From 2038e558b23815298f119c038b38e0b51287ca77 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Mael=20Rouxel-Labb=C3=A9?=
 <mael.rouxel.labbe@geometryfactory.com>
Date: Fri, 9 Dec 2016 11:24:22 +0100
Subject: [PATCH] Fixed typos in doc and comments

---
 .../Arrangement_on_surface_2.txt              |  4 +--
 .../bgl_primal_adapter.cpp                    |  2 +-
 .../Arrangement_on_surface_2/conics.cpp       |  6 ++---
 .../dcel_extension.cpp                        |  2 +-
 .../dcel_extension_io.cpp                     |  2 +-
 .../Arrangement_on_surface_2/dual_lines.cpp   |  4 +--
 .../dual_with_data.cpp                        |  4 +--
 .../overlay_unbounded.cpp                     |  4 +--
 .../rational_functions.cpp                    |  4 +--
 ...tional_functions_rational_coefficients.cpp |  4 +--
 .../include/CGAL/Arr_default_overlay_traits.h |  2 +-
 .../Bezier_bounding_rational_traits.h         |  2 +-
 .../include/CGAL/Arr_segment_traits_2.h       | 26 +++++++++----------
 .../Arrangement_on_surface_2_global.h         |  2 +-
 .../include/CGAL/Arrangement_on_surface_2.h   | 24 ++++++++---------
 .../test_conic_polycurve.cpp                  |  2 +-
 BGL/examples/BGL_arrangement_2/primal.cpp     |  2 +-
 .../Boolean_set_operations_2.txt              |  6 ++---
 .../Boolean_set_operations_2/set_union.cpp    |  2 +-
 .../include/CGAL/Polygon_set_2.h              |  4 +--
 20 files changed, 54 insertions(+), 54 deletions(-)

diff --git a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/Arrangement_on_surface_2.txt b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/Arrangement_on_surface_2.txt
index 04f0d321b8a..719b0deceed 100644
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/Arrangement_on_surface_2.txt
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/Arrangement_on_surface_2.txt
@@ -880,7 +880,7 @@ algorithms, each implemented by a separate class. All classes that implement
 the various algorithms are made interchangeable, letting the algorithm in use
 vary according to the user choice.} for answering queries:
 <UL>
-<LI> `Arr_naive_point_location<Arrangement>` employes the
+<LI> `Arr_naive_point_location<Arrangement>` employs the
   <I>naive</I> strategy. It locates the query point naively,
   exhaustively scanning all arrangement cells.
 
@@ -986,7 +986,7 @@ segments that form a pentagonal face, with a single isolated
 vertex in its interior, as depicted in \cgalFigureRef{arr_figex_5}.
 Notice that we use the same arrangement structure in the next
 three example programs. The arrangement construction is performed by
-the function `construct_segment_arr()` defined in the heade file
+the function `construct_segment_arr()` defined in the header file
 `point_location_utils.h`. (Its listing is omitted here.) The
 program employs the naive and the landmark strategies to issue
 several point-location queries on this arrangement.
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/bgl_primal_adapter.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/bgl_primal_adapter.cpp
index daa67290fab..eaefa6b442a 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/bgl_primal_adapter.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/bgl_primal_adapter.cpp
@@ -47,7 +47,7 @@ double get(Edge_length_func edge_length, Arrangement_2::Halfedge_handle e)
   return edge_length(e);
 }
 
-/* The folowing is a workaround for a bug in the BGL upto and including version
+/* The following is a workaround for a bug in the BGL up to and including version
  * 103400.
  *
  * Unfortunately some of the calls to the get() function below from the BGL
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/conics.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/conics.cpp
index 8c97dc4994a..6d34beb1f62 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/conics.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/conics.cpp
@@ -71,13 +71,13 @@ int main ()
   // Insert a full unit circle that is centered at (0, 4).
   Rat_circle_2  circ5 (Rat_point_2(0,4), 1);
   Conic_arc_2   c5 (circ5);
-  
+
   insert (arr, c5);
 
