diff --git a/Nef_3/doc/Nef_3/CGAL/Nef_nary_union_3.h b/Nef_3/doc/Nef_3/CGAL/Nef_nary_union_3.h
index 1e271711d07..3919d156f76 100644
--- a/Nef_3/doc/Nef_3/CGAL/Nef_nary_union_3.h
+++ b/Nef_3/doc/Nef_3/CGAL/Nef_nary_union_3.h
@@ -38,7 +38,9 @@ Nef_nary_union_3<NefPolyhedron_3>();
 /// @{
 
 /*!
-returns the union of the polyhedra previously added to the class.
+returns the union of the polyhedra previously added to the class. The
+union does not get removed so that further Nef polyhedra can be added
+later.
 */
 NefPolyhedron_3 get_union() const;
 
diff --git a/Nef_3/include/CGAL/Nef_nary_intersection_3.h b/Nef_3/include/CGAL/Nef_nary_intersection_3.h
index 5178705dc2f..212aeeaa990 100644
--- a/Nef_3/include/CGAL/Nef_nary_intersection_3.h
+++ b/Nef_3/include/CGAL/Nef_nary_intersection_3.h
@@ -56,7 +56,7 @@ class Nef_nary_intersection_3 {
       return empty;
     while(queue.size() > 1)
       intersect();
-    inserted = 0;
+    inserted = 1;
     return queue.front();
   }
 };
diff --git a/Nef_3/include/CGAL/Nef_nary_union_3.h b/Nef_3/include/CGAL/Nef_nary_union_3.h
index c8663bb911b..8b138bac28d 100644
--- a/Nef_3/include/CGAL/Nef_nary_union_3.h
+++ b/Nef_3/include/CGAL/Nef_nary_union_3.h
@@ -56,7 +56,7 @@ class Nef_nary_union_3 {
       return empty;
     while(queue.size() > 1)
       unite();
-    inserted = 0;
+    inserted = 1;
     return queue.front();
   }
 };