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In carrying out a method, the alert operator sees a short-cut and takes it, or a better way occurs to him and he introduces it in the place of the one given. There would be no ultimate harm in this (since all methods fall short of perfection) if the operator would only take the time to investigate and determine the real value of his ideas. In some cases he might discover that his supposed improvement was spoiling a good method, and he would come to agree with the author of the method who had himself probably gone over the same ground. I have seen methods of my own thus modified, and ideas hastily adopted whose incorrectness I had previously demonstrated by careful investigation. I would, therefore, caution operators to accept directions as they stand until they have demonstrated the value of proposed changes to a certainty. Some of the methods in the following collection have been devised by myself, mainly on the basis of previously well-known facts, some are compilations of the work of others, and some are modifications of existing methods. I have endeavored to give proper credit in all cases. While I have aimed at correctness, many shortcomings will undoubtedly be found, and I can only hope that, such as it is, my work may prove of some value to those interested. I shall be grateful for any suggestions, or descriptions of improved methods, to be incorporated in a possible future edition. My thanks are due to Dr. W. F. Hillebrand for valuable information and suggestions. A. H. Low. DENVER, COLORADO, May,
(Typographical errors above are due to OCR software and don't occur in the book.)
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