Circle of curvature

Circle 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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  • Circle of curvature — Circle Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single… …   The Collaborative International Dictionary of English

  • circle of curvature — noun the circle that touches a curve (on the concave side) and whose radius is the radius of curvature • Syn: ↑osculating circle • Hypernyms: ↑circle * * * : the osculating circle of a curve * * * Math. the circle with its center on the normal to …   Useful english dictionary

  • circle of curvature — Math. the circle with its center on the normal to the concave side of a curve at a given point on the curve and with its radius equal to the radius of curvature at the point. Also called osculating circle. * * * …   Universalium

  • 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 Collaborative International Dictionary of English

  • Curvature of the spine — 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… …   The Collaborative International Dictionary of English

  • Circle — Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single curve… …   The Collaborative International Dictionary of English

  • Circle of altitude — Circle Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single… …   The Collaborative International Dictionary of English

  • Circle of declination — Circle Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single… …   The Collaborative International Dictionary of English

  • Circle of latitude — Circle Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single… …   The Collaborative International Dictionary of English

  • Circle of perpetual apparition — Circle Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single… …   The Collaborative International Dictionary of English

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