"Ambient" is not spelled "Ambiant" in English...

Cartesian_kernel/include/CGAL/Cartesian/Cartesian_base.h

@@ -102,8 +102,8 @@ struct Cartesian_base
                                                         Angle;
 
     template <typename T>
-    struct Ambiant_dimension {
+    struct Ambient_dimension {
-      typedef typename T::Ambiant_dimension type;
+      typedef typename T::Ambient_dimension type;
     };
 
     template <typename T>

Conic_2/include/CGAL/Conic_2.h

@@ -40,7 +40,7 @@ class Conic_2 : public R_::Kernel_base::Conic_2 {
 
   public:
 
-    typedef Dimension_tag<2>  Ambiant_dimension;
+    typedef Dimension_tag<2>  Ambient_dimension;
     typedef Dimension_tag<1>  Feature_dimension;
 
     // types

Filtered_kernel/include/CGAL/Filtered_kernel.h

@@ -68,8 +68,8 @@ struct Filtered_kernel_base
     };
 
     template < typename T >
-    struct Ambiant_dimension {
+    struct Ambient_dimension {
-        typedef typename T::Ambiant_dimension type; // maybe not the right way...
+        typedef typename T::Ambient_dimension type; // maybe not the right way...
     };
 
     template < typename T >

Filtered_kernel/include/CGAL/Lazy_kernel.h

@@ -60,8 +60,8 @@ public:
   struct Base { typedef Lazy_kernel_generic_base<Exact_kernel, Approximate_kernel, E2A, Kernel2>  Type; };
 
   template < typename T >
-  struct Ambiant_dimension {
+  struct Ambient_dimension {
-    typedef typename T::Ambiant_dimension type;
+    typedef typename T::Ambient_dimension type;
   };
 
   template < typename T >

Homogeneous_kernel/include/CGAL/Homogeneous/Homogeneous_base.h

@@ -109,8 +109,8 @@ struct Homogeneous_base
                                                     Angle;
 
     template <typename T>
-    struct Ambiant_dimension {
+    struct Ambient_dimension {
-      typedef typename T::Ambiant_dimension type;
+      typedef typename T::Ambient_dimension type;
     };
 
     template <typename T>

Kernel_23/doc_tex/Kernel_23_ref/Ambient_dimension.tex

@@ -1,7 +1,7 @@
-\begin{ccRefClass} {Ambiant_dimension<T, K = Kernel_traits<T>::Kernel>}
+\begin{ccRefClass} {Ambient_dimension<T, K = Kernel_traits<T>::Kernel>}
 
 \ccDefinition
-The class \ccRefName\ allows to retrieve the dimension of the ambiant space of
+The class \ccRefName\ allows to retrieve the dimension of the ambient space of
 a type.
 
 \ccInclude{CGAL/Dimension.h}
@@ -16,7 +16,7 @@ It exists only when the dimension is a compile-time constant.}
 
 \ccTypedef{type;}{Either \ccc{Dimension_tag<dim>} if the dimension is a
 compile-time constant of value \ccc{dim}, or \ccc{Dynamic_dimension_tag}
-otherwise.  It is implemented as \ccc{K::Ambiant_dimension<T>::type}. }
+otherwise.  It is implemented as \ccc{K::Ambient_dimension<T>::type}. }
 
 \ccExample
 
@@ -24,7 +24,7 @@ The following retrieves the dimension of a point type.
 
 \begin{cprog}
   typedef K::Point_2 Point;
-  int dimension = Ambiant_dimension<Point, K>::value;
+  int dimension = Ambient_dimension<Point, K>::value;
   assert(dimension == 2);
 \end{cprog} 
 

Kernel_23/doc_tex/Kernel_23_ref/Dimension_tag.tex

@@ -25,7 +25,7 @@ either in 2D or in 3D.
 \end{cprog}
 
 \ccSeeAlso
-\ccRefConceptPage{CGAL::Ambiant_dimension<T, K = Kernel_traits<T>::Kernel>} \\
+\ccRefConceptPage{CGAL::Ambient_dimension<T, K = Kernel_traits<T>::Kernel>} \\
 \ccRefConceptPage{CGAL::Feature_dimension<T, K = Kernel_traits<T>::Kernel>} \\
 \ccRefConceptPage{Dynamic_dimension_tag}
 

Kernel_23/doc_tex/Kernel_23_ref/Dynamic_dimension_tag.tex

@@ -23,7 +23,7 @@ either in 2D or in 3D.
 
