Definition of Curvature. Meaning of Curvature. Synonyms of Curvature

Here you will find one or more explanations in English for the word Curvature. Also in the bottom left of the page several parts of wikipedia pages related to the word Curvature and, of course, Curvature synonyms and on the right images related to the word Curvature.

Definition of Curvature

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. The elegant curvature of their fronds. --Darwin. 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. 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.

Meaning of Curvature from wikipedia

- In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being...
- In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...
- defined primarily by its curvature, while the global geometry is characterised by its topology (which itself is constrained by curvature). General relativity...
- and measure the Earth's radius involve either the spheroid's radius of curvature or the actual topography. A few definitions yield values outside the range...
- In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno...
- In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best...
- mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a...
- column is divided into different body regions, which correspond to the curvatures of the vertebral column. The articulating vertebrae are named according...
- In geometry, the center of curvature of a curve is a point located at a distance from the curve curvature is zero. The osculating circle to the curve is...
- differential geometry, the curvature form describes curvature of a connection on a prin****l bundle. The Riemann curvature tensor in Riemannian geometry...