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OverviewPlease note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Absolute geometry is a geometry based on an axiom system that does not assume the parallel postulate or any of its alternatives. The term was introduced by Janos Bolyai in 1832. It is sometimes referred to as neutral geometry, as it is neutral with respect to the parallel postulate. The theorems of absolute geometry hold in some non-Euclidean geometries, such as hyperbolic geometry, as well as in Euclidean geometry. Absolute geometry is an extension of ordered geometry, and thus, all theorems in ordered geometry hold in absolute geometry. The converse is not true. Absolute geometry assumes the first four of Euclid's Axioms, to be contrasted with affine geometry, which assumes Euclid's first, second, and fifth (parallel postulate) axioms. Ordered geometry is a common foundation of both absolute and affine geometry. Full Product DetailsAuthor: Othniel HermesPublisher: Betascript Publishing Imprint: Betascript Publishing Dimensions: Width: 15.20cm , Height: 0.50cm , Length: 22.90cm Weight: 0.148kg ISBN: 9786135771459ISBN 10: 6135771450 Pages: 92 Publication Date: 14 July 2011 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: Not yet available This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |