17959CONJECTURE (Re: More Reflections in bisectors)
- Jul 4, 2009[APH]
> Let ABC be a triangle, A'B'C' its medial triangleIt is true and simple, since ABC, A'B'C'
> and P a point.
> Let La, Lb, Lc be the reflections of PA', PB', PC'
> in the bisectors AI, BI, CI, resp.
> Which is the locus of P such that the triangles
> ABC, Triangle bounded by (La, Lb, Lc) are
> parallelogic ?
> It seems the locus is the entire plane.
> Parallelogic centers?
How about if A'B'C' is the orthic triangle?
Which is the locus of P?
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