• 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