The system according to the invention comprises an assembly for managing the graphic interface of a display, capable of controlling the display, on at least a first region of the display, of a peripheral area formed by a synthetic image comprising at least one synthetic surface representation of the terrain, and capable of maintaining at least one area representative of the position of a landing runway, centered on the landing runway, and at least one front area, adjacent to the center area, substantially free of any synthetic surface representation of the terrain. The management assembly includes means for dynamically defining the length (L) of the front area on the display as a function of a vertical decision position (DP) associated with a selected approach for said landing runway.