Theory of Equations

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. We shall be employed mainly with such algebraical func tions as are rational and integral. By a rational function of a quantity is meant one which contains that quantity in a rational form only; that is, a form free from fractional indices or radical signs. By an integral function of a quantity is meant one in which the quantity enters in an integral form only; that is, never in the denominator of a fraction. The following expres sion, for example, in which n is a positive integer, is a rational and integral algebraical function of x.