CURVATURE

curvature, curve

(noun) the property possessed by the curving of a line or surface

curvature

(noun) the rate of change (at a point) of the angle between a curve and a tangent to the curve

curvature

(noun) (medicine) a curving or bending; often abnormal; “curvature of the spine”

Source: WordNet® 3.1


Etymology

Noun

curvature (countable and uncountable, plural curvatures)

The shape of something curved.

(mathematics) The extent to which a subspace is curved within a metric space.

(differential geometry) The extent to which a Riemannian manifold is intrinsically curved.

Source: Wiktionary


Cur"va*ture (kr"v-tr; 135), n. Etym: [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.)

Definition: 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 curcular 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.

Source: Webster’s Unabridged Dictionary 1913 Edition



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Word of the Day

27 April 2024

GREAT

(adjective) remarkable or out of the ordinary in degree or magnitude or effect; “a great crisis”; “had a great stake in the outcome”


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