
Definition of Elliptic geometry
1. Noun. (mathematics) a nonEuclidean geometry that regards space as like a sphere and a line as like a great circle. "Bernhard Riemann pioneered elliptic geometry"
Category relationships: Math, Mathematics, Maths
Generic synonyms: Noneuclidean Geometry
Elliptic Geometry Pictures
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Lexicographical Neighbors of Elliptic Geometry
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. NonEuclidean 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. ..."