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In geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency: internal and external.
A tangent is a straight line that never enters the interior of the circle. The tangent makes a right angle at the point of tangency with the radius of a circle. Tangents drawn from an external point to a circle have the same length. A circle can have infinitely many tangents.
The tangent is a straight line that touches the circle at only one point. It is perpendicular to the radius at the point of tangency. It never enters the circle's interior. The lengths of two tangents to a circle from the same external point are equal.
If each side of a polygon is tangent to a circle, the circle is said to be inscribed in the polygon and the polygon is said to be circumscribed about the circle. In Figure \ (\PageIndex {7}\) circle 0 is inscribed in quadrilateral \ (ABCD\) and \ (ABCD\) is circumscribed about circle \ (O\).
Finding the circles tangent to three given circles is known as Apollonius'... Two circles with centers at (x_i,y_i) with radii r_i for i=1,2 are mutually tangent if (x_1-x_2)^2+(y_1-y_2)^2=(r_1+/-r_2)^2.
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point.
In geometry, a tangent is a line or plane that touches a curve or curved surface at one point only. Tangent lines to circles are perpendicular to the radius at the point of tangency, and the tangent line to an ellipse is the line that touches it at exactly one point.
