Non-Desarguesian plane

In mathematics, a non-Desarguesian plane is a projective plane (or sometimes an affine plane) that does not satisfy Desargues' theorem (named after Girard Desargues), or in other words a plane that is not a Desarguesian plane. The theorem of Desargues is true in all projective spaces of dimension not 2; in other words, the only projective spaces of dimension not equal to 2 are the classical projective geometries over a field (or division ring).

Source: Wikipedia — Non-Desarguesian plane (CC BY-SA 4.0)

Non-Desarguesian plane

In mathematics, a non-Desarguesian plane is a projective plane (or sometimes an affine plane) that does not satisfy Desargues' theorem (named after Girard Desargues), or in other words a plane that is not a Desarguesian plane. The theorem of Desargues is true in all projective spaces of dimension not 2; in other words, the only projective spaces of dimension not equal to 2 are the classical projective geometries over a field (or division ring).

This neuron ends here.

Source: Wikipedia "Non-Desarguesian plane" · CC BY-SA 4.0

Share this article: X · Bluesky
Privacy Policy