Paralell Lines One Touches Circle And One Goes Through

Steps

0. Two parallel lines and a circle, one touching and one intersecting.
1. Draw a perpendicular to the lines that passes through the centre of the given circle.
2. Find the center of the line segment formed by the two intersections with the given lines. Name this point S_1, it is the center of one of the solutions.
3. Draw a parallel line i with the given lines that passes through the point S_1.
4. Draw a circle with the radius of the given line + the distance of the point S₁ and one of the intersections.
5. The intersections of this circle with the straight line are the next two solutions, S₂ and S_3.
6. We just draw the final circle from the centers S_1, S_2, S₃ with radius distance of S₁ and one of the intersections.