Definition of curvature in English:

curvature

Syllabification: cur·va·ture
Pronunciation: /ˈkərvəCHər, -ˌCHo͝or
 
/

noun

  • 1The 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
    More example sentences
    • So are you ready to be bedazzled by the Barcelona curves and curvatures?
    • The curvatures of the electronically controlled seats and backs can be individually adjusted.
    • It is the most graceful of birds in flight and its body curvatures and wing span excite all who witness it.
  • 1.1 Geometry The degree to which a curve deviates from a straight line, or a curved surface deviates from a plane.
    More example sentences
    • This illustrates around the periphery the effects of vignetting - loss of brightness and focus - and curvature of straight lines, typical of camera obscura images generally.
    • In fact the work was of such quality that Weingarten received a prize for work on the lines of curvature of a surface in 1857.
    • Joachimsthal surfaces are named after him, these have a family of plane lines of curvature within the plane of a pencil.
  • 1.2A numerical quantity expressing this.
    More example sentences
    • A deeper characterization of a helix is that it is the unique curve in 3-space for which the ratio of curvature to torsion is a constant, a result known as Lancret's Theorem.
    • Therefore, origami models have constant zero Gauss curvature at each interior vertex.
    • Among other results, he classified simply connected Riemannian 3-manifolds of constant curvature in this thesis.

Origin

late Middle English: via Old French from Latin curvatura, from curvare (see curve).

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