Duality (projective geometry)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the geometry of the projective plane, duality refers to geometric transformations that replace points by lines and lines by points while preserving incidence properties among the transformed objects. The existence of such transformations leads to a general principle, that any theorem about incidences between points and lines in the projective plane may be transformed into another theorem about lines and points, by a substitution of the appropriate words.

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the geometry of the projective plane, duality refers to geometric transformations that replace points by lines and lines by points while preserving incidence properties among the transformed objects. The existence of such transformations leads to a general principle, that any theorem about incidences between points and lines in the projective plane may be transformed into another theorem about lines and points, by a substitution of the appropriate words.