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A tangent line t to a circle C intersects the circle at a single point T.For comparison, secant lines intersect a circle at two points, whereas another line may not intersect a circle at all.
A circle is tangent to a point if it passes through the point, and tangent to a line if they intersect at a single point P or if the line is perpendicular to a radius drawn from the circle's center to P. Circles tangent to two given points must lie on the perpendicular bisector. Circles tangent to two given lines must lie on the angle bisector.
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. Many problems and constructions in geometry are related to tangent circles; such problems often have real-life applications such as trilateration and maximizing the ...
The point (x,y) = (0,1) where the tangent intersects the ... The two circles are called externally tangent if the distance between their centres is equal to the ...
For any point outside of the circle there are two tangent points , on circle , which have equal distance to . Hence the circle o {\displaystyle o} with center P {\displaystyle P} through T 1 {\displaystyle T_{1}} passes T 2 {\displaystyle T_{2}} , too, and intersects c {\displaystyle c} orthogonal:
In case of = the circles have one point in common and the radical line is a common tangent. Any general case as written above can be transformed by a shift and a rotation into the special case. The intersection of two disks (the interiors of the two circles) forms a shape called a lens .
Common lines and line segments on a circle, including a secant. A straight line can intersect a circle at zero, one, or two points. A line with intersections at two points is called a secant line, at one point a tangent line and at no points an exterior line. A chord is the line segment that joins two distinct points of a circle. A chord is ...
If a tangent at A and a tangent at B intersect at the exterior point P, then denoting the centre as O, the angles ∠BOA and ∠BPA are supplementary. If AD is tangent to the circle at A and if AQ is a chord of the circle, then ∠DAQ = 1 / 2 arc(AQ).