Hypertext Webster Gateway: "curvature"

From Webster's Revised Unabridged Dictionary (1913) (web1913)

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.

From WordNet (r) 1.7 (wn)

curvature
n 1: (medical) 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}]


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