Split surface on line

[Philippe Hurbain]

I would turn the green line into a surface and use Isecalc to get all the intersecting vertices, as edge lines, in one go.

Yes, tha's a good method too, but...

Much faster than selecting two edgelines, to get one vertex, and then selecting another set of edgelines to get a second vertex, and so on...

...you can select all concerned lines (with a marquee) in one operation and get all vertices at once when pressing intersection icon!