   // Insert a parabolic arc that is supported by a parabola y = -x^2
   // (or: x^2 + y = 0) and whose endpoints are (-sqrt(3), -3) ~ (-1.73, -3)
-  // and (sqrt(2), -2) ~ (1.41, -2). Notice that since the x-coordinates 
-  // of the endpoints cannot be acccurately represented, we specify them
+  // and (sqrt(2), -2) ~ (1.41, -2). Notice that since the x-coordinates
+  // of the endpoints cannot be accurately represented, we specify them
   // as the intersections of the parabola with the lines y = -3 and y = -2.
   // Note that the arc is clockwise oriented.
   Conic_arc_2   c6 =
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension.cpp
index f2391770ed1..f5dd1962f60 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension.cpp
@@ -56,7 +56,7 @@ int main ()
   bool                                      flag;
 
   for (eit = arr.edges_begin(); eit != arr.edges_end(); ++eit) {
-    // Check if the halfegde has the same diretion as its associated
+    // Check if the halfedge has the same direction as its associated
     // segment. Note that its twin always has an opposite direction.
     flag = (eit->source()->point() == eit->curve().source());
     eit->set_data (flag);
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension_io.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension_io.cpp
index 58ee05e68bb..fc89f889611 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension_io.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dcel_extension_io.cpp
@@ -88,7 +88,7 @@ int main ()
 
   for (eit = arr.edges_begin(); eit != arr.edges_end(); ++eit)
   {
-    // Check if the halfegde has the same diretion as its associated
+    // Check if the halfedge has the same direction as its associated
     // segment. Note that its twin always has an opposite direction.
     flag = (eit->source()->point() == eit->curve().source());
     eit->set_data (flag);
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_lines.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_lines.cpp
index caf71fc446c..e251bb38c22 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_lines.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_lines.cpp
@@ -29,7 +29,7 @@ int main(int argc, char *argv[])
     return 1;
   }
 
-  // Read the points from the file, and consturct their dual lines.
+  // Read the points from the file, and construct their dual lines.
   // The input file format should be (all coordinate values are integers):
   // <n>                                 // number of point.
   // <x_1> <y_1>                         // point #1.
@@ -56,7 +56,7 @@ int main(int argc, char *argv[])
   }
   in_file.close();
 
-  // Construct the dual arrangement by aggragately inserting the lines.
+  // Construct the dual arrangement by aggregately inserting the lines.
   Arrangement_2 arr;
 
   insert(arr, dual_lines.begin(), dual_lines.end());
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_with_data.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_with_data.cpp
index 2bd4d160565..40ad8492614 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_with_data.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/dual_with_data.cpp
@@ -31,7 +31,7 @@ int main(int argc, char *argv[])
     return (1);
   }
 
-  // Read the points from the file, and consturct their dual lines.
+  // Read the points from the file, and construct their dual lines.
   std::vector<Point_2>           points;
   std::list<X_monotone_curve_2>  dual_lines;
 
@@ -55,7 +55,7 @@ int main(int argc, char *argv[])
   }
   in_file.close();
 
-  // Construct the dual arrangement by aggragately inserting the lines.
+  // Construct the dual arrangement by aggregately inserting the lines.
   Arrangement_2 arr;
 
   insert(arr, dual_lines.begin(), dual_lines.end());
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/overlay_unbounded.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/overlay_unbounded.cpp
index 0bd7ebb546f..8c8bc346185 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/overlay_unbounded.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/overlay_unbounded.cpp
@@ -11,7 +11,7 @@
 #include <CGAL/Arr_overlay_2.h>
 #include <CGAL/Arr_default_overlay_traits.h>
 
-// Define a functor for creating a label from a characer and an integer.
+// Define a functor for creating a label from a character and an integer.
 struct Overlay_label
 {
   std::string operator() (char c, int i) const
@@ -48,7 +48,7 @@ int main ()
   insert (arr1, Line_2 (Point_2(0, 0), Point_2(1, -1)));
 
   // Label the four (unbounded) face of the arrangement as 'A' to 'D'.
-  // We do so by traversing the incident faces to the halfedges aroung the 
+  // We do so by traversing the incident faces to the halfedges around the
   // single arrangement vertex (0, 0).
   CGAL_assertion (arr1.number_of_vertices() == 1);
 
