diff --git a/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH2.h b/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH2.h
index d4774aac957..4d7ba3d3df7 100644
--- a/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH2.h
+++ b/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH2.h
@@ -503,8 +503,8 @@ class Aff_transformationH2
   typedef typename R_::Direction_2  Direction_2;
   typedef typename R_::Line_2       Line_2;
 
-  typedef Handle_for_virtual< Aff_transformation_rep_baseH2<R_> > Aff_t_base;
-  using Handle_for_virtual<Aff_t_base>::initialize_with;
+  typedef Handle_for_virtual< Aff_transformation_rep_baseH2<R_> > Base;
+  using Base::initialize_with;
 
 public:
   typedef R_                                    R;
diff --git a/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH3.h b/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH3.h
index af33bdb24cd..1109e488e15 100644
--- a/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH3.h
+++ b/Homogeneous_kernel/include/CGAL/Homogeneous/Aff_transformationH3.h
@@ -293,8 +293,8 @@ class Aff_transformationH3
   typedef typename R_::Plane_3              Plane_3;
   typedef typename R_::Aff_transformation_3 Aff_transformation_3;
 
-  typedef  Handle_for_virtual< Aff_transformation_rep_baseH3<R_> > Aff_t_base;
-  using Handle_for_virtual<Aff_t_base>::initialize_with;
+  typedef  Handle_for_virtual< Aff_transformation_rep_baseH3<R_> > Base;
+  using Base::initialize_with;
 public:
   typedef R_                R;