diff --git a/Old_Packages/Cartesian_basic/include/CGAL/Cartesian.h b/Old_Packages/Cartesian_basic/include/CGAL/Cartesian.h
index dad5745a683..7ad8b3a2c73 100644
--- a/Old_Packages/Cartesian_basic/include/CGAL/Cartesian.h
+++ b/Old_Packages/Cartesian_basic/include/CGAL/Cartesian.h
@@ -748,7 +748,7 @@ compare_z_3_object() const
 typedef CGALi::Compare_xy                              Compare_xy_3;
 Compare_xy_3
 compare_xy_3_object() const 
-{ return Compare_xyz_3(); }
+{ return Compare_xy_3(); }
 
 typedef CGALi::Compare_xyz                             Compare_xyz_3;
 Compare_xyz_3
@@ -757,8 +757,8 @@ compare_xyz_3_object() const
 
 typedef CGAL ::p_Less_dist_to_point<Point_3>           Less_distance_to_point_3;
 Less_distance_to_point_3
-less_distance_to_point_3_object() const 
-{ return Less_distance_to_point_3(); }
+less_distance_to_point_3_object(const Point_3& p) const 
+{ return Less_distance_to_point_3(p); }
 
 typedef CGALi::Collinear                               Collinear_3;
 Collinear_3
diff --git a/Old_Packages/Cartesian_basic/include/CGAL/Cartesian_3.h b/Old_Packages/Cartesian_basic/include/CGAL/Cartesian_3.h
index d4de5ac6940..29f1ffb860d 100644
--- a/Old_Packages/Cartesian_basic/include/CGAL/Cartesian_3.h
+++ b/Old_Packages/Cartesian_basic/include/CGAL/Cartesian_3.h
@@ -445,8 +445,8 @@ compare_xyz_3_object() const
 
 typedef CGAL ::p_Less_dist_to_point<Point_3>       Less_distance_to_point_3;
 Less_distance_to_point_3
-less_distance_to_point_3_object() const 
-{ return Less_distance_to_point_3(); }
+less_distance_to_point_3_object(const Point_3& p) const 
+{ return Less_distance_to_point_3(p); }
 
 typedef CGALi::Collinear                           Collinear_3;
 Collinear_3