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An Analogue of Thébault’s Theorem Linking the Radical Center of Four Spheres with the Insphere and the Monge Point of a Tetrahedron

  • Dades identificatives

    Identificador: imarina:9262320
    Autors:
    Herrera BTran QH
    Resum:
    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.
  • Altres:

    Autor segons l'article: Herrera B; Tran QH
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: Herrera Gómez, Blas
    Paraules clau: Thébault’s theorem Tetrahedron Solid geometry Radical center of spheres Monge point Insphere thebault's theorem tetrahedron radical center of spheres monge point insphere
    Resum: 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.
    Àrees temàtiques: Mathematics Mathematical physics Geometry and topology Applied mathematics
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: blas.herrera@urv.cat
    Identificador de l'autor: 0000-0003-2924-9195
    Data d'alta del registre: 2024-09-07
    Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
    Enllaç font original: https://dergipark.org.tr/en/pub/iejg/issue/69397/957190
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: International Electronic Journal Of Geometry. 15 (1): 75-78
    Referència de l'ítem segons les normes 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
    DOI de l'article: 10.36890/IEJG.957190
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2022
    Tipus de publicació: Journal Publications
  • Paraules clau:

    Applied Mathematics,Geometry and Topology,Mathematical Physics,Mathematics
    Thébault’s theorem
    Tetrahedron
    Solid geometry
    Radical center of spheres
    Monge point
    Insphere
    thebault's theorem
    tetrahedron
    radical center of spheres
    monge point
    insphere
    Mathematics
    Mathematical physics
    Geometry and topology
    Applied mathematics
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