In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces...

In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that...

a projective line, and a projective space of dimension 2 is a projective plane. Projective spaces are widely used in geometry, as allowing simpler statements...

of noncommutative algebra Fundamental theorem of projective geometry Fundamental theorem of random fields Fundamental theorem of Riemannian geometry Fundamental...

projective spaces; such embeddability is a consequence of a property known as Desargues' theorem, not shared by all projective planes. A projective plane...

Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner geometry Spherical geometry Symplectic geometry Synthetic...

In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions...

theorems in Diophantine geometry that are of fundamental importance include: Mordell–Weil theorem Roth's theorem Siegel's theorem Faltings's theorem Serge...

projective plane Complex projective space Plane at infinity, hyperplane at infinity Projective frame Projective transformation Fundamental theorem of...

in favor of a purely synthetic development of projective geometry. For example, the treatment of the projective plane starting from axioms of incidence...