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单词 circle of curvature
释义

circle of curvature

英汉-汉英词典
[数]曲率圆
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    circle of curvature contact 曲率圆
circle of curvature [数] 曲率圆
英语百科

Osculating circle

(重定向自Circle of curvature)
An osculating circle
The osculating circle of the parabola at its vertex has radius 0.5 and fourth order contact.
Circunferencia osculatriz.

In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line, and its curvature is the same as that of the given curve at that point. This circle, which is the one among all tangent circles at the given point that approaches the curve most tightly, was named circulus osculans (Latin for "kissing circle") by Leibniz.

近义、反义、联想词
近义词
n.
circle

英英词典
circle of curvature n.
  1. the circle that touches a curve (on the concave side) and whose radius is the radius of curvature

  2. synonymous: osculating circle
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