 \ccSeeAlso
 \ccRefConceptPage{Dimension_tag} \\
-\ccRefConceptPage{CGAL::Ambiant_dimension<T, K = Kernel_traits<T>::Kernel>} \\
+\ccRefConceptPage{CGAL::Ambient_dimension<T, K = Kernel_traits<T>::Kernel>} \\
 \ccRefConceptPage{CGAL::Feature_dimension<T, K = Kernel_traits<T>::Kernel>}
 
 \end{ccRefClass}

Kernel_23/doc_tex/Kernel_23_ref/Feature_dimension.tex

@@ -30,6 +30,6 @@ The following retrieves the dimension of a point type.
 \ccSeeAlso
 \ccRefConceptPage{Dimension_tag} \\
 \ccRefConceptPage{Dynamic_dimension_tag} \\
-\ccRefConceptPage{CGAL::Ambiant_dimension<T, K = Kernel_traits<T>::Kernel>}
+\ccRefConceptPage{CGAL::Ambient_dimension<T, K = Kernel_traits<T>::Kernel>}
 
 \end{ccRefClass} 

Kernel_23/doc_tex/Kernel_23_ref/main.tex

@@ -467,7 +467,7 @@ in the kernel.
 \section{Dimension handling tools}
 \gdef\ccRefPageBreak{\ccFalse}
 
-\input{Kernel_23_ref/Ambiant_dimension.tex}
+\input{Kernel_23_ref/Ambient_dimension.tex}
 \input{Kernel_23_ref/Feature_dimension.tex}
 \gdef\ccRefPageBreak{\ccTrue}
 \input{Kernel_23_ref/Dimension_tag.tex}

Kernel_23/include/CGAL/Aff_transformation_2.h

@@ -39,7 +39,7 @@ class Aff_transformation_2 : public R_::Kernel_base::Aff_transformation_2
   typedef typename R_::Kernel_base::Aff_transformation_2 RAff_transformation_2;
 public:
 
-  typedef CGAL::Dimension_tag<2>            Ambiant_dimension;
+  typedef CGAL::Dimension_tag<2>            Ambient_dimension;
 
   typedef  R_                               R;
 

Kernel_23/include/CGAL/Aff_transformation_3.h

@@ -35,7 +35,7 @@ class Aff_transformation_3 : public R_::Kernel_base::Aff_transformation_3
   typedef typename R_::Kernel_base::Aff_transformation_3 RAff_transformation_3;
 public:
 
-  typedef CGAL::Dimension_tag<3>    Ambiant_dimension;
+  typedef CGAL::Dimension_tag<3>    Ambient_dimension;
 
   typedef R_                        R;
 

Kernel_23/include/CGAL/Bbox_2.h

@@ -42,7 +42,7 @@ class Bbox_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<2>  Feature_dimension;
 
   typedef Simple_cartesian<double>  R;

Kernel_23/include/CGAL/Bbox_3.h

@@ -39,7 +39,7 @@ class Bbox_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<3>  Feature_dimension;
 
   typedef Simple_cartesian<double>  R;

Kernel_23/include/CGAL/Circle_2.h

@@ -46,7 +46,7 @@ class Circle_2 : public R_::Kernel_base::Circle_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<1>  Feature_dimension;
 
   typedef RCircle_2 Rep;

Kernel_23/include/CGAL/Dimension.h

@@ -50,13 +50,13 @@ namespace CGALi {
 } // namespace CGALi
 
 
-// Ambiant_dimension gives access to the dimension of the ambiant space of an object.
+// Ambient_dimension gives access to the dimension of the ambient space of an object.
 
 template < typename T, typename K = typename Kernel_traits<T>::Kernel >
-struct Ambiant_dimension
+struct Ambient_dimension
-  : public CGALi::Dim_value< typename K::template Ambiant_dimension<T>::type >
+  : public CGALi::Dim_value< typename K::template Ambient_dimension<T>::type >
 {
-  typedef typename K::template Ambiant_dimension<T>::type type;
+  typedef typename K::template Ambient_dimension<T>::type type;
 };
 
 

