diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_point_location/Trapezoidal_decomposition_2_impl.h b/Arrangement_on_surface_2/include/CGAL/Arr_point_location/Trapezoidal_decomposition_2_impl.h
index 878c65c4a5b..b25b7d7fd01 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_point_location/Trapezoidal_decomposition_2_impl.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_point_location/Trapezoidal_decomposition_2_impl.h
@@ -1540,9 +1540,7 @@ bool Trapezoidal_decomposition_2<Td_traits>
   typename Arrangement_on_surface_2::Halfedge_around_vertex_const_circulator first, second;
   first = second = v->incident_halfedges();
   ++second;
-  if (he->source() == v)
-    he = he->twin();
-  CGAL_assertion(he == first);
+
   if (second == first) //if he is the only halfedge around v -> return true
     return true;
   return false;