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%% 
%%  Ein Beispiel der DANTE-Edition
%%  Mathematiksatz mit LaTeX
%%  3. Auflage
%%  Beispiel A-02-1 auf Seite 402.
%%  Copyright (C) 2018 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%%  See http://www.latex-project.org/lppl.txt for details.
%% 
%% ==== 
% Show page(s) 1
%% 
%% 
\documentclass[10pt]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{352.81416pt}
\AtBeginDocument{\setlength\parindent{0pt}}
%StartShownPreambleCommands
\usepackage{axessibility}
\usepackage{libertine}
%StopShownPreambleCommands
\begin{document}
The golden mean is the number \[ \frac{1 + \sqrt{5}}{2}, \] that is the root larger in modulus of
\begin{equation} x^2 - x - 1. \end{equation} It is usually defined as the ratio of two lengths
\(a\) and \(b\) such that \begin{equation*} (a+b) : a = a : b. \end{equation*}
Let \(x\) be the ratio \( \frac{a}{b} \), we have \( \frac{a+b}{a} = 1 + \frac{1}{x} \),
from which we get the equation \(x^2 = x + 1\).
\end{document}