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TeachMeFinance.com - explain non-Euclidean geometry non-Euclidean geometry The term 'non-Euclidean geometry' as it applies to the area of basic math can be defined as 'a geometry that contains an axiom which is equivalent to the negation of the Euclidean parallel postulate (e.g., Riemannian geometry is a non-Euclidean geometry using the statement, 'If is any line and is any point not on , then there are no lines through that are parallel to ' as its parallel postulate (also called elliptic geometry); and Hyperbolic geometry is a non-Euclidean geometry using the statement, 'If is any line and is any point not on , then there exists at least two lines through that are parallel to ' as its parallel postulate'. Previous 5 Terms: non-contextual problem Noncontributory Or Deemed Wage Credits Nonconventional plant (uranium) Nondedicated vehicle Non-Entity Assets Next 5 Terms: Non-Federal Agency Nonfirm commercial energy Nonfirm power Non-Formulary Drugs Nonfuel components About the author Mark McCracken Author: Mark McCracken is a corporate trainer and author living in Higashi Osaka, Japan. He is the author of thousands of online articles as well as the Business English textbook, "25 Business Skills in English". Copyright © 2005-2011 by Mark McCracken, All Rights Reserved. TeachMeFinance.com is an informational website, and should not be used as a substitute for professional medical, legal or financial advice. Information presented at TeachMeFinance.com is provided on an "AS-IS" basis. Please read the disclaimer for details.