Kernel_23/include/CGAL/Direction_2.h

@@ -48,7 +48,7 @@ class Direction_2 : public R_::Kernel_base::Direction_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<0>  Feature_dimension;
 
   typedef RDirection_2 Rep;

Kernel_23/include/CGAL/Direction_3.h

@@ -47,7 +47,7 @@ class Direction_3 : public R_::Kernel_base::Direction_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<0>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Direction_3 Rep;

Kernel_23/include/CGAL/Iso_cuboid_3.h

@@ -44,7 +44,7 @@ class Iso_cuboid_3 : public R_::Kernel_base::Iso_cuboid_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<3>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Iso_cuboid_3  Rep;

Kernel_23/include/CGAL/Iso_rectangle_2.h

@@ -45,7 +45,7 @@ class Iso_rectangle_2 : public R_::Kernel_base::Iso_rectangle_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<2>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Iso_rectangle_2  Rep;

Kernel_23/include/CGAL/Line_2.h

@@ -49,7 +49,7 @@ class Line_2 : public R_::Kernel_base::Line_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<1>  Feature_dimension;
 
   typedef RLine_2 Rep;

Kernel_23/include/CGAL/Line_3.h

@@ -49,7 +49,7 @@ class Line_3 : public R_::Kernel_base::Line_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<1>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Line_3   Rep;

Kernel_23/include/CGAL/Plane_3.h

@@ -49,7 +49,7 @@ class Plane_3 : public R_::Kernel_base::Plane_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<2>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Plane_3  Rep;

Kernel_23/include/CGAL/Point_2.h

@@ -48,7 +48,7 @@ class Point_2 : public R_::Kernel_base::Point_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<0>  Feature_dimension;
 
   typedef RPoint_2 Rep;

Kernel_23/include/CGAL/Point_3.h

@@ -48,7 +48,7 @@ class Point_3 : public R_::Kernel_base::Point_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<0>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Point_3  Rep;

Kernel_23/include/CGAL/Ray_2.h

@@ -50,7 +50,7 @@ class Ray_2 : public R_::Kernel_base::Ray_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<1>  Feature_dimension;
 
   typedef RRay_2 Rep;

Kernel_23/include/CGAL/Ray_3.h

@@ -47,7 +47,7 @@ class Ray_3 : public R_::Kernel_base::Ray_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<1>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Ray_3    Rep;

Kernel_23/include/CGAL/Segment_2.h

@@ -49,7 +49,7 @@ class Segment_2 : public R_::Kernel_base::Segment_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<1>  Feature_dimension;
 
   typedef RSegment_2 Rep;

Kernel_23/include/CGAL/Segment_3.h

@@ -48,7 +48,7 @@ class Segment_3 : public R_::Kernel_base::Segment_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<1>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Segment_3  Rep;

Kernel_23/include/CGAL/Sphere_3.h

@@ -45,7 +45,7 @@ class Sphere_3 : public R_::Kernel_base::Sphere_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<2>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Sphere_3  Rep;

Kernel_23/include/CGAL/Tetrahedron_3.h

@@ -43,7 +43,7 @@ class Tetrahedron_3 : public R_::Kernel_base::Tetrahedron_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<3>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Tetrahedron_3  Rep;

Kernel_23/include/CGAL/Triangle_2.h

@@ -44,7 +44,7 @@ class Triangle_2 : public R_::Kernel_base::Triangle_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<2>  Feature_dimension;
 
   typedef RTriangle_2 Rep;

Kernel_23/include/CGAL/Triangle_3.h

@@ -46,7 +46,7 @@ class Triangle_3 : public R_::Kernel_base::Triangle_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<2>  Feature_dimension;
 
   typedef typename R_::Kernel_base::Triangle_3  Rep;

Kernel_23/include/CGAL/Vector_2.h

@@ -52,7 +52,7 @@ class Vector_2 : public R_::Kernel_base::Vector_2
 
 public:
 
-  typedef Dimension_tag<2>  Ambiant_dimension;
+  typedef Dimension_tag<2>  Ambient_dimension;
   typedef Dimension_tag<0>  Feature_dimension;
 
   typedef RVector_2 Rep;

Kernel_23/include/CGAL/Vector_3.h

@@ -51,7 +51,7 @@ class Vector_3 : public R_::Kernel_base::Vector_3
 
 public:
 
-  typedef Dimension_tag<3>  Ambiant_dimension;
+  typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<0>  Feature_dimension;
 
   typedef typename R_::Cartesian_const_iterator_3 Cartesian_const_iterator;

Kernel_23/test/Kernel_23/Dimension.cpp

@@ -1,4 +1,4 @@
-// Test program for Ambiant_dimension<> and Feature_dimension<>.
+// Test program for Ambient_dimension<> and Feature_dimension<>.
 // Sylvain Pion, 2005, 2008.
 
