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Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Spherical_geometry> ?p ?o }

• Spherical_geometry abstract "Spherical geometry is the geometry of the two-dimensional surface of a sphere. It is an example of a geometry that is not Euclidean. Two practical applications of the principles of spherical geometry are to navigation and astronomy.In plane geometry the basic concepts are points and (straight) lines. On the sphere, points are defined in the usual sense. The equivalents of lines are not defined in the usual sense of \"straight line\" in Euclidean geometry but in the sense of \"the shortest paths between points,\" which are called geodesics. On the sphere the geodesics are the great circles; other geometric concepts are defined as in plane geometry but with straight lines replaced by great circles. Thus, in spherical geometry angles are defined between great circles, resulting in a spherical trigonometry that differs from ordinary trigonometry in many respects; for example, the sum of the interior angles of a triangle exceeds 180 degrees.Spherical geometry is not elliptic geometry but shares with that geometry the property that a line has no parallels through a given point. Contrast this with Euclidean geometry, in which a line has one parallel through a given point, and hyperbolic geometry, in which a line has two parallels and an infinite number of ultraparallels through a given point.An important geometry related to that of the sphere is that of the real projective plane; it is obtained by identifying antipodal points (pairs of opposite points) on the sphere. (This is elliptic geometry.) Locally, the projective plane has all the properties of spherical geometry, but it has different global properties. In particular, it is non-orientable, or one-sided.Concepts of spherical geometry may also be applied to the oblong sphere, though minor modifications must be implemented on certain formulas.Higher-dimensional spherical geometries exist; see elliptic geometry.".
• Spherical_geometry thumbnail Triangles_(spherical_geometry).jpg?width=300.
• Spherical_geometry wikiPageExternalLink sphere.
• Spherical_geometry wikiPageExternalLink navigation_triangles.html.
• Spherical_geometry wikiPageExternalLink sphaerica.
• Spherical_geometry wikiPageID "174026".
• Spherical_geometry wikiPageLength "11269".
• Spherical_geometry wikiPageOutDegree "49".
• Spherical_geometry wikiPageRevisionID "696156588".
• Spherical_geometry wikiPageWikiLink Al-Andalus.
• Spherical_geometry wikiPageWikiLink Angle.
• Spherical_geometry wikiPageWikiLink Antipodal_point.
• Spherical_geometry wikiPageWikiLink Astronomy.
• Spherical_geometry wikiPageWikiLink Autolycus_of_Pitane.
• Spherical_geometry wikiPageWikiLink Category:Classical_geometry.
• Spherical_geometry wikiPageWikiLink Category:Spherical_astronomy.
• Spherical_geometry wikiPageWikiLink Category:Spherical_geometry.
• Spherical_geometry wikiPageWikiLink Category:Spherical_trigonometry.
• Spherical_geometry wikiPageWikiLink Dimension.
• Spherical_geometry wikiPageWikiLink Elliptic_geometry.
• Spherical_geometry wikiPageWikiLink Euclidean_geometry.
• Spherical_geometry wikiPageWikiLink File:Triangles_(spherical_geometry).jpg.
• Spherical_geometry wikiPageWikiLink Geodesic.
• Spherical_geometry wikiPageWikiLink Geometry.
• Spherical_geometry wikiPageWikiLink Gerolamo_Cardano.
• Spherical_geometry wikiPageWikiLink Great-circle_distance.
• Spherical_geometry wikiPageWikiLink Great_circle.
• Spherical_geometry wikiPageWikiLink Greek_mathematics.
• Spherical_geometry wikiPageWikiLink Half-side_formula.
• Spherical_geometry wikiPageWikiLink Hyperbolic_geometry.
• Spherical_geometry wikiPageWikiLink Ibn_Muʿādh_al-Jayyānī.
• Spherical_geometry wikiPageWikiLink Jabir_ibn_Aflah.
• Spherical_geometry wikiPageWikiLink Line_(geometry).
• Spherical_geometry wikiPageWikiLink Lénárt_sphere.
• Spherical_geometry wikiPageWikiLink Menelaus_of_Alexandria.
• Spherical_geometry wikiPageWikiLink Menelaus_theorem.
• Spherical_geometry wikiPageWikiLink Navigation.
• Spherical_geometry wikiPageWikiLink Non-Euclidean_geometry.
