spelling corrections

Some spelling corrections (Directories starting with `E`-` L`),
some backward work
some forward work

Arrangement_on_surface_2/include/CGAL/Arrangement_2/Arrangement_on_surface_2_global.h

@@ -1466,7 +1466,7 @@ is_valid(const Arrangement_on_surface_2<GeometryTraits_2, TopologyTraits>& arr)
 
 //-----------------------------------------------------------------------------
 // Compute the zone of the given x-monotone curve in the existing arrangement.
-// Meaning, it output the arrangment's vertices, edges and faces that the
+// Meaning, it output the arrangement's vertices, edges and faces that the
 // x-monotone curve intersects.
 template <typename GeometryTraits_2, typename TopologyTraits,
           typename OutputIterator, typename PointLocation>

Arrangement_on_surface_2/include/CGAL/Arrangement_on_surface_2.h

@@ -3026,7 +3026,7 @@ template <typename GeomTraits, typename TopTraits>
 bool is_valid(const Arrangement_on_surface_2<GeomTraits, TopTraits>& arr);
 
 /*! Compute the zone of the given x-monotone curve in the existing arrangement.
- * Meaning, it output the arrangment's vertices, edges and faces that the
+ * Meaning, it output the arrangement's vertices, edges and faces that the
  * x-monotone curve intersects.
  * \param arr The arrangement.
  * \param c the x-monotone curve that its zone is computed.

Arrangement_on_surface_2/include/CGAL/graph_traits_Arrangement_2.h

@@ -37,7 +37,7 @@ namespace boost {
 
 /*! \class
  * Specialization of the BGL graph-traits template, which serves as a (primal)
- * adapter for Arrangment_on_surface_2, where the valid arrangement vertices
+ * adapter for Arrangement_on_surface_2, where the valid arrangement vertices
  * correspond to graph verices and arrangement halfedges correspond to
  * arrangement edges.
  * Note that non-fictitious vertices at infinity are also considered as graph
@@ -333,7 +333,7 @@ public:
 
 /*! \class
  * Specialization of the BGL graph-traits template, which serves as a (primal)
- * adapter for Arrangment_2, where the arrangement vertices correspond to graph
+ * adapter for Arrangement_2, where the arrangement vertices correspond to graph
  * verices and arrangement halfedges correspond to arrangement edges.
  */
 template <class Traits_, class Dcel_>

Circular_kernel_3/include/CGAL/Circular_kernel_3/Circular_arc_3.h

@@ -80,7 +80,7 @@ namespace CGAL {
         // we can optimize the computations of the sign (for the has_on functor),
         // by computing the vector s-c and t-s, in order to use them directly on
         // another compute_sign_of_cross_product function
-        // we can save time computing the substractions
+        // we can save time computing the subtractions
         // the problem is: more memory space is needed
         _sign_cross_product =
           CGAL::SphericalFunctors::compute_sign_of_cross_product<SK>(s,t,c.center());

Documentation/doc/biblio/cgal_manual.bib

@@ -1856,7 +1856,7 @@ ABSTRACT = {We present the first complete, exact and efficient C++ implementatio
 @article{ cgal:p-plcbd-93
   ,author       = "B. Piper"
   ,title        = "Properties of Local Coordinates based on Dirichlet
-                   tesselations"
+                   Tessellations"
   ,journal      = "Computing Suppl."
   ,year         = "1993"
   ,volume       = "8"

Documentation/doc/biblio/geom.bib

@@ -230,7 +230,7 @@
 @article{am-castd-90
 , author =	"D. J. Abel and D. M. Mark"
 , title =	"A comparative analysis of some two-dimensional orderings"
-, journal =	"Intl. J. Geographic Informations Systems"
+, journal =	"Intl. J. Geographic Information Systems"
 , volume =	4
 , year =	1990
 , pages =	"21--31"
@@ -10917,7 +10917,7 @@ sites with respect to the geodesic metric within a simple $n$-sided polygon."
 
 @article{ab-rdt-85
 , author =	"Peter F. Ash and Ethan D. Bolker"
-, title =	"Recognizing {Dirichlet} Tesselations"
+, title =	"Recognizing {Dirichlet} Tessellations"
 , journal =	"Geom. Dedicata"
 , volume =	19
 , year =	1985
@@ -26077,7 +26077,7 @@ present a polynomial-time exact algorithm to solve this problem."
 
 @article{b-cdt-81
 , author =	"A. Bowyer"
-, title =	"Computing {Dirichlet} tesselations"
+, title =	"Computing {Dirichlet} Tessellations"
 , journal =	"Comput. J."
 , volume =	24
 , year =	1981
@@ -48682,7 +48682,7 @@ library."
 
 @article{dcn-accac-85
 , author =	"J. A. Dougenik and N. R. Chrisman and D. R. Niemeyer"
-, title =	"An algorithm to construct continous area cartograms"
+, title =	"An algorithm to construct continuous area cartograms"
 , journal =	"Professional Geographer"
 , volume =	37
 , year =	1985
@@ -56844,7 +56844,7 @@ points per bucket (on average) is fastest."
 
 @article{f-sodt-90
 , author =	"G. Farin"
-, title =	"Surfaces over {Dirichlet} tesselations"
+, title =	"Surfaces over {Dirichlet} Tessellations"
 , journal =	"Comput. Aided Geom. Design"
 , volume =	7
 , year =	1990
@@ -76188,7 +76188,7 @@ processing. Contains C code."
 
 @article{hm-mcedr-80
 , author =	"A. L. Hinde and R. E. Miles"
-, title =	"{Monte}-{Carlo} Estimates of the Distributions of the Random Polygons of the {Voronoi} Tesselation With Respect to a {Poisson} Process"
+, title =	"{Monte}-{Carlo} Estimates of the Distributions of the Random Polygons of the {Voronoi} Tessellation With Respect to a {Poisson} Process"
 , journal =	"Journal of Statistics and Computer Simulation"
 , volume =	10
 , year =	1980
@@ -80482,7 +80482,7 @@ fitting method."
 @inproceedings{ikm-owlac-93
 , author =	"Christian Icking and Rolf Klein and Lihong Ma"
 , title =	"The Optimal Way for Looking Around a Corner"
-, booktitle =	"Proc. 4th IEEE--IEE Vehicle Navigation and Informations Systems Conference"
+, booktitle =	"Proc. 4th IEEE--IEE Vehicle Navigation and Information Systems Conference"
 , nickname =	"VNIS '93"
 , site =	"Ottawa, Canada"
 , year =	1993
@@ -92210,7 +92210,7 @@ some 2 curves cross exponentially many times."
 
 @article{kkbs-p3dpv-92
 , author =	"S. Kumar and S. K. Kurtz and J. R. Banavar and M. G. Sharma"
-, title =	"Properties of a 3-Dimensional {Poisson}-{Voronoi} Tesselation: a {Monte}-{Carlo} Study"
+, title =	"Properties of a 3-Dimensional {Poisson}-{Voronoi} Tessellation: a {Monte}-{Carlo} Study"
 , journal =	"Journal Of Statistical Physics"
 , volume =	67
 , number =	"3--4"
@@ -102836,7 +102836,7 @@ used in many computational geometry algorithms. Contains C++ code."
 
 @incollection{m-rtgh-84
 , author =	"J. Mecke"
-, title =	"Random tesselations generated by hyperplanes"
+, title =	"Random Tessellations generated by hyperplanes"
 , editor =	"R. Ambartzumian and W. Weil"
 , booktitle =	"Stochastic Geometry, Geometric Statistics, Stereology"
 , publisher =	"B. G. Teubner"
@@ -122558,7 +122558,7 @@ Previous title:  On-Line Navigation Through Regions of Variable
 
 @article{rohg-nrgdv-88
 , author =	"R. Riedinger and P. Oelhafen and M. Habar and H. J. Guntherodt"
-, title =	"A New Realization of the Global {Delaunay}-{Voronoi} Tesselation in Arbitrary Dimension"
+, title =	"A New Realization of the Global {Delaunay}-{Voronoi} Tessellation in Arbitrary Dimension"
 , journal =	"Zeitschrift Fur Physikalische Chemie Neue Folge"
 , volume =	157
 , number =	"P1"
@@ -122569,7 +122569,7 @@ Previous title:  On-Line Navigation Through Regions of Variable
 
 @article{rohg-advt-88
 , author =	"R. Riedinger and P. Oelhafen and M. Habar and H. J. Guntherodt"
-, title =	"About the {Delaunay}-{Voronoi} Tesselation"
+, title =	"About the {Delaunay}-{Voronoi} Tessellation"
 , journal =	"J. Comput. Phys."
 , volume =	74
 , number =	1
@@ -125934,7 +125934,7 @@ convex hulls."
 
 @article{st-pwvt-88
 , author =	"M. Sakamoto and M. Takagi"
-, title =	"Patterns of weighted {Voronoi} tesselations"
+, title =	"Patterns of weighted {Voronoi} Tessellations"
 , journal =	"Science and Form"
 , volume =	3
 , year =	1988
@@ -132348,7 +132348,7 @@ Contains C code."
 
 @article{sc-tdfem-85
 , author =	"D. N. Shenton and Z. J. Cendes"
-, title =	"Three-Dimensional Finite Element Mesh Generation Using {Delaunay} Tesselation"
+, title =	"Three-Dimensional Finite Element Mesh Generation Using {Delaunay} Tessellation"
 , journal =	"IEEE Trans. Magn."
 , volume =	"MAG-21"
 , number =	6
@@ -133265,7 +133265,7 @@ Contains C code."
 
 @article{s-vidt-80
 , author =	"R. Sibson"
-, title =	"A vector identity for the {Dirichlet} tesselation"
+, title =	"A vector identity for the {Dirichlet} Tessellation"
 , journal =	"Math. Proc. Camb. Phil. Soc."
 , volume =	87
 , year =	1980
@@ -133301,7 +133301,7 @@ Contains C code."
 
 @article{s-dtada-80
 , author =	"R. Sibson"
-, title =	"The {Dirichlet} tesselation as an aid in data analysis"
+, title =	"The {Dirichlet} Tessellation as an aid in data analysis"
 , journal =	"Scand. J. Statist."
 , volume =	7
 , year =	1980
@@ -137630,7 +137630,7 @@ depth."
 , author =	"K. Sugihara"
 , title =	"Algorithms for computing {Voronoi} diagrams"
 , editor =	"A. Okabe and B. Boots and K. Sugihara"
-, booktitle =	"Spatial Tesselations: Concepts and Applications of Voronoi Diagrams"
+, booktitle =	"Spatial Tessellations: Concepts and Applications of Voronoi Diagrams"
 , publisher =	"John Wiley \& Sons"
 , address =	"Chichester, UK"
 , year =	1992
@@ -139848,7 +139848,7 @@ code."
 
 @article{too-natdv-83
 , author =	"M. Tanemura and T. Ogawa and W. Ogita"
-, title =	"A New Algorithm for Three-Dimensional {Voronoi} Tesselation"
+, title =	"A New Algorithm for Three-Dimensional {Voronoi} Tessellation"
 , journal =	"J. Comput. Phys."
 , volume =	51
 , year =	1983
@@ -146302,7 +146302,7 @@ multiple two-dimensional obstacles of convex and concave shapes are shown."
 
 @article{w-cnddt-81
 , author =	"D. F. Watson"
-, title =	"Computing the $n$-Dimensional {Delaunay} Tesselation with Applications to {Voronoi} Polytopes"
+, title =	"Computing the $n$-Dimensional {Delaunay} Tessellation with Applications to {Voronoi} Polytopes"
 , journal =	"Comput. J."
 , volume =	24
 , number =	2
@@ -148056,7 +148056,7 @@ Contains C code."
 
 @techreport{wl-pvatp-82
 , author =	"H. A. G. Wijshoff and J. van Leeuwen"
-, title =	"Periodic versus arbitrary tesselations of the plane using polyominos of a single type"
+, title =	"Periodic versus arbitrary Tessellations of the plane using polyominos of a single type"
 , type =	"Report"
 , number =	"RUU-CS-82-11"
 , institution =	"Dept. Comput. Sci., Utrecht Univ."

Envelope_2/doc/Envelope_2/CGAL/envelope_2.h

@@ -101,7 +101,7 @@ namespace CGAL {
 
 Computes the upper envelope of a set of \f$ x\f$-monotone curves in
 \f$ \mathbb{R}^2\f$, as given by the range `[begin, end)` with the help
-of the arrangement traits object `traits` responsbile for their creation.
+of the arrangement traits object `traits` responsible for their creation.
 Reusing the same traits object improves speed if the traits class caches data.
 The upper envelope is represented using the output maximization diagram `diag`.
 

