\ANG{
Der W"urfel $ABCDEFG$ wird durch die Ebene $E(XYZ)$ in zwei Teile
zerschnitten. Konstruiere die Schnittfigur im Schr"agbild.

$$
\beginpicture
\setcoordinatesystem units <1mm,1mm>
\setplotarea x from -25 to 100, y from -25 to 95
\setdots <1mm>
  \grid 25 24
\plotsymbolspacing 0.25 pt

% Wuerfel ------------------------------------------
\setsolid
\plot    0  0      60   0      60  60     0  60    0  0  /
\plot   60  0      90  30      90  90    30  90    0 60  /
\plot   60 60      90  90      /
\setdashes
\plot    0  0      30  30      90  30    /
\plot   30 30      30  90       /
                                            
\put {A} at -3  -3 
\put {B} at 63  -3
\put {C} at 93  33
\put {D} at 26  33
\put {E} at -3  57 
\put {F} at 63  57
\put {G} at 93  93
\put {H} at 26  93
%Ebenenstueck
\multiput {\circle*{2.5}}[Bl] at           
            50  90      10  70      0   40  /  
\setsolid
\plot 50  90    10  70      0   40 /
\put {$X$} at  53  93
\put {$Y$} at   7  70
\put {$Z$} at  -3  40

% ------------------------------------------------

\endpicture
$$
}
\LSG{\mbox{}
}
