Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Geometry> ?p ?o }
- Geometry abstract "Geometry (from the Ancient Greek: γεωμετρία; geo- \"earth\", -metron \"measurement\") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of formal mathematical science emerging in the West as early as Thales (6th century BC). By the 3rd century BC, geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially as it relates to mapping the positions of stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. In the classical world, both geometry and astronomy were considered to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master.The introduction of coordinates by René Descartes and the concurrent developments of algebra marked a new stage for geometry, since geometric figures such as plane curves could now be represented analytically in the form of functions and equations. This played a key role in the emergence of infinitesimal calculus in the 17th century. Furthermore, the theory of perspective showed that there is more to geometry than just the metric properties of figures: perspective is the origin of projective geometry. The subject of geometry was further enriched by the study of the intrinsic structure of geometric objects that originated with Euler and Gauss and led to the creation of topology and differential geometry.In Euclid's time, there was no clear distinction between physical and geometrical space. Since the 19th-century discovery of non-Euclidean geometry, the concept of space has undergone a radical transformation and raised the question of which geometrical space best fits physical space.With the rise of formal mathematics in the 20th century, 'space' (whether 'point', 'line', or 'plane') lost its intuitive contents, so today one has to distinguish between physical space, geometrical spaces (in which 'space', 'point' etc. still have their intuitive meanings) and abstract spaces.Contemporary geometry considers manifolds, spaces that are considerably more abstract than the familiar Euclidean space, which they only approximately resemble at small scales. These spaces may be endowed with additional structure which allow one to speak about length. Modern geometry has many ties to physics as is exemplified by the links between pseudo-Riemannian geometry and general relativity. One of the youngest physical theories, string theory, is also very geometric in flavour.While the visual nature of geometry makes it initially more accessible than other mathematical areas such as algebra or number theory, geometric language is also used in contexts far removed from its traditional, Euclidean provenance (for example, in fractal geometry and algebraic geometry).".
- Geometry thumbnail Teorema_de_desargues.svg?width=300.
- Geometry wikiPageExternalLink geometry-finitism.
- Geometry wikiPageExternalLink JavaGSPLinks.htm.
- Geometry wikiPageExternalLink geom.html.
- Geometry wikiPageExternalLink coll.geometry.html.
- Geometry wikiPageExternalLink k12.geometry.html.
- Geometry wikiPageExternalLink geometry.
- Geometry wikiPageExternalLink 1.
- Geometry wikiPageExternalLink www.8foxes.com.
- Geometry wikiPageExternalLink event.asp?PageId=45&EventId=618.
- Geometry wikiPageExternalLink topic.html.
- Geometry wikiPageExternalLink california-standards-test-geometry.
- Geometry wikiPageExternalLink tour_geo.html.
- Geometry wikiPageExternalLink www.mathopenref.com.
- Geometry wikiPageExternalLink 8952.
- Geometry wikiPageID "18973446".
- Geometry wikiPageLength "37985".
- Geometry wikiPageOutDegree "322".
- Geometry wikiPageRevisionID "707747355".
- Geometry wikiPageWikiLink Al-Mahani.
- Geometry wikiPageWikiLink Albert_Einstein.
- Geometry wikiPageWikiLink Alexander_Grothendieck.
- Geometry wikiPageWikiLink Algebra.
- Geometry wikiPageWikiLink Algebraic_curve.
- Geometry wikiPageWikiLink Algebraic_geometry.
- Geometry wikiPageWikiLink Algebraic_surface.
- Geometry wikiPageWikiLink Algebraic_topology.
- Geometry wikiPageWikiLink Alhazen.
- Geometry wikiPageWikiLink Alphons.
- Geometry wikiPageWikiLink Analytic_geometry.
- Geometry wikiPageWikiLink Analytic–synthetic_distinction.
- Geometry wikiPageWikiLink Ancient_Egypt.
- Geometry wikiPageWikiLink Ancient_Egyptian_mathematics.
- Geometry wikiPageWikiLink Ancient_Greece.
