the lines la 1 to la 5 fig1 is a schematic for explaining the unit area af with an optical path from the super high pressure mercury lamp 101 to the screen 116 for convenience only the main components are shown the projection lens 114 is illustrated to be a single biconvex lens and the prism group 1110 is illustrated separately though the prism group 1110 is included in the liquid crystal panel 1100 r actually the projector 100 includes the components that belong to optical systems such as the illumination optical system hereinafter u201c illumination system ill u201d the projection optical system hereinafter u201c projection system pl u201d and the color separation optical system the super high pressure mercury lamp 101 and the integrator belong to the illumination system ill the projection lens 114 belongs to the projection system pl and corresponds to the projection system pl in fig1 any components that belong to the color separation optical system such as the red light transmitting dichroic mirror 106 are not shown in fig1 the optical path from the super high pressure mercury lamp 101 to the screen 116 is as follows the super high pressure mercury lamp 101 outputs the light to the integrator 104 the integrator 104 illuminates the liquid crystal panel 1100 r with the superposed lights that have a predetermined angle distribution that is the superposed lights with the various incident angles illuminate a position obj that is on the liquid crystal panel the liquid crystal panel.