### Construction of Circles Tangent to a Line and a Circle

First construct a circle, a line, and a point on the circle
that is the desired point of tangency, X.

Next construct the line through the center of the circle and
point X, and then the line perpendicular to that line at point
X.

Construct the intersection of the perpendicular with the given
line, and then construct the angle bisectors of the two angles
formed by this intersection.

The intersection of these angle bisectors with the line through
the center of the circle and point X forms the centers of the
two circles that are tangent to both the line and the circle at
point X.