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curvature

curvature

4 6.3
How sharply a line or surface bends at one point
  • noun
  • /ˈkɜrvətʃər/
  • Specialized
translation icon : curvatura
  • Light regions have positive Gaussian curvature (convex or concave), and dark regions have negative curvature (saddle).
  • radius of curvature
  • Gaussian curvature
  • zero curvature

So curvature is where the curve, it's a measure of how sharply a curve bends.

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Examples

  • Here the circle is very small and so the curvature is very large.

  • You can see the curvature of the Earth from the airplane window.

  • The watch glass had a radius of curvature of 0.8 cm.

    Academic text (2001)
  • So curvature is where the curve, it's a measure of how sharply a curve bends.

  • The first version was calculated by surveying the curvature of the Earth along a meridian.

    Blog text (18)
  • Derivatives in ordinary calculus describe local properties of functions such as slope and curvature.

    Academic text (2003)
  • The architect carefully calculated the curvature of the roof to ensure proper drainage.

  • The road's curvature increases as you approach the sharp turn ahead.

Antonyms

1 1.0

The condition of having no curves, bends, or angles

Compounds

center of curvature
  • Specialized
7.9

The point at the center of the circle that best fits a curve near it

circle of curvature
  • Specialized
9.9

A circle that touches a curve on its inside and matches its bend there

radius of curvature
  • Specialized
7.7

The distance from a curve to the center of the circle that best fits the curve at a point

spinal curvature
  • Specialized
6.4

A bend in the spine that is not normal and can cause pain or health problems

How Curved

to kink
3 5.4
curvature
  • Specialized
4 6.3
bending
10 2.1
straightness
1 1.0

Surface Forms

curvature singular
curvatures plural

Morphology

curvature = curve (transparent) = curve + ature

The meaning refers to the rate or degree of bending and is directly derived from 'curve' with a nominalizing suffix, so learners can infer the sense.

Etymology

Curvature comes from the Latin curvare 'to bend', and you can see the same curv- in curve. In math it means how sharply a line or shape bends at a point, so it measures the turn or sharpness of the bend.