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general position
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(Definition)
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In projective geometry, a set of points is said to be in general position iff any $d+2$ of them do not lie on a $d$ dimensional plane, i.e., 4 points are in general position iff no three of them are on the same line.
Dually a set of $d$ dimensional planes is said to be in general position iff no $d+2$ of them meet in the same point, i.e., 4 lines are in general position iff no three of them meet in the same point.
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"general position" is owned by jgade.
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Cross-references: meet, line, plane, lie on, iff, points, projective geometry
There are 5 references to this entry.
This is version 5 of general position, born on 2003-05-10, modified 2006-09-26.
Object id is 4262, canonical name is GeneralPosition.
Accessed 2186 times total.
Classification:
| AMS MSC: | 14A99 (Algebraic geometry :: Foundations :: Miscellaneous) |
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Pending Errata and Addenda
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