Here’s a minimal example:
210310_CurveCurveIntersection_00.gh (3.2 KB)
Note that there are many other properties you can extract in the IntersectionEvent class, other than just PointA that I’m grabbing here.
Update: Looking at your original post, you’re probably looking for this method though:
210310_CurveCurveRegionBoolean_00.gh (2.7 KB)
Or better yet, the Curve.CreateBooleanRegions class, which is new in Rhino 7.