Differential geometry of space curves: Forgotten chapters
Fuente:
arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929302646292480 |
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| author | Fuchs, Dmitry Izmestiev, Ivan Raffaelli, Matteo Szewieczek, Gudrun Tabachnikov, Serge |
| author_facet | Fuchs, Dmitry Izmestiev, Ivan Raffaelli, Matteo Szewieczek, Gudrun Tabachnikov, Serge |
| contents | We study evolutes and involutes of space curves. Although much of the material presented is not new and can be found in classic treatises, we believe that a modern and unified treatment, complemented with several novel observations, may be useful. The results are illustrated with the help of computer graphics, a tool that was not not available to the classical geometers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09716 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Differential geometry of space curves: Forgotten chapters Fuchs, Dmitry Izmestiev, Ivan Raffaelli, Matteo Szewieczek, Gudrun Tabachnikov, Serge Differential Geometry 53A04 (Primary) 53A05 (Secondary) We study evolutes and involutes of space curves. Although much of the material presented is not new and can be found in classic treatises, we believe that a modern and unified treatment, complemented with several novel observations, may be useful. The results are illustrated with the help of computer graphics, a tool that was not not available to the classical geometers. |
| title | Differential geometry of space curves: Forgotten chapters |
| topic | Differential Geometry 53A04 (Primary) 53A05 (Secondary) |
| url | https://arxiv.org/abs/2212.09716 |