Envelope_2/doc/Envelope_2/PackageDescription.txt

@@ -8,7 +8,7 @@
 \cgalPkgPicture{Envelope_2/fig/Envelope_2.png}
 \cgalPkgSummaryBegin
 \cgalPkgAuthor{Ron Wein}
-\cgalPkgDesc{This package consits of functions that computes the lower (or upper) envelope of a set of arbitrary curves in 2D. The output is represented as an envelope diagram, namely a subdivision of the \f$ x\f$-axis into intervals, such that the identity of the curves that induce the envelope on each interval is unique.}
+\cgalPkgDesc{This package consists of functions that computes the lower (or upper) envelope of a set of arbitrary curves in 2D. The output is represented as an envelope diagram, namely a subdivision of the \f$ x\f$-axis into intervals, such that the identity of the curves that induce the envelope on each interval is unique.}
 \cgalPkgManuals{Chapter_Envelopes_of_Curves_in_2D,PkgEnvelope2Ref}
 \cgalPkgSummaryEnd
 \cgalPkgShortInfoBegin

Envelope_2/examples/Envelope_2/envelope_segments.cpp

@@ -24,7 +24,7 @@ typedef CGAL::Envelope_diagram_1<Traits_2>              Diagram_1;
 
 int main ()
 {
-  // Consrtuct the input segments and label them 'A' ... 'H'.
+  // Construct the input segments and label them 'A' ... 'H'.
   std::list<Labeled_segment_2>   segments;
 
   segments.push_back (Labeled_segment_2 (Segment_2 (Point_2 (0, 1),

Envelope_2/include/CGAL/Envelope_2/Env_divide_and_conquer_2_impl.h

@@ -507,7 +507,7 @@ compare_y_at_end(const X_monotone_curve_2& xcv1,
 
   if (ps_y1 != ARR_INTERIOR) {
     if (ps_y2 != ARR_INTERIOR) {
-      // The curve ends have boundary conditions with oposite signs in y,
+      // The curve ends have boundary conditions with opposite signs in y,
       // we readily know their relative position (recall that they do not
       // instersect).
       if ((ps_y1 == ARR_BOTTOM_BOUNDARY) && (ps_y2 == ARR_TOP_BOUNDARY))
@@ -678,7 +678,7 @@ _merge_two_intervals(Edge_const_handle e1, bool is_leftmost1,
           break;
       }
 
-      // Create a new vertex in the output diagram that corrsponds to the
+      // Create a new vertex in the output diagram that corresponds to the
       // current intersection point.
       if (is_in_x_range) {
         CGAL_assertion(current_res != EQUAL);
@@ -903,7 +903,7 @@ _merge_two_intervals(Edge_const_handle e1, bool is_leftmost1,
 
   // origin_of_v could be EQUAL but the curves do not intersect.
   // This is because of the fact that v could be the endpoint of the NEXT
-  // curve (which is lower than the currrent curve. The second diagram, however,
+  // curve (which is lower than the current curve. The second diagram, however,
   // has a curve that ends at v.
   // For example:
   // First diagram is the segment: [(0, -1), (1, 0)]

Envelope_2/test/Envelope_2/test_envelope_segments.cpp

@@ -35,7 +35,7 @@ enum Coord_input_format
  * \param filename The name of the input file.
  * \param format The coordinate format.
  * \param segs Output: The segments.
- * \return Whether the segments were successfuly read.
+ * \return Whether the segments were successfully read.
  */
 bool read_segments (const char* filename,
                     Coord_input_format format,
@@ -113,7 +113,7 @@ bool find_curve(I begin, I end, const Curve_2& c)
  * Check the envelope of a given set of segments.
  * \param segs The segments.
  * \param diag The diagram.
- * \param is_lower Does the diagram reprsent the lower or the upper envelope.
+ * \param is_lower Does the diagram represent the lower or the upper envelope.
  * \return Whether the diagram structure is correct.
  */
 bool check_envelope (const Curve_list& segs,

Envelope_3/doc/Envelope_3/PackageDescription.txt

@@ -8,7 +8,7 @@
 \cgalPkgPicture{Envelope_3/fig/Envelope_3.png}
 \cgalPkgSummaryBegin
 \cgalPkgAuthors{Dan Halperin, Michal Meyerovitch, Ron Wein, and Baruch Zukerman}
-\cgalPkgDesc{This package consits of functions that compute the lower (or upper) envelope of a set of arbitrary surfaces in 3D. The output is represented as an 2D envelope diagram, namely a planar subdivision such that the identity of the surfaces that induce the envelope over each diagram cell is unique.}
+\cgalPkgDesc{This package consists of functions that compute the lower (or upper) envelope of a set of arbitrary surfaces in 3D. The output is represented as an 2D envelope diagram, namely a planar subdivision such that the identity of the surfaces that induce the envelope over each diagram cell is unique.}
 \cgalPkgManuals{Chapter_Envelopes_of_Surfaces_in_3D,PkgEnvelope3Ref}
 \cgalPkgSummaryEnd
 \cgalPkgShortInfoBegin

Envelope_3/include/CGAL/Env_sphere_traits_3.h

@@ -847,7 +847,7 @@ public:
     // the curve cv (i.e. lower if computing the lower envelope, or upper if
     // computing the upper envelope)
     // precondition: the surfaces are defined above cv
-    //               the choise between s1 and s2 for the envelope is the same
+    //               the choice between s1 and s2 for the envelope is the same
     //               for every point in the infinitesimal region above cv
     //               the surfaces are EQUAL over the curve cv
     Comparison_result

Envelope_3/include/CGAL/Env_surface_data_traits_3.h

@@ -48,10 +48,10 @@ public:
   typedef typename Base_traits_3::Xy_monotone_surface_3
                                                    Base_xy_monotone_surface_3;
 
-  // Representation of a surface with an addtional data field:
+  // Representation of a surface with an additional data field:
   typedef _Curve_data_ex<Base_surface_3, Surface_data>  Surface_3;
 
-  // Representation of an xy-monotone surface with an addtional data field:
+  // Representation of an xy-monotone surface with an additional data field:
   typedef _Curve_data_ex<Base_xy_monotone_surface_3,
                          Xy_monotone_surface_data>      Xy_monotone_surface_3;
 
@@ -70,7 +70,7 @@ public:
   {}
   //@}
 
-  /// \name Overriden functors.
+  /// \name Overridden functors.
   //@{
 
   class Make_xy_monotone_3

Envelope_3/include/CGAL/Env_triangle_traits_3.h

@@ -259,7 +259,7 @@ public:
     }
 
     /*!
-     * Check if the triangel is vertical.
+     * Check if the triangle is vertical.
      */
     bool is_vertical() const
     {
@@ -457,7 +457,7 @@ public:
       // the points should not be collinear
       CGAL_assertion(s1 != 0);
 
-      // should also take care for the original and trasformed direction of
+      // should also take care for the original and transformed direction of
       // the segment
       Sign s2 = CGAL_NTS sign(w3 - w1);
       Sign s = CGAL_NTS sign(int(s1 * s2));
@@ -756,7 +756,7 @@ public:
     // upper envelope)
     // precondition: the surfaces are defined above cv (to the left of cv,
     //               if cv is directed from min point to max point)
-    //               the choise between surf1 and surf2 for the envelope is
+    //               the choice between surf1 and surf2 for the envelope is
     //               the same for every point in the infinitesimal region
     //               above cv
     //               the surfaces are EQUAL over the curve cv
@@ -1019,7 +1019,7 @@ public:
     return b;
   }
 
-  // check whethe two xy-monotone surfaces (3D-triangles or segments)
+  // check whether two xy-monotone surfaces (3D-triangles or segments)
   // intersect
   bool do_intersect(const Xy_monotone_surface_3& s1,
                     const Xy_monotone_surface_3& s2) const
@@ -1057,7 +1057,7 @@ public:
       return Object();
 
     // if intersecting two segment - alculate the intersection
-    // as in the case of dimention 2
+    // as in the case of dimension 2
     if (s1.is_segment() && s2.is_segment())
     {
       Object res = intersection_of_segments(s1, s2);

Envelope_3/include/CGAL/Envelope_3/Env_plane_traits_3_functions.h

@@ -73,7 +73,7 @@ Object half_plane_half_plane_proj_intersection(const typename K::Plane_3 &h1,
   if(assign(ray, obj))
     return ray_under_linear_constraint(ray, l1, k);
 
-  CGAL_error(); // doesnt suppose to reach here
+  CGAL_error(); // doesn't suppose to reach here
   return Object();
 }
 

Envelope_3/include/CGAL/Envelope_3/Envelope_divide_and_conquer_3.h

@@ -183,7 +183,7 @@ public:
   }
 
   // compute the envelope of surfaces in 3D, using the default arbitrary
-  // dividor
+  // divider
   template <class SurfaceIterator>
   void construct_lu_envelope(SurfaceIterator begin, SurfaceIterator end,
                              Minimization_diagram_2& result)
@@ -193,7 +193,7 @@ public:
   }
 
 
-  // compute the envelope of surfaces in 3D using the given set dividor
+  // compute the envelope of surfaces in 3D using the given set divider
   template <class SurfaceIterator, class SetDividor>
   void construct_lu_envelope(SurfaceIterator begin, SurfaceIterator end,
                              Minimization_diagram_2& result,
@@ -219,7 +219,7 @@ public:
   }
 
   // compute the envelope of xy-monotone surfaces in 3D,
-  // using the default arbitrary dividor
+  // using the default arbitrary divider
   template <class SurfaceIterator>
   void construct_envelope_xy_monotone(SurfaceIterator begin,
                                       SurfaceIterator end,
@@ -230,7 +230,7 @@ public:
   }
 
   // compute the envelope of xy-monotone surfaces in 3D using the given
-  // set dividor
+  // set divider
   template <class SurfaceIterator, class SetDividor>
   void construct_envelope_xy_monotone(SurfaceIterator begin,
                                       SurfaceIterator end,
@@ -366,7 +366,7 @@ protected:
             he->twin()->face()->set_no_data();
           }
 
-          // init auxiliary data for f and its boundarys.
+          // init auxiliary data for f and its boundaries.
           for(Outer_ccb_iterator ocit = f->outer_ccbs_begin();
               ocit != f->outer_ccbs_end(); ocit++){
             Ccb_halfedge_circulator face_hec = *ocit;
@@ -475,7 +475,7 @@ public:
     {
       Halfedge_handle hh = ei;
       // there must be data from at least one map, because all the surfaces
-      // are continous
+      // are continuous
       if (!get_aux_is_set(hh, 0) || !get_aux_is_set(hh, 1))
         continue;
       CGAL_assertion(get_aux_is_set(hh, 0));
@@ -604,7 +604,7 @@ public:
       if (vh->is_decision_set())
         continue;
       // there must be data from at least one map, because all the surfaces
-      // are continous
+      // are continuous
       CGAL_assertion(get_aux_is_set(vh, 0));
       CGAL_assertion(get_aux_is_set(vh, 1));
       CGAL_assertion(!aux_has_no_data(vh, 1) || !aux_has_no_data(vh, 0));

Envelope_3/include/CGAL/Envelope_3/Envelope_element_visitor_3.h

@@ -511,7 +511,7 @@ public:
     // we should have a list of points where we should split the edge's curve
     // we then will sort the list, and split the curve
 
-    // we should pay a special attension for overlaps, since we can get special
+    // we should pay a special attention for overlaps, since we can get special
     // edges
 
     // we associate with every point 2 flags:
@@ -567,7 +567,7 @@ public:
             CGAL_assertion(icv != nullptr);
 
             // we will add the *icv end points to the split_points, unless
-            // but we should be carefull with infinite curves.
+            // but we should be careful with infinite curves.
             Arr_traits_adaptor_2<Traits> tr_adaptor(*m_traits);
             if (tr_adaptor.parameter_space_in_y_2_object()
                 (*icv, ARR_MIN_END) == ARR_INTERIOR &&
@@ -825,7 +825,7 @@ protected:
   // and we compare the surfaces to the left/right of it
   // otherwise we compare the surfaces over an (arbitrary) edge of the face,
   // assuming this is the correct answer for the face since the surfaces are
-  // continous
+  // continuous
   // In either case, we try to copy decision from an incident face, is possible
   // before asking the geometric question
   Comparison_result resolve_minimal_face(Face_handle face,
@@ -1000,7 +1000,7 @@ protected:
                                                  const Xy_monotone_surface_3&,
                                                  Arr_all_sides_oblivious_tag)
   {
-    CGAL_error(); // doesnt' suppose to reach here at all!!!
+    CGAL_error(); // doesn't suppose to reach here at all!!!
     return SMALLER;
   }
 
@@ -1035,7 +1035,7 @@ protected:
   bool can_copy_decision_from_face_to_edge(Halfedge_handle h)
   {
     // can copy decision from face to its incident edge if the aux
-    // envelopes are continous over the face and edge
+    // envelopes are continuous over the face and edge
     return (h->get_has_equal_aux_data_in_face(0) &&
             h->get_has_equal_aux_data_in_face(1));
   }
@@ -1043,7 +1043,7 @@ protected:
   bool can_copy_decision_from_edge_to_vertex(Halfedge_handle h)
   {
     // can copy decision from face to its incident edge if the aux
-    // envelopes are continous over the face and edge
+    // envelopes are continuous over the face and edge
     return (h->get_has_equal_aux_data_in_target(0) &&
             h->get_has_equal_aux_data_in_target(1));
   }
@@ -1113,7 +1113,7 @@ protected:
       // intersection, there would also be intersection between the surfaces
       // over the face, and we know now that there isn't.
 
