Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Bitangents_of_a_quartic> ?p ?o }
Showing triples 1 to 63 of
63
with 100 triples per page.
- Bitangents_of_a_quartic abstract "In real algebraic geometry, a general quartic plane curve has 28 bitangent lines, lines that are tangent to the curve in two places. These lines exist in the complex projective plane, but it is possible to define curves for which all 28 of these lines have real numbers as their coordinates and therefore belong to the Euclidean plane.An explicit quartic with twenty-eight real bitangents was first given by Plücker (1839) As Plücker showed, the number of real bitangents of any quartic must be 28, 16, or a number less than 9. Another quartic with 28 real bitangents can be formed by the locus of centers of ellipses with fixed axis lengths, tangent to two non-parallel lines.Shioda (1995) gave a different construction of a quartic with twenty-eight bitangents, formed by projecting a cubic surface; twenty-seven of the bitangents to Shioda's curve are real while the twenty-eighth is the line at infinity in the projective plane.".
- Bitangents_of_a_quartic thumbnail TrottCurveBiTangents7.svg?width=300.
- Bitangents_of_a_quartic wikiPageExternalLink wtcs.PDF.
- Bitangents_of_a_quartic wikiPageExternalLink p399.
- Bitangents_of_a_quartic wikiPageExternalLink gray.pdf.
- Bitangents_of_a_quartic wikiPageID "5204204".
- Bitangents_of_a_quartic wikiPageLength "8004".
- Bitangents_of_a_quartic wikiPageOutDegree "32".
- Bitangents_of_a_quartic wikiPageRevisionID "609872463".
- Bitangents_of_a_quartic wikiPageWikiLink ADE_classification.
- Bitangents_of_a_quartic wikiPageWikiLink Bitangent.
- Bitangents_of_a_quartic wikiPageWikiLink Category:Algebraic_curves.
- Bitangents_of_a_quartic wikiPageWikiLink Category:Real_algebraic_geometry.
- Bitangents_of_a_quartic wikiPageWikiLink Complex_projective_plane.
- Bitangents_of_a_quartic wikiPageWikiLink Coxeter_graph.
- Bitangents_of_a_quartic wikiPageWikiLink Cubic_surface.
- Bitangents_of_a_quartic wikiPageWikiLink Degree_of_a_polynomial.
- Bitangents_of_a_quartic wikiPageWikiLink Del_Pezzo_surface.
- Bitangents_of_a_quartic wikiPageWikiLink Dual_curve.
- Bitangents_of_a_quartic wikiPageWikiLink Ellipse.
- Bitangents_of_a_quartic wikiPageWikiLink Euclidean_plane.
- Bitangents_of_a_quartic wikiPageWikiLink Fano_plane.
- Bitangents_of_a_quartic wikiPageWikiLink Geometric_genus.
- Bitangents_of_a_quartic wikiPageWikiLink Harnacks_curve_theorem.
- Bitangents_of_a_quartic wikiPageWikiLink Heawood_graph.
- Bitangents_of_a_quartic wikiPageWikiLink Homogeneous_coordinates.
- Bitangents_of_a_quartic wikiPageWikiLink Levi_graph.
- Bitangents_of_a_quartic wikiPageWikiLink Line_at_infinity.
- Bitangents_of_a_quartic wikiPageWikiLink Locus_(mathematics).
- Bitangents_of_a_quartic wikiPageWikiLink McKay_correspondence.
- Bitangents_of_a_quartic wikiPageWikiLink McKay_graph.
- Bitangents_of_a_quartic wikiPageWikiLink Polynomial.
- Bitangents_of_a_quartic wikiPageWikiLink Quartic_plane_curve.
- Bitangents_of_a_quartic wikiPageWikiLink Real_algebraic_geometry.
- Bitangents_of_a_quartic wikiPageWikiLink Real_number.
- Bitangents_of_a_quartic wikiPageWikiLink The_Mathematical_Intelligencer.
- Bitangents_of_a_quartic wikiPageWikiLink Theta_characteristic.
- Bitangents_of_a_quartic wikiPageWikiLink Two-dimensional_space.
- Bitangents_of_a_quartic wikiPageWikiLink Vladimir_Arnold.
- Bitangents_of_a_quartic wikiPageWikiLink File:TrottCurveBiTangents28.svg.
- Bitangents_of_a_quartic wikiPageWikiLink File:TrottCurveBiTangents7.svg.
- Bitangents_of_a_quartic wikiPageWikiLinkText "Bitangents of a quartic".
- Bitangents_of_a_quartic wikiPageWikiLinkText "bitangents of a plane quartic curve".
- Bitangents_of_a_quartic wikiPageWikiLinkText "bitangents of a quartic".
- Bitangents_of_a_quartic wikiPageWikiLinkText "bitangents to this quartic curve".
- Bitangents_of_a_quartic hasPhotoCollection Bitangents_of_a_quartic.
- Bitangents_of_a_quartic wikiPageUsesTemplate Template:Citation.
- Bitangents_of_a_quartic wikiPageUsesTemplate Template:Harvs.
- Bitangents_of_a_quartic wikiPageUsesTemplate Template:Harvtxt.
- Bitangents_of_a_quartic wikiPageUsesTemplate Template:Reflist.
- Bitangents_of_a_quartic subject Category:Algebraic_curves.
- Bitangents_of_a_quartic subject Category:Real_algebraic_geometry.
- Bitangents_of_a_quartic hypernym Tangent.
- Bitangents_of_a_quartic type Variety.
- Bitangents_of_a_quartic comment "In real algebraic geometry, a general quartic plane curve has 28 bitangent lines, lines that are tangent to the curve in two places.".
- Bitangents_of_a_quartic label "Bitangents of a quartic".
- Bitangents_of_a_quartic sameAs Curva_di_Trott.
- Bitangents_of_a_quartic sameAs m.0d7psb.
- Bitangents_of_a_quartic sameAs Q4918750.
- Bitangents_of_a_quartic sameAs Q4918750.
- Bitangents_of_a_quartic wasDerivedFrom Bitangents_of_a_quartic?oldid=609872463.
- Bitangents_of_a_quartic depiction TrottCurveBiTangents7.svg.
- Bitangents_of_a_quartic isPrimaryTopicOf Bitangents_of_a_quartic.