单词 | osculating plane |
释义 | > as lemmasosculating 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. ΚΠ 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. < as lemmas |
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