diff --git a/Surface_mesher/doc_tex/Surface_mesher/main.tex b/Surface_mesher/doc_tex/Surface_mesher/main.tex
index d02d4a052f7..afac68550fe 100644
--- a/Surface_mesher/doc_tex/Surface_mesher/main.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher/main.tex
@@ -360,8 +360,8 @@ resulting mesh is shown in Figure~\ref{figure:Surface_mesher-skull}.
 The guarantees on the output mesh depend on the mesh criteria.
 Theoretical guarantees are given in \cite{cgal:bo-pgsms-05}.
 First, the meshing algorithm is proved to terminate 
-if the angular bound is
-not smaller than $30$~degrees. 
+if the lower bound on facets angles  is
+not bigger than $30$~degrees. 
 Furthermore, the output mesh 
 is guaranteed to be homeomorphic to the surface,
 and  there is a guaranteed bound 
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/make_piecewise_smooth_surface_mesh.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/make_piecewise_smooth_surface_mesh.tex
index 9d8742fd2ea..70e2c06ff1d 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/make_piecewise_smooth_surface_mesh.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/make_piecewise_smooth_surface_mesh.tex
@@ -22,13 +22,13 @@ The library provides two overloaded version
 of this function:
 
 
-
+\ccThree{1cm}{5cm}{}
 \ccGlobalFunction{template <class SurfaceMeshC2T3,
                             class Surface,
                             class FacetsCriteria,
                             class EdgesCriteria,
                             class Tag >
-void make_surface_mesh(SurfaceMeshC2T3& c2t3,
+void make_piecewise_smooth_surface_mesh(SurfaceMeshC2T3& c2t3,
                        Surface surface,
                        FacetsCriteria facets_criteria,
                        EdgesCriteria edges_criteria,
@@ -41,7 +41,7 @@ void make_surface_mesh(SurfaceMeshC2T3& c2t3,
                             class FacetsCriteria,
                             class EdgesCriteria,
                             class Tag >
-void make_surface_mesh(SurfaceMeshC2T3& c2t3,
+void make_piecewise_smooth_surface_mesh(SurfaceMeshC2T3& c2t3,
                        SurfaceMeshTraits::Surface_3  surface,
 		       SurfaceMeshTraits traits,
                        FacetsCriteria facets_criteria,
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex
index b5c5e3b102a..e177265f263 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex
@@ -27,6 +27,7 @@ approximating  a surface.
 The library provides two overloaded version 
 of this function:
 
+\ccThree{2,5cm}{4cm}{}
 
 
 \ccGlobalFunction{template <class SurfaceMeshC2T3,