that ABC, A'B'C'

are perspective?

H is on the locus. Perspector?

APH - PS see special caseAPH(signed segments) ?Let ABC be a triangle and P a pointWhich is the locus ofÂ P such that PA + PB + PC = 0

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