-      // if the first map is continous, but the second isn't (i.e. when we move
+      // if the first map is continuous, but the second isn't (i.e. when we move
       // from the face to the edge, the envelope goes closer), then if the
       // second map wins on the face, it wins on the edge also
       else if (!hh->is_decision_set() &&
@@ -1125,7 +1125,7 @@ protected:
         hh->twin()->set_decision(DAC_DECISION_SECOND);
 
       }
-      // if the second map is continous, but the first isn't, then if the
+      // if the second map is continuous, but the first isn't, then if the
       // first map wins on the face, it wins on the edge also
       else if (!hh->is_decision_set() &&
                face->get_decision() == DAC_DECISION_FIRST &&
@@ -1164,7 +1164,7 @@ protected:
     {
       vh->set_decision(hh->get_decision());
     }
-    // if the first map is continous, but the second isn't (i.e. when we move
+    // if the first map is continuous, but the second isn't (i.e. when we move
     // from the edge to the vertex, the envelope goes closer), then if the
     // second map wins on the edge, it wins on the vertex also
     else if (hh->get_decision() == DAC_DECISION_SECOND &&
@@ -1173,7 +1173,7 @@ protected:
     {
       vh->set_decision(DAC_DECISION_SECOND);
     }
-    // if the second map is continous, but the first isn't, then if the
+    // if the second map is continuous, but the first isn't, then if the
     // first map wins on the edge, it wins on the vertex also
     else if (hh->get_decision() == DAC_DECISION_FIRST &&
              !hh->get_has_equal_aux_data_in_target(0) &&
@@ -1299,7 +1299,7 @@ protected:
           res = convert_decision_to_comparison_result(hh->get_decision());
           result = true;
         }
-        // if the first map is continous, but the second isn't (i.e. when we
+        // if the first map is continuous, but the second isn't (i.e. when we
         // move from the edge to the face, the envelope goes farther), then
         // if the first map wins on the edge, it wins on the face also
         else if (hh->is_decision_set() &&
@@ -1310,7 +1310,7 @@ protected:
           res = convert_decision_to_comparison_result(DAC_DECISION_FIRST);
           result = true;
         }
-        // if the second map is continous, but the first isn't, then if the
+        // if the second map is continuous, but the first isn't, then if the
         // second map wins on the edge, it wins on the face also
         else if (hh->is_decision_set() &&
                  hh->get_decision() == DAC_DECISION_SECOND &&
@@ -1342,7 +1342,7 @@ protected:
           res = convert_decision_to_comparison_result(hh->get_decision());
           result = true;
         }
-        // if the first map is continous, but the second isn't (i.e. when we
+        // if the first map is continuous, but the second isn't (i.e. when we
         // move from the edge to the face, the envelope goes farther), then
         // if the first map wins on the edge, it wins on the face also
         else if (hh->is_decision_set() &&
@@ -1354,7 +1354,7 @@ protected:
 
           result = true;
         }
-        // if the second map is continous, but the first isn't, then if the
+        // if the second map is continuous, but the first isn't, then if the
         // second map wins on the edge, it wins on the face also
         else if (hh->is_decision_set() &&
                  hh->get_decision() == DAC_DECISION_SECOND &&
@@ -1408,7 +1408,7 @@ protected:
       // can copy the data from the edge, since we already took care of
       // the vertices of projected intersections
       edge->source()->set_decision(edge->get_decision());
-    // if the first map is continous, but the second isn't (i.e. when we move
+    // if the first map is continuous, but the second isn't (i.e. when we move
     // from the edge to the vertex, the envelope goes closer), then if the
     // second map wins on the edge, it wins on the vertex also
     else if (edge->get_decision() == DAC_DECISION_SECOND &&
@@ -1417,7 +1417,7 @@ protected:
     {
       edge->source()->set_decision(DAC_DECISION_SECOND);
     }
-    // if the second map is continous, but the first isn't, then if the
+    // if the second map is continuous, but the first isn't, then if the
     // first map wins on the edge, it wins on the vertex also
     else if (edge->get_decision() == DAC_DECISION_FIRST &&
              !edge->twin()->get_has_equal_aux_data_in_target(0) &&
@@ -1432,7 +1432,7 @@ protected:
       // can copy the data from the edge, since we already took care of
       // the vertices of projected intersections
       edge->target()->set_decision(edge->get_decision());
-    // if the first map is continous, but the second isn't (i.e. when we move
+    // if the first map is continuous, but the second isn't (i.e. when we move
     // from the edge to the vertex, the envelope goes closer), then if the
     // second map wins on the edge, it wins on the vertex also
     else if (edge->get_decision() == DAC_DECISION_SECOND &&
@@ -1441,7 +1441,7 @@ protected:
     {
       edge->target()->set_decision(DAC_DECISION_SECOND);
     }
-    // if the second map is continous, but the first isn't, then if the
+    // if the second map is continuous, but the first isn't, then if the
     // first map wins on the edge, it wins on the vertex also
     else if (edge->get_decision() == DAC_DECISION_FIRST &&
              !edge->get_has_equal_aux_data_in_target(0) &&
@@ -2117,7 +2117,7 @@ protected:
 
 
   // this observer is used in the process of resolving a face
-  // it listens to what happpens in the copied arrangement, and copies back
+  // it listens to what happens in the copied arrangement, and copies back
   // the actions to result arrangements very efficiently
   class Copy_observer : public Md_observer
   {
@@ -2263,7 +2263,7 @@ protected:
     virtual void after_create_edge(Halfedge_handle e)
 
     {
-      // a new edge e was created in small_arr, we should create a corresponing
+      // a new edge e was created in small_arr, we should create a corresponding
       // edge in big_arr
       CGAL_assertion(map_vertices.is_defined(create_edge_v1));
       CGAL_assertion(map_vertices.is_defined(create_edge_v2));
@@ -3171,7 +3171,7 @@ protected:
     // for using its methods
     Self* parent;
 
-    // current type of interection curve that is inserted
+    // current type of intersection curve that is inserted
     Multiplicity itype;
   };
 

Envelope_3/include/CGAL/Envelope_3/set_dividors.h

@@ -46,7 +46,7 @@ public:
 };
 
 //! The last element is stored in the second sequence and all the other (n-1)
-//  elments are stored in the first sequence.
+//  elements are stored in the first sequence.
 class Incremental_dividor
 {
 public:

Envelope_3/test/Envelope_3/Envelope_test_3.h

@@ -34,7 +34,7 @@
 // of general surfaces in 3d, used for testing.
 // The algorithm projects the surfaces on the plane, and projects all the intersections
 // between surfaces, to get an arrangement that is a partition of the real envelope.
-// Then it computes for each part in the arragement the surfaces on the envelope over it
+// Then it computes for each part in the arrangement the surfaces on the envelope over it
 // by comparing them all.
 
 namespace CGAL {
@@ -214,7 +214,7 @@ public:
     for(; hi != result.halfedges_end(); ++hi, ++hi)
     {
       Halfedge_handle hh = hi;
-      // first we find the surfaces that are defined over the egde
+      // first we find the surfaces that are defined over the edge
       std::list<Xy_monotone_surface_3> defined_surfaces;
       for(std::size_t i=0; i<number_of_surfaces; ++i)
         if (is_surface_defined_over_edge(hh, surfaces[i]))
@@ -256,7 +256,7 @@ public:
    * \todo The overlay compares the data using assertions. This should be
    * replaced, but since we want to terminate the overlay once we
    * determine that the 2 diagrams differ, we cannot simply remove the
-   * assertions. One option is to generate an exeption and catch it.
+   * assertions. One option is to generate an exception and catch it.
    */
   bool compare_diagrams(Minimization_diagram_2 &test_env,
                         Minimization_diagram_2 &env)

Envelope_3/test/Envelope_3/Envelope_triangles_test_3.h

@@ -34,7 +34,7 @@
 // The algorithm projects the surfaces on the plane, and projects all the
 // intersections between surfaces, to get an arrangement that is a partition
 // of the real envelope.
-// Then it computes for each part in the arragement the surfaces on the
+// Then it computes for each part in the arrangement the surfaces on the
 // envelope over it by comparing them all.
 
 namespace CGAL {
@@ -222,7 +222,7 @@ public:
     Halfedge_iterator hi = result.halfedges_begin();
     for (; hi != result.halfedges_end(); ++hi, ++hi) {
       Halfedge_handle hh = hi;
-      // first we find the surfaces that are defined over the egde
+      // first we find the surfaces that are defined over the edge
       std::list<Xy_monotone_surface_3> defined_surfaces;
       for(std::size_t i=0; i<number_of_surfaces; ++i)
         if (is_surface_defined_over_edge(hh, surfaces[i]))

Filtered_kernel/TODO

@@ -2,7 +2,7 @@ Concerning the main code:
 -------------------------
 - Policy for overlapping comparisons : another good (faster) solution
   would be to set a static boolean variable to indicate a buggy comparison
-  happenned (a la IEEE inexact flags).  Drawback is that it's not thread safe,
+  happened (a la IEEE inexact flags).  Drawback is that it's not thread safe,
   but could be made safe with pthread_key_create()...
   Clearly, all this stuff is policy.
     struct overlap_throw {
@@ -108,7 +108,7 @@ except we could merge stuff with Olivier's Fixed !
 - Another approach to consider : Implement predicates taking one or several
   epsilons as additional parameters, and have the functionality found in Open
   CasCade, using sign(a, epsilon).  Then with a special traits or something,
-  we can define sign(a,epsilon) = sign(a), and get the traditionnal template
+  we can define sign(a,epsilon) = sign(a), and get the traditional template
   predicates from that...  So that the epsilons are removed at compile time ?
   It would be nice to know exactly the desired functionality for epsilons...
 

Filtered_kernel/include/CGAL/Filtered_kernel/internal/Static_filters/Static_filter_error.h

@@ -129,7 +129,7 @@ private:
   //    variable.
   // _e is a bound on the absolute error (difference between _b and the
   //    _real_ value of the variable.
-  // _d is the degree of the variable, it allows some additionnal checks.
+  // _d is the degree of the variable, it allows some additional checks.
   double _b, _e;
   int _d;
 };

Filtered_kernel/include/CGAL/Lazy.h

@@ -781,7 +781,7 @@ public:
 
   // E2A()(e) and std::forward<E>(e) could be evaluated in any order, but
   // that's ok, "forward" itself does not modify e, it may only mark it as
-  // modifyable by the outer call, which is obviously sequenced after the inner
+  // modifiable by the outer call, which is obviously sequenced after the inner
   // call E2A()(e).
   template<class E>
   Lazy_rep_0(E&& e)

Filtered_kernel/include/CGAL/Lazy_kernel.h

@@ -89,7 +89,7 @@ protected:
 // Exact_kernel = exact kernel that will be made lazy
 // Kernel = lazy kernel
 
-// the Generic base simplies applies the generic magic functor stupidly.
+// the Generic base simply applies the generic magic functor stupidly.
 // then the real base fixes up a few special cases.
 template < typename EK_, typename AK_, typename E2A_, typename Kernel_ >
 class Lazy_kernel_generic_base : protected internal::Enum_holder

Filtered_kernel/include/CGAL/Robust_construction.h

@@ -16,7 +16,7 @@
 
 namespace CGAL {
 
-// This template class is a functor adaptor targetting geometric constructions.
+// This template class is a functor adaptor targeting geometric constructions.
 //
 // They are "robust" in the following sense : the input and output are
 // approximate (doubles), but the internal computation tries to guarantees the

Generalized_map/doc/Generalized_map/Generalized_map.txt

@@ -117,7 +117,7 @@ To answer this need, a generalized map allows to create <I>attributes</I> which
 <LI>an <I>i</I>-cell may have no associated <I>i</I>-attribute.
 </UL>
 
-Since <I>i</I>-cells are not explicitely represented in generalized maps, the association between <I>i</I>-cells and <I>i</I>-attributes is transferred to darts: if attribute <I>a</I> is associated to <I>i</I>-cell <I>c</I>, all the darts belonging to <I>c</I> are associated to <I>a</I>.
+Since <I>i</I>-cells are not explicitly represented in generalized maps, the association between <I>i</I>-cells and <I>i</I>-attributes is transferred to darts: if attribute <I>a</I> is associated to <I>i</I>-cell <I>c</I>, all the darts belonging to <I>c</I> are associated to <I>a</I>.
 
