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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. Curve radius - Wikipedia

    en.wikipedia.org/wiki/Curve_radius

    Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Radius of curvature, the reciprocal of the ...

  4. Differentiable curve - Wikipedia

    en.wikipedia.org/wiki/Differentiable_curve

    The reciprocal of the curvature is called the radius of curvature. A circle with radius r has a constant curvature of κ ( t ) = 1 r {\displaystyle \kappa (t)={\frac {1}{r}}} whereas a line has a curvature of 0.

  5. 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.

  6. 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:

  7. Category:Curvature (mathematics) - Wikipedia

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

    About Wikipedia; Contact us; Contribute Help; ... Download QR code; Print/export Download as PDF; ... Radius of curvature;

  8. 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)

  9. Euler spiral - Wikipedia

    en.wikipedia.org/wiki/Euler_spiral

    Radius of curvature R c: Radius of circular curve at the end of the spiral θ: Angle of curve from beginning of spiral (infinite R) to a particular point on the spiral. This can also be measured as the angle between the initial tangent and the tangent at the concerned point. θ s: Angle of full spiral curve L, s