Euclidean spaces
type: Item
instance of: scholarly article
title: Euclidean spaces
zbMATH Open document ID: 0879.51010
DOI: 10.1007/BF01222938
author: Georg Richter
author: Rudolf Schnabel
published in: Journal of Geometry
publication date: 1997-04-16T00:00:00Z
review text: The authors give a system of three axioms which concern a set of points and a congruence relation on the set of pairs of points. ``The aim is to establish a 3-dimensional metric vector space over a field of characteristic \(\neq 2\), whose bilinear form provides an algebraic description of the congruence relation''.
reviewed by: Ágota H. Temesvári
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A63
zbMATH DE Number: 1000356
zbMATH Keywords: Euclidean space
zbMATH Keywords: congruence relation
zbMATH Keywords: algebraic description
MaRDI profile type: Publication
cites work: Q5662517
cites work: Pseudo-Euklidische Ebenen und Euklidische Räume
cites work: Q3326328
cites work: Eine Kennzeichnung der regulären euklidischen Geometrien
full work available at URL: https://doi.org/10.1007/bf01222938
OpenAlex ID: W4229964789
description: scientific article; zbMATH DE number 1000356