 We can see two examples of generalized maps having some attributes in \cgalFigureRef{fig_gmap_with_attribs}. In the first example (Left), a 2D generalized map has 1-attributes containing a float, for example corresponding to the length of the associated 1-cell, and 2-attributes containing a color in RGB format. In the second example (Right), a 3D generalized map has 2-attributes containing a color in RGB format.
 

Generalized_map/examples/Generalized_map/gmap_3_dynamic_onmerge.cpp

@@ -40,7 +40,7 @@ struct Split_functor
   // operator() automatically called after a split.
   void operator()(Face_attribute& ca1, Face_attribute& ca2)
   {
-     // We need to reinitalize the weight of the two faces
+     // We need to reinitialize the weight of the two faces
     GMap_3::size_type nb1=mmap.darts_of_cell<2>(ca1.dart()).size();
     GMap_3::size_type nb2=mmap.darts_of_cell<2>(ca2.dart()).size();
     mmap.info<2>(ca1.dart())*=(double(nb1)/(nb1+nb2));

Generalized_map/include/CGAL/Generalized_map.h

@@ -193,7 +193,7 @@ namespace CGAL {
      *  @param dartinfoconverter functor to transform original information of darts into information of copies
      *  @param pointconverter functor to transform points in original map into points of copies.
      *  @param copy_perforated_darts true to copy also darts marked perforated (if any)
-     *  @param mark_perforated_darts true to mark darts wich are copies of perforated darts (if any)
+     *  @param mark_perforated_darts true to mark darts which are copies of perforated darts (if any)
      *  @post *this is valid.
      */
     template <typename GMap2, typename Dart_descriptor_2,
@@ -1415,7 +1415,7 @@ namespace CGAL {
        std::get<Helper::template Dimension_index<i>::value>
         (mattribute_containers).emplace(args...);
      // Reinitialize the ref counting of the new attribute. This is normally
-     // not required except if create_attribute is used as "copy contructor".
+     // not required except if create_attribute is used as "copy constructor".
      this->template init_attribute_ref_counting<i>(res);
      internal::Init_id<typename Attribute_range<i>::type>::run
          (this->template attributes<i>(), res);
@@ -2632,7 +2632,7 @@ namespace CGAL {
                   <Self, Map2, 0>::run(*this, map2, current, other);
             }
 
-            // We test if the injection is valid with its neighboors.
+            // We test if the injection is valid with its neighbours.
             // We go out as soon as it is not satisfied.
             for (i = 0; match && i <= dimension; ++i)
             {
@@ -3021,7 +3021,7 @@ namespace CGAL {
 
     /** Test if a face is a combinatorial polygon of length alg
      *  (a cycle of alg edges alpha1 links together).
-     * @param adart an intial dart
+     * @param adart an initial dart
      * @return true iff the face containing adart is a polygon of length alg.
      */
     bool is_face_combinatorial_polygon(Dart_const_descriptor adart,
@@ -3115,7 +3115,7 @@ namespace CGAL {
     }
 
     /** Test if a volume is a combinatorial tetrahedron.
-     * @param adart an intial dart
+     * @param adart an initial dart
      * @return true iff the volume containing adart is a combinatorial tetrahedron.
      */
     bool is_volume_combinatorial_tetrahedron(Dart_const_descriptor d1) const
@@ -3192,7 +3192,7 @@ namespace CGAL {
     }
 
     /** Test if a volume is a combinatorial hexahedron.
-     * @param adart an intial dart
+     * @param adart an initial dart
      * @return true iff the volume containing adart is a combinatorial hexahedron.
      */
     bool is_volume_combinatorial_hexahedron(Dart_const_descriptor d1) const
@@ -3385,7 +3385,7 @@ namespace CGAL {
     }
 
     /** Insert a vertex in the given 2-cell which is split in triangles,
-     * once for each inital edge of the facet.
+     * once for each initial edge of the facet.
      * @param adart a dart of the facet to triangulate.
      * @return A dart incident to the new vertex.
      */

Generalized_map/include/CGAL/Generalized_map/internal/Generalized_map_group_functors.h

@@ -34,7 +34,7 @@
  * GMap_group_attribute_functor<GMap> to group the <i>-attributes of two
  *    given i-cells (except for j-adim). If one i-attribute is nullptr, we set the
  *    darts of its i-cell to the second attribute. If both i-attributes are
- *    non nullptr, we overide all the i-attribute of the second i-cell to the
+ *    non nullptr, we override all the i-attribute of the second i-cell to the
  *    first i-attribute.
  *
  * GMap_degroup_attribute_functor_run<GMap> to degroup one i-attributes in two

Generator/include/CGAL/point_generators_2.h

@@ -658,7 +658,7 @@ struct Address_of {
   }
 };
 
-}//namesapce internal
+}//namespace internal
 
 template <class Point_2,
           class Triangle_2=typename Kernel_traits<Point_2>::Kernel::Triangle_2,

Generator/include/CGAL/random_convex_hull_in_disc_2.h

@@ -221,7 +221,7 @@ void random_convex_hull_in_disc_2(std::size_t n, double radius, std::list<typena
     boost::variate_generator<
         GEN&, boost::binomial_distribution<long> > bin(gen, dbin);
 
-    // How many points are falling in the small disc and wont be generated:
+    // How many points are falling in the small disc and won't be generated:
     long k_disc = bin();
     simulated_points += k_disc;
 

GraphicsView/demo/L1_Voronoi_diagram_2/include/CGAL/L1_voronoi_traits_2.h

@@ -59,7 +59,7 @@ public:
 
   // Returns the midpoint (under the L1 metric) that is on the rectangle
   // defined by the two points (the rectangle can be degenerate).
-  // As there are to enpoints, the index determines which is returned
+  // As there are to endpoints, the index determines which is returned
   static Point_2 midpoint(const Point_2& p1, const Point_2& p2, std::size_t index) {
     const Point_2 *pp1;
     const Point_2 *pp2;

GraphicsView/doc/GraphicsView/CGAL/Qt/Converter.h

@@ -8,7 +8,7 @@ objects in <I>Qt</I>, and the other way round. Note that some objects have no eq
 For example the `CGAL::Circle_2<K>` cannot be converted to something in Qt,
 and the unbounded objects `CGAL::Ray_2<K>` and `CGAL::Line_2<K>` are clipped.
 Note also that \cgal and <I>Qt</I> sometimes also use the same word for different things.
-For example <I>line</I> denotes an unbounded line in \cgal, wheras it denotes a bounded
+For example <I>line</I> denotes an unbounded line in \cgal, whereas it denotes a bounded
 segment in <I>Qt</I>.
 
 \tparam K must be a model of `Kernel`.

GraphicsView/include/CGAL/Buffer_for_vao.h

@@ -106,7 +106,7 @@ namespace internal
     }
   };
 
-  // Specialization when K==Local_kernel, because there is no need of convertion here.
+  // Specialization when K==Local_kernel, because there is no need of conversion here.
   template<typename Local_kernel>
   struct Geom_utils<Local_kernel, Local_kernel>
   {
@@ -577,7 +577,7 @@ protected:
           add_gouraud_normal(m_vertex_normals_for_face[i]);
         }
         else
-        { // Here user does not provide all vertex normals: we use face normal istead
+        { // Here user does not provide all vertex normals: we use face normal instead
           // and thus we will not be able to use Gouraud
           add_gouraud_normal(normal);
         }
@@ -703,7 +703,7 @@ protected:
         else { ++(edges[p1][p2]); }
       }
 
-      // (1) We insert all the edges as contraint in the CDT.
+      // (1) We insert all the edges as constraint in the CDT.
       typename CDT::Vertex_handle previous=nullptr, first=nullptr;
       for (unsigned int i=0; i<m_points_of_face.size(); ++i)
       {
@@ -872,7 +872,7 @@ protected:
   }
 
 protected:
-  // Types usefull for triangulation
+  // Types useful for triangulation
   struct Vertex_info
   {
     Local_vector v;

GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h

@@ -1781,7 +1781,7 @@ protected:
 
   QGLBuffer buffers[NB_VBO_BUFFERS];
 
-  // The following enum gives the indices of the differents vao.
+  // The following enum gives the indices of the different vao.
   enum
     { VAO_MONO_POINTS=0,
       VAO_COLORED_POINTS,

GraphicsView/include/CGAL/Qt/GraphicsViewPolylineInput.h

@@ -58,12 +58,12 @@ protected:
                                      bool closed = true);
 
 
-  // mousePressEvent returns true iff the event is consummed
+  // mousePressEvent returns true iff the event is consumed
   bool mousePressEvent(QGraphicsSceneMouseEvent *event);
 
   void mouseMoveEvent(QGraphicsSceneMouseEvent *event);
 
-  // keyPressEvent returns true iff the event is consummed
+  // keyPressEvent returns true iff the event is consumed
   bool keyPressEvent(QKeyEvent *event);
 
   void rubberbands(const QPointF& p);

GraphicsView/include/CGAL/Qt/camera_impl.h

@@ -1301,7 +1301,7 @@ void Camera::setFromProjectionMatrix(const qreal matrix[12]) {
   // divide the first 3 coordinates by the 4th one.
 
   // We derive the 4 dimensional vectorial product formula from the
-  // computation of a 4x4 determinant that is developped according to
+  // computation of a 4x4 determinant that is developed according to
   // its 4th column. This implies some 3x3 determinants.
   const Vec cam_pos =
       Vec(det(matrix[ind(0, 1)], matrix[ind(0, 2)], matrix[ind(0, 3)],

GraphicsView/include/CGAL/Qt/debug_impl.h

@@ -51,5 +51,5 @@ void traverse_resources(const QString& name, const QString& dirname, int indent)
   }
 }
 
-} // namesapce Qt
+} // namespace Qt
 } // namespace CGAL

GraphicsView/include/CGAL/Qt/frame.h

@@ -106,7 +106,7 @@ class Constraint;
   the Frame. The default constraint() is \c nullptr resulting in no filtering. Use
   setConstraint() to attach a Constraint to a frame.
 
-  Constraints are especially usefull for the ManipulatedFrame instances, in
+  Constraints are especially useful for the ManipulatedFrame instances, in
   order to forbid some mouse motions. See the <a
   href="../examples/constrainedFrame.html">constrainedFrame</a>, <a
   href="../examples/constrainedCamera.html">constrainedCamera</a> and <a
@@ -119,7 +119,7 @@ class Constraint;
   <h3>Derived classes</h3>
 
   The ManipulatedFrame class inherits Frame and implements a mouse motion
-  convertion, so that a Frame (and hence an object) can be manipulated in the
+  conversion, so that a Frame (and hence an object) can be manipulated in the
   scene with the mouse.
 
   \nosubgrouping */

GraphicsView/include/CGAL/Qt/frame_impl.h

@@ -717,7 +717,7 @@ bool Frame::settingAsReferenceFrameWillCreateALoop(const Frame *const frame) {
 /*! Returns the Frame coordinates of a point \p src defined in the world
  coordinate system (converts from world to Frame).
 
- inverseCoordinatesOf() performs the inverse convertion. transformOf() converts
+ inverseCoordinatesOf() performs the inverse conversion. transformOf() converts
  3D vectors instead of 3D coordinates.
 
  See the <a href="../examples/frameTransform.html">frameTransform example</a>
@@ -733,7 +733,7 @@ Vec Frame::coordinatesOf(const Vec &src) const {
 /*! Returns the world coordinates of the point whose position in the Frame
   coordinate system is \p src (converts from Frame to world).
 
-  coordinatesOf() performs the inverse convertion. Use inverseTransformOf() to
+  coordinatesOf() performs the inverse conversion. Use inverseTransformOf() to
   transform 3D vectors instead of 3D coordinates. */
 CGAL_INLINE_FUNCTION
 Vec Frame::inverseCoordinatesOf(const Vec &src) const {
@@ -749,7 +749,7 @@ Vec Frame::inverseCoordinatesOf(const Vec &src) const {
 /*! Returns the Frame coordinates of a point \p src defined in the
   referenceFrame() coordinate system (converts from referenceFrame() to Frame).
 
-  localInverseCoordinatesOf() performs the inverse convertion. See also
+  localInverseCoordinatesOf() performs the inverse conversion. See also
   localTransformOf(). */
 CGAL_INLINE_FUNCTION
 Vec Frame::localCoordinatesOf(const Vec &src) const {
@@ -759,7 +759,7 @@ Vec Frame::localCoordinatesOf(const Vec &src) const {
 /*! Returns the referenceFrame() coordinates of a point \p src defined in the
  Frame coordinate system (converts from Frame to referenceFrame()).
 
