Concept information
Preferred term
projective geometry
Definition(s)
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In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "points at infinity") to Euclidean points, and vice-versa.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Projective_geometry)
Broader concept(s)
Narrower concept(s)
- Cayley-Klein metric
- dual curve
- Fubini-Study metric
- homographic function
- Klein quadric
- Laguerre transformation
- Möbius transformation
- Newton line
- point at infinity
- projective harmonic conjugate
- projective line
- projective linear group
- projective line over a ring
- projective orthogonal group
- Riemann sphere
- Schlegel diagram
- special linear group SL(2, R)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-XPFQM0ZH-H
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