Foundations of geometry
Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean geometries. These are fundamental to the study and of historical importance, but there are a great many modern geometries that are not Euclidean which can be studied from this viewpoint. The term axiomatic geometry can be applied to any geometry that is developed from an axiom system, but is often used to mean Euclidean geometry studied from this point of view. The completeness and independence of general axiomatic systems are important mathematical considerations, but there are also issues to do with the teaching of geometry which come into play.
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A History of Folding in MathematicsAbsolute geometryAndrzej_GrzegorczykAristotle's axiomAxiomAxiomatic geometryBirkhoff's axiomsCoordinate-freeCrossbar theoremDavid HilbertEmil ArtinEuclidean geometryExterior angle theoremG. B. HalstedGeometric Exercises in Paper FoldingGeorg FeiglGino FanoGiuseppe PeanoHilbert's axiomsLotschnittaxiomMarch 1913Mario PieriMoritz PaschPoint (geometry)Primitive notionRigourSaunders Mac LaneSchool Mathematics Study GroupSum of angles of a triangleSynthetic geometryWanda Szmielew
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Foundations of geometry
Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean geometries. These are fundamental to the study and of historical importance, but there are a great many modern geometries that are not Euclidean which can be studied from this viewpoint. The term axiomatic geometry can be applied to any geometry that is developed from an axiom system, but is often used to mean Euclidean geometry studied from this point of view. The completeness and independence of general axiomatic systems are important mathematical considerations, but there are also issues to do with the teaching of geometry which come into play.
has abstract
Foundations of geometry is the ...... geometry which come into play.
@en
Основания геометрии — область ...... просом преподавания геометрии.
@ru
幾何学基礎論(きかがくきそろん、英: foundation ...... ド幾何学の公理系を最も厳密に吟味した著作としても有名である。
@ja
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id
Pasch
@en
Peano
@en
Pieri
@en
title
Giuseppe Peano
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Mario Pieri
@en
Moritz Pasch
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wikiPageUsesTemplate
hypernym
comment
Foundations of geometry is the ...... geometry which come into play.
@en
Основания геометрии — область ...... просом преподавания геометрии.
@ru
幾何学基礎論(きかがくきそろん、英: foundation ...... ド幾何学の公理系を最も厳密に吟味した著作としても有名である。
@ja
label
Foundations of geometry
@en
Основания геометрии
@ru
幾何学基礎論
@ja