%This macro provides the typesetting of the math of the second horizontal area
%of the column 1of page 8.
%
%The macro has one parameter
% 1) The width usable for typeseting the math.
\newcommand\TEightFactTwo[1]{
\parbox[t]{#1}{%
\def\LineOfArrayA##1##2##3{##1&=&##2&=##3\\}%
\def\LineOfArrayB##1##2##3##4{##1&=&##2&##3=##4\\}%
%This macro should add a negative spave in the last column
%of a line of the array. For a strange reason when a line is alone the
%value is much too far at right. This a pure visual layout, like one
%is accustomized to do in Word.
\def\LastColPosition{\hspace{-32.6ex}}
\TEightSeriesFactAFontSize
\noindent
$\begin{array}{lllll}
%x^1
\LineOfArrayA{x^1}{x^{\underline 1}}{x^{\overline 1}}
%x^2
\LineOfArrayA{x^2}{x^{\underline 2} + x^{\underline 1}}{x^{\overline 2} - x^{\overline 1}}
%x^3
\LineOfArrayA{x^3}{x^{\underline 3} + 3 x^{\underline 2} + x^{\underline 1}}
{x^{\overline 3}- 3 x^{\overline 2} + x^{\overline 1}}
%x^4
\LineOfArrayA{x^4}{x^{\underline 4} + 6 x^{\underline 3}+ 7 x^{\underline 2} + x^{\underline 1}}
{x^{\overline 4} - 6 x^{\overline 3}+ 7 x^{\overline 2} - x^{\overline 1}}
%x^5
\LineOfArrayA{x^5}{x^{\underline 5} + 15x^{\underline 4} + 25 x^{\underline 3}+ 10 x^{\underline 2} + x^{\underline 1}}
{x^{\underline 5} - 15 x^{\overline 4} + 25 x^{\overline 3}- 10 x^{\overline 2} + x^{\overline 1}}
\end{array}$
\par\vspace{1ex plus .2ex minus .5ex}
\centerline{\rule{5cm}{.5pt}}
\par\vspace{1ex plus .2ex minus .5ex}
