On Ceva's and Menelaus's Theorems for a Möbius triangle
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917543868891136 |
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| author | Livinsky, Ivan |
| author_facet | Livinsky, Ivan |
| contents | We generalize the classical Ceva's and Menelaus's theorems to curvilinear triangles bounded by circular arcs. We introduce trilinear coordinates associated with such triangles and develop several geometric constructions. In particular, for any proper Möbius triangle we define the incenter, excenters, and orthocenter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29905 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Ceva's and Menelaus's Theorems for a Möbius triangle Livinsky, Ivan Metric Geometry We generalize the classical Ceva's and Menelaus's theorems to curvilinear triangles bounded by circular arcs. We introduce trilinear coordinates associated with such triangles and develop several geometric constructions. In particular, for any proper Möbius triangle we define the incenter, excenters, and orthocenter. |
| title | On Ceva's and Menelaus's Theorems for a Möbius triangle |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2605.29905 |