### What does **curvature** mean?

# Definitions for **curvature**

ˈkɜr və tʃər, -ˌtʃʊərcur·va·ture

#### Here are all the possible meanings and translations of the word **curvature**.

### Princeton's WordNet

curvature(noun)

(medicine) a curving or bending; often abnormal

"curvature of the spine"

curvature(noun)

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

curvature, curve(noun)

the property possessed by the curving of a line or surface

### Wiktionary

curvature(Noun)

The shape of something curved.

curvature(Noun)

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

curvature(Noun)

The extent to which a Riemannian manifold is intrinsically curved.

### Webster Dictionary

Curvature(noun)

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

Curvature(noun)

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

**Origin:** [L. curvatura. See Curvate.]

### Freebase

Curvature

In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this is defined in different ways depending on the context. There is a key distinction between extrinsic curvature, which is defined for objects embedded in another space in a way that relates to the radius of curvature of circles that touch the object, and intrinsic curvature, which is defined at each point in a Riemannian manifold. This article deals primarily with the first concept. The canonical example of extrinsic curvature is that of a circle, which everywhere has curvature equal to the reciprocal of its radius. Smaller circles bend more sharply, and hence have higher curvature. The curvature of a smooth curve is defined as the curvature of its osculating circle at each point. In a plane, this is a scalar quantity, but in three or more dimensions it is described by a curvature vector that takes into account the direction of the bend as well as its sharpness. The curvature of more complex objects is described by more complex objects from linear algebra, such as the general Riemann curvature tensor.

### Numerology

Chaldean Numerology

The numerical value of curvature in Chaldean Numerology is:

**8**Pythagorean Numerology

The numerical value of curvature in Pythagorean Numerology is:

**3**

### Examples of curvature in a Sentence

I think we’re all trying to split hairs at the moment with the

**curvature**of the design of the display.There is no limit to stupidity. Space itself is said to be bounded by its own

**curvature**, but stupidity continues beyond infinity.That

**curvature**of your spine is actually going cause direct pressure on the lower part of your vertebrae, over the course of time, it can cause low back pain.Gravitational waves are literally ripples in the

**curvature**of space-time that are caused by collisions of heavy and compact objects like black holes and neutron stars.We know well that the future is not defined by the

**curvature**of the cucumber but by the bearing of the European man, we are part of Europe and want to shape its future together with the other nations.

### Images & Illustrations of curvature

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## Translations for **curvature**

### From our Multilingual Translation Dictionary

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### Translation

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"curvature." *Definitions.net.* STANDS4 LLC, 2019. Web. 24 Feb. 2019. <https://www.definitions.net/definition/curvature>.