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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

   • C

     3

   • U

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   • R

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   • V

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   • A

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   • T

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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

   • Cached

   Curvature is a measure of how much a curve or surface deviates from being a straight line or a plane. Learn about different types of curvature, such as osculating circle, arc-length parametrization, and general parametrization, with formulas and illustrations.

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

   www.merriam-webster.com › dictionary › curvature

   • Cached

   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 other languages.

6. Videos

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7. math.libretexts.org › Bookshelves › Calculus1.3: Curvature - Mathematics LibreTexts

   math.libretexts.org › Bookshelves › Calculus

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   Feb 27, 2022 · The circle which best approximates a given curve near a given point is called the circle of curvature or the osculating circle 2 at the point. The radius of the circle of curvature is called the radius of curvature at the point and is normally denoted \(\rho\text{.}\) The curvature at the point is \(\kappa=\frac{1}{\rho}\text{.}\)

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

   www.britannica.com › science › curvature

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   Sep 3, 2024 · Curvature is the rate of change of direction of a curve with respect to distance along the curve. Learn about different types of curvature, such as Riemannian, non-Euclidean and manifold curvature, and see examples and figures.

   • Author: The Editors of Encyclopaedia Britannica

9. www.dictionary.com › browse › curvatureCURVATURE Definition & Meaning - Dictionary.com

   www.dictionary.com › browse › curvature

   • Cached

   Curvature is the act of curving or the state of being curved, or the degree of curving of a line or surface. Learn more about the origin, usage and meaning of curvature in geometry and other contexts, with examples and references.

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

    dictionary.cambridge.org › english › curvature

    • Cached

    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.