“Radius of Curvature”的概念、定义、习题解题方法及翻译-数学辞典

单词

Radius of Curvature

释义

Radius of Curvature

The radius of curvature is given by

(1)

where

is the Curvature. At a given point on a curve,

is the radius of the Osculating Circle. The symbol

is sometimes used instead of

to denote the radius of curvature.

Let and be given parametrically by

			(2)
			(3)

then

(4)

where

and

.Similarly, if the curve is written in the form

, then the radius of curvature is given by

(5)

See also Bend (Curvature), Curvature, Osculating Circle, Torsion (Differential Geometry)

References

Kreyszig, E. Differential Geometry. New York: Dover, p. 34, 1991.

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