PROJECTOR AND CONTROL METHOD

A projector includes: an image-taking section; an updating section; a storing section storing taken-image information, position data and image data; a projecting section projecting a whole image including an individual image and having a function of adjusting the size of the whole image; and a control section performing control so as to make the projecting section adjust the size of the whole image according to the movement of the individual image in a state in which the whole image includes the whole of the individual image.