- localCoordinatesOf() performs the inverse convertion. See also
+ localCoordinatesOf() performs the inverse conversion. See also
  localInverseTransformOf(). */
 CGAL_INLINE_FUNCTION
 Vec Frame::localInverseCoordinatesOf(const Vec &src) const {

GraphicsView/include/CGAL/Qt/keyFrameInterpolator.h

@@ -290,7 +290,7 @@ private Q_SLOTS:
   }
 
 private:
-  // Copy constructor and opertor= are declared private and undefined
+  // Copy constructor and operator= are declared private and undefined
   // Prevents everyone from trying to use them
   // KeyFrameInterpolator(const KeyFrameInterpolator& kfi);
   // KeyFrameInterpolator& operator=(const KeyFrameInterpolator& kfi);

GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h

@@ -355,7 +355,7 @@ void KeyFrameInterpolator::updateCurrentKeyFrameForTime(qreal time) {
 
   // TODO: Special case for loops when closed path is implemented !!
   if (!currentFrameValid_)
-    // Recompute everything from scrach
+    // Recompute everything from scratch
     currentFrame_[1]->toFront();
 
   while (currentFrame_[1]->peekNext()->time() > time) {

GraphicsView/include/CGAL/Qt/manipulatedCameraFrame.h

@@ -174,7 +174,7 @@ public:
 
   Default value is (0,1,0), but it is updated by the Camera when this object is
   set as its Camera::frame(). Camera::setOrientation() and
-  Camera::setUpVector()) direclty modify this value and should be used instead.
+  Camera::setUpVector()) directly modify this value and should be used instead.
 */
   Vec sceneUpVector() const { return sceneUpVector_; }
 

GraphicsView/include/CGAL/Qt/manipulatedFrame.h

@@ -308,7 +308,7 @@ protected:
                                     const Camera *const camera);
 
   MouseAction action_;
-  Constraint *previousConstraint_; // When manipulation is without Contraint.
+  Constraint *previousConstraint_; // When manipulation is without Constraint.
 
   virtual void startAction(
       int ma,

GraphicsView/include/CGAL/Qt/mouseGrabber.h

@@ -269,7 +269,7 @@ protected:
   //@}
 
 private:
-  // Copy constructor and opertor= are declared private and undefined
+  // Copy constructor and operator= are declared private and undefined
   // Prevents everyone from trying to use them
   MouseGrabber(const MouseGrabber &);
   MouseGrabber &operator=(const MouseGrabber &);

GraphicsView/include/CGAL/Qt/qglviewer.h

@@ -385,7 +385,7 @@ public:
    * of the world and the origin of the scene. It is relevant when the whole scene is translated
    * of a big number, because there is a useless loss of precision when drawing.
    *
-   * The offset must be added to the drawn coordinates, and substracted from the computation
+   * The offset must be added to the drawn coordinates, and subtracted from the computation
    * \attention  the result of pointUnderPixel is the real item translated by the offset.
    *
    */

GraphicsView/include/CGAL/Qt/qglviewer_impl.h

@@ -3370,7 +3370,7 @@ void CGAL::QGLViewer::copyBufferToTexture(GLint , GLenum ) {
 Use glBindTexture() to use this texture. Note that this is already done by
 copyBufferToTexture().
 
-Returns \c 0 is copyBufferToTexture() was never called or if the texure was
+Returns \c 0 is copyBufferToTexture() was never called or if the texture was
 deleted using glDeleteTextures() since then. */
 CGAL_INLINE_FUNCTION
 GLuint CGAL::QGLViewer::bufferTextureId() const {

GraphicsView/include/CGAL/Qt/quaternion.h

@@ -36,7 +36,7 @@ namespace qglviewer {
         You can apply the Quaternion \c q rotation to the OpenGL matrices using:
         \code
         glMultMatrixd(q.matrix());
-        // equvalent to glRotate(q.angle()*180.0/M_PI, q.axis().x, q.axis().y,
+        // equivalent to glRotate(q.angle()*180.0/M_PI, q.axis().x, q.axis().y,
    q.axis().z); \endcode
 
         Quaternion is part of the \c qglviewer namespace, specify \c

GraphicsView/include/CGAL/Qt/vec_impl.h

@@ -59,7 +59,7 @@ void Vec::projectOnPlane(const Vec &normal) {
 
 /*! Returns a Vec orthogonal to the Vec. Its norm() depends on the Vec, but is
  zero only for a null Vec. Note that the function that associates an
- orthogonalVec() to a Vec is not continous. */
+ orthogonalVec() to a Vec is not continuous. */
 CGAL_INLINE_FUNCTION
 Vec Vec::orthogonalVec() const {
   // Find smallest component. Keep equal case for null values.

HalfedgeDS/include/CGAL/HalfedgeDS_decorator.h

@@ -427,7 +427,7 @@ public:
         insert_tip( inew->opposite(), hnew);
         insert_tip( jnew->opposite(), inew);
         insert_tip( hnew->opposite(), jnew);
-        // Make the new incidences with the old stucture.
+        // Make the new incidences with the old structure.
         CGAL_assertion_code( std::size_t termination_count = 0;)
         if ( h->next() != i) {
             Halfedge_handle g = h->next();

HalfedgeDS/include/CGAL/HalfedgeDS_iterator_adaptor.h

@@ -33,7 +33,7 @@ namespace CGAL {
 
 //  Instead, we rely now on a static local variable. Static variables are
 //  first of all zero-initialized (Section 3.6.2), which guarantees that
-//  pointers and such are set to zero even if the construtor does not
+//  pointers and such are set to zero even if the constructor does not
 //  initialize them (Section 8.5). With static variables, the order of
 //  initialization could be critical, if the initialization of one
 //  requires another one to be initialized already (I have not seen such a
@@ -48,7 +48,7 @@ namespace CGAL {
 //  for weird static initialization situations. Usually the std::vector
 //  class uses a plain C-pointer as iterator, which would be a POD and
 //  thus efficient. However, the std::list iterators might not be POD's if
-//  they define their own copy contructor. This is the case for
+//  they define their own copy constructor. This is the case for
 //  std::list::iterator of the current SGI STL, but not for the
 //  std::list::const_iterator, which is a funny side-effect of having
 //  only a single class for both and a constructor that allows iterator to

HalfedgeDS/include/CGAL/HalfedgeDS_vector.h

@@ -547,7 +547,7 @@ public:
         -- --rr;
         Hiterator rrhv = hvector.end();
         -- --rrhv;
-        // The comments proove the invariant of the partitioning step.
+        // The comments prove the invariant of the partitioning step.
         // Note that + 1 or - 1 denotes plus one edge or minus one edge,
         // so they mean actually + 2 and - 2.
                               // Pivot is in *ll
@@ -617,7 +617,7 @@ public:
         CGAL_assertion( llhv >= rrhv);
                               // rr + 1 >= ll >= rr
                               // Elements in [rr+1..end) >= pivot
-                              // Elemente in [begin..ll) <  pivot
+                              // Elements in [begin..ll) <  pivot
                               // Pivot is in a[ll]
         if ( ll == rr) {
             // Check for the possibly missed swap.

Homogeneous_kernel/include/CGAL/Homogeneous/function_objects.h

@@ -30,7 +30,7 @@ namespace HomogeneousKernelFunctors {
 
   using namespace CommonKernelFunctors;
 
-  // For lazyness...
+  // For laziness...
   using CartesianKernelFunctors::Are_parallel_2;
   using CartesianKernelFunctors::Are_parallel_3;
   using CartesianKernelFunctors::Compute_squared_area_3;

Hyperbolic_triangulation_2/include/CGAL/Hyperbolic_triangulation_2/internal/Hyperbolic_Delaunay_triangulation_traits_2_functions.h

@@ -46,7 +46,7 @@ public:
 
     // TODO MT improve
 
-    // The cirle belongs to the pencil with limit points p and q
+    // The circle belongs to the pencil with limit points p and q
     // p, q are zero-circles
     // (x, y, xˆ2 + yˆ2 - rˆ2) = alpha*(xp, yp, xpˆ2 + ypˆ2) + (1-alpha)*(xq, yq, xqˆ2 + yqˆ2)
     // xˆ2 + yˆ2 - rˆ2 = 1 (= radius of the Poincare disc)

Inscribed_areas/doc/Inscribed_areas/Concepts/LargestEmptyIsoRectangleTraits_2.h

@@ -76,7 +76,7 @@ typedef unspecified_type Less_y_2;
 /// @}
 
 /// \name Creation
-/// Only a default constructor, copy constructor and an assignement
+/// Only a default constructor, copy constructor and an assignment
 /// operator are required. Note that further constructors can be
 /// provided.
 /// @{

Inscribed_areas/doc/Inscribed_areas/Inscribed_areas.txt

@@ -36,7 +36,7 @@ return to the departure airfield. To score simply based on the total
 distance flown is not a good measure, since circling in thermals
 allows to increase it easily.
 
-\section Inscribed_areasLargest Largest Empty Rectange
+\section Inscribed_areasLargest Largest Empty Rectangle
 
 We further provide an algorithm for computing the maximal area
 inscribed axis parallel rectangle for a point set.

Inscribed_areas/include/CGAL/Largest_empty_iso_rectangle_2.h

@@ -265,8 +265,8 @@ public:
     std::set<Point_data *,Less_yx> *right_tent;
     std::set<Point_data *,Less_yx> *left_tent;
 
-    /* detemine whether the point is a bounding box corner
+    /* determine whether the point is a bounding box corner
-       (thus not implicitely inserted as a point, or not.
+       (thus not implicitly inserted as a point, or not).
     */
 
     Point_type type;
@@ -893,7 +893,7 @@ Largest_empty_iso_rectangle_2<T>::phase_1_on_x()
   }
 
   // traverse over all possibilities for finding a larger empty rectangle
-  // rectangles here touch the top and the buttom of the bounding box
+  // rectangles here touch the top and the bottom of the bounding box
   while(iter != last_iter) {
     // filter false points
     if((*iter)->type != TOP_RIGHT && (*iter)->type != TOP_LEFT) {

Inscribed_areas/package_info/Inscribed_areas/copyright

@@ -1,4 +1,4 @@
-Largest Emtpy Rectangle 2:
+Largest Empty Rectangle 2:
   Tel-Aviv University (Israel).
 Extremal Polygon 2:
-  ETH Zurich (Switzerland).
+  ETH Zurich (Switzerland).

Inscribed_areas/test/Inscribed_areas/largest_empty_iso_rectangle_2_test.cpp

@@ -202,7 +202,7 @@ int test(std::ifstream& is_ptr, const std::string& expected)
          empty_rectangle1.get_left_bottom_right_top();
   output << "test left_bottom_right_top is " << q.first << ",  " << q.second << ",  " << q.third << ",  " << q.fourth << std::endl;
 
-  // comapre output with expected
+  // compare output with expected
   std::string outputstring = output.str();
 
   std::cout << outputstring << std::endl;

Installation/CHANGES.md

@@ -382,7 +382,7 @@ can be used to find out which CGAL data structures can be used given a specific
 
 ### [Surface Mesh Topology](https://doc.cgal.org/5.3/Manual/packages.html#PkgSurfaceMeshTopologySummary)
 -   Added the function [`CGAL::Surface_mesh_topology::Curves_on_surface_topology::is_homotopic_to_simple_cycle()`](https://doc.cgal.org/5.3/Surface_mesh_topology/classCGAL_1_1Surface__mesh__topology_1_1Curves__on__surface__topology.html#a8d7c4cba2cf2cff542f5cd93117233db),
-    which can be used to determine whehter a closed path on a surface mesh can be continously
+    which can be used to determine whether a closed path on a surface mesh can be continuously
     transformed to a cycle without self intersection.
 
