Lexic.us

Definition of Euclidean geometry

1. Noun. (mathematics) geometry based on Euclid's axioms.

Definition of Euclidean geometry

1. Noun. (geometry) The familiar geometry of the real world, based on the postulate that through any two points there is exactly one straight line. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Euclidean Geometry

Literary usage of Euclidean geometry

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)
"It then follows that all the theorems of Euclidean geometry are true in the ... As a set of assumptions for Euclidean geometry of three dimensions we may ..."

2. Science by American Association for the Advancement of Science (1904)
"In this new or non-Euclidean geometry, on the contrary, the sum of the angles in every ... In this non-Euclidean geometry parallels continually approach. ..."

3. The American Mathematical Monthly by Mathematical Association of America (1901)
""This truth, really self-evident yet often not taken to heart, applied to Euclidean and non-Euclidean geometry, leads to the somewhat paradoxical result, ..."

4. Science by American Association for the Advancement of Science (1904)
"M. Barbarin has found constructions simple and novel for the regular polygons of 3, 6, 5, 10, 15 sides, applicable at the same time in Euclidean geometry ..."

5. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"... AND NON-Euclidean geometry IN R FROM THE KLEINIAN VIEWPOINT 1. INTRODUCTION Klein was a master at finding interrelations. In his day he was famous for ..."

6. The Encyclopedia Americana: A Library of Universal Knowledge (1919)
"In this a Non-Euclidean geometry is for the first time propounded without any logical misgivings. The system treated is the same as that of Lobachevsky. ..."

7. Geometry of Riemannian Spaces by Elie Cartan (1983)
"These spaces are furthermore said to be non—Euclidean; the geometry of these spaces is said to be non—Euclidean geometry. We shall commence with the simple ..."

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