**Step One:** Construct
a line. Then create a circle with center O.

**Step Two: **Construct
a line that is perpendicular to the given line passing through
the center O.

**Step Three: **Create
lines that pass through points OP, AP, and BP.

**Step Four: **Draw
two lines that are perpendicular to the given line at point C
and point D. The point of intersection of lines l and n will be
the center of one tangent circle, and the second tangent cirlce's
center will serve as the intersecting point of lines n and m.

**Step Five:** Use
the points of intersection created by each turquoise line with
the line OP to construct two circles. These points will be the
centers of the new circles, and the circles will be tangent to
the given line and point P.

Like Animation. Be sure to click the button that says ANIMATE POINT. Notice that the two new circles are always tangent to the given line and point P.