On the Newton line of a quadrilateral - Paris Pamfilos

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    On the Newton line of a quadrilateral - Paris Pamfilos

    We introduce the idea of the conjugate polygon of a point relative to another polygon and examine the closing property of polygons inscribed in others and having sides parallel to a conjugate polygon. Specializing for quadrangles we prove a characterization of their Newton line related to the possibility to inscribe a quadrangle having its sides parallel to the sides of a conjugate one.

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