PARALLELOGRAM OF FORCES 265 determining her speed of turning. Think of a round flat tub floating in water and of a deal plank kept floating on its edge by means of a keel. It is obviously much easier to turn the tub about a vertical axis than the Fig. 4 —Rudder Angle 20° Fig 5 —Rudder Angle 40C plank. Ships are designed on lines between these extremes, and a short, flat-bottomed, beamy ship turns quicker on her rudder than a long, deep narrow ship. S r" \ v----V \ \ \ f--*-,; + I / Fig. 6. The Turning Centre of a ship when under way is situated about one-third her length abaft the stem, and it is necessary to keep this in mind when manoeuvring in narrow waters as the stern of the ship sweeps round the circumference of a larger circle than the stem. Figure 6 indicates the relative diameters of the circles, assuming for the