A system for displaying information related to a flight of an aircraft and an associated method are provided. The display system comprises a display device, a man-machine interface, a module for dynamically generating synthesis images, each comprising a synthetic depiction of the environment and a curve representative of a trajectory, said module being configured to generate a first synthesis image centered around a first central point of interest, to command the display thereof, and to detect an action to modify the central point of interest by an operator via said man-machine interface. The generating module is also configured to determine, as a function of said modification action, a second central point of interest, situated along said curve whatever said modification action is, to generate a second synthesis image centered around said second central point of interest, and to command the display thereof.