real projective plane
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”.
Noun
real projective plane (plural real projective planes)
- 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”.
Forms of real projective plane
| plural | real projective planes |
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Questions about real projective plane
- What does real projective plane mean?
- Real projective plane means 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”.
- What part of speech is real projective plane?
- Real projective plane is a noun.
- What is the plural of real projective plane?
- The plural of real projective plane is real projective planes.
Words near real projective plane in the dictionary
Source and license
Adapted from Wiktionary: real projective plane (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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