diff --git a/Packages/Nef_3/include/CGAL/Nef_3/SNC_ray_shooter.h b/Packages/Nef_3/include/CGAL/Nef_3/SNC_ray_shooter.h
index 57b336a8a29..0731668d7a8 100644
--- a/Packages/Nef_3/include/CGAL/Nef_3/SNC_ray_shooter.h
+++ b/Packages/Nef_3/include/CGAL/Nef_3/SNC_ray_shooter.h
@@ -122,7 +122,6 @@ public:
 
   USING(Point_3);
   USING(Vector_3);
-  USING(Direction_3);
   USING(Segment_3);
   USING(Ray_3);
   USING(Line_3);
@@ -268,7 +267,7 @@ public:
       }
     }
 
-    Ray_3 r( p, Direction_3( -1, 0, 0));
+    Ray_3 r( p, Vector_3( -1, 0, 0));
     return Object_handle(determine_volume(r));
   }   
 
diff --git a/Packages/Nef_3/include/CGAL/Nef_3/bounded_side_3.h b/Packages/Nef_3/include/CGAL/Nef_3/bounded_side_3.h
index 743bd743f39..7ba8430577b 100644
--- a/Packages/Nef_3/include/CGAL/Nef_3/bounded_side_3.h
+++ b/Packages/Nef_3/include/CGAL/Nef_3/bounded_side_3.h
@@ -56,7 +56,6 @@ Bounded_side bounded_side_3(IteratorForward first,
   typedef typename R::Point_2 Point_2;
   typedef typename R::Point_3 Point_3;
   typedef typename R::Vector_3 Vector_3;
-  typedef typename R::Direction_3 Direction_3;
   typedef typename R::Plane_3 Plane_3;
   
   if(plane == Plane_3(0,0,0,0)) {
@@ -154,7 +153,6 @@ Bounded_side bounded_side_3(IC first,
   typedef typename R::Point_2 Point_2;
   typedef typename R::Point_3 Point_3;
   typedef typename R::Vector_3 Vector_3;
-  typedef typename R::Direction_3 Direction_3;
   typedef typename R::Plane_3 Plane_3;
 
   CGAL_assertion( !CGAL::is_empty_range( first, last));
@@ -162,10 +160,10 @@ Bounded_side bounded_side_3(IC first,
   if(plane == Plane_3(0,0,0,0)) {
     Vector_3 hv;
     normal_vector_newell_3( first, last, hv);
-    plane = Plane_3( *first, Direction_3(hv));
+    plane = Plane_3( *first, Vector_3(hv));
   }
   CGAL_assertion(!plane.is_degenerate());
-  Direction_3 pd(plane.orthogonal_vector()), pyz(1,0,0), pxz(0,1,0);
+  Vector_3 pd(plane.orthogonal_vector()), pyz(1,0,0), pxz(0,1,0);
   if(pd == pyz || pd == -pyz) {
     /* the plane is parallel to the YZ plane */
     typedef Project_YZ< Point_2, Point_3>                  Project_YZ;