diff --git a/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h b/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h
index f0b5b7fa5ff..759213e2687 100644
--- a/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h
+++ b/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h
@@ -3295,9 +3295,28 @@ namespace CartesianKernelFunctors {
     Point_2
     operator()( const Segment_2& s, const Point_2& p ) const
     {
-      assert(false);
-      return p;
-      // CommonKernelFunctors::Construct_projected_point_3<K>()(s,p,K());
+      const Point_2& a = s.source();
+      const Point_2& b = s.target();
+      typename K::FT dx = b.x() - a.x();
+      typename K::FT dy = b.y() - a.y();
+
+      // Degenerate segment
+      if (dx == 0 && dy == 0)
+        return a;
+
+      typename K::FT px = p.x() - a.x();
+      typename K::FT py = p.y() - a.y();
+
+      typename K::FT proj = (dx * px + dy * py) / (dx * dx + dy * dy);
+
+      if (proj <= 0.0)
+        return a;
+
+      if (proj >= 1.0)
+        return b;
+
+      typename K::Construct_point_2 construct_point_2;
+      return construct_point_2(a.x() + proj * dx, a.y() + proj * dy);
     }
 
     Point_2
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_constructions_2.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_constructions_2.h
index 288d6a55dfd..c4411533b41 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_constructions_2.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_constructions_2.h
@@ -20,7 +20,7 @@
 
 template <class R>
 bool
-_test_fct_constructions_2(const R&)
+_test_fct_constructions_2(const R& r)
 {
   typedef typename R::RT              RT;
   typedef CGAL::Point_2<R>            Point;
@@ -89,6 +89,15 @@ _test_fct_constructions_2(const R&)
 
   assert( CGAL::weighted_circumcenter( wpnw_b, wpse_b, wpsw_b ) == psw);
 
+  Point a(0.0, 1.0);
+  Point b(3.0, 4.0);
+  Segment seg(a, b);
+
+  assert(r.construct_projected_point_2_object()(seg, Point(0, 0)) == a);
+  assert(r.construct_projected_point_2_object()(seg, Point(5.0, 0)) == Point(2.0, 3.0));
+  assert(r.construct_projected_point_2_object()(seg, Point(5.0, 4.0)) == b);
+  assert(r.construct_projected_point_2_object()(seg, Point(2.0, 4.0)) == Point(2.5, 3.5));
+
   return true;
 }