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If there are two nonoverlapping nonintersecting circles in a plane four lines can be tangent to both circles at the same time How could the circles be arranged so that there are 3 or 2 or 1 or 0 li?
Wiki User
∙ 14y ago
Hey, this one is nice! I will venture the following: * 3: make them tangent in one point, with no intersection * 2: make them have a small intersection, ie. crossing in two points * 1: make them tangent from the inside * 0: make one fall completely within the other Giving the explanation would just be killing the imagination.
Wiki User
∙ 14y ago
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Can a line be tangent to one circle and a secant to the other in concentric circles?
Yes, it can as long as it is not the tangent line of the outermost circle. If it is tangent to any of the inner circles it will always cross the outer circles at two points--so it is their secant line--whereas the tangent of the outermost circle is secant to no circle because there are no more circles beyond that last one.
What are two coplanar circles that intersect at exactly one point?
Tangent circles.
How many circles can be tangent to each of two intersecting lines?
Infinte
What is an Apollonian gasket?
An Apollonian gasket is a mathematical term for a fractal generated from triples of circles, where each circle is tangent to the other two.
What is the locus of the centers of circles that are tangent to a given circle O at a given point A on circle O?
Join the centre of the circle O and the point A .Extend it to both sides to form a line.This is the required locus
Are tangent circles two circles that are tangent to the same line at the same point?
Yes.
What are tangent circles?
Tangent circles are circles that touch one another without crossing. The distance between the centres of the circles must be equal to the difference or the sum of their radii.
Do tangent circles have the same center?
No, tangent circles do not have the same center. They just touch at the side. Here is an example:
Can two circles be tangent at the same point?
If the two circles are tangent to each other,then it must be at the same point.
Can a tangent circle be concentric?
No; tangent circles touch each other at one point but concentric circles cannot not touch.
Are circles tangent when they meet at a single point?
Yes, circles that share one and only one point are tangent to each other.
Can a line be tangent to one circle and a secant to the other in concentric circles?
Yes, it can as long as it is not the tangent line of the outermost circle. If it is tangent to any of the inner circles it will always cross the outer circles at two points--so it is their secant line--whereas the tangent of the outermost circle is secant to no circle because there are no more circles beyond that last one.
What are two coplanar circles that intersect at exactly one point?
Tangent circles.
A line that is tangent to two circles?
... 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.
The definition of external tanget?
An external tangent is a line that is tangent to both circles but does not pass between them.
What is a tangent intersecting the segment joining the centers of the two circles?
They are the common tangents to the circles.
Definition of tangent in a circle?
A tangent to a circle is a line from a point outside the circles which touches the circle at a single point.
