A projector includes illumination optics for providing light beams, a light modulating apparatus for receiving and modulating the light beams provided by the illumination optics, a projection lens for projecting an image of the light beams received from the light modulating apparatus, a first adjusting device for adjusting a position of the illumination optics and adjusting an angle of incidence of the light beams emitted onto the light modulating apparatus, and a second adjusting device for adjusting a position of the projection lens in response to the adjustment of the position of the illumination optics for creating an offset of a position of the image projected by the projection lens.