On Geodesic Triangles in Non-Euclidean Geometry
Copyright policy )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 given geodesic triangle in the hyperbolic or spherical 3-dimensional geometry.
- University of Florence Italy
non-Euclidean geometry, notable points of hyperbolic and spherical triangles,polar triangle, totally geodesic hypersurfaces, QA1-939, notable points of hyperbolic and spherical triangles, polar triangle, totally geodesic hypersurfaces, Mathematics, non-Euclidean geometry
non-Euclidean geometry, notable points of hyperbolic and spherical triangles,polar triangle, totally geodesic hypersurfaces, QA1-939, notable points of hyperbolic and spherical triangles, polar triangle, totally geodesic hypersurfaces, Mathematics, non-Euclidean geometry
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