De Longhamps and more
- Let ABC be a triangle, P a point, A'B'C' the circumcevian triangle of P
and L1,L2,L3 the perpendiculars from A',B',C' to the sidelines
BC,CA,AB of ABC, resp.
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,
HAPPY NEW YEAR 2012
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