Definition:Tangent Line/Point of Contact

Definition

Let $f: \R \to \R$ be a real function.

Let the graph of $f$ be depicted on a Cartesian plane.

Let $A = \tuple {x, \map f x}$ be a point on $G$.

Let $\LL$ be tangent to $f$ at $A$.

Then $A$ is known as the point of contact of $\LL$ to $f$.

Also see

• Results about tangents can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): contact, point of
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): contact, point of