The Lemoine cubic and its generalizations - Bernard Gibert

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    The Lemoine cubic and its generalizations - Bernard Gibert​

    For a given triangle, the Lemoine cubic is the locus of points whose cevian lines intersect the perpendicular bisectors of the corresponding sides of the triangle in three collinear points. We give some interesting geometric properties of the Lemoine cubic, and study a number of cubics related to it.

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