A device for constructing a synthetic image of an aircraft environment may include information sources having information relating to the aircraft and to its environment. An information processor constructs a synthetic image of the environment of the aircraft on the basis of information emanating from the information sources. A display presents, on at least one part of a display screen, a synthetic image, which is constructed with the aid of a conical projection onto a plane of projection that is orthogonal to a line of aim that forms angles of lateral separation and angles of vertical separation with the course of the aircraft.