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arXiv · 1705.06187

On Centers and Central Lines of Triangles in the Elliptic Plane

Manfred Evers
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Abstract

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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Manfred Evers. 2017-05-17. On Centers and Central Lines of Triangles in the Elliptic Plane. https://arxiv.org/abs/1705.06187

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