[alogo] Trilinear polar envelope

L(t,P) = Trilinear Polar of triangle t = (ABC) with respect to point P. But t is constructed by errecting isosceli triangles, similar to u=(GHI), on the sides of another triangle s = (DEF). Find the envelope of L(t,P) as the isosceles changes its altitude.

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A problem not related to the well known Kiepert Parabola and having a locus which may possess cusps, depending on the location of P and the shape of triangle DEF.
Kiepert's Parabola of DEF results as the envelope of trilinear polars LP with respect to DEF, where P is the center of perspective of triangles DEF and ABC (hence Lp is their perspective axis).

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