单词 | projective plane |
释义 | > as lemmasprojective plane projective plane n. Mathematics a two-dimensional manifold which may be regarded as the space of straight lines through the origin of three-dimensional space, or as a spherical shell with all pairs of antipodal points identified (each straight line through the sphere's centre projecting two antipodal points at which it intersects the spherical shell on to a single point of the plane). ΘΚΠ the world > space > [noun] > projective space > projective plane projective plane1899 1899 Science 3 Nov. 654/2 Lines and envelopes of straight lines on a projective plane. 1962 B. H. Arnold Intuitive Concepts Elem. Topol. iii. 71 A projective plane can be considered as a disk and a Möbius strip whose edges are joined. 1975 I. Stewart Concepts Mod. Math. xiii. 199 This is exactly what is happening in the projective plane: going round once things get twisted; going round twice brings them back to normal. < as lemmas |
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