On centers and central lines of triangles in the elliptic plane - Manfred Evers

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    On centers and central lines of triangles in the elliptic plane - Manfred Evers

    We determine barycentric coordinates of triangle centers in the elliptic plane. The main focus is put on centers that lie on lines whose euclidean limit (triangle excess --> 0) is the Euler line or the Brocard line. We also investigate curves which can serve in elliptic geometry as substitutes for the euclidean nine-point-circle, the first Lemoine circle or the apollonian circles.

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