Definition of Euclidean

1. Adjective. Relating to geometry as developed by Euclid. "Euclidian geometry"

Exact synonyms: Euclidian
Partainyms: Euclid, Euclid
Derivative terms: Euclid, Euclid

Definition of Euclidean

1. Adjective. (geometry) Adhering to the principles of traditional geometry, in which parallel lines are equidistant. ¹

2. Adjective. Of or relating to Euclid's ''Elements'', ''especially'' to Euclidean geometry. ¹

3. Adjective. (rare) (alternative spelling of Euclidean) ¹

¹ Source: wiktionary.com

Definition of Euclidean

1. [adj]

Lexicographical Neighbors of Euclidean

euchres
euchring
euchroic
euchroic acid
euchroite
euchromatic
euchromatin
euchromatins
euchrone
euchrœa
euchymy
euclase
euclases
euclid
euclidean (current term)
euclidian
euclidianness
eucolloid
eucopepoda
eucorticalism
eucrasia
eucrasy
eucrite
eucrites
eucritic
eucryptite
eucryptites
euctical

Literary usage of Euclidean

Below you will find example usage of this term as found in modern and/or classical literature:

1. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"euclidean spaces. DEFINITION. The set of all points of a pro• jective space* of n dimensions, with the exception of those oh a single (n — 1)•space S" ..."

2. Popular Science Monthly (1906)
"equally the intuitive idea of the side of the non-euclidean triangle. ... Evidently when we say that the euclidean straight is a true straight and that the ..."

3. Geometry of Riemannian Spaces by Elie Cartan (1983)
"The easiest way of determining the geometric properties of this space consists of an identification with euclidean space in any way possible. ..."

4. The Foundations of Science: Science and Hypothesis, The Value of Science by Henri Poincaré (1913)
"I grant, indeed, that I have the intuitive idea of the side of the euclidean triangle, but I have equally the intuitive idea of the side of ..."

5. The Value of Science by Henri Poincaré, George Bruce Halsted (1907)
"Evidently when we say that the euclidean straight is a true straight and that the non-euclidean straight is not a true straight, we simply mean that the ..."

6. The Principles of Mathematics by Bertrand Russell (1903)
"I shall instead give a definition of euclidean space. This I shall give in a form which is inappropriate when euclidean space is considered as the limit of ..."

7. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"In his day he was famous for clarifying the material of the non-euclidean geometries by showing that they could be interpreted in terms of "euclidean" ..."

8. Papers and Proceedings of the Annual Meeting by American Economic Association (1919)
"Probably the foremost non-euclidean economist is Professor Veblen, and his theory of ... What do I mean by non-euclidean economics in the present instance? ..."

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