Curvature: meaning, definitions and examples

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curvature

 

[หˆkษœหvษ™tสƒษ™r ]

Definitions

Context #1 | Noun

math

The quality of being curved or the amount by which something is curved.

Synonyms

arc, bend, curve.

Which Synonym Should You Choose?

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Word Description / Examples
curvature

Use this term when describing the smooth, continuous change in the direction of a surface or line, especially in mathematics, physics, or anatomy.

  • The curvature of the Earth affects long-distance travel routes
  • The doctor noted the abnormal curvature of the patient's spine
curve

Suitable for describing a smooth, gradual change in direction, often used in both everyday language and technical contexts. It can relate to roads, graphs, shapes, and more.

  • The road curves around the mountain
  • The graph shows a steady curve indicating growth over the year
bend

Use this word in everyday situations when describing a change in direction, especially in roads, paths, or objects. It can also refer to the act of physically bending something.

  • The river takes a sharp bend here
  • She had to bend the wire to fit it into the loop
arc

This word is appropriate when referring to a segment of the circumference of a circle or a smooth curve resembling part of a circle. Often used in geometry, storytelling, and physics.

  • The rainbow formed a beautiful arc across the sky
  • The character's development followed a compelling narrative arc

Examples of usage

  • The road has a gentle curvature.
  • The curvature of the earth.
Context #2 | Noun

physics

The rate at which the direction of a point on a curve changes with respect to the arc length of the curve.

Synonyms

angular velocity, rotation.

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Word Description / Examples
curvature

Used when talking about the amount by which a curve deviates from being straight. It's commonly used in geometry, physics, and descriptions of shapes.

  • The curvature of the Earth causes ships to disappear from view
  • The curvature of the road makes it difficult to drive fast
angular velocity

Used in physics and engineering to describe how quickly an object is rotating around a particular axis. It details the rate of change of the angular position of an object.

  • The angular velocity of the fan can be adjusted with the remote control
  • Scientists measured the angular velocity of the rotating disk
rotation

Describes the act of an object spinning around a center or axis. It can be used generally for everyday objects or in scientific contexts.

  • The rotation of the Earth causes day and night
  • After the gymnastics routine, the coach commented on her smooth rotation

Examples of usage

  • The curvature of the wave.
Context #3 | Noun

anatomy

The condition of being curved or bent. In anatomy, it refers to the curving of the spine or a specific bone.

Synonyms

bending, flexure.

Which Synonym Should You Choose?

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Word Description / Examples
curvature

Used in technical or specialized contexts, such as engineering or physics, to describe the shape or form of an object.

  • The aircraft's design includes a gentle curvature to improve aerodynamics
  • The architect appreciated the smooth curvature of the structure
bending

This word is typically used in everyday language to describe the action of making something curved or the result of that action.

  • She was bending the wire to make a hook
  • The tree showed signs of bending after the strong winds
flexure

This term is often found in technical or scientific literature, particularly in fields like geology, engineering, or anatomy, to describe a curve or bend.

  • The flexure of the bridge under heavy load was within acceptable limits
  • The geological survey showed significant flexure in the rock layers

Examples of usage

  • The curvature of the spine.
  • Abnormal curvatures in the bones.

Interesting Facts

Mathematics

  • Curvature is defined as how much a curve deviates from being a straight line.
  • In geometry, there are different types of curvature: positive (like a circle), negative (like a saddle), and zero (like a flat line).
  • Curvature helps mathematicians describe shapes in two or three dimensions and is essential in understanding complex surfaces.

Physics

  • In Einstein's theory of General Relativity, gravity is described as the curvature of space and time caused by mass.
  • Black holes are areas of extreme curvature in spacetime where gravity is so strong that nothing can escape.
  • Curvature plays a critical role in understanding the orbits of planets, as their paths are affected by the curvature of space around them.

Art and Design

  • Artists often use curvature to create a sense of movement and flow in their work, such as in paintings or sculptures.
  • Architects consider curvature when designing buildings, as curved structures can enhance aesthetics and stability.
  • The art of calligraphy relies heavily on curvature, with each stroke creating elegant, flowing lines.

Nature

  • In nature, curvature is seen in the shape of leaves and flowers, which can attract pollinators with their appealing shapes.
  • The curvature of the Earth affects climate zones and weather patterns around the globe.
  • Many animals have evolved body shapes with specific curvature for enhanced movement, such as fish with curved bodies for swimming.

Technology

  • Curvature is critical in fields like computer graphics, where it helps create realistic 3D models.
  • In robotics, understanding the curvature of objects allows for better design of robotic arms and automated tools.
  • Curved screens in televisions and smartphones enhance viewing experiences by providing a more immersive image.

Translations

Translations of the word "curvature" in other languages:

๐Ÿ‡ต๐Ÿ‡น curvatura

๐Ÿ‡ฎ๐Ÿ‡ณ เคตเค•เฅเคฐเคคเคพ

๐Ÿ‡ฉ๐Ÿ‡ช Krรผmmung

๐Ÿ‡ฎ๐Ÿ‡ฉ kelengkungan

๐Ÿ‡บ๐Ÿ‡ฆ ะบั€ะธะฒะธะทะฝะฐ

๐Ÿ‡ต๐Ÿ‡ฑ krzywizna

๐Ÿ‡ฏ๐Ÿ‡ต ๆ›ฒ็Ž‡ (ใใ‚‡ใใ‚Šใค)

๐Ÿ‡ซ๐Ÿ‡ท courbure

๐Ÿ‡ช๐Ÿ‡ธ curvatura

๐Ÿ‡น๐Ÿ‡ท eฤŸrilik

๐Ÿ‡ฐ๐Ÿ‡ท ๊ณก๋ฅ 

๐Ÿ‡ธ๐Ÿ‡ฆ ุชู‚ูˆุณ

๐Ÿ‡จ๐Ÿ‡ฟ zakล™ivenรญ

๐Ÿ‡ธ๐Ÿ‡ฐ zakrivenie

๐Ÿ‡จ๐Ÿ‡ณ ๆ›ฒ็Ž‡

๐Ÿ‡ธ๐Ÿ‡ฎ krivina

๐Ÿ‡ฎ๐Ÿ‡ธ beygja

๐Ÿ‡ฐ๐Ÿ‡ฟ า›ะธัั‹า›ั‚ั‹า›

๐Ÿ‡ฌ๐Ÿ‡ช แƒ›แƒ แƒฃแƒ“แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ ษ™yrilik

๐Ÿ‡ฒ๐Ÿ‡ฝ curvatura

Word Frequency Rank

Position #7,796 indicates this is an advanced-level word. While not essential for basic communication, it will enhance your ability to understand and create more nuanced content.