Definition of Elliptic geometry

1. Noun. (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle. "Bernhard Riemann pioneered elliptic geometry"

Exact synonyms: Riemannian Geometry
Category relationships: Math, Mathematics, Maths
Generic synonyms: Non-euclidean Geometry

Elliptic Geometry Pictures

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Lexicographical Neighbors of Elliptic Geometry

 ellipsoidalellipsoidal jointellipsoidallyellipsoidsellipsometerellipsometersellipsometricellipsometryellipsosomeellipt ellipticelliptic-lanceolateelliptic curveelliptic functionelliptic functionselliptic geometry (current term)elliptic leafellipticalelliptical amputationelliptical anastomosis elliptical galaxieselliptical galaxyelliptical recessellipticallyellipticalsellipticineellipticinesellipticitiesellipticityelliptization

Literary usage of Elliptic 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)
"Doable elliptic geometry. The geometry corresponding to the group of protective collineations transforming a sphere S* in a Euclidean three•space into ..."

2. A Treatise on Universal Algebra: With Applications by Alfred North Whitehead (1898)
"No special explanation is required for the antipodal form of elliptic geometry, since Xi + #2 is to bisect the distance between xl and x3, and x1 — or, ..."

3. Geometry of Riemannian Spaces by Elie Cartan (1983)
"TWO DIMENSIONAL elliptic geometry 119. Let us construct the geodesic representation of the sphere on a plane (P) by a projection made from the centre 0 of ..."

4. Science by American Association for the Advancement of Science (1902)
"In the single elliptic geometry the elliptic straight line does not divide the elliptic plane into ... This single elliptic geometry is never mentioned in ..."

5. The Encyclopædia Britannica: A Dictionary of Arts, Sciences, Literature and by Hugh Chisholm (1910)
"The constant y, which appears in the formulae both of hyperbolic and elliptic geometry, does not by its variation produce different types of geometry. ..."

6. Non-Euclidean Geometry by Henry Parker Manning (1901)
"CHAPTER III THE elliptic geometry IN the hypothesis of the obtuse angle a straight line is of finite length and returns into itself. ..."

7. Proceedings of the Cambridge Philosophical Society by Cambridge Philosophical Society (1900)
"... which occurs in the mathematical theory of statistics and in that of elliptic geometry of any number of dimensions. By ARTHUR BERRY, MA, King's College. ..."