diff --git a/Triangulation/doc/Triangulation/CGAL/Regular_triangulation.h b/Triangulation/doc/Triangulation/CGAL/Regular_triangulation.h
index 8e530137e38..ca3c6786319 100644
--- a/Triangulation/doc/Triangulation/CGAL/Regular_triangulation.h
+++ b/Triangulation/doc/Triangulation/CGAL/Regular_triangulation.h
@@ -54,8 +54,8 @@ defaults to `Triangulation_data_structure` whose template parameters are
 instantiated as follows:
 <UL>
 <LI>`RegularTriangulationTraits::Dimension`</LI>
-<LI>`Triangulation_vertex<RegularTriangulationTraits>`</LI>
-<LI>`Triangulation_full_cell<RegularTriangulationTraits>`.</LI>
+<LI>`Triangulation_vertex<CGAL::Regular_triangulation_euclidean_traits<RegularTriangulationTraits> >`</LI>
+<LI>`Triangulation_full_cell<CGAL::Regular_triangulation_euclidean_traits<RegularTriangulationTraits> >`.</LI>
 </UL>
 
 \tparam Regular_triangulation can
diff --git a/Triangulation/include/CGAL/Regular_triangulation.h b/Triangulation/include/CGAL/Regular_triangulation.h
index a1f71d31c01..308671521af 100644
--- a/Triangulation/include/CGAL/Regular_triangulation.h
+++ b/Triangulation/include/CGAL/Regular_triangulation.h
@@ -37,7 +37,7 @@ class Regular_triangulation
     typename Default::Get<
       TDS_, 
       Triangulation_data_structure<
-        typename CGAL::Regular_triangulation_euclidean_traits<Traits_>::Dimension,
+        typename Traits_::Dimension,
         Triangulation_vertex<CGAL::Regular_triangulation_euclidean_traits<Traits_> >,
         Triangulation_full_cell<CGAL::Regular_triangulation_euclidean_traits<Traits_> >
       >