On the foci of circumparabolas - Michel Bataille

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    On the foci of circumparabolas - Michel Bataille

    We establish some results about the foci of the infinitely many parabolas passing through three given points A, B, C. A very simple construction directly leads to their barycentric coordinates which provide, besides their locus, a nice and unexpected link with the foci of the parabolas tangent to the sidelines of triangle ABC.

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