respect to projective transformations, as is seen in perspective drawing from a changing perspective. One source for projective geometry was indeed the...

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...

concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet at infinity. A projective space may thus...

In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective space...

the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...

in finite projective geometry is a set of points which satisfies, in an intuitive way, a feature of curved figures in continuous geometries. Loosely speaking...

In algebraic geometry, a projective variety is an algebraic variety that is a closed subvariety of a projective space. That is, it is the zero-locus in...

geometry, while it also develops the oldest part of the theory (for the projective line), namely the Schwarzian derivative, the simplest projective differential...

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

Galois geometries, since any finite projective space of dimension three or greater is isomorphic to a projective space over a finite field (that is, the...

with the above definition since in the unique projective extension of the affine plane to a projective plane a single point (point at infinity) is added...

of a Projective space plays a central role in algebraic geometry. This article aims to define the notion in terms of abstract algebraic geometry and to...

algebraic and analytic geometry over a finite field (or Galois field). More narrowly, a Galois geometry may be defined as a projective space over a finite...

planar projective geometry, in which the relationships between objects are not considered to change under projective transformations. The name projective comes...

In projective geometry, a correlation is a transformation of a d-dimensional projective space that maps subspaces of dimension k to subspaces of dimension...

and more specifically in projective geometry, a projective frame or projective basis is a tuple of points in a projective space that can be used for...

The term is not very specific, but in some areas of mathematics (projective geometry, technical drawing, etc.), it is given a more precise definition...

complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real projective space...

In projective geometry, the harmonic conjugate point of a point on the real projective line with respect to two other points is defined by the following...

theorems of geometry are simplified by the resultant elimination of special cases; for example, two distinct projective lines in a projective plane meet...

Wayland (1917-01-01). Projective Geometry. McGraw-Hill book Company, Incorporated. G. B. Halsted (1906) Synthetic Projective Geometry, page 20 Protter, Murray...

geometry that are related to symmetry. In traditional geometry, affine geometry is considered to be a study between Euclidean geometry and projective...

affine algebraic set. Quadrics may also be defined in projective spaces; see § Normal form of projective quadrics, below. In coordinates x1, x2, ..., xD+1...

class of the complex projective line, or Riemann sphere, lying in the plane. The nontrivial homotopy groups of the complex projective plane are π 2 = π 5...

Quadrics are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine space. An example is...

standard round metric, the measure of projective space is exactly half the measure of the sphere. Real projective spaces are smooth manifolds. On Sn, in...

algebraic geometry Noncommutative geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner...

statement is true in a projective plane, though not true in the Euclidean plane where lines may be parallel. Historically, projective geometry was developed in...

noncommutative projective geometry is a noncommutative analog of projective geometry in the setting of noncommutative algebraic geometry. The quantum plane...

absolute geometry, while negating it yields hyperbolic geometry. Other consistent axiom sets can yield other geometries, such as projective, elliptic...