About: Radius of curvature

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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 combinations thereof.

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rdfs:label	نصف قطر الانحناء (ar) Radio de curvatura (es) Rayon de courbure (fr) 곡률반지름 (ko) Radius of curvature (en) Raio de curvatura (pt)
rdfs:comment	El radio de curvatura es una magnitud que mide la curvatura de un objeto geométrico tal como una línea curva, una superficie o más en general una variedad diferenciable embebida en un espacio euclídeo. (es) 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 combinations thereof. (en) Le rayon de courbure d'un tracé, en général noté ρ (lettre grecque rhô) indique son niveau d'incurvation : plus le rayon de courbure est élevé, plus le tracé se rapproche d'une ligne droite, et inversement. Mathématiquement, le rayon de courbure est la valeur absolue du rayon du cercle tangent à la courbe au point recherché, cercle qui y « épouse cette courbe le mieux possible ». Ce cercle est appelé cercle osculateur à la courbe en ce point. Le rayon de courbure est aussi l'inverse de la courbure γ : ρ = 1/γ. (fr) 곡률반지름은 곡률의 역수로, 곡선에 가장 멀리하는 원호의 반지름으로 정의된다. (ko) Na geometria diferencial, o raio de curvatura, R, é o recíproco da curvatura . Para uma curva, é igual ao raio do arco circular que melhor se aproxima da curva naquele ponto. Para superfícies, o raio de curvatura é o raio de um círculo que melhor se ajusta a uma ou a suas combinações . (pt) في الهندسة الرياضية، نصف قطر الانحناء (R) لمنحنى ما عند نقطة معينة هو قياس نصف قطر القوس الدائري والذي يعتبر أفضل تقريب للمنحنى عند هذه النقطة. حيث أنه معكوس للتقويس (الإنحناء). * في حالة منحنى فراغى، فإن نصف قطر القوس يساوى طول متجه القوس. * اما في حالة منحنى مستوى، فإن نصف قطر القوس يساوى القيمة المطلقة ل حيث s هو طول القوس من نقطة مثبتة على المنحنى، و φ هي الزاوية المماسية و هو الانحناء. * إذا كان المنحنى المعطى بالإحداثيات الديكارتية (الكارتيزية) مثل (y(x، فإن نصف قطر القوس يكون (بفرض أن المنحنى تفاضلى للدرجة الثانية) ، حيث: ، و \|z\| يعبر عن القيمة المطلقة ل z. (ar)
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dcterms:subject	Differential geometry Theoretical physics Curvature (mathematics) Curves Integral calculus Multivariable calculus
Wikipage page ID	18421631 (xsd:integer)
Wikipage revision ID	1091031835 (xsd:integer)
Link from a Wikipage to another Wikipage	Cartesian coordinates Beam (structure) Bend radius Printed electronics Arc length Arc measurement Curve Degree of curvature Differential geometry Theoretical physics Circle Coefficient of thermal expansion Ellipse Curvature (mathematics) Stress (mechanics) Parametric equation Cesàro equation Absolute value Curvature Earth radius Base curve radius Osculating circle Graph of a function Minimum railway curve radius Thermal expansion Thin film Radius AFM probe Tangential angle Plane curve Curves Integral calculus Surface (mathematics) Differential geometry Circular arc Buckling Multivariable calculus Radius of curvature (optics) Semiconductor Vertex (curve) Normal section Track transition curve Scalar product Curvature vector Semi-circle Space curve dbr:Intrinsic_stress dbr:Stoney_formula
Link from a Wikipage to an external page	http://math.mit.edu/classes/18.013A/HTML/chapter15/section03.html http://www.geom.uiuc.edu/zoo/diffgeom/surfspace/concepts/curvatures/prin-curv.html
sameAs	Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature Radius of curvature
dbp:wikiPageUsesTemplate	dbt:= dbt:About dbt:Cite_book dbt:Div_col dbt:Div_col_end dbt:Further dbt:Math dbt:MathWorld dbt:Mvar dbt:Reflist

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