Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Beltrami–Klein_model> ?p ?o }
- Beltrami–Klein_model abstract "In geometry, the Beltrami–Klein model, also called the projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit disk (or n-dimensional unit ball) and lines are represented by the chords, straight line segments with ideal endpoints on the boundary sphere.The Beltrami–Klein model is named after the Italian geometer Eugenio Beltrami and the German Felix Klein while \"Cayley\" in Cayley–Klein model refers to the English geometer Arthur Cayley.The Beltrami–Klein model is analogous to the gnomonic projection of spherical geometry, in that geodesics (great circles in spherical geometry) are mapped to straight lines.This model is not conformal, meaning that angles and circles are distorted, whereas the Poincaré disk model preserves these.In this model, lines and segments are straight Euclidean segments, whereas in the Poincaré disk model, lines are arcs that meet the boundary orthogonally.".
- Beltrami–Klein_model thumbnail Klein_model.svg?width=300.
- Beltrami–Klein_model wikiPageExternalLink ICCSA.2010.37.
- Beltrami–Klein_model wikiPageID "4792791".
- Beltrami–Klein_model wikiPageLength "20188".
- Beltrami–Klein_model wikiPageOutDegree "117".
- Beltrami–Klein_model wikiPageRevisionID "694339103".
- Beltrami–Klein_model wikiPageWikiLink Arc_(geometry).
- Beltrami–Klein_model wikiPageWikiLink Arthur_Cayley.
- Beltrami–Klein_model wikiPageWikiLink Bisection.
- Beltrami–Klein_model wikiPageWikiLink Category:Hyperbolic_geometry.
- Beltrami–Klein_model wikiPageWikiLink Cayley–Klein_metric.
- Beltrami–Klein_model wikiPageWikiLink Chord_(geometry).
- Beltrami–Klein_model wikiPageWikiLink Compass-and-straightedge_construction.
- Beltrami–Klein_model wikiPageWikiLink Conformal_map.
- Beltrami–Klein_model wikiPageWikiLink Cross-ratio.
- Beltrami–Klein_model wikiPageWikiLink Diameter.
- Beltrami–Klein_model wikiPageWikiLink Disk_(mathematics).
- Beltrami–Klein_model wikiPageWikiLink Ellipse.
- Beltrami–Klein_model wikiPageWikiLink Equiconsistency.
- Beltrami–Klein_model wikiPageWikiLink Euclidean_geometry.
- Beltrami–Klein_model wikiPageWikiLink Euclidean_space.
- Beltrami–Klein_model wikiPageWikiLink Eugenio_Beltrami.
- Beltrami–Klein_model wikiPageWikiLink Felix_Klein.
- Beltrami–Klein_model wikiPageWikiLink File:Klein_model.png.
- Beltrami–Klein_model wikiPageWikiLink Gaussian_curvature.
- Beltrami–Klein_model wikiPageWikiLink Geodesic.
- Beltrami–Klein_model wikiPageWikiLink Gnomonic_projection.
- Beltrami–Klein_model wikiPageWikiLink Great_circle.
- Beltrami–Klein_model wikiPageWikiLink Gyrovector_space.
- Beltrami–Klein_model wikiPageWikiLink Horocycle.
- Beltrami–Klein_model wikiPageWikiLink Hyperbolic_geometry.
- Beltrami–Klein_model wikiPageWikiLink Hyperboloid_model.
- Beltrami–Klein_model wikiPageWikiLink Hypercycle_(hyperbolic_geometry).
- Beltrami–Klein_model wikiPageWikiLink Ideal_point.
- Beltrami–Klein_model wikiPageWikiLink Inversive_geometry.
- Beltrami–Klein_model wikiPageWikiLink Karl_Weierstrass.
- Beltrami–Klein_model wikiPageWikiLink Limiting_parallel.
- Beltrami–Klein_model wikiPageWikiLink Line_(geometry).
- Beltrami–Klein_model wikiPageWikiLink Luis_Santaló.
- Beltrami–Klein_model wikiPageWikiLink Metric_(mathematics).
- Beltrami–Klein_model wikiPageWikiLink Metric_tensor.
- Beltrami–Klein_model wikiPageWikiLink Midpoint.
- Beltrami–Klein_model wikiPageWikiLink Minkowski_space.
- Beltrami–Klein_model wikiPageWikiLink Natural_logarithm.
- Beltrami–Klein_model wikiPageWikiLink Nikolai_Lobachevsky.
- Beltrami–Klein_model wikiPageWikiLink Non-Euclidean_geometry.
- Beltrami–Klein_model wikiPageWikiLink Norm_(mathematics).
- Beltrami–Klein_model wikiPageWikiLink Orthogonality.
- Beltrami–Klein_model wikiPageWikiLink Orthographic_projection.
