The intersection of a polygon and a polyline can be either a polyline (esriGeometry1Dimension) or a multipoint (esriGeometry0Dimension). depending on which one you pass in as the parameter. In uvg's case, I think should be multipoint. Can you provide the code and data so we can see why the output are the end points of the polyline?
When you call the Intersect method, you must specify the type of intersection you want it to return. The intersection of a polygon and a polyline will usually be a polyline so you should be passing in esriGeometry1Dimension as the 2nd parameter to the Intersect method.
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