This section is from the book "Shop Projects Based On Community Problems", by Myron G. Burton. Also available from Amazon: Shop Projects Based on Community Problems.
Paragraph 20. The bench hook is used in holding small pieces of material while they are being sawed, as already shown in Figure 21, Paragraph 5. Place the bench hook in such a position that one block rests against the edge of the bench. This will cause the other block to stand in a convenient position to receive the material to be sawed. Place the material against the block and grasp the bench hook with the left hand, with the palm of the hand resting on the material to be cut. The sawing should be done close to the block on the bench hook, thus when the cut is finished it will saw into the exposed portion of the bench hook and prevent splintering the material on the opposite side. The bench hook should also be used for chiseling purposes so as to avoid abusing the bench top.
 
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