diff --git a/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h b/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h
index b4b25374374..e0cde511f78 100644
--- a/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h
+++ b/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h
@@ -1762,10 +1762,10 @@ namespace CartesianKernelFunctors {
         // to avoid badly defined vectors with coordinates all close
         // to 0 when the plane is almost horizontal, we ignore the
         // smallest coordinate instead of always ignoring Z
-        if (CGAL::possibly(a <= b && a <= c))
+        if (CGAL::possibly(CGAL_AND (a <= b, a <= c)))
           return Vector_3(FT(0), -h.c(), h.b());
 
-        if (CGAL::possibly(b <= a && b <= c))
+        if (CGAL::possibly(CGAL_AND (b <= a, b <= c)))
           return Vector_3(-h.c(), FT(0), h.a());
 
         return Vector_3(-h.b(), h.a(), FT(0));
diff --git a/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h b/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h
index 6985c929d16..22cd48f3af0 100644
--- a/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h
+++ b/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h
@@ -272,9 +272,9 @@ point_on_planeC3(const FT &pa, const FT &pb, const FT &pc, const FT &pd,
   // to avoid badly defined point with an overly large coordinate when
   //  the plane is almost orthogonal to one axis, we use the largest
   //  scalar coordinate instead of always using the first non-null
-  if (CGAL::possibly(abs_pa >= abs_pb && abs_pa >= abs_pc))
+  if (CGAL::possibly(CGAL_AND (abs_pa >= abs_pb, abs_pa >= abs_pc)))
     x = -pd/pa;
-  else if (CGAL::possibly(abs_pb >= abs_pa && abs_pb >= abs_pc))
+  else if (CGAL::possibly(CGAL_AND (abs_pb >= abs_pa, abs_pb >= abs_pc)))
     y = -pd/pb;
   else
     z = -pd/pc;