- Geometry wikiPageWikiLink Archimedean_spiral.
- Geometry wikiPageWikiLink Archimedes.
- Geometry wikiPageWikiLink Area.
- Geometry wikiPageWikiLink Area_of_a_disk.
- Geometry wikiPageWikiLink Arithmetic.
- Geometry wikiPageWikiLink Aryabhata.
- Geometry wikiPageWikiLink Aryabhatiya.
- Geometry wikiPageWikiLink Astronomy.
- Geometry wikiPageWikiLink Axiom.
- Geometry wikiPageWikiLink Axiomatic_system.
- Geometry wikiPageWikiLink Babylonian_mathematics.
- Geometry wikiPageWikiLink Bakhshali_manuscript.
- Geometry wikiPageWikiLink Bernhard_Riemann.
- Geometry wikiPageWikiLink Brahmagupta.
- Geometry wikiPageWikiLink Brane.
- Geometry wikiPageWikiLink Brāhmasphuṭasiddhānta.
- Geometry wikiPageWikiLink Calculus.
- Geometry wikiPageWikiLink Carl_Friedrich_Gauss.
- Geometry wikiPageWikiLink Cartesian_coordinate_system.
- Geometry wikiPageWikiLink Category:Algebraic_geometers.
- Geometry wikiPageWikiLink Category:Differential_geometers.
- Geometry wikiPageWikiLink Category:Geometers.
- Geometry wikiPageWikiLink Category:Geometry.
- Geometry wikiPageWikiLink Category:Topologists.
- Geometry wikiPageWikiLink Celestial_sphere.
- Geometry wikiPageWikiLink Circle.
- Geometry wikiPageWikiLink Circumference.
- Geometry wikiPageWikiLink Classical_mechanics.
- Geometry wikiPageWikiLink Cohomology.
- Geometry wikiPageWikiLink Collineation.
- Geometry wikiPageWikiLink Combinatorics.
- Geometry wikiPageWikiLink Compass_(drawing_tool).
- Geometry wikiPageWikiLink Complex_analysis.
- Geometry wikiPageWikiLink Complex_geometry.
- Geometry wikiPageWikiLink Computational_geometry.
- Geometry wikiPageWikiLink Computer_graphics.
- Geometry wikiPageWikiLink Congruence_(geometry).
- Geometry wikiPageWikiLink Conic_section.
- Geometry wikiPageWikiLink Construction.
- Geometry wikiPageWikiLink Convex_geometry.
- Geometry wikiPageWikiLink Coordinate_system.
- Geometry wikiPageWikiLink Coxeter_group.
- Geometry wikiPageWikiLink Crystallography.
- Geometry wikiPageWikiLink Curvature.
- Geometry wikiPageWikiLink Curve.
- Geometry wikiPageWikiLink Cyclic_quadrilateral.
- Geometry wikiPageWikiLink Cylinder_(geometry).
- Geometry wikiPageWikiLink David_Hilbert.
- Geometry wikiPageWikiLink Descriptive_geometry.
- Geometry wikiPageWikiLink Differentiable_manifold.
- Geometry wikiPageWikiLink Differential_geometry.
- Geometry wikiPageWikiLink Differential_topology.
- Geometry wikiPageWikiLink Dimension.
- Geometry wikiPageWikiLink Dimension_theory.
- Geometry wikiPageWikiLink Diophantine_equation.
- Geometry wikiPageWikiLink Discrete_geometry.
- Geometry wikiPageWikiLink Discrete_group.
- Geometry wikiPageWikiLink Displacement_(vector).
- Geometry wikiPageWikiLink Duality_(projective_geometry).
- Geometry wikiPageWikiLink Dynamical_system.
- Geometry wikiPageWikiLink Edwin_Abbott_Abbott.
- Geometry wikiPageWikiLink Equation.
- Geometry wikiPageWikiLink Erlangen_program.
- Geometry wikiPageWikiLink Euclid.
- Geometry wikiPageWikiLink Euclidean_geometry.