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- Cayley–Klein_metric abstract "In mathematics, a Cayley–Klein metric is a metric on the complement of a fixed quadric in a projective space is defined using a cross-ratio. The construction originated with Arthur Cayley's essay \"On the theory of distance\" where he calls the quadric the absolute. The construction was developed in further detail by Felix Klein in papers in 1871 and 1873, and in his book Vorlesungen über Nicht-Euklidischen Geometrie(1928). The Cayley–Klein metrics are a unifying idea in geometry since the method is used to provide metrics in hyperbolic geometry, elliptic geometry, and Euclidean geometry. The field of non-Euclidean geometry rests largely on the footing provided by Cayley–Klein metrics.".
- Cayley–Klein_metric wikiPageExternalLink books?id=MjVgeT7Laf8C.
- Cayley–Klein_metric wikiPageExternalLink LipkinPhdChapter3.pdf.
- Cayley–Klein_metric wikiPageExternalLink 1263316509.
- Cayley–Klein_metric wikiPageID "30794512".
- Cayley–Klein_metric wikiPageLength "7259".
- Cayley–Klein_metric wikiPageOutDegree "44".
- Cayley–Klein_metric wikiPageRevisionID "699070783".
- Cayley–Klein_metric wikiPageWikiLink Alfred_North_Whitehead.
- Cayley–Klein_metric wikiPageWikiLink Arthur_Cayley.
- Cayley–Klein_metric wikiPageWikiLink Beltrami–Klein_model.
- Cayley–Klein_metric wikiPageWikiLink Cambridge_University_Press.
- Cayley–Klein_metric wikiPageWikiLink Category:Metric_geometry.
- Cayley–Klein_metric wikiPageWikiLink Category:Projective_geometry.
- Cayley–Klein_metric wikiPageWikiLink Collineation.
- Cayley–Klein_metric wikiPageWikiLink Conic_section.
- Cayley–Klein_metric wikiPageWikiLink Cross-ratio.
- Cayley–Klein_metric wikiPageWikiLink Duncan_Sommerville.
- Cayley–Klein_metric wikiPageWikiLink Edinburgh_Mathematical_Society.
- Cayley–Klein_metric wikiPageWikiLink Elliptic_geometry.
- Cayley–Klein_metric wikiPageWikiLink Euclidean_geometry.
- Cayley–Klein_metric wikiPageWikiLink Euclidean_space.
- Cayley–Klein_metric wikiPageWikiLink Felix_Klein.
- Cayley–Klein_metric wikiPageWikiLink Georgia_Institute_of_Technology.
- Cayley–Klein_metric wikiPageWikiLink Hilbert_metric.
- Cayley–Klein_metric wikiPageWikiLink Homogeneous_coordinates.
- Cayley–Klein_metric wikiPageWikiLink Hyperbolic_geometry.
- Cayley–Klein_metric wikiPageWikiLink Hyperplane_at_infinity.
- Cayley–Klein_metric wikiPageWikiLink Invariant_(mathematics).
- Cayley–Klein_metric wikiPageWikiLink Julius_Springer.
- Cayley–Klein_metric wikiPageWikiLink Karl_Georg_Christian_von_Staudt.
- Cayley–Klein_metric wikiPageWikiLink Mathematische_Annalen.
- Cayley–Klein_metric wikiPageWikiLink Metric_(mathematics).
- Cayley–Klein_metric wikiPageWikiLink Motion_(geometry).
- Cayley–Klein_metric wikiPageWikiLink Non-Euclidean_geometry.
- Cayley–Klein_metric wikiPageWikiLink Philosophical_Transactions_of_the_Royal_Society.
- Cayley–Klein_metric wikiPageWikiLink Poincaré_disk_model.
- Cayley–Klein_metric wikiPageWikiLink Poincaré_half-plane_model.
- Cayley–Klein_metric wikiPageWikiLink Projective_harmonic_conjugate.
- Cayley–Klein_metric wikiPageWikiLink Projective_space.
- Cayley–Klein_metric wikiPageWikiLink Quadric.
- Cayley–Klein_metric wikiPageWikiLink Real_line.
- Cayley–Klein_metric wikiPageWikiLink Speed_of_light.
- Cayley–Klein_metric wikiPageWikiLink Unit_circle.
- Cayley–Klein_metric wikiPageWikiLinkText "Cayley–Klein metric".
- Cayley–Klein_metric align "right".
- Cayley–Klein_metric quote "The question recently arose in conversation whether a dissertation of 2 lines could deserve and get a Fellowship. ... Cayley's projective definition of length is a clear case if we may interpret "2 lines" with reasonable latitude. ... With Cayley the importance of the idea is obvious at first sight.".
- Cayley–Klein_metric width "33.0".
- Cayley–Klein_metric wikiPageUsesTemplate Template:Citation.
- Cayley–Klein_metric wikiPageUsesTemplate Template:Harvtxt.
- Cayley–Klein_metric wikiPageUsesTemplate Template:Quote_box.
- Cayley–Klein_metric wikiPageUsesTemplate Template:Reflist.
- Cayley–Klein_metric subject Category:Metric_geometry.
- Cayley–Klein_metric subject Category:Projective_geometry.
- Cayley–Klein_metric hypernym Metric.
- Cayley–Klein_metric type Software.
- Cayley–Klein_metric type Redirect.
- Cayley–Klein_metric comment "In mathematics, a Cayley–Klein metric is a metric on the complement of a fixed quadric in a projective space is defined using a cross-ratio. The construction originated with Arthur Cayley's essay \"On the theory of distance\" where he calls the quadric the absolute. The construction was developed in further detail by Felix Klein in papers in 1871 and 1873, and in his book Vorlesungen über Nicht-Euklidischen Geometrie(1928).".
- Cayley–Klein_metric label "Cayley–Klein metric".
- Cayley–Klein_metric sameAs Q5055329.
- Cayley–Klein_metric sameAs m.0gfjg_n.
- Cayley–Klein_metric sameAs Q5055329.
- Cayley–Klein_metric wasDerivedFrom Cayley–Klein_metric?oldid=699070783.
- Cayley–Klein_metric isPrimaryTopicOf Cayley–Klein_metric.