Tangent Line
In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that "just touches" the curve at that point. As it passes through the point of tangency, the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.
In a similar way, the tangent plane to a surface at a given point is the plane that "just touches" the surface at that point.
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