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What propositions of non-Euclidean differ from Euclidean geometry?

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The results of these two types of non-Euclidean geometry are identical with those of Euclidean geometry in every respect except those propositions involving parallel lines, either explicitly or implicitly (as in the theorem for the sum of the angles of a triangle).

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Get more facts and information about non-Euclidean geometry . Or, view the full encyclopedia entry from The Columbia Encyclopedia, Sixth Edition.

Similar questions: What is involved in the propositions that distinguish non-Euclidean geometry from Euclidean geometry? How do Euclidean and non-Euclidean geometry differ? [ Hide these questions ]

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