A model of Non-Euclidean geometry in three dimensions

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rr172130m

Descriptions

Attribute Name	Values
Creator	Zell, William Lee
Abstract	In this paper we present a model of Non-Euclidean geometry in three dimensions. This will show that the axioms of Non-Euclidean geometry are consistent if Euclidean geometry and, hence, arithmetic is consistent. However, the model is incomplete for we have not included the topic of congruence, the axiom of Archimedes, nor the axiom of completeness.
Resource Type	Masters Thesis
Date Available	2014-04-14T15:25:41+00:00
Date Issued	1966-07-27
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1967
Advisor	Goheen, Harry
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Geometry, Non-Euclidean
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/47248

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