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Concept information

geometry > non-Euclidean geometry > hyperbolic geometry > point at infinity
geometry > projective geometry > point at infinity

Terme préférentiel

point at infinity  

Définition(s)

  • In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line. In the case of an affine plane (including the Euclidean plane), there is one ideal point for each pencil of parallel lines of the plane. Adjoining these points produces a projective plane, in which no point can be distinguished, if we "forget" which points were added. This holds for a geometry over any field, and more generally over any division ring.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Point_at_infinity)

Concept(s) générique(s)

Synonyme(s)

  • ideal point

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-FM8KZ7BS-Q

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RDF/XML TURTLE JSON-LD Date de création 30/06/2023, dernière modif. 30/06/2023