Diagrammes de Venn

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\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{shapes,backgrounds}
\begin{document}
\pagestyle{empty}
% Suppose we have three circles or ellipses or whatever. Let us define
% commands for their paths since we will need them repeatedly in the
% following:
% FRANÇAIS — Soit un diagramme constitué de trois cercles ou ellipses.
% Nous définissons ces trois figures de manière à pouvoir les réutiliser :
\def\firstcircle{(0,0) circle (1.5cm)}
\def\secondcircle{(45:2cm) circle (1.5cm)}
\def\thirdcircle{(0:2cm) circle (1.5cm)}
% Now we can draw the sets:
% FRANÇAIS —  nous pouvons les dessiner :
\begin{tikzpicture}
    \draw \firstcircle node[below] {$A$};
    \draw \secondcircle node [above] {$B$};
    \draw \thirdcircle node [below] {$C$};
    % Now we want to highlight the intersection of the first and the
    % second circle:
    % FRANÇAIS — mettons en valeur la zone située
    % à l'intersection des deux premiers cercles :
    \begin{scope}
      \clip \firstcircle;
      \fill[red] \secondcircle;
    \end{scope}
    % Next, we want the highlight the intersection of all three circles:
    % FRANÇAIS — mettons maintenant en valeur la zone située
    % à l'intersection des trois premiers cercles :
    \begin{scope}
      \clip \firstcircle;
      \clip \secondcircle;
      \fill[green] \thirdcircle;
 
 
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