What is another word for curvature? In this page you can discover 30 synonyms, antonyms, idiomatic expressions, and related words for curvature, like: **round**, turn, straight, curving, bend, shape, deflection, curve, arch, roughness and concavity.

## What is positive curvature?

If you have a triangle in positive curvature, **the sum of the angles of a triangle is bigger than 180 degrees**. Negative curvature, similarly, means the sum of the angles is less than 180 degrees. You might think about what this means on a Pringles potato chip!

## What is curvature in English?

1 : 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.

## What is curvature of a curve?

Intuitively, the curvature is **the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane**. For curves, the canonical example is that of a circle, which has a curvature equal to the reciprocal of its radius. Smaller circles bend more sharply, and hence have higher curvature.

## What is the opposite of curvature?

Opposite of to bend or turn in a curved direction or motion. **straighten**. **unbend**.

## What does positive curvature look like?

Thus **the top of your head, the end of your finger, or the inside of your armpit** are points of positive curvature. The first image below, a bump, shows positive curvature. A surface has negative curvature at a point if the surface curves away from the tangent plane in two different directions.

## What is normal curvature?

Normal curvatures for **a plane surface are all zero**, and thus the Gaussian curvature of a plane is zero. For a cylinder of radius r, the minimum normal curvature is zero (along the vertical straight lines), and the maximum is ^{1}/_{r} (along the horizontal circles). Thus, the Gaussian curvature of a cylinder is also zero.

## What does negative curvature look like?

Negatively curved surfaces also exist – they are **shaped somewhat like an infinitely extended saddle** – and Euclidean geometry does not apply to these surfaces either. For example, the angles of a triangle add up to less than 180^{o}. … Space has positive curvature, i.e. it is shaped as a hypersphere (3D spherical surface)

## How do you use curvature in a sentence?

Curvature in a Sentence

- Because of her spine’s curvature, the girl had to see a specialist for straightening.
- The scientists measured the curvature of the wave to see just how high it would had risen.
- The satellite is being used to measure the curvature of certain rounded objects floating in space.

## What is curvature eye?

In a perfectly shaped eye, each of these elements has a **round curvature**, like the surface of a smooth ball. A cornea and lens with such curvature bend (refract) all incoming light equally to make a sharply focused image directly on the retina, at the back of your eye.

## What is the formula for curvature of the curve?

The curvature(K) of a path is measured using the radius of the curvature of the path at the given point. If y = f(x) is a curve at a particular point, then the formula for curvature is given as **K = 1/R**.

## Can curvature be negative?

The **Gaussian curvature** can also be negative, as in the case of a hyperboloid or the inside of a torus. Gaussian curvature is an intrinsic measure of curvature, depending only on distances that are measured on the surface, not on the way it is isometrically embedded in Euclidean space.

## What does sinuous mean in English?

1a : **of a serpentine or wavy form** : winding. b : marked by strong lithe movements. 2 : intricate, complex.

## What is another name for a curved stick?

What is another word for curve?

bend |
arch |
---|---|

swerve | crook |

curl | hook |

spiral | bulge |

meander | round |

## Is curvilinear a word?

or cur·vi·lin·e·al

**consisting of or bounded by curved lines**: a curvilinear figure. … formed or characterized by curved lines.

## Is space flat or curved?

As far as cosmologists can tell, **space is almost perfectly flat**. But what does this mean? The theory of general relativity, under which space itself can curve, allows for the universe to take one of three forms: flat like a sheet of paper, closed like a sphere, or open like a saddle.

## Does a plane have positive curvature?

Because **one principal curvature is negative, one is positive**, and the normal curvature varies continuously if you rotate a plane orthogonal to the surface around the normal to the surface in two directions, the normal curvatures will be zero giving the asymptotic curves for that point.

## Can radius of curvature negative?

The distance from the vertex to the center of curvature is the radius of curvature of the surface. The sign convention for the optical radius of curvature is as follows: … **If the vertex lies to the right of the center of curvature, the radius of curvature is negative**.

## What is maximum curvature?

The curvature is greatest **near x=2 and y=0** and x=-2 and y=0. … These points correspond to t=0 and t=pi. In the above expression for the curvature, the denominator is at its minimum when t=0 or t=pi, implying the curvature is at a maximum.

## What is the normal curvature of spine?

A healthy spine with a normal curvature should still be centred on the pelvis, and more or less straight when viewed from behind. While most people have a slight sideways curve, the spine should **not curve more than 10 degrees to the left or right**.

## How do you measure the curvature of a surface?

To measure the curvature at a point you have **to find the circle of best fit at that point**. This is called the osculating (kissing) circle. The curvature of the curve at that point is defined to be the reciprocal of the radius of the osculating circle.

## Can a curvature be negative?

The **Gaussian curvature can also be negative**, as in the case of a hyperboloid or the inside of a torus. Gaussian curvature is an intrinsic measure of curvature, depending only on distances that are measured on the surface, not on the way it is isometrically embedded in Euclidean space.

## Can curvature k negative?

A two-dimensional surface in three-dimensional Euclidean space that has negative Gaussian curvature **K<0 at every point**. … The concept of a surface of negative curvature can be generalized, for example, with respect to the dimension of the surface itself or the dimension and structure of the ambient space.

## What does discernible mean in English?

: **able to be perceived by a sense** (such as sight or smell) or by the mind : capable of being discerned a discernible difference It is thought that the genes that normally produce a white underbelly in the gray squirrel are active in a wider area of their bodies, often leaving discernible gray patches on the spine and …

## What do you mean by the Centre of curvature?

: **the center of the circle whose center lies on the concave side of a curve on the normal to a given point of the curve and whose radius is equal to the radius of curvature at that point**.

## What is curvature in biology?

Definition of curvature: **A curved line gradually changes direction from one point to the next**. The rate of this change in direction, per unit length along the curve (deltaAngle / distance) is called the curvature.

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