A civil engineering machine includes an arrangement for assisting the driver of the machine when reversing which has a calculating unit to determine data which defines at least one trajectory of the civil engineering machine as a function of the position of the front and rear running gear, both as a function of a steering angle and as a function of a mode of steering. The arrangement for assisting the driver of the machine when reversing also has an image detecting unit for detecting an image of the rear part of the civil engineering machine and a display unit for displaying the detected image of the rear part of the civil engineering machine. An image processing unit superimposes a representation of the at least one trajectory on the image of the rear part of the civil engineering machine which is displayed on the display unit.