A method operates a visual field display device, in particular for a motor vehicle, which is designed to produce a projection light beam with a display content and to project the display content onto a partially transparent reflecting projection screen, in particular a front window of the motor vehicle, such that a virtual display image which is superimposed into a field of vision of a user is generated behind it. The method determines image element edges having vertical or a vertical component in the virtual display image to be superimposed and tilts the image element edges thus determined to a respectively adapted tilt angle with respect to the vertical, such that double images of the respective image element edges in the virtual display image are offset with respect to each other in the horizontal direct for the user due to double reflections of the projection light beam on two optical boundaries of the projection screen and appear substantially sharp.