 ### [Surface Mesh Simplification](https://doc.cgal.org/5.3/Manual/packages.html#PkgSurfaceMeshSimplification)
@@ -749,7 +749,7 @@ Release date: September 2020
     the intersection of two constraint segments in a 'T'-like junction is an existing point
     and as such does not require any new construction). The former tag, `CGAL::No_constraint_intersection_tag`,
     does not allow any intersection, except for the configuration of two constraints having a single
-    common endpoints, for convience.
+    common endpoints, for convenience.
 -   Added the function [`CGAL::split_subconstraint_graph_into_constraints()`](https://doc.cgal.org/5.1/Triangulation_2/classCGAL_1_1Constrained__triangulation__plus__2.html#adea77f5db5cd4dfae302e4502f1caa85)
     to [`Constrained_triangulation_plus_2`](https://doc.cgal.org/5.1/Triangulation_2/classCGAL_1_1Constrained__triangulation__plus__2.html) to initialize the constraints
     from a soup of disconnected segments that should first be split into polylines.
@@ -894,7 +894,7 @@ Release date: November 2019
  -   **Breaking change**: The [graph traits](https://doc.cgal.org/5.0/BGL/group__PkgBGLTraits.html) enabling CGAL's 2D triangulations to be used as a parameter
      for any graph-based algorithm of CGAL (or boost) have been improved to fully model the [`FaceGraph`](https://doc.cgal.org/5.0/BGL/classFaceGraph.html) concept.
      In addition, only the finite simplicies (those not incident to the infinite vertex) of the 2D triangulations
-     are now visibile through this scope. The complete triangulation can still be accessed as a graph,
+     are now visible through this scope. The complete triangulation can still be accessed as a graph,
      by using the graph traits of the underlying triangulation data structure (usually,
      [`CGAL::Triangulation_data_structure_2`](https://doc.cgal.org/5.0/TDS_2/classCGAL_1_1Triangulation__data__structure__2.html)).
  -   **Breaking change**: The `insert()` function
@@ -2402,7 +2402,7 @@ Release date: October 2015
         method, a variant of the method described in "2D Minkowski Sum
         of Polygons Using Reduced Convolution" by Behar and Lien. The
         new method supports polygons with holes and in many cases out
-        pergorms the implementation of the exsisting (full) convolution
+        performs the implementation of the existing (full) convolution
         method.
     -   Introduced two new classes that decompose polygons into convex
         pieces (models of the `PolygonConvexDecomposition_2` concept)
@@ -2422,7 +2422,7 @@ Release date: October 2015
 ### 2D Conforming Triangulations and Meshes
 
 -   Add an optimization method `CGAL::lloyd_optimize_mesh_2()` that
-    implements the Lloyd (or Centroidal Voronoi Tesselation)
+    implements the Lloyd (or Centroidal Voronoi Tessellation)
     optimization algorithm in a Constrained Delaunay Triangulation. For
     optimization, the triangulation data structure on which the mesher
     relies needs its `VertexBase` template parameter to be a model of
@@ -3163,7 +3163,7 @@ Release date: March 2013
 -   Introduction of `CGAL::cpp11::result_of` as an alias to the tr1
     implementation from boost of the `result_of` mechanism. When all
     compilers supported by CGAL will have a Standard compliant
-    implemention of the C++11 `decltype` feature, it will become an
+    implementation of the C++11 `decltype` feature, it will become an
     alias to `std::result_of`.
 
 ### Surface Reconstruction from Point Sets
@@ -4216,7 +4216,7 @@ fixes for this release.
     compose, compose\_shared, swap\_\*, negate, along with the helper
     functions set\_arity\_\* and Arity class and Arity\_tag typedefs)
     which were provided by `<CGAL/functional.h>` have been removed.
-    Please use the better boost::bind mecanism instead. The concept
+    Please use the better boost::bind mechanism instead. The concept
     AdaptableFunctor has been changed accordingly such that only a
     nested result\_type is required.
 -   The accessory classes Twotuple, Threetuple, Fourtuple and Sixtuple
@@ -4340,10 +4340,10 @@ This is a bug fix release.
 -   Fixed bug in Arrangement\_2 in walk along a line point location for
     unbounded curves.
 -   Fixed bug in aggregated insertion to Arrangement\_2.
--   Fixed bug in Arrangment\_2 class when inserting an unbounded curve
+-   Fixed bug in Arrangement\_2 class when inserting an unbounded curve
     from an existing vertex.
 -   Fixed bug when dealing with a degenerate conic arc in
-    Arr\_conic\_traits\_2 of the Arrangment package, meaning a line
+    Arr\_conic\_traits\_2 of the Arrangement package, meaning a line
     segment which is part of a degenerate parabola/hyperbola.
 -   Fixed bug in the Bezier traits-class: properly handle line segments.
     properly handle comparison near a vertical tangency.
@@ -4680,7 +4680,7 @@ static runtime (/ML).
     discrete conformal map, discrete authalic parameterization, Floater
     mean value coordinates or Tutte barycentric mapping.
 -   Principal Component Analysis (new package)
-    This package provides functions to compute global informations on
+    This package provides functions to compute global information on
     the shape of a set of 2D or 3D objects such as points. It provides
     the computation of axis-aligned bounding boxes, centroids of point
     sets, barycenters of weighted point sets, as well as linear least
@@ -5046,7 +5046,7 @@ The following functionality has been added or changed:
         implements the data structure for 2D triangulation class, now
         makes use of CGAL::Compact\_container (see Support Library
         section below).
-    -   The triangulation classes use a Rebind mecanism to provide the
+    -   The triangulation classes use a Rebind mechanism to provide the
         full flexibility on Vertex and Face base classes. This means
         that it is possible for the user to derive its own Face of
         Vertex base class, adding a functionality that makes use of
@@ -5073,7 +5073,7 @@ The following functionality has been added or changed:
     -   Triangulation\_3 now gives non-const access to the data
         structure.
 -   Interval Skip List (new package)
-    An interval skip list is a data strucure for finding all intervals
+    An interval skip list is a data structure for finding all intervals
     that contain a point, and for stabbing queries, that is for
     answering the question whether a given point is contained in an
     interval or not.
@@ -5394,11 +5394,11 @@ The following functionality has been added or changed:
         is transparent for the user of triangulation classes.
     -   Constrained and Delaunay constrained triangulations are now able
         to handle intersecting input constraints. The behavior of
-        constrained triangulations with repect to intersection of input
+        constrained triangulations with respect to intersection of input
         constraints can be customized using an intersection tag.
     -   A new class Constrained\_triangulation\_plus offers a
         constrained hierarchy on top of a constrained triangulations.
-        This additionnal data structure describes the subdivision of the
+        This additional data structure describes the subdivision of the
         original constraints into edges of the triangulations.
 
 
@@ -5464,7 +5464,7 @@ The following functionality is no longer supported:
 Bugs in the following packages have been fixed: 3D Convex hull, 2D
 Polygon partition, simple polygon generator
 
-Also attempts have been made to assure compatability with the upcoming
+Also attempts have been made to assure compatibility with the upcoming
 LEDA release that introduces the leda namespace.
 
 ### Known problems
@@ -5636,7 +5636,7 @@ kernels themselves can be used as traits classes in many instances.
         conform to the new CGAL kernels. CGAL kernel classes can be used
         as traits classes for all 2D triangulations except for regular
         triangulations.
-    -   Additionnal functionality:
+    -   Additional functionality:
         -   dual method for regular triangulations (to build a power
             diagram)
         -   unified names and signatures for various "find\_conflicts()"
@@ -5743,7 +5743,7 @@ The following functionality has been added:
         spaces as well as planar triangulations.
     -   The triangulation hierarchy which allows fast location query is
         now available.
--   Inifinite objects can now be included in planar maps.
+-   Infinite objects can now be included in planar maps.
 -   Removal as well as insertions of vertices for 3D Delaunay
     triangulations is now possible.
 -   A generator for \`\`random'' simple polygons is now available.

Installation/cmake/modules/CGALConfig_binary.cmake.in

@@ -1,6 +1,6 @@
 #
 # This files contains definitions needed to use CGAL in a program.
-# DO NOT EDIT THIS. The definitons have been generated by CMake at configuration time.
+# DO NOT EDIT THIS. The definitions have been generated by CMake at configuration time.
 # This file is loaded by cmake via the command "find_package(CGAL)"
 #
 # This file correspond to a possibly out-of-sources CGAL configuration, thus the actual location
@@ -139,7 +139,7 @@ macro(check_cgal_component COMPONENT)
             set( CGAL_Core_FOUND TRUE )
           endif()
         else("${CGAL_LIB}" STREQUAL "CGAL_Qt5")
-          # Librairies that have no dependencies
+          # Libraries that have no dependencies
           set( ${CGAL_LIB}_FOUND TRUE )
         endif("${CGAL_LIB}" STREQUAL "CGAL_Qt5")
       else(TARGET CGAL::${CGAL_LIB})

Installation/cmake/modules/CGALConfig_install.cmake.in

@@ -1,6 +1,6 @@
 #
 # This files contains definitions needed to use CGAL in a program.
-# DO NOT EDIT THIS. The definitons have been generated by CMake at configuration time.
+# DO NOT EDIT THIS. The definitions have been generated by CMake at configuration time.
 # This file is loaded by cmake via the command "find_package(CGAL)"
 #
 # This file correspond to a CGAL installation with "make install", thus the actual location
@@ -123,7 +123,7 @@ macro(check_cgal_component COMPONENT)
             set( CGAL_Core_FOUND TRUE )
           endif()
         else("${CGAL_LIB}" STREQUAL "CGAL_Qt5")
-          # Librairies that have no dependencies
+          # Libraries that have no dependencies
           set( ${CGAL_LIB}_FOUND TRUE )
         endif("${CGAL_LIB}" STREQUAL "CGAL_Qt5")
       else(TARGET CGAL::${CGAL_LIB})

Installation/cmake/modules/CGAL_CheckCXXFileRuns.cmake

@@ -52,7 +52,7 @@ MACRO(CHECK_CXX_FILE_RUNS FILE VAR TEST)
     SET(${VAR} 1 CACHE INTERNAL "Test ${TEST}" FORCE )
     MESSAGE(STATUS "Performing Test ${TEST} - Success")
     FILE(APPEND ${CMAKE_BINARY_DIR}${CMAKE_FILES_DIRECTORY}/CMakeOutput.log
-      "Performing C++ SOURCE FILE Test ${TEST} succeded with the following output:\n"
+      "Performing C++ SOURCE FILE Test ${TEST} succeeded with the following output:\n"
       "${OUTPUT}\n"
       "Source file was:\n${SOURCE}\n")
   else()

Installation/cmake/modules/CGAL_GeneratorSpecificSettings.cmake

@@ -1,7 +1,7 @@
 if ( NOT CGAL_GENERATOR_SPECIFIC_SETTINGS_FILE_INCLUDED )
   set( CGAL_GENERATOR_SPECIFIC_SETTINGS_FILE_INCLUDED 1 )
 
-  message( STATUS "Targetting ${CMAKE_GENERATOR}")
+  message( STATUS "Targeting ${CMAKE_GENERATOR}")
 
   if ( MSVC )
     message( STATUS "Target build environment supports auto-linking" )

Installation/cmake/modules/CGAL_Macros.cmake

@@ -384,8 +384,8 @@ if( NOT CGAL_MACROS_FILE_INCLUDED )
   # Composes a tagged list of libraries: a list with interpersed keywords or tags
   # indicating that all following libraries, up to the next tag, are to be linked only for the
   # corresponding build type. The 'general' tag indicates libraries that corresponds to all build types.
-  # 'optimized' corresponds to release builds and 'debug' to debug builds. Tags are case sensitve and
+  # 'optimized' corresponds to release builds and 'debug' to debug builds. Tags are case sensitive and
-  # the inital range of libraries listed before any tag is implicitely 'general'
+  # the initial range of libraries listed before any tag is implicitly 'general'
   #
   # This macro takes 3 lists of general, optimized and debug libraries, resp, and populates the list
   # given in the fourth argument.
@@ -425,9 +425,9 @@ if( NOT CGAL_MACROS_FILE_INCLUDED )
   # where the general, optimized and debug libraries are collected.
   #
   # The first parameter must be a string containing a semi-colon separated list of elements.
-  # It cannot be ommitted, but it can be an empty string ""
+  # It cannot be omitted, but it can be an empty string ""
   #
-  # TThe next three arguments must be the names of the variables containing the result, and they
+  # The next three arguments must be the names of the variables containing the result, and they
   # will be APPENDED (retaining any previous contents)
   #
   # If there is a last parameter whose value is "PERSISTENT" then the result variables are internal in the cache,
@@ -487,11 +487,11 @@ if( NOT CGAL_MACROS_FILE_INCLUDED )
   #
   #   tag_libraries( LIBS_1 SOME_UNDEFINED_VARIABLE_OR_EMPTY_LIST LIBS_R )
   #
-  # LIBS_R -> libA.so;libB.so  (implicitely 'general' since there is no tag)
+  # LIBS_R -> libA.so;libB.so  (implicitly 'general' since there is no tag)
   #
   #   tag_libraries( SOME_UNDEFINED_VARIABLE_OR_EMPTY_LIST LIBS_2 LIBS_R )
   #
-  # LIBS_R -> libC.so  (implicitely 'general' since there is no tag)
+  # LIBS_R -> libC.so  (implicitly 'general' since there is no tag)
   #
   macro( tag_libraries libs_general_or_optimized libs_general_or_debug libs )
 
@@ -513,7 +513,7 @@ if( NOT CGAL_MACROS_FILE_INCLUDED )
   # Appends the list of tagged libraries contained in the variable 'libA' to the list
   # of tagged libraries contained in the variable 'libR', properly redistributing each tagged subsequence.
   #
-  # The first argument is the name of the variable recieving the list. It will be APPENDED
+  # The first argument is the name of the variable receiving the list. It will be APPENDED
   # (retaining any previous contents).
   # The second parameter is a single string value containing the tagged
   # lists of libraries to append (as a semi-colon separated list). It can be empty, in which case noting is added.

