This .NET method wraps the ObjectARX method: 

AcDbGeometryOverrule::intersectWith (AcDbEntity*, AcDbEntity*, AcDb::Intersect, AcGePlane&, AcGePoint3dArray&, Adesk::GsMarker, Adesk::GsMarker).

Public virtual Function IntersectWith(
    entity As Entity, 
    ent As Entity, 
    intType As Autodesk.AutoCAD.DatabaseServices.Intersect, 
    projPlane As Plane, 
    points As Point3dCollection, 
    thisGsMarker As IntPtr, 
    otherGsMarker As IntPtr
) As void

public virtual void IntersectWith(
    Entity entity, 
    Entity ent, 
    Autodesk.AutoCAD.DatabaseServices.Intersect intType, 
    Plane projPlane, 
    Point3dCollection points, 
    IntPtr thisGsMarker, 
    IntPtr otherGsMarker
);