Author, as appears in the article.: Herrera B; Tran QH
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Herrera Gómez, Blas
Keywords: Thébault’s theorem Tetrahedron Solid geometry Radical center of spheres Monge point Insphere thebault's theorem tetrahedron radical center of spheres monge point insphere
Abstract: In 1953, Victor Thébault conjectured a link between the altitudes of a tetrahedron and the radical center of the four spheres with the centers at the vertices of this tetrahedron and the corresponding tetrahedron altitudes as radii. This conjecture was proved in 2015. In this paper, we propose an analogue of Thébault’s theorem.We establish a link between the radical center of the four spheres, the insphere, and the Monge point of a tetrahedron.
Thematic Areas: Mathematics Mathematical physics Geometry and topology Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: blas.herrera@urv.cat
Author identifier: 0000-0003-2924-9195
Record's date: 2024-09-07
Papper version: info:eu-repo/semantics/publishedVersion
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: International Electronic Journal Of Geometry. 15 (1): 75-78
APA: Herrera B; Tran QH (2022). An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron. International Electronic Journal Of Geometry, 15(1), 75-78. DOI: 10.36890/IEJG.957190
Entity: Universitat Rovira i Virgili
Journal publication year: 2022
Publication Type: Journal Publications
Repositori URV