A Pure Taxicab Perspective on Isometries
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912115622674432 |
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| author | Dunbar, Jonathan D. Woltman, Nathaniel |
| author_facet | Dunbar, Jonathan D. Woltman, Nathaniel |
| contents | In this paper, we explicitly show the various isometries of the plane under the taxicab metric. We then use these isometries to prove that Euclid's proposition I.5 for isoscelese triangles is true under certain circumstances in taxicab geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07471 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Pure Taxicab Perspective on Isometries Dunbar, Jonathan D. Woltman, Nathaniel Metric Geometry 51N10, 51F25, 14R99 In this paper, we explicitly show the various isometries of the plane under the taxicab metric. We then use these isometries to prove that Euclid's proposition I.5 for isoscelese triangles is true under certain circumstances in taxicab geometry. |
| title | A Pure Taxicab Perspective on Isometries |
| topic | Metric Geometry 51N10, 51F25, 14R99 |
| url | https://arxiv.org/abs/2411.07471 |