Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces (Q1740481)
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| Language | Label | Description | Also known as |
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| English | Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces |
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Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces (English)
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30 April 2019
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The authors appropriately rephrase several results from Euclidean geometry, such as the Monge lines of a $d$-dimensional simplex with a circumcenter, the Monge point, Euler lines, Feuerbach spheres, and prove several results regarding these that generalize their Euclidean counterparts to Minkowski geometry (finite dimensional normed spaces). For the entire collection see [Zbl 1400.52002].
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Birkhoff orthogonality
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vertex centroid
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circumsphere
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Euler line
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Feuerbach sphere
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isosceles orthogonality
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Mannheim's theorem
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Minkowskian simplex
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Monge point
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normality
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normed space
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