Lobachevskianadj.

/lɒbəˈtʃɛvskɪən/

Forms: Also Lobatchevskian, etc.

Etymology: < the name of Nikolai Ivanovich Lobachevsky (1793–1856), Russian mathematician + -ian suffix.

Mathematics.

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 adj.

ΘΚΠ

the world > relative properties > number > geometry > [adjective] > branches of

stereometrical1656

Apollonian1704

Euclidean1714

isoperimetrical1743

stereotomical1828

stereotomic1860

stereometric1862

graphic1865

parabolic1872

metageometrical1882

pangeometrical1882

Riemannian1889

synthetic1889

polygonometric1890

Lobachevskian1896

topological1913

1896 G. B. Halsted in In Memoriam N. I. Lobatchevskii (1897) 24 Considered as subjective systems, the Lobachevskian, Euclidean, and Riemannian geometries are equally true.

1908 Trans. Amer. Math. Soc. 9 182 In Riemannian or Lobatchewskian space, conformal and equilong transformations are identical.

1937 Mind 46 173 Einstein's law of composition of velocities can be represented on a Lobatchevskian plane.

1961 E. Nagel Struct. of Sci. ix. 237 In the Lobachewskian geometry, the angle sum of a triangle is not constant for all triangles.

1976 Sci. 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.

1989 R. Penrose Emperor's New Mind v. 156 In Lobachevskian geometry, this sum [of the angles of a triangle] is always less than 180°.

This entry has not yet been fully updated (first published 1997; most recently modified version published online June 2018).

单词	lobachevskian
释义	Lobachevskianadj. /lɒbəˈtʃɛvskɪən/ Forms: Also Lobatchevskian, etc. Etymology: < the name of Nikolai Ivanovich Lobachevsky (1793–1856), Russian mathematician + -ian suffix. Mathematics. 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 adj. ΘΚΠ the world > relative properties > number > geometry > [adjective] > branches of stereometrical1656 Apollonian1704 Euclidean1714 isoperimetrical1743 stereotomical1828 stereotomic1860 stereometric1862 graphic1865 parabolic1872 metageometrical1882 pangeometrical1882 Riemannian1889 synthetic1889 polygonometric1890 Lobachevskian1896 topological1913 1896 G. B. Halsted in In Memoriam N. I. Lobatchevskii (1897) 24 Considered as subjective systems, the Lobachevskian, Euclidean, and Riemannian geometries are equally true. 1908 Trans. Amer. Math. Soc. 9 182 In Riemannian or Lobatchewskian space, conformal and equilong transformations are identical. 1937 Mind 46 173 Einstein's law of composition of velocities can be represented on a Lobatchevskian plane. 1961 E. Nagel Struct. of Sci. ix. 237 In the Lobachewskian geometry, the angle sum of a triangle is not constant for all triangles. 1976 Sci. 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. 1989 R. Penrose Emperor's New Mind v. 156 In Lobachevskian geometry, this sum [of the angles of a triangle] is always less than 180°. This entry has not yet been fully updated (first published 1997; most recently modified version published online June 2018). < adj.1896
随便看	wrist clonus wrist compass wrist connection wrist end wrist favour wrist guard wrist hit wrist jerk wrist of the foot wrist power wrist radio wrist shot wrist strap wrist stroke wrist telephone wrist television wrist-bag wrist-bangle wrist-bender wrist-bone wrist-button wrist-cord wrist-drop wrist-fall wrist-guide