what is tangent
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1)a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
2)a completely different line of thought or action
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In geometry, the tangent line 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.
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