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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.It was first proved by the French geometer Michel Chasles and later generalized (to curves of higher degree) by Arthur Cayley and Isaak Bacharach (1886).".
- Cayley–Bacharach_theorem thumbnail 9-points_theorem.png?width=300.
- Cayley–Bacharach_theorem wikiPageID "3064553".
- Cayley–Bacharach_theorem wikiPageRevisionID "603400098".
- 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 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 label "Теорема о 9 точках на кубике".
- Cayley–Bacharach_theorem sameAs Cayley%E2%80%93Bacharach_theorem.
- Cayley–Bacharach_theorem sameAs Q4455043.
- Cayley–Bacharach_theorem sameAs Q4455043.
- Cayley–Bacharach_theorem wasDerivedFrom Cayley–Bacharach_theorem?oldid=603400098.
- Cayley–Bacharach_theorem depiction 9-points_theorem.png.
