<image>As shown in the figure, in order to monitor activities in an irregular polygonal art corridor, surveillance cameras have been installed at points $$A$$ and $$B$$ (the observation area of the cameras used in the corridor can be a sector with a central angle up to $$180^{\circ}$$). The shadowed area in the figure is what the surveillance camera at point $$A$$ can observe. To ensure the entire art corridor is monitored, another surveillance camera needs to be installed at one of the positions $$E$$, $$F$$, $$G$$, or $$H$$. The installation position is at point ______. $$