and L1,L2,L3 the perpendiculars from A',B',C' to the sidelines

BC,CA,AB of ABC, resp.

Denote:

A* = L2 /\ L3, B* = L3 /\ L1, C* = L1 /\ L2

Which is the locus of P such that ABC, A*B*C* are perspective ?

We can replace ABC with other triangles and ask for loci

( for example: Orthic Triangle, Cevian Triangle of P, Pedal Triangle of P,

etc)

HAPPY NEW YEAR 2012

Antreas

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