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions.cpp
index 8257f8036d7..cb458dddec5 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions.cpp
@@ -55,8 +55,8 @@ int main ()
   Polynomial_1 Q2 = 1+x*x;
   
   arcs.push_back(construct_arc(P2, Q2, Alg_real_1(-3), Alg_real_1(3)));
-  
-  // Create an arc supported by the parbola y = 8 - x^2,
+
+  // Create an arc supported by the parabola y = 8 - x^2,
   // defined over the interval [-2, 3]:
   Polynomial_1 P3 = 8 - x*x; 
   arcs.push_back(construct_arc(P3, Alg_real_1(-2), Alg_real_1(3)));
diff --git a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions_rational_coefficients.cpp b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions_rational_coefficients.cpp
index c54fa882517..3a74f13b91f 100644
--- a/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions_rational_coefficients.cpp
+++ b/Arrangement_on_surface_2/examples/Arrangement_on_surface_2/rational_functions_rational_coefficients.cpp
@@ -68,8 +68,8 @@ int main ()
   
   arcs.push_back(construct_arc(P2.begin(), P2.end(), Q2.begin(), Q2.end(),
                                Alg_real_1(-3), Alg_real_1(3)));
-  
-  // Create an arc supported by the parbola y = 0.8 - 0.1x^2 / 0.1,
+
+  // Create an arc supported by the parabola y = 0.8 - 0.1x^2 / 0.1,
   // defined over the interval [-2, 3]:
   Rat_vec P3,Q3;
   P3.push_back(Rational(4,5));
diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_default_overlay_traits.h b/Arrangement_on_surface_2/include/CGAL/Arr_default_overlay_traits.h
index c036dec6392..7f56affda75 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_default_overlay_traits.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_default_overlay_traits.h
@@ -51,7 +51,7 @@ class Arr_default_overlay_traits :
  * An overlay-traits class for computing the overlay of two arrangement whose
  * face records are extended with auxiliary data fields, of type Data1 and
  * Data2, respectively. The resulting arrangement is also assumed to be
- * templated with the face-extended DCEL, where each face stores an auxiliart
+ * templated with the face-extended DCEL, where each face stores an auxiliary
  * Res_data field.
  * The resulting data object that corresponds to the overlay of two data
  * object of type Data1 and Data2 is computed using the functor
diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_bounding_rational_traits.h b/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_bounding_rational_traits.h
index 5dae19b49d3..1e44ecf7a92 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_bounding_rational_traits.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_geometry_traits/Bezier_bounding_rational_traits.h
@@ -1166,7 +1166,7 @@ private:
       return;
     }
 
-    // Consturct bounding boxes for the two curves and check whether they
+    // Construct bounding boxes for the two curves and check whether they
     // overlap.
     Bez_point_bbox      bbox1;
     Bez_point_bbox      bbox2;
diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_segment_traits_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_segment_traits_2.h
index 3732015b9ce..8829404efc7 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_segment_traits_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_segment_traits_2.h
@@ -37,12 +37,12 @@ template <class Kernel_ = Exact_predicates_exact_constructions_kernel>
 class Arr_segment_2;
 
 /*!
- * \class A traits class for maintaining an arrangement of segments, aoviding
+ * \class A traits class for maintaining an arrangement of segments, avoiding
  * cascading of computations as much as possible.
  *
  * The class is derived from the parameterized kernel to extend the traits
  * with all the types and operations supported by the kernel. This makes it
- * possible to use the traits class for data structures that extends the
+ * possible to use the traits class for data structures that extend the
  * Arrangement_2 type and require objects and operations supported by the
  * kernel, but not defined in this derived class.
  */
@@ -71,7 +71,7 @@ public:
   typedef CGAL::Segment_assertions<Arr_segment_traits_2<Kernel> >
                                           Segment_assertions;
 
-  /*! \class Representation of a segement with cached data.
+  /*! \class Representation of a segment with cached data.
    */
   class _Segment_cached_2 {
   public:
@@ -169,7 +169,7 @@ public:
       is_pt_max = (res == SMALLER);
 
       CGAL_precondition_msg(! is_degen,
-                            "Cannot contruct a degenerate segment.");
+                            "Cannot construct a degenerate segment.");
     }
 
     /*!
@@ -192,7 +192,7 @@ public:
       is_pt_max = (res == SMALLER);
 
