Parallel Lines With A Circle Between Them, One Is Tangential To The Circle

Steps

1. Draw the axis of the parallel lines i
2. Draw an auxiliary circle with the same distance as between the two parallels
3. Draw a parallel j that intersects the centre of the given circle
4. Take the circle from the second step into the compass and draw a circle b centered at point A while keeping the size of the previously sampled circle.
5. Take the given circle a in the compass. Transfer it to the intersection of B and name the circle c. (Intersection of circle b and axis j)
6. Draw a circle d of size r = |AC|. (C is the intersection of circle c with the axis j)
7. The intersections of circle d and the axis of the parallel lines are the centers of two of the three resulting circles.
8. Draw a perpendicular line l to the parallel lines that intersects the center of the given circle a.
9. The intersection of the perpendicular l and the axis of the parallels is the center of the third resulting circle.