... touches each circle in exactly one point on each circle.
given any two circles where none is entirely inside or inside and tangent to the other, there are at most four straight lines that are tangent to both circles.
Chat with our AI personalities
You join the centres of the two circles. Divide this line in the ratio of the two radii. Draw the tangent from this point to either circle and extend it to touch the other circle.
A straight line touches the circumference of a circle only at one point and it is a tangent line
If the tangent circles are outside of one another, then neither passes through the center of the other. If one circle is within the other, then the inner tangent circle might contain the center point of the larger circle. There will be infinitely many inner tangent circles that do not.
The radius-tangent theorem states that a radius drawn to the point of tangency of a circle is perpendicular to the tangent line at that point. This theorem is based on the fact that the radius of a circle is always perpendicular to the tangent line at the point where the tangent touches the circle. This relationship is crucial in geometry and helps in solving various problems related to circles and tangents.
No, because a tangent is the line lying on the same plane or it means there are not in the same line.