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- 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 p399.
- Bitangents_of_a_quartic wikiPageExternalLink gray.pdf.
- Bitangents_of_a_quartic wikiPageExternalLink wtcs.PDF.
- Bitangents_of_a_quartic wikiPageID "5204204".
- Bitangents_of_a_quartic wikiPageRevisionID "564798138".
- Bitangents_of_a_quartic hasPhotoCollection Bitangents_of_a_quartic.
- Bitangents_of_a_quartic subject Category:Algebraic_curves.
- Bitangents_of_a_quartic subject Category:Real_algebraic_geometry.
- Bitangents_of_a_quartic type Abstraction100002137.
- Bitangents_of_a_quartic type AlgebraicCurves.
- Bitangents_of_a_quartic type Attribute100024264.
- Bitangents_of_a_quartic type Curve113867641.
- Bitangents_of_a_quartic type Line113863771.
- Bitangents_of_a_quartic type Shape100027807.
- 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 label "Curva di Trott".
- 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 sameAs Bitangents_of_a_quartic.
- Bitangents_of_a_quartic wasDerivedFrom Bitangents_of_a_quartic?oldid=564798138.
- Bitangents_of_a_quartic depiction TrottCurveBiTangents7.svg.
- Bitangents_of_a_quartic isPrimaryTopicOf Bitangents_of_a_quartic.