An elementary treatise on the theory of equationsMacmillan, 1861 - 285 sayfa |
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a₁ Algebra approximation b₁ b₂ biquadratic equation c₁ c₂ changes of sign cloth coefficients column contour contrary signs Crown 8vo 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 given equation greater greatest common measure Hence identity imaginary roots integer last term 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 real roots reciprocal equation result rule of signs shew shewn solution solve the equation Sturm's functions Sturm's theorem substitute suffixes superior limit suppose symmetrical function Theory of Equations tion transformed equation Treatise unity unknown quantities vanish zero
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