- Let ABC be a triangle, IaIbIc the excentral triangle, P a point

and A'B'C' the cevian triangle of P.

Denote A* = B'Ic /\ C'Ib, B* = C'Ia /\ A'Ic, C* = A'Ib /\ B'Ia

Which is the locus of P such that

1. ABC, A*B*C*

2. A'B'C', A*B*C*

are perspective?

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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