diff --git a/Circular_kernel_2/include/CGAL/global_functions_on_circular_arcs_2.h b/Circular_kernel_2/include/CGAL/global_functions_on_circular_arcs_2.h
index d5f9fd99dfd..f834be23c70 100644
--- a/Circular_kernel_2/include/CGAL/global_functions_on_circular_arcs_2.h
+++ b/Circular_kernel_2/include/CGAL/global_functions_on_circular_arcs_2.h
@@ -149,6 +149,13 @@ make_x_monotone(const Circular_arc_2<CK> &A, OutputIterator it)
   return CK().make_x_monotone_2_object()(A, it);
 }
 
+template < class CK, class OutputIterator >
+OutputIterator
+make_xy_monotone(const Circular_arc_2<CK> &A, OutputIterator it)
+{
+  return CK().make_xy_monotone_2_object()(A, it);
+}
+
 CGAL_END_NAMESPACE
 
 #endif // CGAL_CIRCULAR_KERNEL_GLOBAL_FUNCTIONS_ON_CIRCULAR_ARCS_2_H
diff --git a/Circular_kernel_2/include/CGAL/global_functions_on_line_arcs_2.h b/Circular_kernel_2/include/CGAL/global_functions_on_line_arcs_2.h
index b6d8279d7a7..bcc801bf975 100644
--- a/Circular_kernel_2/include/CGAL/global_functions_on_line_arcs_2.h
+++ b/Circular_kernel_2/include/CGAL/global_functions_on_line_arcs_2.h
@@ -103,6 +103,13 @@ make_x_monotone(const Line_arc_2<CK> &A, OutputIterator it)
   return CK().make_x_monotone_2_object()(A, it);
 }
 
+template < class CK, class OutputIterator >
+OutputIterator
+make_xy_monotone(const Line_arc_2<CK> &A, OutputIterator it)
+{
+  return CK().make_xy_monotone_2_object()(A, it);
+}
+
 CGAL_END_NAMESPACE
 
 #endif // CGAL_CIRCULAR_KERNEL_GLOBAL_FUNCTIONS_ON_LINE_ARCS_2_H