       CGAL_precondition_msg(! is_degen,
-                            "Cannot contruct a degenerate segment.");
+                            "Cannot construct a degenerate segment.");
 
       l = kernel.construct_line_2_object()(seg);
       is_vert = kernel.is_vertical_2_object()(seg);
@@ -365,7 +365,7 @@ public:
 
   public:
     /*!
-     * Compare two points lexigoraphically: by x, then by y.
+     * Compare two points lexicographically: by x, then by y.
      * \param p1 The first point.
      * \param p2 The second point.
      * \return LARGER if x(p1) > x(p2), or if x(p1) = x(p2) and y(p1) > y(p2);
@@ -500,7 +500,7 @@ public:
      * \param p The intersection point.
      * \pre The point p lies on both curves, and both of them must be also be
      *      defined (lexicographically) to its left.
-     * \return The relative position of cv1 with respect to cv2 immdiately to
+     * \return The relative position of cv1 with respect to cv2 immediately to
      *         the left of p: SMALLER, LARGER or EQUAL.
      */
     Comparison_result operator()(const X_monotone_curve_2& cv1,
@@ -523,7 +523,7 @@ public:
       CGAL_precondition(compare_xy(cv1.left(), p) == SMALLER &&
                         compare_xy(cv2.left(), p) == SMALLER);
 
-      // Compare the slopes of the two segments to determine thir relative
+      // Compare the slopes of the two segments to determine their relative
       // position immediately to the left of q.
       // Notice we use the supporting lines in order to compare the slopes,
       // and that we swap the order of the curves in order to obtain the
@@ -559,7 +559,7 @@ public:
      * \param p The intersection point.
      * \pre The point p lies on both curves, and both of them must be also be
      *      defined (lexicographically) to its right.
-     * \return The relative position of cv1 with respect to cv2 immdiately to
+     * \return The relative position of cv1 with respect to cv2 immediately to
      *         the right of p: SMALLER, LARGER or EQUAL.
      */
     Comparison_result operator()(const X_monotone_curve_2& cv1,
@@ -582,7 +582,7 @@ public:
       CGAL_precondition(compare_xy(cv1.right(), p) == LARGER &&
                         compare_xy(cv2.right(), p) == LARGER);
 
-      // Compare the slopes of the two segments to determine thir relative
+      // Compare the slopes of the two segments to determine their relative
       // position immediately to the left of q.
       // Notice we use the supporting lines in order to compare the slopes.
       return (kernel.compare_slope_2_object()(cv1.line(), cv2.line()));
@@ -624,7 +624,7 @@ public:
               equal(cv1.right(), cv2.right()));
     }
 
-    /*! Detemine whether the two points are the same.
+    /*! Determine whether the two points are the same.
      * \param p1 The first point.
      * \param p2 The second point.
      * \return (true) if the two point are the same; (false) otherwise.
@@ -734,7 +734,7 @@ public:
   public:
     /*!
      * Find the intersections of the two given curves and insert them into the
-     * given output iterator. As two segments may itersect only once, only a
+     * given output iterator. As two segments may intersect only once, only a
      * single intersection will be contained in the iterator.
      * \param cv1 The first curve.
      * \param cv2 The second curve.
@@ -986,7 +986,7 @@ public:
     friend class Arr_segment_traits_2<Kernel>;
 
     /*! Obtain a trimmed version of a line.
-     * \param xseg The x-mnotone segmet.
+     * \param xseg The x-monotone segment.
      * \param src the new start endpoint.
      * \param tgt the new end endpoint.
      * \return The trimmed x-monotone segment.
diff --git a/Arrangement_on_surface_2/include/CGAL/Arrangement_2/Arrangement_on_surface_2_global.h b/Arrangement_on_surface_2/include/CGAL/Arrangement_2/Arrangement_on_surface_2_global.h
index 82f54401fa5..5e7db6b76d2 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arrangement_2/Arrangement_on_surface_2_global.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arrangement_2/Arrangement_on_surface_2_global.h
@@ -1325,7 +1325,7 @@ bool is_valid (const Arrangement_on_surface_2<GeomTraits, TopTraits>& arr)
       }
       else
       {
-        // Get the first halfedge aroung v_below that is directed from left to
+        // Get the first halfedge around v_below that is directed from left to
         // right and the first halfedge that is directed from right to left.
         first = circ = v_below->incident_halfedges();
         Halfedge_const_handle he_left;  // A halfedge to the left of v_below.
diff --git a/Arrangement_on_surface_2/include/CGAL/Arrangement_on_surface_2.h b/Arrangement_on_surface_2/include/CGAL/Arrangement_on_surface_2.h
index cfa701c73c3..7a32faac95e 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arrangement_on_surface_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arrangement_on_surface_2.h
@@ -54,9 +54,9 @@ namespace CGAL {
 
