Theory and Solution of Algebraical Equations of the Higher Orders

actually adverted algebraical analysis apply approximation ascertain axis Biquadratic Equations change of sign chapter character coefficients common measure consequently continued fraction corresponding cubic equation curve decimals deduced derived function DESCARTES determine diminishing the roots divisor doubtful interval equa equation f(x example expression factor final term foregoing FOURIER'S method furnish Hence HORNER'S HORNER'S method imaginary roots infer involving labour leading figures leading term limiting equation lost method of FOURIER method of STURM multiplying nearly equal roots negative roots number of real number of variations numerical equations operation pair of equal pair of imaginary polynomial positive roots preceding proposed equation quadratic quadratic function quantity quotient real roots render root exists roots enter roots indicated separation single root solution step STURM's theorem substituted subtangents superior limit theorem tion transformed equation trial-divisors unity vanish X₁ zero