There is given a line (AB) , a point C in the line $ C \in (AB) $ and a circle $ \Omega $ Construct the circle $ \omega $ tangent with $ \Omega$ and also tangent in C with (AB) .It should be done with ruler and compass. I can draw (OC) that intercepts $ \Omega $ in E. Than I draw a perpendicular line with (OC) in E. I don't know what else to do.
Imagining the circle we want expanding by the radius of $\Omega$, we see that a circle with the same center goes through the center of $\Omega$ and a $C$ shifted perpendicular to $AB$ by the radius of $\Omega$.
Draw line $CD$ perpendicular to $AB$ through $C$ and then draw the perpendicular bisector of the center of $\Omega$ and the shifted $C$. The circle we want is centered at the intersection of the two lines.