 /*! \class Arrangement_on_surface_2
  * The arrangement class, representing 2-dimensional subdivisions induced on
- * an arbitrary surface by a set of arbitrary planar.
+ * an arbitrary surface by a set of arbitrary planar curves.
  * The GeomTraits parameter corresponds to a geometry-traits class that
- * is defines the Point_2 and X_monotone_curve_2 types and implements the
+ * defines the Point_2 and X_monotone_curve_2 types and implements the
  * geometric predicates and constructions for the family of curves it defines.
  * The TopTraits parameter corresponds to a topology-traits class that defines
  * the topological structure of the surface. Note that the geometry traits
@@ -1713,23 +1713,23 @@ protected:
   Comparison_result _compare_induced_path_length(const DHalfedge* e1,
                                                  const DHalfedge* e2) const;
 
-  /*
-   * Updates the indices according to boundary locations
+  /*!
+   * Update the indices according to boundary locations
    */
   void
   _compute_indices(Arr_parameter_space ps_x_curr, Arr_parameter_space ps_y_curr,
                    Arr_parameter_space ps_x_next, Arr_parameter_space ps_y_next,
                    int& x_index, int& y_index,  boost::mpl::bool_<true>) const;
 
-  /*
-   * Updates the indices according to boundary locations (i.e. does nothing)
+  /*!
+   * Update the indices according to boundary locations (i.e. does nothing)
    */
   void
   _compute_indices(Arr_parameter_space ps_x_curr, Arr_parameter_space ps_y_curr,
                    Arr_parameter_space ps_x_next, Arr_parameter_space ps_y_next,
                    int& x_index, int& y_index,  boost::mpl::bool_<false>) const;
 
-  /*
+  /*!
    * Is the first given x-monotone curve above the second given?
    * \param xcv1 the first given curve
    * \param ps_y1 the parameter space in y of xcv1
@@ -1744,7 +1744,7 @@ protected:
                  Arr_parameter_space ps_y1,
                  Arr_has_identified_side_tag) const;
 
-  /*
+  /*!
    * Is the first given x-monotone curve above the second given?
    * \param xcv1 the first given curve
    * \param ps_y1 the parameter space in y of xcv1
@@ -1759,7 +1759,7 @@ protected:
                  Arr_parameter_space ps_y1,
                  Arr_has_contracted_side_tag) const;
 
-  /*
+  /*!
    * Is the first given x-monotone curve above the second given?
    * \param xcv1 the first given curve
    * \param ps_y1 the parameter space in y of xcv1
@@ -1775,7 +1775,7 @@ protected:
                  Arr_boundary_cond_tag) const;
 
   /*!
-   * Computes the signs (in left/right and bottom/top) of a path
+   * Compute the signs (in left/right and bottom/top) of a path
    * induced by the sequence he_to=>cv,cv_dir=>he_away, and reports
    * as side-effect the halfedges pointing to local minima copied
    * to an outputiterator.
@@ -2035,7 +2035,7 @@ protected:
   void _relocate_inner_ccbs_in_new_face(DHalfedge* new_he);
 
   /*!
-   * Relocate all  vertices to their proper position,
+   * Relocate all vertices to their proper position,
    * immediately after a face has split due to the insertion of a new halfedge.
    * \param new_he The new halfedge that caused the split, such that the new
    *               face lies to its left and the old face to its right.
@@ -2113,7 +2113,7 @@ protected:
   DFace* _remove_edge(DHalfedge* e, bool remove_source, bool remove_target);
 
