real projective plane

noun

A three-dimensional vector space over the field of real numbers in which one-dimensional linear subspaces are considered as “points” and two-dimensional linear subspaces are considered as “lines”. Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”.

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Meanings

nounreal projective plane (plural real projective planes)

plural real projective planes

  1. geometryA three-dimensional vector space over the field of real numbers in which one-dimensional linear subspaces are considered as “points” and two-dimensional linear subspaces are considered as “lines”. Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”.

Translations

Polish płaszczyzna rzutowa rzeczywista
  • płaszczyzna rzutowa rzeczywistavector space
Cite this entry
APA

real projective plane. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/real%20projective%20plane

MLA

“real projective plane.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/real%20projective%20plane. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “real projective plane,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/real%20projective%20plane.

Source: real projective plane on Wiktionary, CC BY-SA 4.0.