Installation/cmake/modules/CGAL_SetupBoost.cmake

@@ -2,7 +2,7 @@
 # CGAL_SetupBoost
 # ---------------
 #
-# The module searchs for the `Boost` headers and library, by calling
+# The module searches for the `Boost` headers and library, by calling
 #
 # .. code-block:: cmake
 #

Installation/cmake/modules/CGAL_SetupCGALDependencies.cmake

@@ -2,7 +2,7 @@
 # CGAL_SetupCGALDependencies
 # --------------------------
 #
-# The module searchs for the dependencies of the CGAL library:
+# The module searches for the dependencies of the CGAL library:
 #   - the `GMP/MPFR` couple,
 #   - `LEDA` (optional)
 #   - the `Boost` libraries (mostly the header-only libraries)

Installation/cmake/modules/CGAL_SetupCGAL_CoreDependencies.cmake

@@ -2,7 +2,7 @@
 # CGAL_SetupCGAL_CoreDependencies
 # -------------------------------
 #
-# The module searchs for the dependencies of the `CGAL_Core` library:
+# The module searches for the dependencies of the `CGAL_Core` library:
 #   - the `GMP/MPFR` couple,
 #
 # and defines the variable :variable:`CGAL_Core_FOUND` and the function

Installation/cmake/modules/CGAL_SetupCGAL_ImageIODependencies.cmake

@@ -2,7 +2,7 @@
 # CGAL_SetupCGAL_ImageIODependencies
 # ----------------------------------
 #
-# The module searchs for the dependencies of the `CGAL_ImageIO` library:
+# The module searches for the dependencies of the `CGAL_ImageIO` library:
 #   - the `Zlib` library (optional)
 #
 # by calling

Installation/cmake/modules/CGAL_SetupCGAL_Qt5Dependencies.cmake

@@ -2,7 +2,7 @@
 # CGAL_SetupCGAL_Qt5Dependencies
 # ------------------------------
 #
-# The module searchs for the dependencies of the `CGAL_Qt5` library:
+# The module searches for the dependencies of the `CGAL_Qt5` library:
 #   - the `Qt5` libraries
 #
 # by calling

Installation/cmake/modules/CGAL_SetupFlags.cmake

@@ -6,7 +6,7 @@ if ( NOT CGAL_SETUP_FLAGS_INCLUDED )
 # override the flags used to build the libraries
 #
 set( CGAL_DONT_OVERRIDE_CMAKE_FLAGS_DESCRIPTION
-     "Set this to TRUE if you want to define or modify any of CMAKE_*_FLAGS. When this is FALSE, all the CMAKE_*_FLAGS flags are overriden with the values used when building the CGAL libs. For CGAL_*_flags (used for ADDITIONAL flags) , there is no need to set this to TRUE."
+     "Set this to TRUE if you want to define or modify any of CMAKE_*_FLAGS. When this is FALSE, all the CMAKE_*_FLAGS flags are overridden with the values used when building the CGAL libs. For CGAL_*_flags (used for ADDITIONAL flags) , there is no need to set this to TRUE."
    )
 
 option( CGAL_DONT_OVERRIDE_CMAKE_FLAGS

Installation/cmake/modules/CGAL_SetupGMP.cmake

@@ -2,7 +2,7 @@
 # CGAL_SetupGMP
 # -------------
 #
-# The module searchs for the `GMP` and `MPFR` headers and libraries,
+# The module searches for the `GMP` and `MPFR` headers and libraries,
 # by calling
 #
 # .. code-block:: cmake

Installation/cmake/modules/CGAL_SetupLEDA.cmake

@@ -2,7 +2,7 @@
 # CGAL_SetupLEDA
 # --------------
 #
-# The module searchs for the `LEDA` headers and library, by calling
+# The module searches for the `LEDA` headers and library, by calling
 #
 # .. code-block:: cmake
 #

Installation/cmake/modules/FindSuiteSparse.cmake

@@ -1,8 +1,8 @@
 ## CMake file to locate SuiteSparse and its useful composite projects
-## The first developpement of this file was made fro Windows users who
+## The first development of this file was done by a Windows users who
-## use: 
+## used: 
 ##  https://github.com/jlblancoc/suitesparse-metis-for-windows
-## Anyway, it chould be work also on linux (tested on fedora 17 when you installed suitesparse from yum)
+## Anyway, it could work also on linux (tested on fedora 17 when you installed suitesparse from yum)
 ##
 ##
 ## Inputs variables this file can process (variable must be given before find_package(SUITESPARES ...) command) :
@@ -11,7 +11,7 @@
 ##   Note: SuiteSparse lib usually requires linking to a blas and lapack library.
 ##
 ##
-## Help variables this file handle internaly :
+## Help variables this file handle internally :
 ##   * SuiteSparse_SEARCH_LIB_POSTFIX		Is set in cache (as advanced) to look into the right lib/lib64 dir for libraries (user can change)
 ##
 ##
@@ -22,17 +22,17 @@
 ##   If SuiteSparse_USE_LAPACK_BLAS is set to ON : 
 ##   	* SuiteSparse_LAPACK_BLAS_LIBRARIES 	Which contain the libblas and liblapack libraries
 ##   	On windows:
-##   		* SuiteSparse_LAPACK_BLAS_DLL		Which contain all requiered binaries for use libblas and liblapack
+##   		* SuiteSparse_LAPACK_BLAS_DLL		Which contain all required binaries for use libblas and liblapack
 ##
 ##
 ## Detailed variables this file provide :
 ##   * SuiteSparse_<UPPPER_CASE_COMPONENT>_FOUND		True if the given component to look for is found (INCLUDE DIR and LIBRARY)
-##   * SuiteSparse_<UPPPER_CASE_COMPONENT>_INCLUDE_DIR	The path directory where we can found all compenent header files
+##   * SuiteSparse_<UPPPER_CASE_COMPONENT>_INCLUDE_DIR	The path directory where we can be found all component header files
 ##   * SuiteSparse_<UPPPER_CASE_COMPONENT>_LIBRARY		The file path to the component library
 ##   Note: If a component is not found, a SuiteSparse_<UPPPER_CASE_COMPONENT>_DIR cache variable is set to allow user set the search directory.
 ##
 ##
-## Possible componnents to find are (maybe some others can be available):
+## Possible components to find are (maybe some others can be available):
 ##   * AMD
 ##   * CAMD
 ##   * COLAMD
@@ -125,13 +125,13 @@ endif()
 ## we can use a generic way to find all of these with simple cmake lines of code
 macro(SuiteSparse_FIND_COMPONENTS )
 
-	## On windows : we absolutly need SuiteSparse_config.h every time for all projects
+	## On windows : we absolutely need SuiteSparse_config.h every time for all projects
 	if(WIN32)
 		list(FIND SuiteSparse_FIND_COMPONENTS "suitesparseconfig" SS_config_index)
 		if(${SS_config_index} MATCHES "-1")
 			list(APPEND SuiteSparse_FIND_COMPONENTS suitesparseconfig)
 			if(SuiteSparse_VERBOSE)
-				message(STATUS "   On windows, we absolutly need SuiteSparse_config.h every time for all projects : add suitesparseconfig component to look for")
+				message(STATUS "   On windows, we absolutely need SuiteSparse_config.h every time for all projects : add suitesparseconfig component to look for")
 			endif()
 		endif()
 	endif()
@@ -292,7 +292,7 @@ macro(SuiteSparse_FIND_COMPONENTS )
 		endif()
 		if(NOT ${componentToCheck})
 			set(SuiteSparse_FOUND OFF)
-			break() ## one component not found is enought to failed
+			break() ## one component not found is enough to failed
 		endif()
 	endforeach()
 endmacro()

Installation/cmake/modules/Help/cmake.py

@@ -270,7 +270,7 @@ class CMakeXRefRole(XRefRole):
     # We cannot insert index nodes using the result_nodes method
     # because CMakeXRefRole is processed before substitution_reference
     # nodes are evaluated so target nodes (with 'ids' fields) would be
-    # duplicated in each evaluted substitution replacement.  The
+    # duplicated in each evaluated substitution replacement.  The
     # docutils substitution transform does not allow this.  Instead we
     # use our own CMakeXRefTransform below to add index entries after
     # substitutions are completed.

Installation/cmake/modules/Help/index.rst

@@ -3,8 +3,8 @@
    You can adapt this file completely to your liking, but it should at least
    contain the root `toctree` directive.
 
-Welcome to CGAL CMake Modules's documentation!
+Welcome to CGAL CMake Modules' documentation!
-==============================================
+=============================================
 
 Contents:
 

Installation/cmake/modules/config/testfiles/CGAL_CFG_MATCHING_BUG_5.cpp

@@ -16,7 +16,7 @@
 
 //| This flag is set, if a compiler cannot distinguish the signature
 //| of overloaded function templates, which have one template parameter
-//| to be passed explicitely when being called.
+//| to be passed explicitly when being called.
 //|
 //| This bug appears for example on g++ 3.3 and 3.4 (but not on more recent
 //| g++ version). This bug appears also on Sun CC 5.90.

Installation/include/CGAL/Installation/internal/disable_deprecation_warnings_and_errors.h

@@ -8,8 +8,8 @@
 //
 // Author: Mael Rouxel-Labbé
 
-// Some tests are explicitely used to check the sanity of deprecated code and should not
+// Some tests are explicitly used to check the sanity of deprecated code and should not
-// give warnings/errors on plateforms that defined CGAL_NO_DEPRECATED_CODE CGAL-wide
+// give warnings/errors on platforms that defined CGAL_NO_DEPRECATED_CODE CGAL-wide
 // (or did not disable deprecation warnings).
 
 #if !defined(CGAL_NO_DEPRECATION_WARNINGS)

Installation/include/CGAL/auto_link/auto_link.h

@@ -93,7 +93,7 @@ CGAL_VERSION:        Defined in <CGAL/version.h>
 #  endif
 #elif defined(_MSC_VER) && !defined(__MWERKS__) && !defined(__EDG_VERSION__)
 //
-// C language compatability (no, honestly)
+// C language compatibility (no, honestly)
 //
 #  define BOOST_MSVC _MSC_VER
 #  define BOOST_STRINGIZE(X) BOOST_DO_STRINGIZE(X)

Installation/include/CGAL/config.h

@@ -549,7 +549,7 @@ namespace cpp11{
 namespace CGAL {
 
 // Returns filename prefixed by the directory of CGAL containing data.
-// This directory is either defined in the environement variable CGAL_DATA_DIR,
+// This directory is either defined in the environment variable CGAL_DATA_DIR,
 // otherwise it is taken from the constant CGAL_DATA_DIR (defined in CMake),
 // otherwise it is empty (and thus returns filename unmodified).
 inline std::string data_file_path(const std::string& filename)

Interpolation/TODO

@@ -110,7 +110,7 @@ background presented to get into the subject without problems.
 Thus, I like the overall structure, and most of my remarks are
 minor comments, typos and suggestions.
 
