Articles producció científica> Enginyeria Informàtica i Matemàtiques

Two conjectures by Victor Thébault linking tetrahedra with quadrics.

  • Identification data

    Identifier: imarina:5128822
    Handle: https://hdl.handle.net/20.500.11797/imarina5128822
    Authors:
    Herrera Gómez, B.
    Abstract:
    We prove two of Th´ebault’s conjectures. The first (1949) links four lines, that they are rulings of hyperbolic paraboloids or that they are coplanar, with orthocentric or isodynamic tetrahedra, respectively. The second (1953) links the radical center of four spheres with elements of tetrahedra.

  • Others:

    Author, as appears in the article.: Herrera Gómez, B.
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Herrera Gómez, Blas
    Abstract: We prove two of Th´ebault’s conjectures. The first (1949) links four lines, that they are rulings of hyperbolic paraboloids or that they are coplanar, with orthocentric or isodynamic tetrahedra, respectively. The second (1953) links the radical center of four spheres with elements of tetrahedra.
    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: 2023-11-27
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://forumgeom.fau.edu/FG2015volume15/FG201510index.html
    Papper original source: Forum Geometricorum: A Journal On Classical Euclidean Geometry. 15 (1): 115-122
    APA: Herrera Gómez, B. (2015). Two conjectures by Victor Thébault linking tetrahedra with quadrics.. Forum Geometricorum: A Journal On Classical Euclidean Geometry, 15(1), 115-122
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2015
    Publication Type: Journal Publications