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In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface)...

license (free of charge) Languages: 55 Geometry: points, lines, all conic sections, vectors, parametric curves, locus lines Algebra: direct input of inequalities...

In differential geometry, the cut locus of a point p on a manifold is the closure of the set of all other points on the manifold that are connected to...

non-singular locus of any complex variety is a complex manifold. Complex manifolds may be studied from the perspective of differential geometry, whereby they...

In geometry, focuses or foci (/ˈfoʊkaɪ/; sg.: focus) are special points with reference to which any of a variety of curves is constructed. For example...

Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive...

algebraic geometry, over Henri Poincaré's characteristic linear system of an algebraic family of curves on an algebraic surface. The base locus of a linear...

In mathematics, and in particular differential geometry and complex geometry, a complex analytic variety or complex analytic space is a generalization...

Spherical geometry or spherics (from Ancient Greek σφαιρικά) is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of...

In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts...

In the mathematical field of algebraic geometry, purity is a theme covering a number of results and conjectures, which collectively address the question...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

mathematics, the study of the circle has helped inspire the development of geometry, astronomy and calculus. Annulus: a ring-shaped object, the region bounded...

projective space P(Rn+2), let S be the locus of q = 0. Then S is the projective (or Möbius) model of conformal geometry. A conformal transformation on S is...

Distance from a point to a line Incidence (geometry) Line segment Generalised circle Locus Plane (geometry) Polyline Technically, the collineation group...

Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine...

e.g. in Martian spherules. In analytic geometry, a sphere with center (x0, y0, z0) and radius r is the locus of all points (x, y, z) such that ( x −...

the whole cone) has a circular symmetry. In common usage in elementary geometry, cones are assumed to be right circular, where circular means that the...

In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common...

locally―there will be paths that trace round the branch locus, just as in the example. In algebraic geometry over any field, by analogy, it also happens in algebraic...