Theorem of three squares across three geometries
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866912438094397440 |
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| author | Ichihara, Kazuhiro Ushijima, Akira |
| author_facet | Ichihara, Kazuhiro Ushijima, Akira |
| contents | In Euclidean geometry, the Pythagorean theorem is presented as an equation involving three squares. This paper explores how analogous expressions may be identified in spherical and hyperbolic geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15416 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Theorem of three squares across three geometries Ichihara, Kazuhiro Ushijima, Akira Metric Geometry Primary: 51M09, Secondary: 51M04 In Euclidean geometry, the Pythagorean theorem is presented as an equation involving three squares. This paper explores how analogous expressions may be identified in spherical and hyperbolic geometries. |
| title | Theorem of three squares across three geometries |
| topic | Metric Geometry Primary: 51M09, Secondary: 51M04 |
| url | https://arxiv.org/abs/2506.15416 |