Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 123
In this case we havev — u cosec a, and therefore v is greater than u. Hence, if thewind makes the same angle a abaft the beam that the sailmakes with the keel, the velocity of the boat will be greaterthan the velocity of the wind. Next, suppose that the boat is running close to the wind,so that the… … L Let w be the component velocity of the boat in the teethof the wind, that is, in the direction AW, Then we havew = v cos BA W = v cos (a + <^) = w sin ^ cosec cl cos (a + </>). If ais constant, this is a maximum when <^ = }7r —Ja; and, if <^has this value, then w; = ^ it (cosec a —…
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