radius of curvature

American  

noun

Mathematics.

1. the absolute value of the reciprocal of the curvature at a point on a curve.

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radius of curvature British  

noun

1. the absolute value of the reciprocal of the curvature of a curve at a given point; the radius of a circle the curvature of which is equal to that of the given curve at that point See also centre of curvature

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Etymology

Origin of radius of curvature

First recorded in 1745–55

Example Sentences

Both wedging and interleaving can be quantified in units of radius of curvature, so are ideal for characterizing curved epithelia.

From Nature • Sep. 9, 2018

We call r the radius of curvature of the curve, and it is equal to the reciprocal of the curvature.

From Textbooks • Mar. 30, 2016

Where is the filament of the light in relation to the focal point or radius of curvature of each mirror?

From Textbooks • Aug. 12, 2015

Figure 6.38 Teardrop-shaped loops are used in the latest roller coasters so that the radius of curvature gradually decreases to a minimum at the top.

From Textbooks • Aug. 12, 2015

It is an application of the principle of having the cutting tool as long as the radius of curvature, and allowing it to move about the centre of curvature.

From On Laboratory Arts by Threlfall, Richard