 #include <cassert>
@@ -15,18 +15,18 @@
 template < typename K >
 void test(CGAL::Dimension_tag<2>)
 {
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Point_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Point_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Vector_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Vector_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Direction_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Direction_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Line_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Line_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Ray_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Ray_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Segment_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Segment_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Triangle_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Triangle_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Iso_rectangle_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Iso_rectangle_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Circle_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Circle_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Conic_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Conic_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<typename K::Aff_transformation_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<typename K::Aff_transformation_2>::value );
-  assert( 2 == CGAL::Ambiant_dimension<CGAL::Bbox_2>::value );
+  assert( 2 == CGAL::Ambient_dimension<CGAL::Bbox_2>::value );
 
   assert( 0 == CGAL::Feature_dimension<typename K::Point_2>::value );
   assert( 0 == CGAL::Feature_dimension<typename K::Vector_2>::value );
@@ -45,19 +45,19 @@ void test(CGAL::Dimension_tag<2>)
 template < typename K >
 void test(CGAL::Dimension_tag<3>)
 {
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Point_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Point_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Plane_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Plane_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Vector_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Vector_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Direction_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Direction_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Line_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Line_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Ray_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Ray_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Segment_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Segment_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Triangle_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Triangle_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Tetrahedron_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Tetrahedron_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Iso_cuboid_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Iso_cuboid_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Sphere_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Sphere_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<typename K::Aff_transformation_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<typename K::Aff_transformation_3>::value );
-  assert( 3 == CGAL::Ambiant_dimension<CGAL::Bbox_3>::value );
+  assert( 3 == CGAL::Ambient_dimension<CGAL::Bbox_3>::value );
 
   assert( 0 == CGAL::Feature_dimension<typename K::Point_3>::value );
   assert( 2 == CGAL::Feature_dimension<typename K::Plane_3>::value );
@@ -79,16 +79,16 @@ void check_dyn_dim(CGAL::Dynamic_dimension_tag) {}
 template < typename K >
 void test(CGAL::Dynamic_dimension_tag)
 {
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Point_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Point_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Hyperplane_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Hyperplane_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Vector_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Vector_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Direction_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Direction_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Line_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Line_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Ray_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Ray_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Segment_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Segment_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Iso_box_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Iso_box_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Sphere_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Sphere_d>::type() );
-  check_dyn_dim(typename CGAL::Ambiant_dimension<typename K::Aff_transformation_d>::type() );
+  check_dyn_dim(typename CGAL::Ambient_dimension<typename K::Aff_transformation_d>::type() );
 
   assert( 0 == CGAL::Feature_dimension<typename K::Point_d>::value );
   assert( 0 == CGAL::Feature_dimension<typename K::Vector_d>::value );

Kernel_d/include/CGAL/Cartesian_d.h

@@ -75,8 +75,8 @@ public:
   typedef typename Point_d_base::Cartesian_const_iterator Cartesian_const_iterator_d;
 
   template <typename T>
-  struct Ambiant_dimension {
+  struct Ambient_dimension {
-    typedef typename T::Ambiant_dimension type;
+    typedef typename T::Ambient_dimension type;
   };
 
   template <typename T>

Kernel_d/include/CGAL/Homogeneous_d.h

@@ -75,8 +75,8 @@ public:
   typedef typename Point_d_base::Cartesian_const_iterator Cartesian_const_iterator_d;
 
   template <typename T>
-  struct Ambiant_dimension {
+  struct Ambient_dimension {
-    typedef typename T::Ambiant_dimension type;
+    typedef typename T::Ambient_dimension type;
   };
 
   template <typename T>

Kernel_d/include/CGAL/Kernel_d/Aff_transformation_d.h

@@ -31,7 +31,7 @@ template <class pR>
 class Aff_transformation_d : public pR::Aff_transformation_d_base
 { public:
 
