Abstract :
The formulas relating to the behavior of long alternating-current lines of uniform resistance, inductance, capacitance and leakance, operated in the steady state, are very simply expressed in terms of hyperbolic functions; but are very long and cumbersome if expressed, with equal precision, without those functions. The absence of suitable tables∗ of hyperbolic functions of complex variables has, however, stood in the way of the general use of hyperbolic formulas. A few tables of such functions, in terms of real and imaginary components, have been published; but these are not so convenient for engineering purposes as tables of vector variables, using polar coördinates.
