This section is from the book "The Scientific American Boy", by A. Russell Bond. Also available from Amazon: The Scientific American Boy.
Then we cut sixteen paddles of the form shown in Fig. 257. Eight of these were 12 inches long, and the rest measured 18 inches. A slot 3 inches deep was cut in each paddle of just the right width to slip over the tie boards. The shorter paddles were fastened on just back of the spokes, and the rest were secured half-way between each spoke. The paddles were braced by stretching a wire from one to another all the way around the wheel.

Fig. 256. The Water Wheel.

Fig. 257. A Paddle.
 
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