divide curve does not work precisely

How can I draw a polyline with segments of the exact same lenght and with points in an input curve?
I've already tried with curve division and Evaluate length, but it didn't work, because the lenght that grasshopper evaluates is the distance of the points passing throught the curve, not in a linear direction.

I had this idea but I can't realize it without a C# node:

I need to draw a circle with fixed Radius on each vertex of the polyline (that rapresent the lenght of segments of the final polyline), than I need to slide the circle 2 along the curve until I obtain a single intersection point between circle 1 and circle 2, than I need to repeat this operation for all points I need.

this way I could obtain a single equal segments polyline with lenght of segments and number of segments as input. Anyone has an idea?

The linked file is the one I have tried to make without succes