Absolute geometry
Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally, this has meant using only the first four of Euclid's postulates, but since these are not sufficient as a basis of Euclidean geometry, other systems, such as Hilbert's axioms without the parallel axiom, are used. The term was introduced by János Bolyai in 1832. It is sometimes referred to as neutral geometry, as it is neutral with respect to the parallel postulate.
1823 in scienceAbsolute GeometryAbsolute planeAlgebraic geometryAristotle's axiomAxiomatic systemBasic geometryErdős–Mordell inequalityEuclidean geometryEuler's theorem in geometryExterior angle theoremFoundations of geometryGlossary of areas of mathematicsGlossary of classical algebraic geometryHilbert planeHyperbolic geometryJános BolyaiLimiting parallelList of first-order theoriesList of geometry topicsList of theoremsList of things named after David HilbertNeutral geometryNikolai DurovNon-Euclidean geometryOrdered geometryOutline of geometryParallel postulatePlayfair's axiomSaccheri–Legendre theoremSynthetic geometryTarski's axiomsTransversal (geometry)
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Absolute geometry
Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally, this has meant using only the first four of Euclid's postulates, but since these are not sufficient as a basis of Euclidean geometry, other systems, such as Hilbert's axioms without the parallel axiom, are used. The term was introduced by János Bolyai in 1832. It is sometimes referred to as neutral geometry, as it is neutral with respect to the parallel postulate.
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Absoluta geometrio estas geome ...... vitaj en absolutan geometrion.
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Absolute geometry is a geometr ...... ect to the parallel postulate.
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Absolute meetkunde (ook wel ne ...... ntroduceerd door János Bolyai.
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Geometri mutlak adalah geometr ...... nnya" dengan postulat paralel.
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Geometria absolutna jest geome ...... k i geometrii nieeuklidesowej.
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La geometria assoluta o neutra ...... ivo al V postulato di Euclide.
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La géométrie absolue (parfois ...... énoncé euclidien traditionnel.
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Se llama geometría absoluta al ...... ntroducido por Bolyai en 1832.
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S’anomena geometria absoluta a ...... duït per János Bolyai el 1832.
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Абсолютна геометрія — частина ...... ведена в абсолютній геометрії.
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Absolute Geometry
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AbsoluteGeometry
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Absoluta geometrio estas geome ...... vitaj en absolutan geometrion.
@eo
Absolute geometry is a geometr ...... ect to the parallel postulate.
@en
Absolute meetkunde (ook wel ne ...... ntroduceerd door János Bolyai.
@nl
Geometri mutlak adalah geometr ...... nnya" dengan postulat paralel.
@in
Geometria absolutna jest geome ...... k i geometrii nieeuklidesowej.
@pl
La geometria assoluta o neutra ...... ivo al V postulato di Euclide.
@it
La géométrie absolue (parfois ...... énoncé euclidien traditionnel.
@fr
Se llama geometría absoluta al ...... ntroducido por Bolyai en 1832.
@es
S’anomena geometria absoluta a ...... duït per János Bolyai el 1832.
@ca
Абсолютна геометрія — частина ...... ту протистоїть більша сторона.
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Absoluta geometrio
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Absolute Geometrie
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Absolute geometry
@en
Absolute meetkunde
@nl
Geometri mutlak
@in
Geometria absoluta
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Geometria absolutna
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Geometria assoluta
@it
Geometría absoluta
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Géométrie absolue
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