diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h
index 9b2ff958e8d..8ac11d3310f 100644
--- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h
+++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h
@@ -1681,6 +1681,8 @@ inline bool
 do_intersect(const Plane_3<R> &plane1, const Plane_3<R> &plane2,
              const Plane_3<R> &plane3, const R& r)
 {
+  typedef typename R::RT RT;
+
   if(! is_zero(determinant(plane1.a(), plane1.b(), plane1.c(),
                            plane2.a(), plane2.b(), plane2.c(),
                            plane3.a(), plane3.b(), plane3.c()))){
@@ -1703,9 +1705,9 @@ do_intersect(const Plane_3<R> &plane1, const Plane_3<R> &plane2,
     if(b23 && ((plane2 == plane3)||(plane2 == plane3.opposite()  ))) return true;
   }
 
-  int rd = rank_34(plane1.a(), plane1.b(), plane1.c(), plane1.d(),
-                   plane2.a(), plane2.b(), plane2.c(), plane2.d(),
-                   plane3.a(), plane3.b(), plane3.c(), plane3.d());
+  int rd = rank_34<RT>(plane1.a(), plane1.b(), plane1.c(), plane1.d(),
+                       plane2.a(), plane2.b(), plane2.c(), plane2.d(),
+                       plane3.a(), plane3.b(), plane3.c(), plane3.d());
 
   return rd == 2;
 }
diff --git a/Kernel_23/include/CGAL/rank.h b/Kernel_23/include/CGAL/rank.h
index 58c2c5ac09a..2951e92c562 100644
--- a/Kernel_23/include/CGAL/rank.h
+++ b/Kernel_23/include/CGAL/rank.h
@@ -50,21 +50,21 @@ int rank_32(const RT& a0, const RT& b0,
     {
       if (a2==0)
       {
-        return rank_31(b0,b1,b2);
+        return rank_31<RT>(b0,b1,b2);
       }
       else
       {
-        return 1 + rank_21(b0, b1);
+        return 1 + rank_21<RT>(b0, b1);
       }
     }
     else
     {
-      return 1 + rank_21(b0, a1*b2-a2*b1);
+      return 1 + rank_21<RT>(b0, a1*b2-a2*b1);
     }
   }
   else
   {
-    return 1 + rank_21(a0*b1-a1*b0, a0*b2-a2*b0);
+    return 1 + rank_21<RT>(a0*b1-a1*b0, a0*b2-a2*b0);
   }
 }
 
@@ -76,12 +76,12 @@ int rank_22(const RT& a0, const RT& b0,
   {
     if (a1==0)
     {
-      return rank_21(b0,b1);
+      return rank_21<RT>(b0,b1);
     }
     else
-      return 1 + rank_11(b0);
+      return 1 + rank_11<RT>(b0);
   }
-  return 1 + rank_11(a0*b1-a1*b0);
+  return 1 + rank_11<RT>(a0*b1-a1*b0);
 }
 
 template <class RT>
@@ -95,19 +95,19 @@ int rank_33(const RT& a0, const RT& b0, const RT& c0,
     {
       if (a2==0)
       {
-        return rank_32(b0, c0, b1, c1, b2, c2);
+        return rank_32<RT>(b0, c0, b1, c1, b2, c2);
       }
       else
       {
-        return 1 + rank_22(b0, c0, b1, c1);
+        return 1 + rank_22<RT>(b0, c0, b1, c1);
       }
     }
     else
-      return 1 + rank_22(b0, c0, a1*b2-a2*b1, a1*c2-a2*c1);
+      return 1 + rank_22<RT>(b0, c0, a1*b2-a2*b1, a1*c2-a2*c1);
   }
   else
   {
-    return 1 + rank_22(a0*b1-a1*b0, a0*c1-a1*c0, a0*b2-a2*b0, a0*c2-a2*c0);
+    return 1 + rank_22<RT>(a0*b1-a1*b0, a0*c1-a1*c0, a0*b2-a2*b0, a0*c2-a2*c0);
   }
 }
 
@@ -120,14 +120,14 @@ int rank_23(const RT& a0, const RT& b0, const RT& c0,
   {
     if (a1==0)
     {
-      return rank_22(b0, c0, b1, c1);
+      return rank_22<RT>(b0, c0, b1, c1);
     }
     else
-      return 1 + rank_12(b0,c0);
+      return 1 + rank_12<RT>(b0,c0);
   }
   else
   {
-    return 1 + rank_12(a0*b1-a1*b0,a0*c1-a1*c0);
+    return 1 + rank_12<RT>(a0*b1-a1*b0,a0*c1-a1*c0);
   }
 }
 
@@ -143,19 +143,19 @@ int rank_34(const RT& a0, const RT& b0, const RT& c0, const RT& d0,
     {
       if (a2==0)
       {
-        return rank_33(b0, c0, d0, b1, c1, d1, b2, c2, d2);
+        return rank_33<RT>(b0, c0, d0, b1, c1, d1, b2, c2, d2);
       }
       else
       {
-        return 1 + rank_23(b0, c0, d0, b1, c1, d1);
+        return 1 + rank_23<RT>(b0, c0, d0, b1, c1, d1);
       }
     }
     else
-      return 1 + rank_23(b0, c0, d0,a1*b2-a2*b1, a1*c2-a2*c1, a1*d2 - a2*d1);
+      return 1 + rank_23<RT>(b0, c0, d0,a1*b2-a2*b1, a1*c2-a2*c1, a1*d2 - a2*d1);
   }
   else
   {
-    return 1 + rank_23(a0*b1-a1*b0, a0*c1-a1*c0, a0*d1-a1*d0, a0*b2-a2*b0, a0*c2-a2*c0, a0*d2-a2*d0);
+    return 1 + rank_23<RT>(a0*b1-a1*b0, a0*c1-a1*c0, a0*d1-a1*d0, a0*b2-a2*b0, a0*c2-a2*c0, a0*d2-a2*d0);
   }
 }