Grasshopper

algorithmic modeling for Rhino

I have horizontal curves intersecting vertical curves. I want to break up the horizontal curves into straight line segments with endpoints at the horizontal/vertical curve intersections.

Does anyone know of a way to do that in Grasshopper? I have attached a sketch showing what I am trying to do. I have been able to find the intersections between the horizontal and vertical curves but not sure how to proceed from there.

Thanks in advance.

-Hani

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Hopefully someone can produce a simpler method, although I cannot see how since the Intersecting of multiple objects with multiple objects creates a lot of different combinations it is necessary to sort the paths out with the Mask component to get the points of intersections represented by numbers in the same paths as the curves they intersect. After the numbers and curves are ready the Shatter component brakes the curve up according the the intersection points.
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