When a vehicle, after travelling in a straight line, is driven along a curve, the path swept by the vehicle increases in width. This paper describes a means by which the swept paths of vehicles may be determined by means of a mathematical model; the method also enables the path followed by any point on the vehicle to be described in mathematical or graphical from. Discussion is given of various aspects of the practical application of the method. Experiments have indicated that the method describes vehicular swept paths with an error of less than half of one percent. Some graphical examples of swept paths of vehicles are included.