diff --git a/Surface_mesh/doc/Surface_mesh/Surface_mesh.txt b/Surface_mesh/doc/Surface_mesh/Surface_mesh.txt
index 9eab20cd8b1..1847e31f6f9 100644
--- a/Surface_mesh/doc/Surface_mesh/Surface_mesh.txt
+++ b/Surface_mesh/doc/Surface_mesh/Surface_mesh.txt
@@ -51,8 +51,8 @@ main purpose is to guarantee type safety.
 They are default constructible, which yields an *invalid* element. New
 elements can be added and removed to the `Surface_mesh` through a
 set of low-level functions which do not maintain connectivity. One
-exception is `Surface_mesh::add_face()` which tries to add a new
-face to the mesh (defined by a sequence of vertices), and fails, if the
+exception is `Surface_mesh::add_face()`, which tries to add a new
+face to the mesh (defined by a sequence of vertices), and fails if the
 operation is not topologically valid.
 
 \code
@@ -64,11 +64,14 @@ Mesh::Vertex_index w = m.add_vertex(Point(1,0,0));
 m.add_face(u, v, w);
 \endcode
 
-As `Surface_mesh` is index-based `Vertex_index`, `Face_index`, 
-`Halfedge_index` and `Edge_index`
-don't have member functions to access connectivity or properties.
-The functions of the `Surface_mesh` instance they were
-created from must be used to obtain that information.
+As `Surface_mesh` is index-based
+\link Surface_mesh::Vertex_index Vertex_index\endlink,
+\link Surface_mesh::Halfedge_index Halfedge_index\endlink,
+\link Surface_mesh::Edge_index Edge_index\endlink, and
+\link Surface_mesh::Face_index Face_index\endlink
+do not have member functions to access connectivity or properties.
+The functions of the `Surface_mesh` instance from which
+they were created must be used to obtain this information.
 
 \section sectionSurfaceMeshConnectivity Connectivity 
 
@@ -327,7 +330,7 @@ to access data in temporary vectors of size `num_vertices()`
 this function must return a number larger than the largest index of 
 the elements.
 
-Iterators like the `Surface_mesh::Vertex_iterator` only enumerate
+Iterators such as `Surface_mesh::Vertex_iterator` only enumerate
 elements that are not marked as deleted. 
 
 
diff --git a/Surface_mesh/include/CGAL/Surface_mesh/Surface_mesh.h b/Surface_mesh/include/CGAL/Surface_mesh/Surface_mesh.h
index c4a561ad0e1..35d53d1089a 100644
--- a/Surface_mesh/include/CGAL/Surface_mesh/Surface_mesh.h
+++ b/Surface_mesh/include/CGAL/Surface_mesh/Surface_mesh.h
@@ -1966,7 +1966,6 @@ private: //------------------------------------------------------- private data
   /// Inserts the surface mesh in an output stream in Ascii OFF format. 
   /// Only the \em point property is inserted in the stream.
   /// \pre `operator<<(std::ostream&,const P&)` must be defined.
- 
   template <typename P>
   bool write_off(std::ostream& os, const Surface_mesh<P>& sm) {
     typedef Surface_mesh<P> Mesh;
@@ -2015,7 +2014,7 @@ private: //------------------------------------------------------- private data
 
   /// \relates Surface_mesh
   /// 
-  /// This operator calls `write_off(std::istream& , CGAL::Surface_mesh)`.
+  /// This operator calls `write_off(std::ostream& os, const CGAL::Surface_mesh& sm)`.
    template <typename P>
   std::ostream& operator<<(std::ostream& os, const Surface_mesh<P>& sm)
   {
@@ -2158,8 +2157,8 @@ private: //------------------------------------------------------- private data
 
  
   /// \relates Surface_mesh
-  /// This operator calls `read_off(std::istream& , CGAL::Surface_mesh& sm)`.
-  /// \attention Up to CGAL 4.10 this operator called `sm.clear()`.
+  /// This operator calls `read_off(std::istream& is, CGAL::Surface_mesh& sm)`.
+  /// \attention Up to %CGAL 4.10 this operator called `sm.clear()`.
   template <typename P>
   std::istream& operator>>(std::istream& is, Surface_mesh<P>& sm)
   {