+\image html b-ithmetic1d.png "Arithmetic 1D hypothesis - the size of mesh elements gradually increases"
+
+<b>See Also</b> a sample TUI Script of a
+\ref tui_1d_arithmetic "Defining Arithmetic 1D and Geometric Progression hypothesis" operation.
+
+<br>
+\anchor geometric_1d_anchor
+<h2>Geometric Progression hypothesis</h2>
+
+<b>Geometric Progression</b> hypothesis allows to split edges into
+segments with a length that changes in geometric progression (Lk =
+Lk-1 * d) beginning from a given starting length and with a given
+common ratio.
+
+The direction of the splitting is defined by the orientation of the
+underlying geometrical edge. <b>"Reverse Edges"</b> list box allows to
+specify the edges for which the splitting should be made in the
+direction opposing to their orientation. This list box is enabled only
+if the geometry object is selected for the meshing. In this case the
+user can select edges to be reversed either directly picking them in
+the 3D viewer or by selecting the edges or groups of edges in the
+Object Browser.
+
+\image html a-geometric1d.png