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单词 osculating plane
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osculating plane
osculating plane n. Geometry a plane that osculates a curve at a given point, which is spanned by the tangent and the principal normal at that point.
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a1832 Encycl. Metrop. (1845) II. 154 (heading) On the osculating plane of a curve of double curvature.
1865 Pall Mall Gaz. 25 May 1 Lord Granville..is, as it were, to use a mathematical metaphor, an osculating plane to all the different shades of aristocratic and cultivated liberalism.
1922 Trans. Amer. Math. Soc. 23 224 Their osculating planes form a pencil with the surface normal of P as axis.
1972 M. Kline Math. Thought xxiii. 562 John Bernoulli..wrote to Leibniz in 1698 to point out that the osculating plane (the plane of the osculating circle) at any point of a geodesic is perpendicular to the surface at that point.
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