diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_x_monotone_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_x_monotone_2.h
index ae06841ffea..ded1a7cf313 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_x_monotone_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_x_monotone_2.h
@@ -959,11 +959,12 @@ _Bezier_x_monotone_2<RatKer, AlgKer, NtTrt, BndTrt>::point_position
 
 
   if ( p.is_rational() ){
-    const Rational& px = ((Rat_point_2) p).x();
+    const Rational px = ((Rat_point_2) p).x();
 
     Integer denom_px=nt_traits.denominator(px);
     Integer numer_px=nt_traits.numerator(px);
-    Polynomial poly_px = CGAL::sign(numer_px) == ZERO ? Polynomial() : nt_traits.construct_polynomial(&numer_px,0);
+    Integer poly_px_scale = numer_px * _curve.x_norm();
+    Polynomial poly_px = CGAL::sign(numer_px) == ZERO ? Polynomial() : nt_traits.construct_polynomial(&poly_px_scale,0);
     Polynomial poly_x = nt_traits.scale(_curve.x_polynomial(),denom_px) - poly_px;
 
     std::vector <Algebraic> roots;