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  2. Dictionary

    cur·va·ture
    [ˈkərvəCHo͝or, ˈkərvəCHər]
    noun
    curvature (noun) · curvatures (plural noun)
    1. the fact of being curved or the degree to which something is curved:
      "spinal curvature" · "the curvature of the earth" · "it has a distinct curvature near the middle"
    Origin
    late Middle English: via Old French from Latin curvatura, from curvare (see curve).
    Translate curvature to
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  4. : the act of curving : the state of being curved 2 : a measure or amount of curving specifically : the rate of change of the angle through which the tangent to a curve turns in moving along the curve and which for a circle is equal to the reciprocal of the radius 3 a : an abnormal curving (as of the spine)
    www.merriam-webster.com/dictionary/curvature
    noun the act of curving or the state of being curved. a curved condition, often abnormal: curvature of the spine. the degree of curving of a line or surface. Geometry. (at a point on a curve) the derivative of the inclination of the tangent with respect to arc length. the absolute value of this derivative.
    www.dictionary.com/browse/curvature
    Intuitively, the curvature describes for any part of a curve how much the curve direction changes over a small distance travelled (e.g. angle in rad/m), so it is a measure of the instantaneous rate of change of direction of a point that moves on the curve: the larger the curvature, the larger this rate of change.
    en.wikipedia.org/wiki/Curvature
     
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    Curvature | 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 a straight line or by which a surface deviates from being a plane. If a curve or surface is contained in a larger space, curvature can be defined … See more

    In Tractatus de configurationibus qualitatum et motuum, the 14th-century philosopher and mathematician Nicole Oresme introduces the concept of curvature as a measure of departure from straightness; for … See more

    Intuitively, the curvature describes for any part of a curve how much the curve direction changes over a small distance travelled (e.g. angle … See more

    The curvature of curves drawn on a surface is the main tool for the defining and studying the curvature of the surface.
    Curves on surfaces See more

    The mathematical notion of curvature is also defined in much more general contexts. Many of these generalizations emphasize different … See more

    As in the case of curves in two dimensions, the curvature of a regular space curve C in three dimensions (and higher) is the … See more

    By extension of the former argument, a space of three or more dimensions can be intrinsically curved. The curvature is intrinsic in the sense … See more

    Curvature form for the appropriate notion of curvature for vector bundles and principal bundles with connection
    Curvature of a measure for … See more

     
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