What does elliptic geometry mean?
Definitions for elliptic geometry
el·lip·tic ge·om·e·t·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word elliptic geometry.
Princeton's WordNet
elliptic geometry, Riemannian geometrynoun
(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"
ChatGPT
elliptic geometry
Elliptic geometry is a type of non-Euclidean geometry that deals with the two-dimensional geometric properties of the surface of a sphere and generalizations of this concept. In elliptic geometry, the sum of the angles in a triangle exceeds 180 degrees, and there are no parallel lines - all lines eventually intersect. It is so named because of its connection to the curvature of elliptic curves. This geometric system contradicts certain aspects of Euclidean geometry, chiefly the concept of parallel lines and the Pythagorean theorem.
Wikidata
Elliptic geometry
Elliptic geometry is a non-Euclidean geometry, in which, given a line L and a point p outside L, there exists no line parallel to L passing through p. Elliptic geometry, like hyperbolic geometry, violates Euclid's parallel postulate, which can be interpreted as asserting that there is exactly one line parallel to L passing through p. In elliptic geometry, there are no parallel lines at all. Elliptic geometry has a variety of properties that differ from those of classical Euclidean plane geometry. For example, the sum of the angles of any triangle is always greater than 180°.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of elliptic geometry in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of elliptic geometry in Pythagorean Numerology is: 5
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"elliptic geometry." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/elliptic+geometry>.
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