The translation of this volume follows the German edition except for Articles 3 and 6, which deal with the slide rule and calculating machines. In these cases, the material has been revised or entirely rewritten, in order to describe the equivalent instruments of American design.
The diagrams in this edition are, for the most part, reprints of those of the original volume, and may therefore contain some German symbols, e.g., the use of the comma to denote the decimal point.
The translator wishes to thank his wife, Ellen F. Beyer, for her assistance in the preparation of the manuscript for publication.
ROBERT T. BEYER
Providence, February, 1947.
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