Get list of connecting lines/arcs

Hello Experts,

I am having some line segments & arcs connected, my bottom line is fixed(as L1) now with respect to this I have to create list in order of matching end point start point of lines/arcs in clockwise direction.
In list I want connected lines arcs so that I can name them as L1,L2,A3,L4,A5 etc.
L2 will have start point or end point matching with endpoint of L1
A3(Arc) will have start point or endpoint matching with start point or end point of L2.
I have start & end points of arcs & lines.
I am struggling with the data.
Any help appreciated.
THanks
If you have the endpoints, what are you asking? Do you know the slopes of the lines, or 2 points on them?

or making the list itself? It should just be if the x and y coordinate match over points in 2 objects, the point is shared.
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