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arXiv · 2509.10460

Cycling along Euler road

Dylan Wyrzykowski
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Abstract

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.

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Dylan Wyrzykowski. 2025-11-06. Cycling along Euler road. https://doi.org/10.1007/s00022-025-00782-5

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