### Definition of Radius of curvature

1. Noun. The radius of the circle of curvature; the absolute value of the reciprocal of the curvature of a curve at a given point.

### Definition of Radius of curvature

1. Noun. (mathematics for any point on a curve) The radius of the osculating circle at the point on the curve ¹

¹ Source: wiktionary.com

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### Literary usage of Radius of curvature

Below you will find example usage of this term as found in modern and/or classical literature:

1. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1865)
"0, the radius of curvature at the origin is the same as for the conic ul + ut. For it will be remembered that the ordinary expression for the radius of ..."

2. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"Thus, to find the radius of curvature of the section by the plane arz, we have only to make y = 0 in the equation, and •we get a curve whose radius of ..."

3. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"Thus, to find the radius of curvature of the section by the plane zz, we have only to make y = 0 in the equation, and we get a curve whose radius of ..."

4. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1874)
"Thus, to find the radius of curvature of the section by the plane a;z, we have only to make y = Q in the equation, and we get a curve whose radius of ..."

5. Differential and Integral Calculus by Clyde Elton Love (1916)
"radius of curvature. The reciprocal of the curvature is called the radius ... If a length equal to the radius of curvature p at the point P be laid off on ..."

6. A Treatise on Conic Sections: Containing an Account of Some of the Most by George Salmon (1879)
"To find the radius of curvature of a parabola. The equation referred to any diameter and tangent being „' y*=p'x, the radius of curvature (Art. 241) is . ..."

7. Elements of the Differential and Integral Calculus by William Anthony Granville, Percey Franklyn Smith (1904)
"160], the radius of curvature of a curve at a point is defined as the reciprocal of ... Denoting the radius of curvature by R, we have * The details of this ..."

8. Elements of the Differential and Integral Calculus by William Anthony Granville, Percey Franklyn Smith (1904)
"160], the radius of curvature of a curve at a point is defined as the ... Denoting the radius of curvature by R, we have •4* * The details of this ..."