Dôkaz kolmých priamok na priamku AB

\( \begin{array}{l}A B \perp B G \\ A B \perp E H\end{array} \)
\( \begin{array}{l}A B \perp B H \\ A B \perp E G\end{array} \)
\( \begin{array}{l}A B \parallel B E \\ A B \parallel G H\end{array} \)
\( \begin{array}{l}A B \parallel B G \\ A B \parallel E H\end{array} \)