In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.Leibniz defined it as the line through a pair of infinitely close points on the curve.
Gottfried Wilhelm (von) Leibniz
-was a prominent German polymath and one of the most important logicians, mathematicians and natural philosophers of the Enlightenment.
As it passes through the point where the tangent line and the curve meet, called the point of tangency, the tangent line is "going in the same direction" as the curve, and is thus the best straight-line approximation to the curve at that point
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