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The application of hyperbolic functions to electrical engineering problems; being the subject of a course of lectures delivered before the University of London in May and June 1911 (1912)

Kennelly, Arthur E. (Arthur Edwin), 1861-1939 · London, University of London Press · leaf 77

An illustration from The application of hyperbolic functions to electrical engineering problems; being the subject of a course of lectures delivered before the University of London in May and June 1911, 1912, leaf 77
required hyperbolic sine of thecomplex angle x -{-jy radians. In the case presented in Fig. 28, sinh(l +/1) = 0635+/1-2985 = 1-446/63-950. As x varies, Z moves along thehyperbola Zbz. As y varies Z moves along the ellipse XE#y.Both the ellipse and the hyperbola have foci at F and /, pointssituated… … FIG. 28.—Graphical Constructions for Sinh (a; ± jy) and Sinh-i (x ± jy}. Construction for Cosh (x -{-jy). Fig. 29.—Take OA = 1 alongthe positive end of the axis of reals. From OA as initial line, mark off the circular angle y, or the sector area AOB = ^. TO ELECTRICAL ENGINEERING PROBLEMS 61 From…

Exponential functions · Electrical engineering

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