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Developable surface — In mathematics, a developable surface is a surface with zero Gaussian curvature. That is, it is a surface that can be flattened onto a plane without distortion (i.e. stretching or compressing ). Conversely, it is a surface which can be made by… … Wikipedia
Tangential developable — In the mathematical study of the differential geometry of surfaces, a tangential developable is a particular kind of developable surface obtained from a curve in Euclidean space as the surface swept out by the tangent lines to the curve. Such a… … Wikipedia
asymptotic developable — noun : the developable surface generated by the tangent planes of a ruled surface whose rulings are supposed not to be minimal lines … Useful english dictionary
List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie … Wikipedia
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
Total curvature — In mathematical study of the differential geometry of curves, the total curvature of a plane curve is the integral of curvature along a curve taken with respect to arclength::int a^b k(s),ds.The total curvature of a closed curve is always an… … Wikipedia
Map projection — A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy s Geography and using his second map projection A map projection is any method of representing the surface of a sphere or other … Wikipedia
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
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
photography, technology of — Introduction equipment, techniques, and processes used in the production of photographs. The most widely used photographic process is the black and white negative–positive system (Figure 1 >). In the camera the lens projects an image of… … Universalium
