264 NICHOLLS'S SEAMANSHIP AND NAUTICAL KNOWLFDOE per Lour, the effective speed being the velocities of the ship and current combined. Triangle ABC is a triangle of velocities. Moorings.—The illustration shows a ship alongside a quay. The pull on the headrope AB is resolved into a fore-and-aft component AC and a transverse component AD, the force pulling ahead being considerably greater than the side pull, as indicated by the relative lengths of AC and AD. The pull on the sternrope EF is resolved into two components EG and EH, the triangle of forces in this case being EOF. The transverse component is greater than the fore-and-aft component so that the rope EF will be a good breast but not much of a spring, whilst AB. is a better spring than a breastrope. Action of the Rudder.—Figures 4 and 5 show re- spectively the turning and the retarding effect of a rudder angled at 20 degrees and angled at 40 degrees. If XY represents the plane surface of the rudder and PA the fore-and-aft stream current acting on it at A, then the water will be deflected in the direction AQ, because the angle of impact XAP and the angle of deflection QAY are equal,'and EA is the resultant force acting at right angles to XY and bisecting angle PAQ. Produce RA to B so that the length of AB is made equal, in conven- ient units, to the force acting on the rudder. This force will depend upon the area of the rudder and the velocity of the water impinging upon it. From A draw AD athwartship and AC fore and aft. Com- plete the parallelogram ACBD The length of AD measured from the same scale represents the turning force acting on the rudder, and AC the retarding force which tends to reduce the speed of the ship. It will be noted for the smaller angle of rudder, Figure 4, that its turning component is considerably greater than its retarding component, but that for the larger angle they are almost equal, that is AD—AG nearly (Fig. 5). The maximum angle of turning efficiency of a ship's rudder is between 35 and 40 degrees; if the rudder is set at a larger angle than this the turning power is reduced and the retarding effect on the snip's speed is increased. The lines on which a ship is designed is an important factor in