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Here is snippet:

typedef MeteoKernel<double>                     MK;
typedef CGAL::Filtered_kernel_adaptor<MK>       K; 
typedef CGAL::Triangulation_3<K>                Triangulation;

where MeteoKernel is

template < typename K_, typename K_Base >
struct MeteoCartesian_base : public K_Base::template Base<K_>::Type
{
   typedef typename K_Base::template Base<K_>::Type                     OldK;

   typedef K_                                                  Kernel;
   typedef MeteoPoint_3                                          Point_3;
   typedef MeteoConstruct_point_3<Kernel>                Construct_point_3;
   typedef const double*                        Cartesian_const_iterator_3;
   typedef MeteoConstruct_coord_iterator  
Construct_cartesian_const_iterator_3;
   typedef MeteoConstruct_bbox_3<typename OldK::Construct_bbox_3>        
Construct_bbox_3;

   template < typename Kernel3 >
   struct Base 
   { 
      typedef MeteoCartesian_base<Kernel3, K_Base>                      Type; 
   };
};

template < typename FT_ >
struct MeteoKernel
   : public MeteoCartesian_base<MeteoKernel<FT_>, CGAL::Cartesian<FT_> >
{
};

gives:

j:\CGAL\3.3.1\include\CGAL/Kernel/function_objects.h(1662) : error C2248: 
'CGAL::TriangleC3<R_>::Rep' : cannot access private typedef declared in class 
'CGAL::TriangleC3<R_>'
        with
        [
            R_=atmo::MeteoKernel<double>
        ]
        j:\CGAL\3.3.1\include\CGAL/Cartesian/Triangle_3.h(41) : see 
declaration of 'CGAL::TriangleC3<R_>::Rep'
        with
        [
            R_=atmo::MeteoKernel<double>
        ]
        j:\CGAL\3.3.1\include\CGAL/Triangulation_3.h(265) : see reference to 
class template instantiation 
'CGAL::CommonKernelFunctors::Construct_triangle_3<K>' being compiled
        with
        [
            K=atmo::MeteoKernel<double>
        ]
        j:\CGAL\3.3.1\include\CGAL/Triangulation_3.h(264) : while compiling 
class template member function 'CGAL::TriangleC3<R_> 
CGAL::TR3<GT>::construct_triangle(const atmo::MeteoPoint_3 &,const 
atmo::MeteoPoint_3 &,const atmo::MeteoPoint_3 &) const'
        with
        [
            R_=atmo::MeteoKernel<double>,
            GT=atmo::CGlobalWeather::K
        ]
        c:\projects\core\libatmospherecore\CGlobalWeather.h(38) : see 
reference to class template instantiation 'CGAL::TR3<GT>' being compiled
        with
        [
            GT=atmo::CGlobalWeather::K
        ]