The Second Fundamental Theorem of Electrical Networks*

where P(x — A) represents a power series in (a„ — A), (bn — A), (a;n+1 — A), quadratic terms and higher. As a numerical example consider the first root of x tan x — 1 = 0. Taking a = 0.8, b = 0.9 equation (4) yields the tabulated value 0.8603. Two or more applications of Newton's method will involve interpolation if one has only a two place table at hand. Estimates of the magnitude of error involved in interpolation by means of (4) have been found by Hummel and Seebeck [5],