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euclidean geometry |
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Euclidean geometryStudy of points, lines, angles, surfaces, and solids based on Euclid's axioms. Its importance lies less in its results than in the systematic method Euclid used to develop and present them. This axiomatic method has been the model for many systems of rational thought, even outside mathematics, for over 2,000 years. From 10 axioms and postulates, Euclid deduced 465 theorems, or propositions, concerning aspects of plane and solid geometric figures. This work was long held to constitute an accurate description of the physical world and to provide a sufficient basis for understanding it. During the 19th century, rejection of some of Euclid's postulates resulted in two non-Euclidean geometries that proved just as valid and consistent. euclidean geometry [yü′klid·ē·ən jē′äm·ə·trē] (mathematics) The study of the properties preserved by isometries of two- and three-dimensional euclidean space. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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| It further entails, in fact, the atomistic conception of time and motion and the consequent rejection of the continuous Euclidean geometry of classical antiquity. These three places are all MADE and do not seek to describe the body but indicate its place, using the Euclidean geometry of architecture in an un-inscribed Arctic environment. The formula v*w = ||v|| ||w||cos ([theta]) links the algebra of vector coordinates to the Euclidean geometry of lengths and angles, and consequently is a key formula in basic mathematics that enters into numerous mathematical disciplines, both pure and applied. |
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