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单词 circle of curvature
释义

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circle of curvature
circle of curvature n. (see curvature n.).extracted from circlen.
circle of curvature
circle of curvature n. the circle that touches a curve at a given point so as to have the same tangent at that point and which, of all such circles, offers the closest approximation to the curve; = osculating circle n. at osculating adj. Compounds.
ΚΠ
1742 C. MacLaurin Treat. Fluxions I. xi. 305 This circle is called the circle of curvature, its center the center of curvature, and its semidiameter the ray of curvature, belonging to the point of contact.
1889 J. M. Taylor Elements Differential & Integral Calculus xii. 172 At a point of maximum or minimum curvature, the circle of curvature does not cut the curve.
1980 R. B. Angel Relativity vii. 150 If the curve happens to be turning sharply at the given point then the circle of curvature at that point will be relatively small.
2007 Computer-aided Design 39 126/2 Any circle of curvature of a spiral encloses all smaller circles of curvature and is enclosed by all larger circles of curvature.
extracted from curvaturen.
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更新时间:2024/11/10 22:34:01