Non-Euclidean Triangle Centers
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2016
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911928885968896 |
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| author | Russell, Robert A. |
| author_facet | Russell, Robert A. |
| contents | Non-Euclidean triangle centers can be described using homogeneous coordinates that are proportional to the generalized sines of the directed distances of a given center from the edges of the reference triangle. Identical homogeneous coordinates of a specific triangle center may be used for all spaces of uniform Gaussian curvature. We also define the median point for a set of points in non-Euclidean space and a planar center of rotation for a set of points in a non-Euclidean plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1608_08190 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Non-Euclidean Triangle Centers Russell, Robert A. Metric Geometry 51Mxx Non-Euclidean triangle centers can be described using homogeneous coordinates that are proportional to the generalized sines of the directed distances of a given center from the edges of the reference triangle. Identical homogeneous coordinates of a specific triangle center may be used for all spaces of uniform Gaussian curvature. We also define the median point for a set of points in non-Euclidean space and a planar center of rotation for a set of points in a non-Euclidean plane. |
| title | Non-Euclidean Triangle Centers |
| topic | Metric Geometry 51Mxx |
| url | https://arxiv.org/abs/1608.08190 |