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ruled geometry

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  • Ruled surface — A hyperboloid of one sheet is a doubly ruled surface: it can be generated by either of two families of straight lines. In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. The most familiar… …   Wikipedia

  • ruled surface — noun mathematics : a surface generated by a moving straight line * * * Geom. a surface that can be generated by a straight line, as a cylinder or cone. [1860 65] * * * ruled surface «roold», Geometry. a surface generated by the motion of a… …   Useful english dictionary

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • List of differential geometry topics — This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. Contents 1 Differential geometry of curves and surfaces 1.1 Differential geometry of curves 1.2 Differential… …   Wikipedia

  • List of algebraic geometry topics — This is a list of algebraic geometry topics, by Wikipedia page. Contents 1 Classical topics in projective geometry 2 Algebraic curves 3 Algebraic surfaces 4 …   Wikipedia

  • Cone (geometry) — Not to be confused with the conical surface.. A right circular cone and an oblique circular cone A cone is an n dimensional geometric shape that tapers smoothly from a base (usually flat and circular) to a point called the apex or vertex.… …   Wikipedia

  • Cylinder (geometry) — A right circular cylinder A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder. The solid enclosed by this surface and by two… …   Wikipedia

  • Projective differential geometry — In mathematics, projective differential geometry is the study of differential geometry, from the point of view of properties that are invariant under the projective group. This is a mixture of attitudes from Riemannian geometry, and the Erlangen… …   Wikipedia

  • Development (differential geometry) — In classical differential geometry, development refers to the simple idea of rolling one smooth surface over another in Euclidean space. For example, the tangent plane to a surface (such as the sphere or the cylinder) at a point can be rolled… …   Wikipedia

  • Minimal model (birational geometry) — In algebraic geometry, more specifically in the field of birational geometry, the theory of minimal models is part of the birational classification of algebraic varieties. Its goal is to construct, given a variety satisying certain restrictions,… …   Wikipedia

  • History of Grandi's series — Geometry and infinite zerosGrandiGuido Grandi (1671 – 1742) reportedly provided a simplistic account of the series in 1703. He noticed that inserting parentheses into nowrap|1=1 − 1 + 1 − 1 + · · · produced varying results: either:(1 1) + (1 1) + …   Wikipedia

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