On Geodesic Triangles in Non-Euclidean Geometry

In this paper, we study centroids, orthocenters, circumcenters, and incenters of geodesic triangles in non-Euclidean geometry, and we discuss the existence of the Euler line in this context. Moreover, we give simple proofs of the existence of a totally geodesic 2-dimensional submanifold containing a...

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Bibliographic Details
Main Authors: Antonella Nannicini, Donato Pertici
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Foundations
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Online Access:https://www.mdpi.com/2673-9321/4/4/30
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