DocumentCode :
1409986
Title :
Graphical construction of hyperbolic functions
Author :
Helwig, W. F.
Author_Institution :
Electrical Engineering Texas Technological College
Volume :
50
Issue :
2
fYear :
1931
Firstpage :
117
Lastpage :
118
Abstract :
TRANSMISSION line calculations requiring the use of complex hyperbolic functions are materially simplified through the construction and use of a chart from which both the complex hyperbolic sine and cosine values may be determined in either polar or complex-number form. The device is a polar rectangular chart combined with a specially constructed scale graduated in values of {\\epsilon^{a} \\over 2} and {\\epsilon^{-a} \\over 2} . The chart should be constructed with angles in circular radians and degrees which may be divided into convenient values. In constructing such a chart for practical use it may be convenient to employ heavy lines to denote each interval of 5 deg. and to subdivide these into degrees by fine lines. Ordinary cross-section paper having ten lines per inch is suitable for the rectangular chart.
Keywords :
Accuracy; Distance measurement; Educational institutions; Electrical engineering; Generators; Turbines; Vectors;
fLanguage :
English
Journal_Title :
Electrical Engineering
Publisher :
ieee
ISSN :
0095-9197
Type :
jour
DOI :
10.1109/EE.1931.6430177
Filename :
6430177
Link To Document :
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