1. A projector comprising: a position recognition section adapted to recognize a drawing area in which an image is to be drawn based on a first trajectory of a first symbol, the drawing area being designated in a projection surface and the drawing area being a partial area of a projected image projected on the projection surface; an identification information recognition section adapted to recognize, based on a second trajectory of a second symbol, identification information linked with image data representing the image; a storage section adapted to store a table describing correspondence between identification information and image data; an acquisition section adapted to acquire the image data representing the image based on the identification information and the table stored in the storage section; and a drawing control section adapted to perform control so that the image represented by the image data is drawn in the drawing area of the projection surface, wherein the drawing control section performs control so that the second symbol and the image represented by the image data are displayed concurrently, and the drawing area is defined when a user writes a predetermined trajectory as the first trajectory, the predetermined trajectory defining at least one substantially horizontal boundary and at least one substantially vertical boundary of the drawing area on the projection surface, and the at least one substantially horizontal boundary and the at least one substantially vertical boundary together defining the partial area of the projected image projected on the projection surface.