Cycling along Euler road
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914345746694144 |
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| author | Wyrzykowski, Dylan |
| author_facet | Wyrzykowski, Dylan |
| contents | We introduce the notion of $P_λ$ points, which canonically parametrize points on the Euler line. This allows us to show that the Euler line of any $d$-dimensional inscribed polygon in Euclidean space arises from the Euler lines of its sub-polygons, beginning from the Euler line of a point in the plane. Furthermore, we situate $P_λ$ points in the literature of modern triangle centers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10460 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cycling along Euler road Wyrzykowski, Dylan Metric Geometry History and Overview Primary 51M05, 51M04, 51N20 We introduce the notion of $P_λ$ points, which canonically parametrize points on the Euler line. This allows us to show that the Euler line of any $d$-dimensional inscribed polygon in Euclidean space arises from the Euler lines of its sub-polygons, beginning from the Euler line of a point in the plane. Furthermore, we situate $P_λ$ points in the literature of modern triangle centers. |
| title | Cycling along Euler road |
| topic | Metric Geometry History and Overview Primary 51M05, 51M04, 51N20 |
| url | https://arxiv.org/abs/2509.10460 |