Abstract:
This paper is a continuation of William Zell's thesis, A Model of Non-Euclidean Geometry in Three Dimensions. The purpose of that thesis was to show that the axioms of non-Euclidèan geometry are consistent if Euclidean geometry an& hence arithrnetic is consistent. Mr. Zell. discussed the axioms of connection and order arid the axiom of parallels, and we continue here with the topic of congruence and the axiom of Archimedes. Thus only consideration of the axiom of completeness remains to complete the model.
