non-Euclidean geometry

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(Mathematics) the branch of modern geometry in which certain axioms of Euclidean geometry are restated. It introduces fundamental changes into the concept of space

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Noun

non-Euclidean geometry - (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

geometry - the pure mathematics of points and lines and curves and surfaces

hyperbolic geometry - (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane; "Karl Gauss pioneered hyperbolic geometry"

elliptic geometry, Riemannian geometry - (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"

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Bernhard Riemann elliptic geometry geometry Georg Friedrich Bernhard Riemann hyperbolic geometry Lobachevski Lobachevski Nikolai Ivanovich Lobachevsky math mathematics maths Nikolai Ivanovich Lobachevsky Riemann Riemannian Riemannian geometry			[ILLUSTRATION OMITTED] The Fifth Postulate: How Unraveling a Two-Thousand-Year-Old Mystery Unraveled the Universe Jason Socrates Bardi The story of the discovery of non-Euclidean geometry. Bookshelf by Science News Poet Omar Khayyam, writing in the twelfth century, laid the groundwork for non-Euclidean geometry. History of Mathematics by Ann Knapp / Reference and Education community Riemannian geometry is a non-Euclidean geometry that studies local properties of a smooth manifold. Region merging via graph-cuts by Stawiaski, Jean; Decenciere, Etienne / Image Analysis and Stereology			non-contagious non-contributory non-controversial non-conventional non-convertible non-cooperation non-cooperative non-cumulative non-dedicated file server non-delivery non-denominational non-discrimination non-discriminatory non-distinctive non-drinker non-drip non-durable non-dutiable Non-ego non-elective non-engagement Non-Episcopal non-essential non-EU non-Euclidean non-Euclidean geometry non-event non-executive non-existence non-existent non-expendable supplies and material non-fattening Non-feasance non-ferrous non-fiction non-finite non-flammable non-flowering plant non-fulfilment non-governmental non-Hodgkin's lymphoma non-impact printer non-inertial frame non-infectious non-inflammable non-insulin-dependent diabetes non-insulin-dependent diabetes mellitus non-intervention non-invertible non-involvement non-ionic detergent			Non-Equilibrium Brownian Dynamics Non-Equilibrium Capacitance Method Non-Equilibrium Evolutionary Economic Theory Non-Equilibrium Green Function Non-Equilibrium Molecular Dynamics Non-Equilibrium pH Gradient Electrophoresis Non-Equilibrium Simulated Annealing Non-Equilibrium Statistical Operator Method Non-Equilibrium Steady State Non-equilibrium thermodynamics Non-Equity Option Non-Equity Option Non-Equity Option Non-Equity Options Non-Erosive Reflux Disease Non-Erythrodermic Lamellar Ichthyosis Non-Erythroid/Non-Lymphocytic Cells non-esse non-essential Non-essential amino acid Non-essential amino acid Non-essential amino acid Non-essential amino acid Non-Essential Functional Failure Non-Established Non-Esterified Fatty Acids non-EU non-Euclidean Non-euclidean geometries Non-euclidean geometries non-Euclidean geometry Non-Euclidean space Non-Euclidean space Non-Euclidena geometry Non-Euclidena geometry Non-Euclidian geometry Non-Euclidian geometry Non-European Components of European Patrimony Non-European United Front Non-European Unity Movement Non-Evaporable Getter Pump Non-Evaporative Getter Non-event non-events Non-Exacerbated Chronic Disease Non-Exclusive Non-exclusive license Non-exclusive license Non-exclusive license Non-exclusive license Non-exclusive license Non-Exclusive Prospecting Licence Non-Exclusive, Royalty-Free non-executionary judgment non-executive Non-Executive Bills Unit Non-executive director Non-executive director Non-executive director Non-Executive Financial Director non-executives

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