Two Divergent Lines, Both Tangential To A Circle

Steps

1. Construct the axis of the angle that also passes through the center of the assigned circle A, and name it j.
2. Find the intersection of the given circle and the angle axis j and name it H, then construct a perpendicular l to the angle bisector j passing through the point H.
3. Trace out an angle bisector of the perpendicular l and one of the given lines.
4. Name the intersection of this angle bisector and the angle bisector j S₁, this is the center of the first circle we are looking for.
5. Construct a circle with center S₁ and radius HS₁.
6. Name the second intersection of the given circle and the angle bisector j I and construct the perpendicular m to the angle bisector j passing through the point I.
7. Construct the angle bisector of the perpendicular m and one of the assigned lines.
8. Name the intersection of this angle bisector and the angle bisector j S₂, this is the center of the second circle we are looking for.
9. Construct a circle with center S₂ and radius IS₂.
10. Construct an angle bisector that is perpendicular to the angle bisector j and passes through the intersection of the assigned lines. Name it k.
11. Construct a perpendicular to one of the assigned lines so that it passes through point A and name it h. Name the intersection of the perpendicular, the given line and the given circle E.
12. Name the intersection of the bisector of angle k and the perpendicular h S₃, this is the center of the third circle we are looking for.
13. Construct a circle with center S₃ and radius ES₃.
14. Construct a perpendicular to the second of the assigned lines so that it passes through point A and name it i. Name the intersection of the perpendicular, the assigned line and the assigned circle D.
15. Name the intersection of the angle bisector k and the perpendicular i S₄, it is the centre of the last circle we are looking for.
16. Construct a circle with center S₄ and radius DS₄.