Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 121
— xi 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 wind is before the… … Let w be the component velocity of the boat in the teethof the wind, that is, in the direction A W. Then we havew = v cos BA W = V cos {a+ <l)) = u sin <^ cosec x cos (a + <^). If ais constant, this is a maximum when (f> = lir — ^a; and, if (j>has this value, then w = -^u {cosec a—…
Geometry · Cryptography · Ciphers
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