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7 identifiers linking absolute geometry across the web's reference databases
7 identifiers linking absolute geometry across the web's reference databases
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Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally, this has meant using only the first four of Euclid's postulates. The term was introduced by János Bolyai in 1832. It is sometimes referred to as neutral geometry, as it is neutral with respect to the parallel postulate. The first four of Euclid's postulates are now known to be an insufficient basis for Euclidean geometry, so other systems are used instead.