- Beltrami–Klein_model wikiPageWikiLink Perpendicular.
- Beltrami–Klein_model wikiPageWikiLink Poincaré_disk_model.
- Beltrami–Klein_model wikiPageWikiLink Poincaré_half-plane_model.
- Beltrami–Klein_model wikiPageWikiLink Poincaré_metric.
- Beltrami–Klein_model wikiPageWikiLink Pole_and_polar.
- Beltrami–Klein_model wikiPageWikiLink Projective_geometry.
- Beltrami–Klein_model wikiPageWikiLink Reflection_(mathematics).
- Beltrami–Klein_model wikiPageWikiLink Right_angle.
- Beltrami–Klein_model wikiPageWikiLink Spherical_geometry.
- Beltrami–Klein_model wikiPageWikiLink Stereographic_projection.
- Beltrami–Klein_model wikiPageWikiLink Ultraparallel_theorem.
- Beltrami–Klein_model wikiPageWikiLink Unit_disk.
- Beltrami–Klein_model wikiPageWikiLink Unit_sphere.
- Beltrami–Klein_model wikiPageWikiLink Velocity-addition_formula.
- Beltrami–Klein_model wikiPageWikiLink Well-defined.
- Beltrami–Klein_model wikiPageWikiLink File:Hyperbolic_orthogonal_dodecahedral_honeycomb.png.
- Beltrami–Klein_model wikiPageWikiLink File:KleinToPoincare.png.
- Beltrami–Klein_model wikiPageWikiLink File:Klein_model.svg.
- Beltrami–Klein_model wikiPageWikiLink File:Klein_model_Circles.png.
- Beltrami–Klein_model wikiPageWikiLink File:Relation5models.png.
- Beltrami–Klein_model wikiPageWikiLink File:Uniform_tiling_73-t1_klein.png.
- Beltrami–Klein_model wikiPageWikiLinkText "Beltrami–Klein model".
- Beltrami–Klein_model wikiPageWikiLinkText "Beltrami–Klein model".
- Beltrami–Klein_model wikiPageWikiLinkText "hyperbolic geometry".
- Beltrami–Klein_model wikiPageWikiLinkText "the Beltrami–Klein model's relation to the Poincaré disk model".
- Beltrami–Klein_model wikiPageWikiLinkText "the Beltrami–Klein model's relation to the hyperboloid model".
- Beltrami–Klein_model wikiPageUsesTemplate Template:Abs.
- Beltrami–Klein_model wikiPageUsesTemplate Template:Cite_book.
- Beltrami–Klein_model wikiPageUsesTemplate Template:Cite_news.
- Beltrami–Klein_model wikiPageUsesTemplate Template:Commons_category.
- Beltrami–Klein_model wikiPageUsesTemplate Template:Main.
- Beltrami–Klein_model wikiPageUsesTemplate Template:Reflist.
- Beltrami–Klein_model wikiPageUsesTemplate Template:See_also.
- Beltrami–Klein_model subject Category:Hyperbolic_geometry.
- Beltrami–Klein_model hypernym Model.
- Beltrami–Klein_model type Person.
- Beltrami–Klein_model type Redirect.
- Beltrami–Klein_model type Surface.
- Beltrami–Klein_model type Thing.
- Beltrami–Klein_model comment "In geometry, the Beltrami–Klein model, also called the projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit disk (or n-dimensional unit ball) and lines are represented by the chords, straight line segments with ideal endpoints on the boundary sphere.The Beltrami–Klein model is named after the Italian geometer Eugenio Beltrami and the German Felix Klein while \"Cayley\" in Cayley–Klein model refers to the English geometer Arthur Cayley.The Beltrami–Klein model is analogous to the gnomonic projection of spherical geometry, in that geodesics (great circles in spherical geometry) are mapped to straight lines.This model is not conformal, meaning that angles and circles are distorted, whereas the Poincaré disk model preserves these.In this model, lines and segments are straight Euclidean segments, whereas in the Poincaré disk model, lines are arcs that meet the boundary orthogonally.".
- Beltrami–Klein_model label "Beltrami–Klein model".
- Beltrami–Klein_model seeAlso Cayley–Klein_metric.
- Beltrami–Klein_model seeAlso Compass-and-straightedge_construction.
- Beltrami–Klein_model sameAs Q1189065.
- Beltrami–Klein_model sameAs Beltrami-Klein-Modell.
- Beltrami–Klein_model sameAs Modèle_de_Klein.
- Beltrami–Klein_model sameAs Modello_di_Klein.
- Beltrami–Klein_model sameAs 벨트라미-클라인_모형.
- Beltrami–Klein_model sameAs m.0cnkxv.
- Beltrami–Klein_model sameAs Модель_Клейна.