geometry | Geometry | Euclidean geometry | algebraic geometry | non-Euclidean geometry | Cylinder (geometry) | cylinder (geometry) | Taxicab geometry | prism (geometry) | parallel (geometry) | Noncommutative geometry | Geometry Wars: Galaxies | Diophantine geometry | Whitehead's point-free geometry | Wedge (geometry) | Variable Geometry | Variable geometry | Triangulation (geometry) | Translation (geometry) | translation (geometry) | Table of Geometry, from the 1728 ''Cyclopaedia, or an Universal Dictionary of Arts and Sciences | Stochastic geometry | Square pyramidal molecular geometry | Square (geometry) | Reciprocation (geometry) | Point (geometry) | Plane (geometry) | Parabolic geometry | noncommutative geometry | List of differential geometry topics |
Klein proposed an idea that all these new geometries are just special cases of the projective geometry, as already developed by Poncelet, Möbius, Cayley and others.
John Wesley Young (November 17, 1879, Columbus, Ohio, to February 17, 1932, Hanover, New Hampshire) was an American mathematician who, with Oswald Veblen, introduced the axioms of projective geometry, coauthored a 2-volume work on them, and proved the Veblen–Young theorem.
In projective geometry, Plücker coordinates refer to a set of homogeneous co-ordinates introduced initially to embed the set of lines in three dimensions as a quadric in five dimensions.
In projective geometry and finite geometry (MSC 51A, 51E, 12K10), a semifield is the analogue of a division algebra, but defined over the integers Z rather than over a field.
He began to instruct in projective geometry, as stand-in for Giuseppe Bruno, from 1885 to 1888.
Dirk Struik (1953) Lectures on Analytic and Projective Geometry, page 7, Addison-Wesley.
The first finite projective geometry was developed by the Italian mathematician Gino Fano.