Definitions for tangent plane
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Princeton's WordNet
tangent plane(noun)
the plane that contains all the lines tangent to a specific point on a surface
Wiktionary
tangent plane(Noun)
Given a point P on a surface M, the tangent plane of M at point P, denoted by T(M), is the plane passing through P which contains the tangent lines of all the curves on M passing through P.
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"tangent plane." Definitions.net. STANDS4 LLC, 2013. Web. 22 May 2013. <http://www.definitions.net/definition/tangent plane>.