Tangent Circles
Let's begin:
Start with one large circle with the center labeled as A. Then construct a smaller circle inside the larger circle, label the center B.
Next, place an arbitrary point on each circle. Label the points C and D.
Construct a line segment from
point B to point C. This will be used for the radius of a circle
with center D. Also, create a line that goes through points A
and D.
Now, use the line segment BC to create a like circle with center D.
Label a point, E, that lies on the newly constructed circle and also on the new line.
Next, construct a line segment from point B to point E and label the midpoint F.
Construct a line perpendicular to segment BE and that passes through point F. This line passes through line AD at newly labeled point, G.
Finally, create a circle with a radius equal to the length of GD. This creates our circle that is tangent to the two other circles.
Click on the GSP file to continue to explore tangent circles.