diff --git a/tutorial/bgmesh.pos b/tutorial/bgmesh.pos
index 51f02387a017b0201f915606cdbd96ee61adda46..7125b2ba2d5575f95f1f17d0fc85eabf3a9ab75e 100644
--- a/tutorial/bgmesh.pos
+++ b/tutorial/bgmesh.pos
@@ -19,7 +19,7 @@
 // 2) launch Gmsh with 'gmsh t1.geo -bgm bgmesh.pos' and mesh the 
 //    problem.
 
-View "a funny background mesh" {
+View "background mesh" {
 ST(0.077999455,0.23524011,0,0.068887619,0.23816425,0,0.069899638,0.22912552,0){0.01189957,0.011832084,0.0079913397};
 ST(0.010825671,0.099590532,0,0.017290659,0.10415759,0,0.0069230724,0.10599149,0){0.004016107,0.005360028,0.0033428238};
 ST(0.090008104,0.28998113,0,0.085714286,0.3,0,0.081687843,0.29203932,0){0.016147484,0.018964149,0.015803058};
diff --git a/tutorial/t1.geo b/tutorial/t1.geo
index 505cfade476bd6a2ae238d5a11616a791e081198..818d1276494e846858a51897104412746b15e308 100644
--- a/tutorial/t1.geo
+++ b/tutorial/t1.geo
@@ -23,10 +23,18 @@ lc = 0.007 ;
 
 Point(1) = {0,  0,  0, 9.e-1 * lc} ;
 
-// As can be seen in this definition, more complex expressions can be
-// constructed from variables. Here, the product of the variable 'lc'
-// by the constant 9.e-1 is given as the fourth argument of the list
-// defining the point.
+// The mesh size is defined as the length of the segments for lines,
+// the radii of the circumscribed circles for triangles and the radii
+// of the circumscribed spheres for tetrahedra, respectively. The
+// actual distribution of the mesh sizes is obtained by interpolation
+// of the characteristic lengths prescribed at the points. There are
+// also other possibilities to specify characteristic lengths:
+// attractors (see t7.geo) and background meshes (see bgmesh.pos).
+
+// As can be seen in the previous definition, more complex expressions
+// can be constructed from variables. Here, the product of the
+// variable 'lc' by the constant 9.e-1 is given as the fourth argument
+// of the list defining the point.
 //
 // The following general syntax rule is applied for the definition of
 // all geometrical entities:
diff --git a/tutorial/tutorial.html b/tutorial/tutorial.html
index c5ed3226f3ccdac95b6aa1e1b26afb6ba7ef63b6..e45b4aef9b7600ca859eb025987ca59d3707ab88 100644
--- a/tutorial/tutorial.html
+++ b/tutorial/tutorial.html
@@ -23,7 +23,7 @@
 <H1>README 1/10</H1>
 [<A HREF="#top">top</A>][prev][<A HREF="#file2">next</A>]
 <PRE>
-$Id: tutorial.html,v 1.14 2001-08-03 10:50:22 geuzaine Exp $
+$Id: tutorial.html,v 1.15 2001-08-03 11:06:30 geuzaine Exp $
 
 Here are the examples in the Gmsh tutorial. These examples are
 commented (both C and C++-style comments can be used in Gmsh input
@@ -158,10 +158,18 @@ lc = 0.007 ;
 </FONT></I>
 Point(1) = {0,  0,  0, 9.e-1 * lc} ;
 
-<I><FONT COLOR="#B22222">// As can be seen in this definition, more complex expressions can be
-</FONT></I><I><FONT COLOR="#B22222">// constructed from variables. Here, the product of the variable 'lc'
-</FONT></I><I><FONT COLOR="#B22222">// by the constant 9.e-1 is given as the fourth argument of the list
-</FONT></I><I><FONT COLOR="#B22222">// defining the point.
+<I><FONT COLOR="#B22222">// The mesh size is defined as the length of the segments for lines,
+</FONT></I><I><FONT COLOR="#B22222">// the radii of the circumscribed circles for triangles and the radii
+</FONT></I><I><FONT COLOR="#B22222">// of the circumscribed spheres for tetrahedra, respectively. The
+</FONT></I><I><FONT COLOR="#B22222">// actual distribution of the mesh sizes is obtained by interpolation
+</FONT></I><I><FONT COLOR="#B22222">// of the characteristic lengths prescribed at the points. There are
+</FONT></I><I><FONT COLOR="#B22222">// also other possibilities to specify characteristic lengths:
+</FONT></I><I><FONT COLOR="#B22222">// attractors (see t7.geo) and background meshes (see bgmesh.pos).
+</FONT></I>
+<I><FONT COLOR="#B22222">// As can be seen in the previous definition, more complex expressions
+</FONT></I><I><FONT COLOR="#B22222">// can be constructed from variables. Here, the product of the
+</FONT></I><I><FONT COLOR="#B22222">// variable 'lc' by the constant 9.e-1 is given as the fourth argument
+</FONT></I><I><FONT COLOR="#B22222">// of the list defining the point.
 </FONT></I><I><FONT COLOR="#B22222">//
 </FONT></I><I><FONT COLOR="#B22222">// The following general syntax rule is applied for the definition of
 </FONT></I><I><FONT COLOR="#B22222">// all geometrical entities: