4) Consider three-dimensional Euclidcan space R with the usual Euclidean distance, definition of line, and angle measure. Show that this is not a model of Neutral Geometry by finding one of the six axioms which it docs not satisfy. Explain why it does not satisfy this axiom.
4) Consider three-dimensional Euclidcan space R with the usual Euclidean distance, definition of line, and angle measure. Show that this is not a model of Neutral Geometry by finding one of the six axioms which it docs not satisfy. Explain why it does not satisfy this axiom.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.3: Proving Lines Parallel
Problem 34E
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