An Elementary Treatise on the Theory of Equations: With a Collection of Examples

according Algebra apply approximation Assume becomes biquadratic equation calculate called changes of sign Chapter cloth coefficients College column common measure consider constituents continued Crown 8vo cubic equation denote derived determinant divide divisible Edition element equal equation f equation f(x example expression factors four fraction function give given greater Hence higher identity imaginary roots increases integer involves less lies method multiply namely number of changes obtain occur original positive roots powers preceding Article present proceed proposed equation prove quadratic quantities quotient rational real roots reciprocal equation relation remainder repeated respect result rows rule rule of signs satisfy shew solution solve square student Sturm's substitute successively suppose symbols taken theorem theory third tion transformed Treatise true unity vanish zero