diff --git a/Triangulation_2/doc/Triangulation_2/Concepts/RegularTriangulationTraits_2.h b/Triangulation_2/doc/Triangulation_2/Concepts/RegularTriangulationTraits_2.h
index ca7d38a680c..861c4d2c822 100644
--- a/Triangulation_2/doc/Triangulation_2/Concepts/RegularTriangulationTraits_2.h
+++ b/Triangulation_2/doc/Triangulation_2/Concepts/RegularTriangulationTraits_2.h
@@ -18,13 +18,11 @@ of Delaunay triangulations.
 
 \cgalRefines `TriangulationTraits_2` 
 
-\cgalHasModel All CGAL Kernels
-\cgalHasModel `CGAL::Regular_triangulation_euclidean_traits_2`
+\cgalHasModel All models of `Kernel`.
 
-\sa `TriangulationTraits_2`
+\sa `CGAL::Regular_triangulation_2`
 
 */
-
 class RegularTriangulationTraits_2 {
 public:
 
@@ -93,6 +91,12 @@ power distance between `p` and `r`.
 */ 
 typedef unspecified_type Compare_power_distance_2; 
 
+/// @}
+
+/// \name
+/// The following types/predicates are required to compute duals:
+/// @{
+
 /*!
 A function object,
 model of `Kernel::ConstructWeightedCircumcenter_2`,
@@ -117,7 +121,7 @@ Must provide the operator:
 */ 
 typedef unspecified_type Construct_radical_axis_2; 
 
-/// @} 
+/// @}
 
 /// \name Creation 
 /// @{
diff --git a/Triangulation_2/doc/Triangulation_2/Concepts/TriangulationTraits_2.h b/Triangulation_2/doc/Triangulation_2/Concepts/TriangulationTraits_2.h
index c4d1957affa..086f5d7f189 100644
--- a/Triangulation_2/doc/Triangulation_2/Concepts/TriangulationTraits_2.h
+++ b/Triangulation_2/doc/Triangulation_2/Concepts/TriangulationTraits_2.h
@@ -10,12 +10,12 @@ provides the types of the geometric primitives used in the
 triangulation and some function object types for the required
 predicates on those primitives.
 
-\cgalHasModel All the \cgal Kernels 
+\cgalHasModel All models of `Kernel`.
 \cgalHasModel `CGAL::Projection_traits_xy_3<K>`
 \cgalHasModel `CGAL::Projection_traits_yz_3<K>`
 \cgalHasModel `CGAL::Projection_traits_xz_3<K>`
 
-\sa `CGAL::Triangulation_2<Traits,Tds>` 
+\sa `CGAL::Triangulation_2`
 
 */
 
diff --git a/Triangulation_3/doc/Triangulation_3/Concepts/RegularTriangulationTraits_3.h b/Triangulation_3/doc/Triangulation_3/Concepts/RegularTriangulationTraits_3.h
index e61b62c8375..7e24e51bf85 100644
--- a/Triangulation_3/doc/Triangulation_3/Concepts/RegularTriangulationTraits_3.h
+++ b/Triangulation_3/doc/Triangulation_3/Concepts/RegularTriangulationTraits_3.h
@@ -15,14 +15,15 @@ or the weighted point \f$ {p}^{(w)}=(p,w_p)\f$.
 
 \cgalRefines `TriangulationTraits_3`
 
+\cgalHasModel All models of `Kernel`.
+
+\sa `CGAL::Regular_triangulation_3`
+
 In addition to the requirements described for the traits class of
   `CGAL::Triangulation_3`, the geometric traits class of
   `CGAL::Regular_triangulation_3` must fulfill the following requirements.
 
-  \cgalHasModel All CGAL Kernels
-
 */
-
 class RegularTriangulationTraits_3 {
 public:
 
@@ -124,7 +125,7 @@ typedef unspecified_type Power_side_of_oriented_power_sphere_3;
 
 /*!
 A predicate object,
-model of `ComparePowerDistance_3`,
+model of `Kernel::ComparePowerDistance_3`,
 that must provide the function operator 
 
 `Comparison_result operator()(Point_3 p, Weighted_point_3 q, Weighted_point_3 r)`, 
diff --git a/Triangulation_3/doc/Triangulation_3/Concepts/TriangulationTraits_3.h b/Triangulation_3/doc/Triangulation_3/Concepts/TriangulationTraits_3.h
index 7765534c4fb..f7dbb8d9b4f 100644
--- a/Triangulation_3/doc/Triangulation_3/Concepts/TriangulationTraits_3.h
+++ b/Triangulation_3/doc/Triangulation_3/Concepts/TriangulationTraits_3.h
@@ -9,14 +9,9 @@ triangles and tetrahedra) forming the triangulation together with a few
 geometric predicates and constructions on these objects : lexicographical 
 comparison, orientation in case of coplanar points and orientation in space. 
 
-\cgalHasModel CGAL::Exact_predicates_inexact_constructions_kernel (recommended) 
-\cgalHasModel CGAL::Exact_predicates_exact_constructions_kernel
-\cgalHasModel CGAL::Filtered_kernel 
-\cgalHasModel CGAL::Cartesian 
-\cgalHasModel CGAL::Simple_cartesian 
-\cgalHasModel CGAL::Homogeneous 
-\cgalHasModel CGAL::Simple_homogeneous 
+\cgalHasModel All models of `Kernel`.
 
+\sa `CGAL::Triangulation_3`
 */
 
 class TriangulationTraits_3 {