non-Euclidean geometry
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non-Euclidean geometry

(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			Briefly, the three directions in which the Aristotelian system has been revised are: first, the Non-Euclidean geometries are shown to be valid for the (1946) actual four-dimensional space-time as against but including the Euclidean geometry, which is valid only for three-dimensional space. Retrospect by ETC.: A Review of General Semantics One of the modern versions of Flatland (see Abbott & Stewart 2002 for a list) Stewart's Flatterland contains descriptions of non-Euclidean geometries from topology to projective and fractal geometries, and conversational, question-and-answer explanations of phenomena such as black holes--regions of space-time from which nothing, not even light, can escape (Abbott & Stewart, 2002). Mathematical fiction: its place in secondary-school mathematics ... by Padula, Janice / Australian Mathematics Teacher Folded landscapes A great deal of rubbish has been talked about the liberating powers of the computer to allow non-Euclidean geometries to enable the construction of entirely new forms and spaces. City shifts: cities are continually in flux, but recent changes in ... by The Architectural Review			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 geometries 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-Equilibrium Boundary Layer Analysis 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 geometry 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

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non-Euclidean geometry (redirected from Non-euclidean geometries)

non-Euclidean geometry
(redirected from Non-euclidean geometries)