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line of principal curvature

См. также в других словарях:

  • Principal curvature — Saddle surface with normal planes in directions of principal curvatures In differential geometry, the two principal curvatures at a given point of a surface are the eigenvalues of the shape operator at the point. They measure how the surface… …   Wikipedia

  • Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this …   Wikipedia

  • curvature — /kerr veuh cheuhr, choor /, n. 1. the act of curving or the state of being curved. 2. a curved condition, often abnormal: curvature of the spine. 3. the degree of curving of a line or surface. 4. Geom. a. (at a point on a curve) the derivative of …   Universalium

  • Curvature of a measure — In mathematics, the curvature of a measure defined on the Euclidean plane R2 is a quantification of how much the measure s distribution of mass is curved . It is related to notions of curvature in geometry. In the form presented below, the… …   Wikipedia

  • principal axis — 1. Optics. a line passing through the center of the surface of a lens or spherical mirror and through the centers of curvature of all segments of the lens or mirror. 2. Physics. one of three mutually perpendicular axes of a body about which the… …   Universalium

  • principal axis — prin·ci·pal axis prin(t) sə pəl n the line with respect to which a spherical mirror or lens system is symmetrical and which passes through both the center of the surfaces and their centers of curvature * * * optic a …   Medical dictionary

  • principal axis — /prɪnsəpəl ˈæksəs/ (say prinsuhpuhl aksuhs) noun the straight line passing through both the centre of the surface of a lens or mirror and its centre of curvature …  

  • principal axis — noun a line that passes through the center of curvature of a lens so that light is neither reflected nor refracted in a normal eye the optic axis is the direction in which objects are seen most distinctly • Syn: ↑optic axis • Hypernyms: ↑axis …   Useful english dictionary

  • Radius of curvature (applications) — The distance from the center of a sphere or ellipsoid to its surface is its radius. The equivalent surface radius that is described by radial distances at points along the body s surface is its radius of curvature (more formally, the radius of… …   Wikipedia

  • Menger curvature — In mathematics, the Menger curvature of a triple of points in n dimensional Euclidean space Rn is the reciprocal of the radius of the circle that passes through the three points. It is named after the Austrian American mathematician Karl Menger.… …   Wikipedia

  • Center of curvature of a curve — Center Cen ter, n. [F. centre, fr. L. centrum, fr. round which a circle is described, fr. ? to prick, goad.] 1. A point equally distant from the extremities of a line, figure, or body, or from all parts of the circumference of a circle; the… …   The Collaborative International Dictionary of English

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