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1. Dictionary

   curvature

   /ˈkəːvətʃ(ʊ)ə/

   noun

   • 1. the fact of being curved or the degree to which something is curved: "spinal curvature"
   • ▪ the degree to which a curve deviates from a straight line, or a curved surface deviates from a plane.
   • ▪ a numerical quantity expressing curvature.

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

   Scrabble Points: 14

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2. People also ask

   What is the formula for curvature?

   • The commonly used results and formulas of curvature and radius of curvature are as shown below: 1. Curvature K K and radius of curvature ρ ρ for a Cartesian curve is ρ = [1 +(dy dx)2]3/2∣∣d2y dx2∣∣ = 1 K ρ = [ 1 + ( d y d x) 2] 3 / 2 | d 2 y d x 2 | = 1 K 2.

   Formulas of Curvature and Radius of Curvature | eMathZone

   www.emathzone.com/tutorials/math-results-and-formulas/formulas-of-curvature-and-radius-of-curvature.html

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   How do you find the radius of a curve?

   • Step 1: Divide the depth by 2. Step 2: Square your length. Step 3: Multiply the depth by 8. Step 4: Divide the result from step 2 by the result from step 3. Step 5: Add the number from step 1 to the number from step 4. This is your radius. You will need a tape measure and a calculator. This formula assumes that you have a consistent curve. 1.

   Calculating A Minimum Radius | UK Home Interiors

   www.ukhomeinteriors.co.uk/knowledge/calculating-minimum-radius/

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   What are the units of curvature in math?

   • Then the units for curvature and torsion are both m−1. Explanation#1(quick-and-dirty, and at least makes sense for curvature): As you probably know, the curvature of a circle of radius r is 1/r. In other words, if you expand a circle by a factor of k, then its curvature shrinks by a factor of k. This is consistent with the units of curvature ...

   Units for Curvature andTorsion

   jlmartin.ku.edu/~jlmartin/courses/math223-F10/units.pdf

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3. en.wikipedia.org › wiki › CurvatureCurvature - Wikipedia

   en.wikipedia.org › wiki › Curvature

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   In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane. If a curve or surface is contained in a larger space, curvature can be defined extrinsically relative to the ambient space.

4. www.merriam-webster.com › dictionary › curvatureCurvature Definition & Meaning - Merriam-Webster

   www.merriam-webster.com › dictionary › curvature

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   Learn the meaning of curvature as the act of curving, the state of being curved, or a measure of curving. See synonyms, examples, word history, and related phrases of curvature.

5. dictionary.cambridge.org › english › curvatureCURVATURE | English meaning - Cambridge Dictionary

   dictionary.cambridge.org › english › curvature

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   Curvature is the state of being curved or bent, or the way in which something curves. Learn more about the meaning, usage and examples of curvature in English and American dictionaries.

6. Videos

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7. www.britannica.com › science › curvatureCurvature | Riemannian, Non-Euclidean & Manifolds | Britannica

   www.britannica.com › science › curvature

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   Jun 14, 2024 · Curvature, in mathematics, the rate of change of direction of a curve with respect to distance along the curve. At every point on a circle, the curvature is the reciprocal of the radius; for other curves (and straight lines, which can be regarded as circles of infinite radius), the curvature is the

   • Author: The Editors of Encyclopaedia Britannica

8. www.dictionary.com › browse › curvatureCURVATURE Definition & Meaning | Dictionary.com

   www.dictionary.com › browse › curvature

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   noun. the act of curving or the state of being curved. a curved condition, often abnormal: curvature of the spine. the degree of curving of a line or surface. Geometry. (at a point on a curve) the derivative of the inclination of the tangent with respect to arc length. the absolute value of this derivative. something curved. curvature.

9. dictionary.cambridge.org › english › curvatureCURVATURE | definition in the Cambridge English Dictionary

   dictionary.cambridge.org › english › curvature

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   Curvature is the state of being curved or bent, or the way in which something curves. Learn more about the meaning, usage and examples of curvature in English and other languages.

10. www.collinsdictionary.com › english › curvatureCURVATURE definition and meaning | Collins English Dictionary

    www.collinsdictionary.com › english › curvature

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    Curvature is the curved shape or degree of bending of something, such as a line, surface, or body part. Learn the meaning, synonyms, pronunciation, and usage of curvature in different contexts, with examples from Collins English Dictionary.