Radius of curvature

Radius of curvature
Curvature Cur"va*ture (k?r"v?-t?r; 135), n. [L. curvatura. See {Curvate}.] 1. The act of curving, or the state of being bent or curved; a curving or bending, normal or abnormal, as of a line or surface from a rectilinear direction; a bend; a curve. --Cowper. [1913 Webster]

The elegant curvature of their fronds. --Darwin. [1913 Webster]

2. (Math.) The amount of degree of bending of a mathematical curve, or the tendency at any point to depart from a tangent drawn to the curve at that point. [1913 Webster]

{Aberrancy of curvature} (Geom.), the deviation of a curve from a circular form.

{Absolute curvature}. See under {Absolute}.

{Angle of curvature} (Geom.), one that expresses the amount of curvature of a curve.

{Chord of curvature}. See under {Chord}.

{Circle of curvature}. See {Osculating circle of a curve}, under {Circle}.

{Curvature of the spine} (Med.), an abnormal curving of the spine, especially in a lateral direction.

{Radius of curvature}, the radius of the circle of curvature, or osculatory circle, at any point of a curve. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Radius of curvature — may refer to: Radius of curvature (mathematics) Radius of curvature (optics) Radius of curvature (applications), in geodesy and materials science The reciprocal of the curvature, in differential geometry Radius, for a sphere (lingo) The radius of …   Wikipedia

  • Radius of curvature — Radius Ra di*us (r[=a] d[i^]*[u^]s), n.; pl. L. {Radii} (r[=a] d[i^]*[imac]); E. {Radiuses} (r[=a] d[i^]*[u^]s*[e^]z). [L., a staff, rod, spoke of a wheel, radius, ray. See {Ray} a divergent line.] 1. (Geom.) A right line drawn or extending from… …   The Collaborative International Dictionary of English

  • radius of curvature — kreivumo spindulys statusas T sritis Standartizacija ir metrologija apibrėžtis Kreivės arba kreivo paviršiaus spindulys. atitikmenys: angl. radius of curvature vok. Krümmungsradius, m rus. радиус кривизны, m pranc. rayon de courbure, m …   Penkiakalbis aiškinamasis metrologijos terminų žodynas

  • radius of curvature — kreivumo spindulys statusas T sritis fizika atitikmenys: angl. radius of curvature vok. Krümmungsradius, m rus. радиус кривизны, m pranc. rayon de courbure, m …   Fizikos terminų žodynas

  • Radius of curvature (optics) — Radius of curvature has specific meaning and sign convention in optical design. A spherical lens or mirror surface has a center of curvature located in (x, y, z) either along or decentered from the system local optical axis. The vertex… …   Wikipedia

  • 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

  • Radius of curvature (mathematics) — In geometry, the radius of curvature, R , of a curve at a point is a measure of the radius of the circular arc which best approximates the curve at that point. If this value taken to be positive when the curve turns anticlockwise and negative… …   Wikipedia

  • radius of curvature — noun the radius of the circle of curvature; the absolute value of the reciprocal of the curvature of a curve at a given point (Freq. 3) • Hypernyms: ↑radius, ↑r …   Useful english dictionary

  • radius of curvature — Math. the absolute value of the reciprocal of the curvature at a point on a curve. Cf. circle of curvature. [1745 55] * * * …   Universalium

  • radius of curvature — Date: circa 1753 the reciprocal of the curvature of a curve …   New Collegiate Dictionary

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