Parallel postulate - Wikipedia, the free encyclopedia
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In geometry, the parallel postulate , also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements , is a distinctive axiom in Euclidean geometry. It states that: ...
en.wikipedia.org/wiki/Parallel_postulate
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Postulates in geometry are very similar to axioms, self-evident truths, and beliefs in logic, political philosophy and personal decision-making. The five postulates of Euclidean Geometry define the basic rules governing the creation and extension of geometric figures with ruler and compass.
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en.wikibooks.org/wiki/Geometry/Five_Postulates_of_Eucli...
en.wikibooks.org/wiki/Geometry/Five_Postulates_of_Euclidean_Geometry
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geometry postulates geometry basics free geometry types of angles measurement formulas: geometry postulates geometry help, geometry ... Euclid's postulates have been slightly corrected over a period of time. Some are listed here and continue to be part of 'Euclidean Geometry'. ;
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math.about.com/library/blpostulate.htm
math.about.com/library/blpostulate.htm
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Euclid himself used only the first four postulates ("absolute geometry") for ... realized that entirely self-consistent "non-Euclidean geometries" could be ...
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mathworld.wolfram.com/EuclidsPostulates.html
mathworld.wolfram.com/EuclidsPostulates.html
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In about 300 BC Euclid wrote The Elements, a book which was to become one of the most famous books ever written. Euclid stated five postulates on which he based all his theorems: ... Saccheri then studied the hypothesis of the acute angle and derived many theorems of non-Euclidean geometry without realising what he was doing.
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www.gap-system.org/~history/HistTopics/Non-Euclidean_ge...
www.gap-system.org/~history/HistTopics/Non-Euclidean_geometry.html
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Free euclidean geometry postulates Download at WareSeeker.com - Geometry Master 3 is a useful program which has multiple drawing shape tools. This is a geometry help software that enhances geometrical, spatial and drawing skills using drawing tools based on geometry worksheets via the computer screen. ... Geometry Stash...
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wareseeker.com/free-euclidean-geometry-postulates/
wareseeker.com/free-euclidean-geometry-postulates/
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Euclidean Geometr ... From Sir Thomas L. Heath's translation of Euclid's Elements; Postulates ... Let the following be postulated: 1. To draw a straight line from any point to any point. 2. To produce a finite straight line continuously in a straight line. 3. To describe a circle with any centre and distance.
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www.mtholyoke.edu/courses/jmorrow/euclid.html
www.mtholyoke.edu/courses/jmorrow/euclid.html
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Euclid's Postulates and Non-Euclidean Geometry HISTORY ... "The development of non-Euclidean geometry ; Euclid's "parallel postulate" PP --- the existence of a unique parallel to a fixed line through a fixed point --- defied many attempts to deduce it from the other axioms.
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www.hi.is/~joner/eaps/euclid1.htm
www.hi.is/~joner/eaps/euclid1.htm
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non-Euclidean geometry branch of geometry in which the fifth postulate of Euclidean geometry, which allows one and only one line parallel to a given line through a given external point, is replaced by one of two alternative postulates.
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qanda.encyclopedia.com/question/postulate-euclidean-geo...
qanda.encyclopedia.com/question/postulate-euclidean-geometry-rejected-non-euclidean-geometry-102097.html
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