Connecting points with polylines in arcs intersection

Hi,

I was wondering if you all could help me. I have a group of arcs that I have intersected, but the problem is the order of the outputs points and also some of the intersections point od the curves are not been recognised. I need to organize the points by there z value as to be able to join each group of curves with a line. When I try organizing them with a sort list by there z value, I got the points for both sides of the arches in a same list so, when I create a polyline all of these points get connected by a single polylines. What I think I need is to be able to organize the points, by there x value and after that by there y value as to be able to separate the points on each side of the arches. 

Bellow there are a few images of the final outcome I am looking for.

Thank you of all your help :)