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- Radius_of_curvature_(mathematics) abstract "In geometry, the radius of curvature, R, of a curve at a point is a measure of the radius of the circular arc which best approximates the curve at that point. It is the inverse of the curvature.In the case of a space curve, the radius of curvature is the length of the curvature vector.In the case of a plane curve, then R is the absolute value of where s is the arc length from a fixed point on the curve, φ is the tangential angle and is the curvature.If the curve is given in Cartesian coordinates as y(x), then the radius of curvature is (assuming the curve is differentiable up to order 2): and | z | denotes the absolute value of z.If the curve is given parametrically by functions x(t) and y(t), then the radius of curvature isHeuristically, this result can be interpreted as".
- Radius_of_curvature_(mathematics) thumbnail Ellipse_evolute.svg?width=300.
- Radius_of_curvature_(mathematics) wikiPageID "18421631".
- Radius_of_curvature_(mathematics) wikiPageRevisionID "573758995".
- Radius_of_curvature_(mathematics) hasPhotoCollection Radius_of_curvature_(mathematics).
- Radius_of_curvature_(mathematics) subject Category:Curvature_(mathematics).
- Radius_of_curvature_(mathematics) subject Category:Curves.
- Radius_of_curvature_(mathematics) subject Category:Integral_calculus.
- Radius_of_curvature_(mathematics) subject Category:Multivariable_calculus.
- Radius_of_curvature_(mathematics) subject Category:Theoretical_physics.
- Radius_of_curvature_(mathematics) type Abstraction100002137.
- Radius_of_curvature_(mathematics) type Attribute100024264.
- Radius_of_curvature_(mathematics) type Curve113867641.
- Radius_of_curvature_(mathematics) type Curves.
- Radius_of_curvature_(mathematics) type Line113863771.
- Radius_of_curvature_(mathematics) type Shape100027807.
- Radius_of_curvature_(mathematics) comment "In geometry, the radius of curvature, R, of a curve at a point is a measure of the radius of the circular arc which best approximates the curve at that point.".
- Radius_of_curvature_(mathematics) label "Meridiankrümmung".
- Radius_of_curvature_(mathematics) label "Radio de curvatura".
- Radius_of_curvature_(mathematics) label "Radius of curvature (mathematics)".
- Radius_of_curvature_(mathematics) label "Raio de curvatura".
- Radius_of_curvature_(mathematics) label "Rayon de courbure".
- Radius_of_curvature_(mathematics) sameAs Meridiankrümmung.
- Radius_of_curvature_(mathematics) sameAs Radio_de_curvatura.
- Radius_of_curvature_(mathematics) sameAs Rayon_de_courbure.
- Radius_of_curvature_(mathematics) sameAs Raio_de_curvatura.
- Radius_of_curvature_(mathematics) sameAs m.04f5h_v.
- Radius_of_curvature_(mathematics) sameAs Q2893037.
- Radius_of_curvature_(mathematics) sameAs Q2893037.
- Radius_of_curvature_(mathematics) sameAs Radius_of_curvature_(mathematics).
- Radius_of_curvature_(mathematics) wasDerivedFrom Radius_of_curvature_(mathematics)?oldid=573758995.
- Radius_of_curvature_(mathematics) depiction Ellipse_evolute.svg.
- Radius_of_curvature_(mathematics) isPrimaryTopicOf Radius_of_curvature_(mathematics).