Grasshopper

algorithmic modeling for Rhino

Hi everyone, i'm relative new to gh, so i hope this is not a stupid question, Anyway:

I have a series of curves and and a series of lines which are connected to the curves.

I need to extract the curves that have the start/end points in common with the straight lines (black circled) 

How can i do?

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Hi, i developed the solution in the image below, but it works only for certain points, not for all. 

I don't understand why, someone can help?

i have attached the geometry and gh files.

Attachments:

How about this way?

Attachments:

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