-  typedef CGAL::Dynamic_dimension_tag            Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag            Ambient_dimension;
 
   typedef typename pR::Aff_transformation_d_base Base;
   typedef Aff_transformation_d<pR>               Self;

Kernel_d/include/CGAL/Kernel_d/Direction_d.h

@@ -32,7 +32,7 @@ template <class pR>
 class Direction_d : public pR::Direction_d_base
 { public:
 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dimension_tag<0>      Feature_dimension;
 
   typedef typename pR::Direction_d_base Base;

Kernel_d/include/CGAL/Kernel_d/Hyperplane_d.h

@@ -33,7 +33,7 @@ class Hyperplane_d : public pR::Hyperplane_d_base
 {
 public:
 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dynamic_dimension_tag Feature_dimension;
 
   typedef typename pR::Hyperplane_d_base Base;

Kernel_d/include/CGAL/Kernel_d/Iso_box_d.h

@@ -312,7 +312,7 @@ namespace CGAL {
     
 public:
 
-    typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+    typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
     typedef CGAL::Dynamic_dimension_tag Feature_dimension;
 
     Iso_box_d() {}

Kernel_d/include/CGAL/Kernel_d/Line_d.h

@@ -52,7 +52,7 @@ $d$-dimensional Euclidian space.}*/
 
 public: 
 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dimension_tag<1>      Feature_dimension;
 
 /*{\Mtypes 5}*/

Kernel_d/include/CGAL/Kernel_d/Point_d.h

@@ -40,7 +40,7 @@ private:
   typedef typename R::LA LA;
 public:
 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dimension_tag<0>      Feature_dimension;
 
   Point_d(int d=0) : Base(d) {}

Kernel_d/include/CGAL/Kernel_d/Ray_d.h

@@ -54,7 +54,7 @@ it goes to infinity.}*/
 
 public: 
 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dimension_tag<1>      Feature_dimension;
 
 /*{\Mtypes 4}*/

Kernel_d/include/CGAL/Kernel_d/Segment_d.h

@@ -56,7 +56,7 @@ the target point of $s$, both points are called endpoints of $s$. A
 segment whose endpoints are equal is called \emph{degenerate}.}*/
 public: 
 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dimension_tag<1>      Feature_dimension;
 
 /*{\Mtypes 5}*/

Kernel_d/include/CGAL/Kernel_d/Sphere_d.h

@@ -79,7 +79,7 @@ set of defining points to be legal.  The orientation of $S$ is equal
 to the orientation of the defining points, i.e., |orientation(A)|. }*/
 
 public: 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dynamic_dimension_tag Feature_dimension;
 
 /*{\Mtypes 4}*/

Kernel_d/include/CGAL/Kernel_d/Vector_d.h

@@ -31,7 +31,7 @@ template <class pR>
 class Vector_d : public pR::Vector_d_base
 { public:
 
-  typedef CGAL::Dynamic_dimension_tag Ambiant_dimension;
+  typedef CGAL::Dynamic_dimension_tag Ambient_dimension;
   typedef CGAL::Dimension_tag<0>      Feature_dimension;
 
   typedef typename pR::Vector_d_base Base;

Principal_component_analysis/include/CGAL/barycenter.h

@@ -46,7 +46,7 @@ barycenter(InputIterator begin, InputIterator end, const K & )
   typedef typename std::iterator_traits<InputIterator>::value_type              pair;
   typedef typename pair::second_type                                            FT;
   typedef typename pair::first_type                                             Point;
-  typedef typename Vector<typename Ambiant_dimension<Point, K>::type, K>::type  Vector;
+  typedef typename Vector<typename Ambient_dimension<Point, K>::type, K>::type  Vector;
 
   CGAL_precondition(begin != end);
 
@@ -74,7 +74,7 @@ barycenter(PointInputIterator begin, PointInputIterator end,
 {
   typedef typename std::iterator_traits<PointInputIterator>::value_type         Point;
   typedef typename std::iterator_traits<WeightInputIterator>::value_type        FT;
-  typedef typename Vector<typename Ambiant_dimension<Point, K>::type, K>::type  Vector;
+  typedef typename Vector<typename Ambient_dimension<Point, K>::type, K>::type  Vector;
 
