If there is intersection > make line

Grasshopper
1

Hello,
I found intersections between Lines A and Lines B, now I want to make a line from the middle of the Lines A towards the enter section points.
I cannot find any solution to cull the lines that have intersections.
In other words, maybe it is better to call the lines that have intersections, but in the picture, you see all the lines.
,42
temp 2.gh (41.4 KB)

Line A is Blue and Line B is orange

Line%20A%20and%20B

2

I still have no idea which lines are A and which are B.
Just show me in a picture what do you want as an end result.

3

I replied you in this post, I also reply you here.