Kimberly N. Bennekin

Given two circles and a point on one of the circles. Construct a circle tangent to the two circles with one point of tangency being the designated point.

To create the desired circle we will follow these steps:

1) Given the two circles, draw a line though the center of the first circle and a point on the cirlcle.

2) Make another small circle the same radius of the second circle with the center at the designated point.

3) Draw a line segment from the center of the second circle to the point which intersects the third circle and the line. The intersection of the perpendicular bisector of this line segment and the first line is the center of the desired circle.

Thus, the tangent circle is as follows:

To view the construction of this circle, click on the script below.

Tangent Cirlces

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