parallel axiom

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Related to Parallel postulate: Euclid's fifth axiom
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Noun1.parallel axiom - only one line can be drawn through a point parallel to another line
Euclidean axiom, Euclid's axiom, Euclid's postulate - (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
References in periodicals archive ?
The book consists of several sections on the parallel postulate (Book I), on the Euclidean definition of ratios and the Anthyphairetic ratio (modern continued fractions) (Book II), and on the multiplication of ratios (Book III).
Other topics include the history of the parallel postulate, the development of logics between the two World Wars, the foundation period in the history of group theory, and a popular account of some new fields of thought in mathematics.
Why did mathematicians feel the need to deduce the parallel postulate from the other axioms of geometry?

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