Two Circles Internally Tangent Circles, Line Outside The Circle And Perpendicular To A Line Throught The Centers

Steps

0. This process is also valid for the case that the contact of the circles is on the opposite side (further from the line g).
1. We have circles c and d with centres A and C respectively, circle d touches circle c at point B from the inside. We have a line g which is perpendicular to the line joining the centres of the circles.
2. Construct the line of centres f.
3. Name the intersection of f and g by D.
4. Construct the midpoint of the line |BD| and name it by S.
5. Construct the circle e(S; |SB|), which is the solution