real projective plane

English

real projective plane (plural real projective planes)

(geometry) 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”.[1] Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”.

Garrett Birkhoff; Saunders Mac Lane (1953) A Survey Of Modern Algebra, Revised edition, U.S.A.: The Macmillan Company, published 1960, §IX.14, page 294

单词	real projective plane
释义	real projective plane English Noun real projective plane (plural real projective planes) (geometry) 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”.[1] Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”. Hypernyms projective plane References Garrett Birkhoff; Saunders Mac Lane (1953) A Survey Of Modern Algebra, Revised edition, U.S.A.: The Macmillan Company, published 1960, §IX.14, page 294
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