单词 | metric geometry |
释义 | > as lemmasmetric geometry metric geometry n. Mathematics the branch of geometry that deals with the measurement and comparison of distances between points; the geometry of metric spaces. ΚΠ 1866 Q. Jrnl. Pure & Appl. Math. 7 54 Euclid i. 47 is an example of..metric geometry. 1910 O. Veblen & J. W. Young Projective Geom. I. i. 12 The difference between projective and the ordinary Euclidean metric geometry. 1963 R. A. Rosenbaum Introd. Projective Geom. & Mod. Algebra i. 12 The situation may be loosely described by stating that metric geometry treats of more highly restricted properties than those of projective geometry. 1972 M. Kline Math. Thought xxxviii. 919 In four metric geometries, that is, Euclidean, hyperbolic, and the two elliptic geometries, the transformations which are permitted in the corresponding subgroup are what is usually called rigid motions. < as lemmas |
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