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- Cayley–Bacharach_theorem abstract "In mathematics, the Cayley–Bacharach theorem is a statement about cubic curves (plane curves of degree three) in the projective plane P2 The original form states:Assume that two cubics C1 and C2 in the projective plane meet in nine (different) points, as they do in general over an algebraically closed field. Then every cubic that passes through any eight of the points also passes through the ninth point.A more intrinsic form of the Cayley–Bacharach theorem reads as follows:Every cubic curve C1 on an algebraically closed field that passes through a given set of eight points P1, ..., P8 also passes through a certain (fixed) ninth point P9, counting multiplicities.A related result on conics was first proved by the French geometer Michel Chasles and later generalized to cubics by Arthur Cayley and Isaak Bacharach (1886).".
- Cayley–Bacharach_theorem thumbnail 9-points_theorem.png?width=300.
- Cayley–Bacharach_theorem wikiPageExternalLink 0508076.
- Cayley–Bacharach_theorem wikiPageExternalLink S0273-0979-96-00666-0.pdf.
- Cayley–Bacharach_theorem wikiPageID "3064553".
- Cayley–Bacharach_theorem wikiPageLength "11181".
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- Cayley–Bacharach_theorem wikiPageRevisionID "696988737".
- Cayley–Bacharach_theorem wikiPageWikiLink Algebraic_closure.
- Cayley–Bacharach_theorem wikiPageWikiLink Algebraically_closed_field.
- Cayley–Bacharach_theorem wikiPageWikiLink Arthur_Cayley.
- Cayley–Bacharach_theorem wikiPageWikiLink Bxc3xa9zouts_theorem.
- Cayley–Bacharach_theorem wikiPageWikiLink Category:Algebraic_curves.
- Cayley–Bacharach_theorem wikiPageWikiLink Category:Theorems_in_algebraic_geometry.
- Cayley–Bacharach_theorem wikiPageWikiLink Category:Theorems_in_projective_geometry.
- Cayley–Bacharach_theorem wikiPageWikiLink Codimension.
- Cayley–Bacharach_theorem wikiPageWikiLink Cone_(linear_algebra).
- Cayley–Bacharach_theorem wikiPageWikiLink Conic_section.
- Cayley–Bacharach_theorem wikiPageWikiLink Cubic_plane_curve.
- Cayley–Bacharach_theorem wikiPageWikiLink David_Eisenbud.
- Cayley–Bacharach_theorem wikiPageWikiLink Dimension_(vector_space).
- Cayley–Bacharach_theorem wikiPageWikiLink Elliptic_curve.
- Cayley–Bacharach_theorem wikiPageWikiLink Five_points_determine_a_conic.
- Cayley–Bacharach_theorem wikiPageWikiLink General_position.
- Cayley–Bacharach_theorem wikiPageWikiLink Homogeneous_polynomial.
- Cayley–Bacharach_theorem wikiPageWikiLink Linear_system.
- Cayley–Bacharach_theorem wikiPageWikiLink Mathematics.
- Cayley–Bacharach_theorem wikiPageWikiLink Mathematische_Annalen.
- Cayley–Bacharach_theorem wikiPageWikiLink Michel_Chasles.
- Cayley–Bacharach_theorem wikiPageWikiLink Monomial.
- Cayley–Bacharach_theorem wikiPageWikiLink Overdetermined_system.
- Cayley–Bacharach_theorem wikiPageWikiLink Pappuss_hexagon_theorem.
- Cayley–Bacharach_theorem wikiPageWikiLink Parameter_space.
- Cayley–Bacharach_theorem wikiPageWikiLink Pascals_theorem.
- Cayley–Bacharach_theorem wikiPageWikiLink Pencil_(mathematics).
- Cayley–Bacharach_theorem wikiPageWikiLink Projective_plane.
- Cayley–Bacharach_theorem wikiPageWikiLink Quadratic_form.
- Cayley–Bacharach_theorem wikiPageWikiLink Riemann–Roch_theorem_for_surfaces.
- Cayley–Bacharach_theorem wikiPageWikiLink Robin_Hartshorne.
- Cayley–Bacharach_theorem wikiPageWikiLink Vector_space.
- Cayley–Bacharach_theorem wikiPageWikiLink File:9-points_theorem.png.
- Cayley–Bacharach_theorem wikiPageWikiLinkText "Cayley–Bacharach theorem".
- Cayley–Bacharach_theorem wikiPageUsesTemplate Template:=.
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- Cayley–Bacharach_theorem wikiPageUsesTemplate Template:Math.
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- Cayley–Bacharach_theorem subject Category:Algebraic_curves.
- Cayley–Bacharach_theorem subject Category:Theorems_in_algebraic_geometry.
- Cayley–Bacharach_theorem subject Category:Theorems_in_projective_geometry.
- Cayley–Bacharach_theorem hypernym Statement.
- Cayley–Bacharach_theorem type Redirect.
- Cayley–Bacharach_theorem type Theorem.
- Cayley–Bacharach_theorem type Variety.
- Cayley–Bacharach_theorem comment "In mathematics, the Cayley–Bacharach theorem is a statement about cubic curves (plane curves of degree three) in the projective plane P2 The original form states:Assume that two cubics C1 and C2 in the projective plane meet in nine (different) points, as they do in general over an algebraically closed field.".
- Cayley–Bacharach_theorem label "Cayley–Bacharach theorem".
- Cayley–Bacharach_theorem sameAs Q4455043.
- Cayley–Bacharach_theorem sameAs Satz_von_Cayley-Bacharach.
- Cayley–Bacharach_theorem sameAs m.08p2b8.
- Cayley–Bacharach_theorem sameAs Теорема_о_девяти_точках_на_кубике.
- Cayley–Bacharach_theorem sameAs Định_lý_Cayley–Bacharach.
- Cayley–Bacharach_theorem sameAs Q4455043.
- Cayley–Bacharach_theorem wasDerivedFrom Cayley–Bacharach_theorem?oldid=696988737.
- Cayley–Bacharach_theorem depiction 9-points_theorem.png.
- Cayley–Bacharach_theorem isPrimaryTopicOf Cayley–Bacharach_theorem.