| 释义 |
Lobachevskian, a. Math.|lɒbəˈtʃɛvskɪən|
Also Lobatchevskian, etc.
[f. the name of Nikolai Ivanovich Lobachevsky (1793–1856), Russian mathematician + -ian.]
Of, pertaining to, or designating a kind of non-Euclidean geometry (also called hyperbolic geometry) postulated by Lobachevsky in 1826, in which space is everywhere negatively curved. Cf. Riemannian a.
1896G. B. Halsted in In Memoriam N. I. Lobatchevskii (1897) 24 Considered as subjective systems, the Lobachevskian, Euclidean, and Riemannian geometries are equally true. 1908Trans. Amer. Math. Soc. IX. 182 In Riemannian or Lobatchewskian space, conformal and equilong transformations are identical. 1937Mind XLVI. 173 Einstein's law of composition of velocities can be represented on a Lobatchevskian plane. 1961E. Nagel Struct. of Sci. ix. 237 In the Lobachewskian geometry, the angle sum of a triangle is not constant for all triangles. 1976Sci. Amer. Aug. 98/1 The antinomy of space persisted, however, because the new Lobachevskian space (as it is often called) had the same overall topological structure as Euclidean space. 1989R. Penrose Emperor's New Mind v. 156 In Lobachevskian geometry, this sum [of the angles of a triangle] is always less than 180°. |