• Spherical_geometry wikiPageWikiLink Orientability.
• Spherical_geometry wikiPageWikiLink Parallel_postulate.
• Spherical_geometry wikiPageWikiLink Point_(geometry).
• Spherical_geometry wikiPageWikiLink Princeton_University_Press.
• Spherical_geometry wikiPageWikiLink Real_projective_plane.
• Spherical_geometry wikiPageWikiLink Regiomontanus.
• Spherical_geometry wikiPageWikiLink Rice_University.
• Spherical_geometry wikiPageWikiLink Sphaerics.
• Spherical_geometry wikiPageWikiLink Sphere.
• Spherical_geometry wikiPageWikiLink Spherical_polyhedron.
• Spherical_geometry wikiPageWikiLink Spherical_trigonometry.
• Spherical_geometry wikiPageWikiLink Theodosius_of_Bithynia.
• Spherical_geometry wikiPageWikiLink Triangle.
• Spherical_geometry wikiPageWikiLink Trigonometry.
• Spherical_geometry wikiPageWikiLink Versor.
• Spherical_geometry wikiPageWikiLinkText "Spherical geometry".
• Spherical_geometry wikiPageWikiLinkText "sphere".
• Spherical_geometry wikiPageWikiLinkText "spherical geometries".
• Spherical_geometry wikiPageWikiLinkText "spherical geometry".
• Spherical_geometry wikiPageWikiLinkText "spherical model".
• Spherical_geometry wikiPageWikiLinkText "spherical universe".
• Spherical_geometry wikiPageWikiLinkText "spherical".
• Spherical_geometry title "Spherical Geometry".
• Spherical_geometry urlname "SphericalGeometry".
• Spherical_geometry wikiPageUsesTemplate Template:Authority_control.
• Spherical_geometry wikiPageUsesTemplate Template:Citation.
• Spherical_geometry wikiPageUsesTemplate Template:Cite_book.
• Spherical_geometry wikiPageUsesTemplate Template:Commons_category.
• Spherical_geometry wikiPageUsesTemplate Template:Distinguish2.
• Spherical_geometry wikiPageUsesTemplate Template:Mathworld.
• Spherical_geometry wikiPageUsesTemplate Template:Reflist.
• Spherical_geometry wikiPageUsesTemplate Template:See_also.
• Spherical_geometry subject Category:Classical_geometry.
• Spherical_geometry subject Category:Spherical_astronomy.
• Spherical_geometry subject Category:Spherical_geometry.
• Spherical_geometry subject Category:Spherical_trigonometry.
• Spherical_geometry hypernym Geometry.
• Spherical_geometry type Software.
• Spherical_geometry type Thing.
• Spherical_geometry comment "Spherical geometry is the geometry of the two-dimensional surface of a sphere. It is an example of a geometry that is not Euclidean. Two practical applications of the principles of spherical geometry are to navigation and astronomy.In plane geometry the basic concepts are points and (straight) lines. On the sphere, points are defined in the usual sense.".
• Spherical_geometry label "Spherical geometry".
• Spherical_geometry seeAlso Mathematics.
• Spherical_geometry seeAlso Medieval_Islam.
• Spherical_geometry differentFrom Non-Euclidean_geometry.
• Spherical_geometry sameAs Q326905.
• Spherical_geometry sameAs هندسة_كروية.
• Spherical_geometry sameAs Geometria_esfèrica.
• Spherical_geometry sameAs Sférická_geometrie.
• Spherical_geometry sameAs Сфера_геометрийĕ.
• Spherical_geometry sameAs Sphärische_Geometrie.
• Spherical_geometry sameAs Σφαιρική_γεωμετρία.
• Spherical_geometry sameAs Geometría_esférica.
• Spherical_geometry sameAs هندسه_کروی.
• Spherical_geometry sameAs Géométrie_sphérique.
• Spherical_geometry sameAs Cruinneadaireachd.
• Spherical_geometry sameAs גאומטריה_ספירית.
• Spherical_geometry sameAs गोलीय_ज्यामिति.
• Spherical_geometry sameAs Gömbi_geometria.
• Spherical_geometry sameAs Ոլորտային_երկրաչափություն.
• Spherical_geometry sameAs Geometri_bola.
• Spherical_geometry sameAs Geometria_sferica.
• Spherical_geometry sameAs 球面幾何学.

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