**non-Euclidean** — 1874, from NON (Cf. non ) + EUCLIDEAN (Cf. Euclidean) … Etymology dictionary

**non-Euclidean** — [nän΄yo͞o klid′ē ən] adj. designating or of a geometry that rejects any of the postulates of Euclidean geometry, esp. the postulate that through a given point only one line can be drawn parallel to another line that does not contain the given… … English World dictionary

**non-euclidean** — adjective Usage: often capitalized E Date: 1872 not assuming or in accordance with all the postulates of Euclid s Elements < non euclidean geometry > … New Collegiate Dictionary

**non-Euclidean** — adjective of, or relating to non Euclidean geometry … Wiktionary

**non-Euclidean** — adj. Non Euclidean is used with these nouns: ↑geometry … Collocations dictionary

**non-Euclidean** — /non yooh klid ee euhn/, adj. differing from the postulates of Euclid or based upon postulates other than those of Euclid. [1870 75] * * * … Universalium

**Non-Euclidean geometry** — Behavior of lines with a common perpendicular in each of the three types of geometry Non Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate,… … Wikipedia

**non-Euclidean geometry** — geometry based upon one or more postulates that differ from those of Euclid, esp. from the postulate that only one line may be drawn through a given point parallel to a given line. [1870 75; NON + EUCLIDEAN] * * * Any theory of the nature of… … Universalium

**Non-Euclidean crystallographic group** — In mathematics, a non Euclidean crystallographic group, NEC group or N.E.C. group is a discrete group of isometries of the hyperbolic plane. These symmetry groups correspond to the wallpaper groups in euclidean geometry. A NEC group which… … Wikipedia

**non-Euclidean geometry** — noun (mathematics) geometry based on axioms different from Euclid s non Euclidean geometries discard or replace one or more of the Euclidean axioms • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry … Useful english dictionary