Euclideanadj.

Brit.

/juːˈklɪdɪən/,

/juːklɪˈdiːən/, U.S.

/juˈklɪdiən/

Forms: Also Euclidian.

Etymology: < Latin Euclīdēus, Greek Εὐκλείδειος ( < Euclīdēs, Εὐκλείδης Euclid) + -an suffix.

Of or pertaining to Euclid; that is according to the principles of Euclid. Since the later 19th century Euclidean geometry has been used as the distinctive name of the geometry based on an acceptance of the axioms laid down by Euclid, as distinguished from the systems (constructed e.g. by Lobatchewsky, Grassmann, Riemann) which develop the consequences that would follow from the rejection of some of these. So also Euclidean space: the kind of space actually known to us, for which these axioms are valid, as opposed to hypothetical kinds of space for which one or more of the axioms would be false.

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

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

Euclidean space1883

flat space1883

1714 tr. I. Barrow Euclide's Elements (rev. ed.) Pref. The whole Euclidean work.

c1865 J. Wylde Circle of Sci. I. 551/2 Euclidean geometry tolerates no such imperfections.

1883 Standard No. 18464. 5 This abstruse discourse on Euclidian space and magnitudes of four dimensions.

1883 American 7 75 This would be their Euclidian geometry.

This entry has not yet been fully updated (first published 1891; most recently modified version published online March 2022).

单词	euclidean
释义	Euclideanadj. Brit. /juːˈklɪdɪən/, /juːklɪˈdiːən/, U.S. /juˈklɪdiən/ Forms: Also Euclidian. Etymology: < Latin Euclīdēus, Greek Εὐκλείδειος ( < Euclīdēs, Εὐκλείδης Euclid) + -an suffix. Of or pertaining to Euclid; that is according to the principles of Euclid. Since the later 19th century Euclidean geometry has been used as the distinctive name of the geometry based on an acceptance of the axioms laid down by Euclid, as distinguished from the systems (constructed e.g. by Lobatchewsky, Grassmann, Riemann) which develop the consequences that would follow from the rejection of some of these. So also Euclidean space: the kind of space actually known to us, for which these axioms are valid, as opposed to hypothetical kinds of space for which one or more of the axioms would be false. 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 the world > relative properties > number > geometry > geometric space > [noun] > Euclidean Euclidean space1883 flat space1883 1714 tr. I. Barrow Euclide's Elements (rev. ed.) Pref. The whole Euclidean work. c1865 J. Wylde Circle of Sci. I. 551/2 Euclidean geometry tolerates no such imperfections. 1883 Standard No. 18464. 5 This abstruse discourse on Euclidian space and magnitudes of four dimensions. 1883 American 7 75 This would be their Euclidian geometry. This entry has not yet been fully updated (first published 1891; most recently modified version published online March 2022). < adj.1714
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