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Tangency

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The geometric notion meaning that at some point two curves (or a curve and a surface) have a common tangent line, or that two surfaces have a common tangent plane. The order of tangency is a characteristic of the nearness of the two curves (of the curve and the surface, of the two surfaces) in a neighbourhood of their common point. See Osculation.

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See also Tangent vector.

How to Cite This Entry:
Tangency. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Tangency&oldid=17848