diff --git a/Arrangement_on_surface_2/include/CGAL/Arrangement_2.h b/Arrangement_on_surface_2/include/CGAL/Arrangement_2.h
index 86d7732fb4c..3f63af0d5f2 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arrangement_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arrangement_2.h
@@ -243,218 +243,6 @@ public:
     return (Face_const_handle (p_oc->face()));
   }
 
-  /*!
-   * Get the bottom left vertex (const version).
-   */
-  Vertex_const_handle bottom_left_fictitious_vertex() const
-  {
-    return bottom_left_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-  /*!
-   * Get the top left vertex (const version).
-   */
-  Vertex_const_handle top_left_fictitious_vertex() const
-  {
-    return top_left_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-  /*!
-   * Get the bottom right vertex (const version).
-   */
-  Vertex_const_handle bottom_right_fictitious_vertex() const
-  {
-    return bottom_right_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-  /*!
-   * Get the top right vertex (const version).
-   */
-  Vertex_const_handle top_right_fictitious_vertex() const
-  {
-    return top_right_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-  /*!
-   * Get the bottom left vertex (non-const version).
-   */
-  Vertex_handle bottom_left_fictitious_vertex() 
-  {
-    return bottom_left_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-  /*!
-   * Get the top left vertex (non-const version).
-   */
-  Vertex_handle top_left_fictitious_vertex() 
-  {
-    return top_left_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-  /*!
-   * Get the bottom right vertex (non-const version).
-   */
-  Vertex_handle bottom_right_fictitious_vertex() 
-  {
-    return bottom_right_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-  /*!
-   * Get the top right vertex (non-const version).
-   */
-  Vertex_handle top_right_fictitious_vertex() 
-  {
-    return top_right_fictitious_vertex_impl
-      (typename Geometry_traits_2::Has_boundary_category());
-  }
-
-/* unbounded case */
-
-  /*!
-   * Get the bottom left vertex (const version).
-   */
-  Vertex_const_handle bottom_left_fictitious_vertex_impl(Tag_true) const
-  {
-    return (_const_handle_for(this->topology_traits()->bottom_left_vertex()));
-  }
-
-  /*!
-   * Get the top left vertex (const version).
-   */
-  Vertex_const_handle top_left_fictitious_vertex_impl(Tag_true) const
-  {
-    return (_const_handle_for(this->topology_traits()->top_left_vertex()));
-  }
-
-  /*!
-   * Get the bottom right vertex (const version).
-   */
-  Vertex_const_handle bottom_right_fictitious_vertex_impl(Tag_true) const
-  {
-    return (_const_handle_for(this->topology_traits()->bottom_right_vertex()));
-  }
-
-  /*!
-   * Get the top right vertex (const version).
-   */
-  Vertex_const_handle top_right_fictitious_vertex_impl(Tag_true) const
-  {
-    return (_const_handle_for(this->topology_traits()->top_right_vertex()));
-  }
-
-  /*!
-   * Get the bottom left vertex (non-const version).
-   */
-  Vertex_handle bottom_left_fictitious_vertex_impl(Tag_true) 
-  {
-    return (_handle_for(this->topology_traits()->bottom_left_vertex()));
-  }
-
-  /*!
-   * Get the top left vertex (non-const version).
-   */
-  Vertex_handle top_left_fictitious_vertex_impl(Tag_true) 
-  {
-    return (_handle_for(this->topology_traits()->top_left_vertex()));
-  }
-
-  /*!
-   * Get the bottom right vertex (non-const version).
-   */
-  Vertex_handle bottom_right_fictitious_vertex_impl(Tag_true) 
-  {
-    return (_handle_for(this->topology_traits()->bottom_right_vertex()));
-  }
-
-  /*!
-   * Get the top right vertex (non-const version).
-   */
-  Vertex_handle top_right_fictitious_vertex_impl(Tag_true) 
-  {
-    return (_handle_for(this->topology_traits()->top_right_vertex()));
-  }
-
-/* bounded case, currently unsupported */
-
-  /*!
-   * Get the bottom left vertex (const version).
-   */
-  Vertex_const_handle bottom_left_fictitious_vertex_impl(Tag_false) const
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
-  /*!
-   * Get the top left vertex (const version).
-   */
-  Vertex_const_handle top_left_fictitious_vertex_impl(Tag_false) const
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
-  /*!
-   * Get the bottom right vertex (const version).
-   */
-  Vertex_const_handle bottom_right_fictitious_vertex_impl(Tag_false) const
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
-  /*!
-   * Get the top right vertex (const version).
-   */
-  Vertex_const_handle top_right_fictitious_vertex_impl(Tag_false) const
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
-  /*!
-   * Get the bottom left vertex (non-const version).
-   */
-  Vertex_handle bottom_left_fictitious_vertex_impl(Tag_false) 
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
-  /*!
-   * Get the top left vertex (non-const version).
-   */
-  Vertex_handle top_left_fictitious_vertex_impl(Tag_false) 
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
-  /*!
-   * Get the bottom right vertex (non-const version).
-   */
-  Vertex_handle bottom_right_fictitious_vertex_impl(Tag_false) 
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
-  /*!
-   * Get the top right vertex (non-const version).
-   */
-  Vertex_handle top_right_fictitious_vertex_impl(Tag_false) 
-  {
-    CGAL_assertion(false);
-    return NULL;
-  }
-
   //@}
 
 protected: