diff --git a/Convex_hull_3/include/CGAL/convex_hull_3.h b/Convex_hull_3/include/CGAL/convex_hull_3.h
index b2089fdc53c..239d83f9134 100644
--- a/Convex_hull_3/include/CGAL/convex_hull_3.h
+++ b/Convex_hull_3/include/CGAL/convex_hull_3.h
@@ -45,6 +45,7 @@
 
 #include <boost/mpl/has_xxx.hpp>
 #include <boost/graph/graph_traits.hpp>
+#include <boost/range/has_range_iterator.hpp>
 
 #include <type_traits>
 
@@ -69,6 +70,8 @@ template<class VertexPointMap,class Base_traits> class Extreme_points_traits_ada
 namespace Convex_hull_3 {
 namespace internal {
 
+BOOST_MPL_HAS_XXX_TRAIT_NAMED_DEF(Has_nested_type_Collinear_3, Collinear_3, false)
+
 // wrapper used as a MutableFaceGraph to extract extreme points
 template <class OutputIterator>
 struct Output_iterator_wrapper
@@ -993,7 +996,8 @@ void convex_hull_3(InputIterator first, InputIterator beyond,
 template <class InputIterator, class PolygonMesh, class Traits>
 void convex_hull_3(InputIterator first, InputIterator beyond,
                    PolygonMesh& polyhedron,
-                   const Traits& traits)
+                   const Traits& traits,
+                   std::enable_if_t<Convex_hull_3::internal::Has_nested_type_Collinear_3<Traits>::value>* = 0)
 {
   typedef typename Traits::Point_3                Point_3;
   typedef std::list<Point_3>                      Point_3_list;
diff --git a/Kernel_23/include/CGAL/Kernel_23/internal/Projection_traits_base_3.h b/Kernel_23/include/CGAL/Kernel_23/internal/Projection_traits_base_3.h
index e179fecc677..24ba8b3637c 100644
--- a/Kernel_23/include/CGAL/Kernel_23/internal/Projection_traits_base_3.h
+++ b/Kernel_23/include/CGAL/Kernel_23/internal/Projection_traits_base_3.h
@@ -372,6 +372,35 @@ public:
   }
 }; // end class Less_xy_along_axis
 
+template <class Traits>
+class Compare_xy_along_axis
+{
+  // private members
+  typedef typename Traits::Vector_3 Vector_3;
+  typedef typename Traits::Point_2 Point;
+  Vector_3 base1, base2;
+
+public:
+  Compare_xy_along_axis(const Vector_3& base1, const Vector_3& base2) : base1(base1), base2(base2)
+  {
+    CGAL_PROFILER("Construct Compare_xy_along_axis")
+    CGAL_TIME_PROFILER("Construct Compare_xy_along_axis")
+  }
+
+  typedef Comparison_result result_type;
+
+  Comparison_result operator()(const Point& p, const Point& q) const
+  {
+    Compare_along_axis<Traits> cx(base1);
+    Comparison_result crx = cx(p, q);
+    if (crx != EQUAL) {
+      return crx;
+    }
+    Compare_along_axis<Traits> cy(base2);
+    return cy(p, q);
+  }
+}; // end class Compare_xy_along_axis
+
 } // end namespace TriangulationProjectionTraitsCartesianFunctors
 
 
@@ -426,12 +455,13 @@ public:
   typedef typename K::Line_3      Line_2;
 
   typedef typename K::Angle_3                                Angle_2;
-  typedef typename K::Compare_xyz_3                          Compare_xy_2;
 
   typedef TriangulationProjectionTraitsCartesianFunctors::
     Compare_along_axis<Self>                                 Compare_x_2;
   typedef TriangulationProjectionTraitsCartesianFunctors::
     Compare_along_axis<Self>                                 Compare_y_2;
+  typedef TriangulationProjectionTraitsCartesianFunctors::
+    Compare_xy_along_axis<Self>                              Compare_xy_2;
 
   typedef TriangulationProjectionTraitsCartesianFunctors::
     Less_along_axis<Self>                                    Less_x_2;
@@ -498,6 +528,12 @@ public:
     return Compare_y_2(this->base2());
   }
 
+  Compare_xy_2
+  compare_xy_2_object() const
+  {
+    return Compare_xy_2(this->base1(), this->base2());
+  }
+
   Orientation_2
   orientation_2_object() const
   {
@@ -525,9 +561,6 @@ public:
   Angle_2  angle_2_object() const
     {return Angle_2();}
 
-  Compare_xy_2  compare_xy_2_object() const
-    {return Compare_xy_2();}
-
   Construct_point_2  construct_point_2_object() const
     {return Construct_point_2();}
 
diff --git a/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h b/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h
index c867c190814..b10853d5c8e 100644
--- a/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h
+++ b/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h
@@ -36,6 +36,7 @@
 #include <CGAL/Real_timer.h>
 #endif
 
+#include <boost/range/has_range_iterator.hpp>
 #include <boost/iterator/transform_iterator.hpp>
 #include <boost/range/value_type.hpp>
 
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h
index c047eeb407e..e0ab99d02bb 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h
@@ -28,6 +28,7 @@
 #include <CGAL/Polygon_mesh_processing/connected_components.h>
 #include <CGAL/Side_of_triangle_mesh.h>
 
+#include <boost/range/has_range_iterator.hpp>
 #include <boost/iterator/function_output_iterator.hpp>
 
 #include <exception>