   CGAL_precondition(begin != end);
 

Principal_component_analysis/include/CGAL/bounding_box.h

@@ -125,17 +125,17 @@ bounding_box(ForwardIterator f, ForwardIterator l, const Traits& t, Dynamic_dime
 
 template < class ForwardIterator, class K >
 inline
-typename Iso_box<typename Ambiant_dimension<typename std::iterator_traits<ForwardIterator>
+typename Iso_box<typename Ambient_dimension<typename std::iterator_traits<ForwardIterator>
                                               ::value_type, K>::type, K >::type
 bounding_box(ForwardIterator f, ForwardIterator l, const K& k)
 {
   typedef typename std::iterator_traits< ForwardIterator >::value_type Pt;
-  return CGALi::bounding_box(f, l, k, typename Ambiant_dimension<Pt>::type() );
+  return CGALi::bounding_box(f, l, k, typename Ambient_dimension<Pt>::type() );
 }
 
 template < class ForwardIterator >
 inline
-typename Iso_box<typename Ambiant_dimension<typename std::iterator_traits<ForwardIterator>::value_type,
+typename Iso_box<typename Ambient_dimension<typename std::iterator_traits<ForwardIterator>::value_type,
                    typename Kernel_traits<typename std::iterator_traits<ForwardIterator>::value_type>::Kernel>::type,
                  typename Kernel_traits<typename std::iterator_traits<ForwardIterator>::value_type>::Kernel >::type
 bounding_box(ForwardIterator f, ForwardIterator l)

Principal_component_analysis/include/CGAL/centroid.h

@@ -812,7 +812,7 @@ template < typename InputIterator,
            typename K, 
            typename Dim_tag  >
 inline
-typename Point<typename Ambiant_dimension<typename std::iterator_traits<InputIterator>::value_type, K>::type,
+typename Point<typename Ambient_dimension<typename std::iterator_traits<InputIterator>::value_type, K>::type,
                K
               >::type
 centroid(InputIterator begin,
@@ -832,7 +832,7 @@ template < typename InputIterator, typename Kernel_or_Dim >
 struct Dispatch_centroid
 {
   typedef Kernel_or_Dim K;
-  typedef typename Point<typename Ambiant_dimension<typename std::iterator_traits<InputIterator>::value_type, K>::type,
+  typedef typename Point<typename Ambient_dimension<typename std::iterator_traits<InputIterator>::value_type, K>::type,
                K
               >::type result_type;
 
@@ -848,7 +848,7 @@ struct Dispatch_centroid
 template < typename InputIterator, int dim >
 struct Dispatch_centroid < InputIterator, Dimension_tag<dim> >
 {
-  typedef typename Point<typename Ambiant_dimension<
+  typedef typename Point<typename Ambient_dimension<
                typename std::iterator_traits<InputIterator>::value_type,
                typename Kernel_traits<typename std::iterator_traits<InputIterator>::value_type>::Kernel >::type,
                typename Kernel_traits<typename std::iterator_traits<InputIterator>::value_type>::Kernel >::type result_type;
@@ -865,7 +865,7 @@ struct Dispatch_centroid < InputIterator, Dimension_tag<dim> >
 template < typename InputIterator >
 struct Dispatch_centroid <InputIterator, Dynamic_dimension_tag>
 {
-  typedef typename Point<typename Ambiant_dimension<
+  typedef typename Point<typename Ambient_dimension<
                typename std::iterator_traits<InputIterator>::value_type,
                typename Kernel_traits<typename std::iterator_traits<InputIterator>::value_type>::Kernel >::type,
                typename Kernel_traits<typename std::iterator_traits<InputIterator>::value_type>::Kernel >::type result_type;
@@ -896,7 +896,7 @@ centroid(InputIterator begin, InputIterator end, const Kernel_or_dim& k_or_d)
 // and uses Kernel_traits<> to find out its kernel, and Feature_dimension for the dimension tag.
 template < typename InputIterator >
 inline
-typename Point<typename Ambiant_dimension<
+typename Point<typename Ambient_dimension<
                typename std::iterator_traits<InputIterator>::value_type,
                typename Kernel_traits<typename std::iterator_traits<InputIterator>::value_type>::Kernel >::type,
                typename Kernel_traits<typename std::iterator_traits<InputIterator>::value_type>::Kernel >::type