non-Euclideanadj.

Brit.

/ˌnɒnjuːˈklɪdɪən/, U.S.

/ˌnɑnjuˈklɪdiən/

Forms: see non- prefix and Euclidean adj.

Origin: Formed within English, by derivation; modelled on a German lexical item. Etymons: non- prefix, Euclidean adj.

Etymology: < non- prefix + Euclidean adj., after German nicht-Euklidische (C. F. Gauss 1824, Brief 8 Nov. in Werke (1900) VIII. 187). Compare German anti-Euklideische (Wachter 1816, Brief 12 Dec. in C. F. Gauss Werke (1900) VIII. 175). Compare French non-Euclidien (1868).

Mathematics.

Not Euclidean, not in accordance with the principles of Euclid. non-Euclidean geometry n. a system of geometry in which one or more of the axioms of Euclidean geometry is dispensed with, esp. the postulate that there is one and only one line through a given point parallel to a given line; also called metageometry. non-Euclidean space n. a space whose geometry is non-Euclidean.

ΘΚΠ

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

planimetrya1393

conic?a1560

helicosophy1570

stereometry1570

spheric1660

planometry1669

mensuration1704

polygonometry1791

analytical geometry1802

isoperimetry1811

analytic geometry1817

algebraic geometry1821

coordinate geometry1837

non-Euclidean geometry1872

differential geometry1877

pangeometry1878

projective geometry1878

metageometry1890

Riemann geometry1895

variable geometry1957

the world > relative properties > number > geometry > geometric space > [noun] > non-Euclidean

hyperspace1867

curvature1873

Riemann space1894

non-Euclidean space1939

1872 Mathematische Ann. 5 630 The theory of Non-Euclidean Geometry as developed in Dr. Klein's paper ‘Über die Nicht-Euclidische Geometrie’ may be illustrated by showing how in such a system we actually measure a distance and an angle.

1878 S. Newcomb Pop. Astron. iv. iii. 505 Several geometrical systems have been constructed in recent times, which are included under the general appellation of the non-Euclidian Geometry.

1900 R. S. Ball Theory of Screws 439 The..basis of the mensuration of non-Euclidian space.

1939 G. Kron Tensor Anal. Networks p. xvi Tensor analysis may be considered as an extension and generalization of vector analysis from three- to n-dimensional spaces and from Euclidean to non-Euclidean spaces.

1956 E. H. Hutten Lang. Mod. Physics iii. 113 In the beginning of the 19th century..Bolyai, Lobatchevsky, and (later) Riemann demonstrated that other axiom systems could be constructed representing various kinds of non-Euclidean geometry.

1972 M. Kline Math. Thought xxxvi. 872 From about 1813 on Gauss developed his new geometry which he first called anti-Euclidean geometry, then astral geometry, and finally non-Euclidean geometry.

1990 Q. Jrnl. Math. 41 45 A generalisation to N.E.C. groups (Non-Euclidean crystallographic groups) is implicit.

This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022).

单词	non-euclidean
释义	non-Euclideanadj. Brit. /ˌnɒnjuːˈklɪdɪən/, U.S. /ˌnɑnjuˈklɪdiən/ Forms: see non- prefix and Euclidean adj. Origin: Formed within English, by derivation; modelled on a German lexical item. Etymons: non- prefix, Euclidean adj. Etymology: < non- prefix + Euclidean adj., after German nicht-Euklidische (C. F. Gauss 1824, Brief 8 Nov. in Werke (1900) VIII. 187). Compare German anti-Euklideische (Wachter 1816, Brief 12 Dec. in C. F. Gauss Werke (1900) VIII. 175). Compare French non-Euclidien (1868). Mathematics. Not Euclidean, not in accordance with the principles of Euclid. non-Euclidean geometry n. a system of geometry in which one or more of the axioms of Euclidean geometry is dispensed with, esp. the postulate that there is one and only one line through a given point parallel to a given line; also called metageometry. non-Euclidean space n. a space whose geometry is non-Euclidean. ΘΚΠ the world > relative properties > number > geometry > [noun] > branches of planimetrya1393 conic?a1560 helicosophy1570 stereometry1570 spheric1660 planometry1669 mensuration1704 polygonometry1791 analytical geometry1802 isoperimetry1811 analytic geometry1817 algebraic geometry1821 coordinate geometry1837 non-Euclidean geometry1872 differential geometry1877 pangeometry1878 projective geometry1878 metageometry1890 Riemann geometry1895 variable geometry1957 the world > relative properties > number > geometry > geometric space > [noun] > non-Euclidean hyperspace1867 curvature1873 Riemann space1894 non-Euclidean space1939 1872 Mathematische Ann. 5 630 The theory of Non-Euclidean Geometry as developed in Dr. Klein's paper ‘Über die Nicht-Euclidische Geometrie’ may be illustrated by showing how in such a system we actually measure a distance and an angle. 1878 S. Newcomb Pop. Astron. iv. iii. 505 Several geometrical systems have been constructed in recent times, which are included under the general appellation of the non-Euclidian Geometry. 1900 R. S. Ball Theory of Screws 439 The..basis of the mensuration of non-Euclidian space. 1939 G. Kron Tensor Anal. Networks p. xvi Tensor analysis may be considered as an extension and generalization of vector analysis from three- to n-dimensional spaces and from Euclidean to non-Euclidean spaces. 1956 E. H. Hutten Lang. Mod. Physics iii. 113 In the beginning of the 19th century..Bolyai, Lobatchevsky, and (later) Riemann demonstrated that other axiom systems could be constructed representing various kinds of non-Euclidean geometry. 1972 M. Kline Math. Thought xxxvi. 872 From about 1813 on Gauss developed his new geometry which he first called anti-Euclidean geometry, then astral geometry, and finally non-Euclidean geometry. 1990 Q. Jrnl. Math. 41 45 A generalisation to N.E.C. groups (Non-Euclidean crystallographic groups) is implicit. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < adj.1872
随便看	θ73954 θ73955 θ73956 θ73957 θ73958 θ73959 θ7396 θ73960 θ73961 θ73962 θ73963 θ73964 θ73965 θ73966 θ73967 θ73968 θ73969 θ7397 θ73970 θ73971 θ73972 θ73973 θ73974 θ73975 θ73977