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Concept information

geometry > differential geometry > differential geometry of surfaces > ruled surface > hyperboloid
geometry > Euclidean geometry > surface > ruled surface > hyperboloid
topology > geometric topology > surface > ruled surface > hyperboloid
geometry > topological space > surface > ruled surface > hyperboloid
geometry > analytic geometry > surface > ruled surface > hyperboloid
geometry > geometric figure > quadric > hyperboloid

Terme préférentiel

hyperboloid  

Définition(s)

  • In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation. A hyperboloid is a quadric surface, that is, a surface defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces, a hyperboloid is characterized by not being a cone or a cylinder, having a center of symmetry, and intersecting many planes into hyperbolas. A hyperboloid has three pairwise perpendicular axes of symmetry, and three pairwise perpendicular planes of symmetry.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hyperboloid)

Concept(s) générique(s)

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URI

http://data.loterre.fr/ark:/67375/PSR-TZMHRT6K-F

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RDF/XML TURTLE JSON-LD Dernière modif. 30/06/2023