An Elementary Treatise on the Theory of Equations: With a Collection of ExamplesMacmillan, 1861 - 279 Seiten |
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a₁ Algebra approximation b₁ b₂ biquadratic equation c₁ changes of sign column contour contrary signs cube roots cubic equation d₁ denote derived function determinant divide divisible equa equal roots equation f(x equation f(x)=0 equation x³ example expression factors following equations Fourier's functions fraction given equation greater greatest common measure Hence identity imaginary roots integer left-hand member Let f(x method multiply negative root Newton's method nth degree nth roots number of changes obtain odd number original equation P₁ P₂ positive roots preceding Article proposed equation quadratic quotient qx² rational integral function real roots reciprocal equation result rule of signs S₁ shew shewn solution solve the equation square Sturm's functions Sturm's theorem substitute suffixes superior limit suppose symmetrical function tion transformed equation unity unknown quantities vanish zero