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    Steiner Curvature Centroid

    Definition

    The geometric centroid of the system obtained by placing a mass equal to the magnitude of the exterior angle at each vertex is called the Steiner curvature centroid. This property was suggested to Honsberger by a reviewer who confused it with the true Steiner point X_99. The Steiner curvature centroid is Kimberling center X_1115, and has triangle center function α = (π - A)/a, making it a transcendental center.

    Associated person

    Jakob Steiner