-- p. 1, maybe add that a sample point is a natural neigbor iff its
+- p. 1, maybe add that a sample point is a natural neighbor iff its
     lambda is nonzero.
 - p. 2, end of paragraph "The interpolation package": I cannot find
     natural_neighbo_coordinates_3 in the manual/reference

Interpolation/include/CGAL/constructions/constructions_for_voronoi_intersection_cartesian_2_3.h

@@ -73,7 +73,7 @@ plane_centered_circumcenterC3(const RT &ax, const RT &ay, const RT &az,
   //
   //precondition: p,q,r aren't collinear.
   //method:
-  // - tranlation of p to the origin.
+  // - translation of p to the origin.
   plane_centered_circumcenter_translateC3<RT>(ax-px, ay-py, az-pz,
                                               nx, ny, nz,
                                               qx-px, qy-py,qz-pz,

Interpolation/include/CGAL/natural_neighbor_coordinates_3.h

@@ -48,7 +48,7 @@ construct_circumcenter(const typename DT::Facet& f,
                        const typename DT::Geom_traits::Point_3& Q,
                        const typename DT::Geom_traits& gt = typename DT::Geom_traits());
 
-// ====================== Natural Neighbors Querries ==========================
+// ====================== Natural Neighbors Queries ==========================
 // === Definitions
 
 // Given a 3D point Q and a 3D Delaunay triangulation dt,
@@ -358,7 +358,7 @@ construct_circumcenter(const typename DT::Facet& f,
                                             f.first->vertex((f.second+2)&3)->point(),
                                             f.first->vertex((f.second+3)&3)->point(),
                                             Q));
-  // else the facet is not on the enveloppe of the conflict cavity associated to P
+  // else the facet is not on the envelope of the conflict cavity associated to P
   return gt.construct_circumcenter_3_object()(
              f.first->vertex((f.second+1)&3)->point(),
              f.first->vertex((f.second+2)&3)->point(),

Interpolation/include/CGAL/predicates/predicates_for_voronoi_intersection_cartesian_2_3.h

@@ -67,7 +67,7 @@ side_of_plane_centered_sphereC3(const RT &ax, const RT &ay, const RT &az,
   //  return:   sign( (c-p)(c-p) - (c-t)(c-t))
   //
   //method:
-  // - tranlation of p to the origin.
+  // - translation of p to the origin.
   // - separate computation of det and norm of the expression
 
   return side_of_plane_centered_sphere_translateC3<RT>(ax-px, ay-py, az-pz,
@@ -136,7 +136,7 @@ side_of_plane_centered_sphereC3(const RT &ax, const RT &ay, const RT &az,
   //  return:   sign( (c-p)(c-p) - (c-r)(c-r))
   //
   //method:
-  // - tranlation of p to the origin.
+  // - translation of p to the origin.
   // - separate computation of det and nom of the expression
 
   return side_of_plane_centered_sphere_translateC3<RT>(ax-px, ay-py, az-pz,

Intersections_2/test/Intersections_2/test_intersections_2.cpp

@@ -772,9 +772,9 @@ struct Test
     check_no_intersection  (Rec(p(-2, -6), p( 6, 3)), p(-2, -7));
 
     // point intersection
-    check_intersection     (Rec(p(-1,  4), p(-1, 4)), p(-1, 4), p(-1, 4)); // degenerate rectange (0d)
+    check_intersection     (Rec(p(-1,  4), p(-1, 4)), p(-1, 4), p(-1, 4)); // degenerate rectangle (0d)
-    check_intersection     (Rec(p(-2,  4), p(-2, 7)), p(-2, 6), p(-2, 6)); // degenerate rectange (1d)
+    check_intersection     (Rec(p(-2,  4), p(-2, 7)), p(-2, 6), p(-2, 6)); // degenerate rectangle (1d)
-    check_intersection     (Rec(p(-2,  4), p(-2, 7)), p(-2, 7), p(-2, 7)); // degenerate rectange (1d)
+    check_intersection     (Rec(p(-2,  4), p(-2, 7)), p(-2, 7), p(-2, 7)); // degenerate rectangle (1d)
     check_intersection     (Rec(p(-3,  0), p( 4, 2)), p(-3, 2), p(-3, 2)); // on vertex
     check_intersection     (Rec(p( 7,  8), p( 9, 9)), p( 8, 9), p( 8, 9)); // on edge
     check_intersection     (Rec(p(-2,  0), p( 6, 7)), p( 1, 1), p( 1, 1)); // within

Intersections_3/include/CGAL/Intersections_3/internal/Ray_3_Triangle_3_do_intersect.h

@@ -64,7 +64,7 @@ struct r3t3_do_intersect_endpoint_position_visitor
   void end_point_in_triangle(){ m_intersection_type = 4; }
 };
 
-//the template parameter Visitor here is used to offer the posibility to use
+//the template parameter Visitor here is used to offer the possibility to use
 //r3t3_do_intersect_endpoint_position_visitor to track whether the endpoint of
 //the ray lies inside the plane of the triangle or not. It is used for example
 //in the function that checks whether a point is inside a polyhedron; if the ray

Intersections_3/include/CGAL/Intersections_3/internal/Ray_3_Triangle_3_intersection.h

@@ -90,13 +90,13 @@ t3r3_intersection_coplanar_aux(const typename K::Point_3& a,
 
   const Point_3& p = point_on(r,0);
 
-  // A ray is not symetric, 2 cases depending on isolated side of c
+  // A ray is not symmetric, 2 cases depending on isolated side of c
   Orientation cap = negative_side ? coplanar_orientation(c,a,p)
                                   : coplanar_orientation(b,c,p);
 
   switch ( cap ) {
     case NEGATIVE:
-      // p is bellow [c,a]
+      // p is below [c,a]
       return intersection_return<typename K::Intersect_3, typename K::Triangle_3, typename K::Ray_3>();
 
     case COLLINEAR:
@@ -111,7 +111,7 @@ t3r3_intersection_coplanar_aux(const typename K::Point_3& a,
       Point_3 p_side_end_point(p);
       Point_3 q_side_end_point;
 
-      // A ray is not symetric, 2 cases depending on isolated side of c
+      // A ray is not symmetric, 2 cases depending on isolated side of c
       if ( negative_side )
       {
         if ( NEGATIVE == coplanar_orientation(b,c,p) )

Intersections_3/test/Intersections_3/test_intersections_Plane_3.cpp

@@ -440,7 +440,7 @@ int main(int, char**)
   std::cout << " |||||||| Test Simple_cartesian<double> ||||||||" << std::endl;
   Plane_3_intersection_tester< CGAL::Simple_cartesian<double> >(r).run();
 
-  // Homogenous is broken for projection and Pln-Sphere
+  // Homogeneous is broken for projection and Pln-Sphere
 //  std::cout << " |||||||| Test CGAL::Homogeneous<CGAL::MP_Float> ||||||||" << std::endl;
 //  Plane_3_intersection_tester< CGAL::Homogeneous<CGAL::MP_Float> >(r).run();
 

Interval_skip_list/doc/Interval_skip_list/Concepts/Interval.h

@@ -68,7 +68,7 @@ Equality test.
 bool operator==(const Interval& I) const;
 
 /*!
-Unequality test.
+Inequality test.
 */
 bool operator!=(const Interval& I) const;
 

Interval_support/include/CGAL/Interval_traits.h

@@ -187,7 +187,7 @@ proper_subset(Interval interval1, Interval interval2) {
 }
 
 
-// Set operations, functions returing Interval
+// Set operations, functions returning Interval
 //the enable_if is need for MSVC as it is not able to eliminate
 //the function if Interval_traits<Interval>::Intersection has no result_type
 //(like Null_functor)

Interval_support/include/CGAL/Test/_test_interval_traits.h

@@ -39,7 +39,7 @@ void test_with_empty_interval(CGAL::Tag_false) {
     CGAL_static_assertion(
             (::std::is_same< Empty, CGAL::Null_functor>::value));
 
-    // this part chages in case we allow empty intersection
+    // this part changes in case we allow empty intersection
     // which seems to be not possible for CORE::BigFloat as Interval
     try{
         try{

Jet_fitting_3/doc/Jet_fitting_3/Jet_fitting_3.txt

@@ -111,7 +111,7 @@ respective curvature line, while \f$ b_1,b_2\f$ are the directional
 derivatives of \f$ k_1,k_2\f$ along the other curvature lines.
 
 The Monge coordinate system can be computed from any \f$ d\f$-jet (\f$ d\geq
-2\f$), and so are the Monge coefficients. These informations
+2\f$), and so are the Monge coefficients. These information
 characterize the local geometry of the surface in a canonical way, and
 are the quantities returned by our algorithm.
 
@@ -277,7 +277,7 @@ vertices of a given mesh. The neighborhood of a given vertex is
 computed using rings on the triangulation. Results are twofold:
 <UL>
 <LI>a human readable text file featuring the `::CGAL::Monge_via_jet_fitting::Monge_form` and
-numerical informations on the computation: condition number and the
+numerical information on the computation: condition number and the
 PCA basis;
 <LI>another text file that records raw data (better for a visualization
 post-processing).

Jet_fitting_3/examples/Jet_fitting_3/PolyhedralSurf_operations.h

@@ -34,7 +34,7 @@ struct Facet_unit_normal {
 
 
 //----------------------------------------------------------------
-// operations on hedges, facets etc, handled using proeprty maps
+// operations on hedges, facets etc, handled using property maps
 //----------------------------------------------------------------
 
 template <class TPoly , class HEdgePropertyMap> class T_PolyhedralSurf_hedge_ops

Jet_fitting_3/examples/Jet_fitting_3/README

@@ -20,7 +20,7 @@ takes an filename.off file as input,
 it computes a fitting for each vertex
 
 it outputs the results in :
-1. filename.off.4ogl.txt  which records raw data (better for a vizualization
+1. filename.off.4ogl.txt  which records raw data (better for a visualization
    post-processing)
 2. if option -vtrue, filename.off.verb.txt contains human readable results
 
@@ -43,7 +43,7 @@ Allowed options:
 
 
 Note : if the nb of collected points is less than the required min number of 
-   points to make the approxiamtion possible (which is constrained by the deg)
+   points to make the approximation possible (which is constrained by the deg)
    then the vertex is skipped.
 
 ./Mesh_estimation

Jet_fitting_3/examples/Jet_fitting_3/Single_estimation.cpp

@@ -36,7 +36,7 @@ int main(int argc, char *argv[])
       exit(-1);
     }
 
-  //initalize the in_points container
+  //initialize the in_points container
   double x, y, z;
   std::vector<DPoint> in_points;
   while (inFile >> x) {

Jet_fitting_3/include/CGAL/Monge_via_jet_fitting.h

@@ -151,7 +151,7 @@ public:
   //translate_p0 changes the origin of the world to p0 the first point
   //  of the input data points
   //change_world2fitting (coord of a vector in world) = coord of this
-  //  vector in fitting. The matrix tranform has as lines the coord of
+  //  vector in fitting. The matrix transform has as lines the coord of
   //  the basis vectors of fitting in the world coord.
   //idem for change_fitting2monge
   Aff_transformation translate_p0, change_world2fitting,
@@ -553,7 +553,7 @@ compute_Monge_coefficients(FT* A, std::size_t dprime,
 {
   //One has the equation w=J_A(u,v) of the fitted surface S
   // in the fitting_basis
-  //Substituing (u,v,w)=change_fitting2monge^{-1}(x,y,z)
+  //Substituting (u,v,w)=change_fitting2monge^{-1}(x,y,z)
   //One has the equation f(x,y,z)=0 on this surface S in the monge
   //  basis
   //The monge form of the surface at the origin is the bivariate fct

Jet_fitting_3/test/Jet_fitting_3/blind_1pt.cpp

@@ -25,7 +25,7 @@ int main()
       std::cerr << "cannot open file for input\n";
       exit(-1);
     }
-  //initalize the in_points container
+  //initialize the in_points container
   double x, y, z;
   std::vector<DPoint> in_points;
   while (inFile >> x) {

Kernel_23/doc/Kernel_23/CGAL/Circular_kernel_intersections.h

@@ -46,7 +46,7 @@ the following function overloads are also available.
 The iterator versions of those functions can be used in conjunction
 with `Dispatch_output_iterator`.
 
-Since both the number of intersections, if any, and types of the interesection results
+Since both the number of intersections, if any, and types of the intersection results
 depend on the arguments, the function expects an output iterator on `K::Intersect_2(Type1, Type2)`
 as presented below.
 */

Kernel_23/doc/Kernel_23/CGAL/Spherical_kernel_intersections.h

@@ -57,7 +57,7 @@ the following function overloads are also available.
 The iterator versions of those functions can be used in conjunction
 with `Dispatch_output_iterator`.
 
-Since both the number of intersections, if any, and types of the interesection results
+Since both the number of intersections, if any, and types of the intersection results
 depend on the arguments, the function expects an output iterator on `Kernel::Intersect_3(Type1, Type2)`
 as presented below.
 */
@@ -83,7 +83,7 @@ type can be
   where the unsigned integer is the multiplicity of the corresponding
   intersection point between `obj1` and `obj2`,
 - `SphericalType1`, when `SphericalType1` and `SphericalType2` are equal,
-  and if the two objets `obj1` and `obj2` are equal,
+  and if the two objects `obj1` and `obj2` are equal,
 - `Line_3<SphericalKernel>` or
   `Circle_3<SphericalKernel>` when `SphericalType1` and `SphericalType2`
   are two-dimensional objects intersecting along a curve (2 planes, or 2
@@ -119,7 +119,7 @@ and depending of these types, the computed return value
   intersection point,
 - `Circle_3<SphericalKernel>` or
 - `Type1`, when `Type1`, `Type2` and
-  `Type3` are equal, and if the three objets `obj1` and `obj2`
+  `Type3` are equal, and if the three objects `obj1` and `obj2`
   and `obj3` are equal.
 */
   template < typename Type1, typename Type2, typename Type3, typename OutputIterator >