One Point On The Line

Steps

1. Draw the circle of inversion so that its center is the given point lying on the line, and it passes through the second given point.
2. The point that is the center of the solution circle is mapped to infinity. The second given point and the given line remain invariant under this inversion. The circle that is the solution to the problem is mapped to a line passing through the given point and parallel to the given line.
3. Invert the found parallel line back to obtain the solution circle.
4. The problem has one solution.

Steps

1. We draw line g, perpendicular to line f passing through point A.
2. We draw a line segment AB, at the center of which we draw point C.
3. We also construct a perpendicular line to the line segment AB, passing through point C.
4. At the intersection of lines i and g, point D, which is the center of circle k, is located. We draw circle k with the radius of DA.