diff --git a/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h b/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h
index 90c19e381ba..e4add1cd5ef 100644
--- a/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h
+++ b/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h
@@ -615,13 +615,18 @@ public:
     return construct_point(pp.first, pp.second);
   }
 
+  Periodic_point_3 construct_periodic_point(const Point_3& p,
+                                            const bool had_to_use_exact) const
+  {
+    // The function is a different file to be able to be used where there is
+    // no triangulation (namely, the domains of Periodic_3_mesh_3).
+    return ::CGAL::P3T3::internal::construct_periodic_point(p, had_to_use_exact, geom_traits());
+  }
+
   Periodic_point_3 construct_periodic_point(const Point_3& p) const
   {
     bool useless = false;
-
-    // The function is a different file to be able to be used where there is
-    // no triangulation (namely, the domains of Periodic_3_mesh_3).
-    return ::CGAL::P3T3::internal::construct_periodic_point(p, useless, geom_traits());
+    return construct_periodic_point(p, useless);
   }
 
   // ---------------------------------------------------------------------------