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On Centers and Central Lines of Triangles in the Elliptic Plane. (arXiv:1705.06187v1 [math.MG])

来源于:arXiv
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 $\rightarrow 0$) 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. 查看全文>>