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  2. Radius of curvature - Wikipedia

    en.wikipedia.org/wiki/Radius_of_curvature

    Radius of curvature and center of curvature. In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or ...

  3. Osculating circle - Wikipedia

    en.wikipedia.org/wiki/Osculating_circle

    The center and radius of the osculating circle at a given point are called center of curvature and radius of curvature of the curve at that point. A geometric construction was described by Isaac Newton in his Principia:

  4. Curvature - Wikipedia

    en.wikipedia.org/wiki/Curvature

    The curvature is the reciprocal of radius of curvature. That is, the curvature is =, where R is the radius of curvature [5] (the whole circle has this curvature, it can be read as turn 2π over the length 2π R). This definition is difficult to manipulate and to express in formulas.

  5. Talk:Radius of curvature (applications) - Wikipedia

    en.wikipedia.org/wiki/Talk:Radius_of_curvature...

    About Wikipedia; Contact us; Contribute Help; ... 2 Curvature confusion. 2 comments. ... Talk: Radius of curvature (applications)

  6. Euler spiral - Wikipedia

    en.wikipedia.org/wiki/Euler_spiral

    Animation depicting evolution of a Cornu spiral with the tangential circle with the same radius of curvature as at its tip, also known as an osculating circle.. To travel along a circular path, an object needs to be subject to a centripetal acceleration (for example: the Moon circles around the Earth because of gravity; a car turns its front wheels inward to generate a centripetal force).

  7. Complex beam parameter - Wikipedia

    en.wikipedia.org/wiki/Complex_beam_parameter

    It can be calculated from the beam's vacuum wavelength λ 0, the radius of curvature R of the phase front, the index of refraction n (n=1 for air), and the beam radius w (defined at 1/e 2 intensity), according to: [1] = ().

  8. Menger curvature - Wikipedia

    en.wikipedia.org/wiki/Menger_curvature

    In mathematics, the Menger curvature of a triple of points in n-dimensional Euclidean space R n is the reciprocal of the radius of the circle that passes through the three points. It is named after the Austrian - American mathematician Karl Menger .

  9. Category:Curvature (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Category:Curvature...

    This page was last edited on 5 November 2024, at 17:14 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.