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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

  • Datos identificativos

    Identificador: imarina:9262320
    Handle: https://hdl.handle.net/20.500.11797/imarina9262320
    Autores:
    Herrera BTran QH
    Resumen:
    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.

  • Otros:

    Autor según el artículo: Herrera B; Tran QH
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Herrera Gómez, Blas
    Palabras clave: Thébault’s theorem Tetrahedron Solid geometry Radical center of spheres Monge point Insphere thebault's theorem tetrahedron radical center of spheres monge point insphere
    Resumen: 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.
    Áreas temáticas: Mathematics Mathematical physics Geometry and topology Applied mathematics
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: blas.herrera@urv.cat
    Identificador del autor: 0000-0003-2924-9195
    Fecha de alta del registro: 2024-09-07
    Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: International Electronic Journal Of Geometry. 15 (1): 75-78
    Referencia 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
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2022
    Tipo de publicación: Journal Publications

  • Palabras clave:

    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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