Abstract: A projector in which an image signal is inputted to project an optical image corresponding to the image signal and display the image on a projection surface, the projector including: an optical modulation unit having an area capable of modulation where light can be modulated for modulating the light emitted from a light source in the area capable of modulation to form an optical image; a projection lens for enlarging and projecting the optical image formed in the optical modulation unit; a forming area changing unit capable of changing a size or a shape of a forming area for forming an optical image corresponding to the image signal in the area capable of optical modulation; an operation part capable of inputting location information indicating a projection location of the optical image corresponding to the image signal; and a forming area moving unit for moving the forming area on the basis of the location information inputted by means of the operation part when the forming area changed in size or shape by m