Tangents

In geometry, the tangent line (or simply the tangent) to a plane curve at a given point is the straight line that “just touches” the curve at that point (http://en.wikipedia.org/wiki/Tangent).

Tangent Properties, part I

Tangent Properties, part II

How to construct tangent lines to a circle

Common tangent

 “…We are going to learn the meaning of common tangent and before knowing common tangents we have to understand the meaning of tangent. A tangent is a line which lies outside the circle and also touches the circle at one point on the circumference of circle with a condition that Straight Line which touches the circumference of circle is also perpendicular to the Radius of Circle. Now, we are going to learn the meaning of common tangent which means that when a line touches a circle at one point on circumference and also perpendicular to its radius and this same line touches the other circle at one point on circumference and is again perpendicular to its radius then it is called as common tangent.
We called this as common tangent because a single line is tangent for two different circles.

There are two types of common tangent which are:
1. Internal common tangent and,
2. External common tangent.

If common tangents intersect the line joining the centers of both the circle then it is called as Internal Common Tangents and if a line touches two circle and also perpendicular to radius but not intersecting the line joining the centers of both the circles then it is defined as external common tangents.” Tutorcircle.

How to construct external tangents

How to construct internal tangents

Internal Tangents

For further information, clic here!

 

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