Change start point on closed polycurve

Good morning.
I am trying to change the starting point of the list of polycurves that I have, since these vary a lot in their location.
I have made an intersection obtaining points that will be the reference to relocate the starting point of the polycurve… how could I do this operation… thanks to all.

I simply created a python code for you.
It returns regenerated PolyCurves which have startpoints as nearest point to other geometry.(line, point… )

# Load the Python Standard and DesignScript Libraries
import sys
import clr
clr.AddReference('ProtoGeometry')
from Autodesk.DesignScript.Geometry import *


# The inputs to this node will be stored as a list in the IN variables.
dataEnteringNode = IN
def rotate(l,n):#define shift list order
	return l[n:]+l[:n]
# Place your code below this line
geo=IN[0]#any geometry(line,point....)
pcurves=IN[1]
new=[]
for pcv in pcurves:
	lines=pcv.Explode()
	min=1000000000
	for i in range(len(lines)):#find start point of each exploded lines
		line=lines[i]
		p=line.StartPoint
		dist=geo.DistanceTo(p)
		if dist<min:
			ind=i
			min=dist
	if ind!=0:
		lines=rotate(lines,ind)#change order of lines to make the nearest one to the first
		pcv=PolyCurve.ByJoinedCurves(lines)#regenerate PolyCurve
	
	new.append(pcv)
# Assign your output to the OUT variable.
OUT = new
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