Record Details

A model of Non-Euclidean geometry in three dimensions

ScholarsArchive at Oregon State University

Field Value
Title A model of Non-Euclidean geometry in three dimensions
Names Zell, William Lee (creator)
Goheen, Harry (advisor)
Date Issued 1966-07-27 (iso8601)
Note Graduation date: 1967
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.
Genre Thesis/Dissertation
Topic Geometry, Non-Euclidean
Identifier http://hdl.handle.net/1957/47248

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