Euler's explorations of extremal ellipses
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914040340545536 |
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| author | Euler, Leonhard Evans, Jonathan David |
| author_facet | Euler, Leonhard Evans, Jonathan David |
| contents | In the 1770s, Euler wrote a series of papers (E563, E691 and E692) about finding the ellipse with minimal area or perimeter in the family of all ellipses passing through a fixed set of points. This is a translation of all three papers from the original Latin, together with a commentary which discusses Euler's results and an appendix which addresses a question from E691 which Euler left for others to consider. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13173 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Euler's explorations of extremal ellipses Euler, Leonhard Evans, Jonathan David History and Overview Metric Geometry In the 1770s, Euler wrote a series of papers (E563, E691 and E692) about finding the ellipse with minimal area or perimeter in the family of all ellipses passing through a fixed set of points. This is a translation of all three papers from the original Latin, together with a commentary which discusses Euler's results and an appendix which addresses a question from E691 which Euler left for others to consider. |
| title | Euler's explorations of extremal ellipses |
| topic | History and Overview Metric Geometry |
| url | https://arxiv.org/abs/2509.13173 |