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Beschreibung euklidischer Räume mit Hilfe von Abstandsrelativen - A description of Euclidean spaces with distance relatives

This paper describes a way to define Euclidean spaces with the help of relations. Directions and distances of the geometrie are regarded as relational groupings. Theorems about parallelograms and parrallelograms of distances are added as axioms. The axiomatic is then a description of an Euclidean geometrie.

Identiferoai:union.ndltd.org:DUETT/oai:DUETT:duett-06012001-100650
Date01 June 2001
CreatorsBushnaq, Jessica
ContributorsProf. Dr. Hans Joachim Arnold
PublisherGerhard-Mercator-Universitaet Duisburg
Source SetsDissertations and other Documents of the Gerhard-Mercator-University Duisburg
LanguageGerman
Detected LanguageEnglish
Typetext
Formattext/html, application/pdf
Sourcehttp://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-06012001-100650/
Rightsunrestricted, I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. Hiermit erteile ich der Universitaet Duisburg das nicht-ausschliessliche Recht unter den unten angegebenen Bedingungen, meine Dissertation, Staatsexamens- oder Diplomarbeit, meinen Forschungs- oder Projektbericht zu veroeffentlichen und zu archivieren. Ich behalte das Urheberrecht und das Recht das Dokument zu veroeffentlichen und in anderen Arbeiten weiterzuverwenden.

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