diff --git a/Alpha_shapes_3/doc/Alpha_shapes_3/Alpha_shapes_3.txt b/Alpha_shapes_3/doc/Alpha_shapes_3/Alpha_shapes_3.txt
index 789a806c007..985da4dcf55 100644
--- a/Alpha_shapes_3/doc/Alpha_shapes_3/Alpha_shapes_3.txt
+++ b/Alpha_shapes_3/doc/Alpha_shapes_3/Alpha_shapes_3.txt
@@ -77,7 +77,7 @@ of the alpha complex where singular faces are removed
 
 \anchor figgenregex
 \image html gen-reg-ex.png
-<center><b>Comparison of general and regularized alpha-shape. <B>Left:</B> Some points are taken on the surface of a torus, three points being taken relatively far from the surface of the torus; <B>Middle:</B> The general alpha-shape (for a large enough alpha value) contains the singular triangle facet of the three isolated points; <B>Right:</B> The regularized version (for the same value of alpha) does not contains any singular facet.</center></b>
+<center><b>Comparison of general and regularized alpha-shape. <B>Left:</B> Some points are taken on the surface of a torus, three points being taken relatively far from the surface of the torus; <B>Middle:</B> The general alpha-shape (for a large enough alpha value) contains the singular triangle facet of the three isolated points; <B>Right:</B> The regularized version (for the same value of alpha) does not contains any singular facet.</b></center>
 
 
 The alpha shapes of a set of points 
@@ -119,7 +119,7 @@ regularized versions.
 
 \section I1_SectAlpha_Shape_3 Functionality 
 
-## Family of alpha shapes ##
+## Family of Alpha Shapes ##
 
 The class `CGAL::Alpha_shape_3<Dt,ExactAlphaComparisonTag>` represents the whole
 family of alpha shapes for a given set of points.
@@ -143,15 +143,15 @@ Finally, it provides a function to determine
 the smallest value \f$ \alpha\f$
 such that the alpha shape satisfies the following two properties 
 
-(ii) all data points are either on the boundary or in the interior 
+(i) all data points are either on the boundary or in the interior 
 of the regularized version of the alpha shape (no singular faces). 
 
-(i) The number of components is equal or less than a given number .<BR>
+(ii) The number of components is equal or less than a given number .<BR>
 
 The current implementation is static, that is after its construction
 points cannot be inserted or removed.
 
-## Alpha shape for a fixed alpha ##
+## Alpha Shape for a Fixed Alpha ##
 
 Given a value of alpha, the class `CGAL::Fixed_alpha_shape_3<Dt>` represents one 
 alpha shape for a given set of points.
@@ -162,7 +162,7 @@ a classification type.<BR>
 The current implementation of this class is dynamic, that is after its construction
 points can be inserted or removed.
 
-## Classification and iterators ##
+## Classification and Iterators ##
 
 Both classes provide member functions to classify for a (given) value
 of \f$ alpha\f$ the different faces of the triangulation as