Curvature - Dictionary Definition and Overview

Curvature :  (noun)
1: (medicine) a curving or bending; often abnormal; "curvature of the spine"
2: the rate of change (at a point) of the angle between a curve and a tangent to the curve
3: the property possessed by the curving of a line or surface [syn: curve]

Based on WordNet 2.0

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.

Based on WordNet (r) 2.0 (August 2003)
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