   /*!
-   * Decides whether a hole is created when an edge is removed.
+   * Decide whether a hole is created when an edge is removed.
    *
    * \param signs1 signs of future ccb1
    * \param signs2 signs of future ccb2
diff --git a/Arrangement_on_surface_2/test/Arrangement_on_surface_2/test_conic_polycurve.cpp b/Arrangement_on_surface_2/test/Arrangement_on_surface_2/test_conic_polycurve.cpp
index 212effd14be..086e6e834a2 100644
--- a/Arrangement_on_surface_2/test/Arrangement_on_surface_2/test_conic_polycurve.cpp
+++ b/Arrangement_on_surface_2/test/Arrangement_on_surface_2/test_conic_polycurve.cpp
@@ -141,7 +141,7 @@ void check_compare_end_points_xy_2()
   // Insert a parabolic arc that is supported by a parabola y = -x^2
   // (or: x^2 + y = 0) and whose endpoints are (-sqrt(3), -3) ~ (-1.73, -3)
   // and (sqrt(2), -2) ~ (1.41, -2). Notice that since the x-coordinates
-  // of the endpoints cannot be acccurately represented, we specify them
+  // of the endpoints cannot be accurately represented, we specify them
   // as the intersections of the parabola with the lines y = -3 and y = -2.
   // Note that the arc is clockwise oriented.
   Conic_curve_2
diff --git a/BGL/examples/BGL_arrangement_2/primal.cpp b/BGL/examples/BGL_arrangement_2/primal.cpp
index 9f169f219eb..831e7ef1b75 100644
--- a/BGL/examples/BGL_arrangement_2/primal.cpp
+++ b/BGL/examples/BGL_arrangement_2/primal.cpp
@@ -47,7 +47,7 @@ double get(Edge_length_func edge_length, Arrangement_2::Halfedge_handle e)
   return edge_length(e);
 }
 
-/* The folowing is a workaround for a bug in the BGL upto and including version
+/* The following is a workaround for a bug in the BGL up to and including version
  * 103400.
  *
  * Unfortunately some of the calls to the get() function below from the BGL
diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/Boolean_set_operations_2.txt b/Boolean_set_operations_2/doc/Boolean_set_operations_2/Boolean_set_operations_2.txt
index 87c69bb56e4..a8c384699ea 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/Boolean_set_operations_2.txt
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/Boolean_set_operations_2.txt
@@ -508,9 +508,9 @@ The package provides the overloaded free function
 range defined by the two input iterators `[begin, end)` intersect.
 
 The class `General_polygon_set_2` also provides equivalent member
-functions that aggragately operate on a range of input polygons or
-polygons with holes. When such a member function is called, the general 
-polygons represented by the current object are considered operands as 
+functions that aggregately operate on a range of input polygons or
+polygons with holes. When such a member function is called, the general
+polygons represented by the current object are considered operands as
 well. Thus, you can easily compute the union of our polygon range as
 follows:
 \code{.cpp}
diff --git a/Boolean_set_operations_2/examples/Boolean_set_operations_2/set_union.cpp b/Boolean_set_operations_2/examples/Boolean_set_operations_2/set_union.cpp
index c86ab45606b..63f64fa06cc 100644
--- a/Boolean_set_operations_2/examples/Boolean_set_operations_2/set_union.cpp
+++ b/Boolean_set_operations_2/examples/Boolean_set_operations_2/set_union.cpp
@@ -69,7 +69,7 @@ int main (int argc, char* argv[])
     circles.push_back (construct_polygon (circle));
   }
 
-  // Compute the union aggragately.
+  // Compute the union aggregately.
   std::list<Polygon_with_holes_2> res;
   CGAL::join (circles.begin(), circles.end(), std::back_inserter (res));
 
diff --git a/Boolean_set_operations_2/include/CGAL/Polygon_set_2.h b/Boolean_set_operations_2/include/CGAL/Polygon_set_2.h
index 529905bc2f4..938290efce5 100644
--- a/Boolean_set_operations_2/include/CGAL/Polygon_set_2.h
+++ b/Boolean_set_operations_2/include/CGAL/Polygon_set_2.h
@@ -51,12 +51,12 @@ public:
   typedef  typename Base::Arrangement_2                   Arrangement_2;
   typedef  typename Base::Size                            Size;
 
-  /*! Default consturctor. */
+  /*! Default constructor. */
   Polygon_set_2 () :
     Base()
   {}
 
-  /*! Consturctor from the base class. */
+  /*! Constructor from the base class. */
   Polygon_set_2 (const Base& base) :
     Base (base)
   {}