Finding points on the curves

Hi, how can I find the points on these curves as shown on the attached image? (74.7 KB)
Building.3dm (979.0 KB)

Anyone can help me with this issue?

For some sort of what you are after, playing around with mesh has a lot of potential…
You’ll need Weaverbird and Starling plugins… (76.8 KB)

Thank you for your help Kim. I downloaded Weaverbird and Starling plugins but I don’t know how to use it as I only been using Rhino and Grasshopper for two months. I somehow achieved similar result by adding few components on your grasshopper file, but i am not in total control of it. I would be grateful if someone can help me with my file, my intention is to create lines as shown on image, many thanks! (66.3 KB)
Building.3dm (979.0 KB)