Tangent to a Curve

Tangent to a Curve

Line that touches a curve at a single point without crossing it.

The limit of a secant to a curve as one of the points of intersection, P’, moves ever closer to the point P while remaining on the curve.

In the case of a circle, the point of contact of the tangent to the circle is called the point of tangency.

The line that contains points P and P’ is a secant to the circle.

Example

The radius r that joins the centre of the circle to the point of tangency P with line t is perpendicular to t.

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