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.
| Identifer | oai:union.ndltd.org:DUETT/oai:DUETT:duett-06012001-100650 |
| Date | 01 June 2001 |
| Creators | Bushnaq, Jessica |
| Contributors | Prof. Dr. Hans Joachim Arnold |
| Publisher | Gerhard-Mercator-Universitaet Duisburg |
| Source Sets | Dissertations and other Documents of the Gerhard-Mercator-University Duisburg |
| Language | German |
| Detected Language | English |
| Type | text |
| Format | text/html, application/pdf |
| Source | http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-06012001-100650/ |
| Rights | unrestricted, 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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