A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the Higher Parts Usually Taught in Colleges : Containing Moreover, the New Method of Cubic and Higher Equations, as Well as the Development and Application of the More Recently Discovered Theorem of SturmO. Hutchinson, 1842 - 360 σελίδες |
Περιεχόμενα
Definitions | 9 |
CHAPTER II | 38 |
Reduction of a mixed quantity to the form of a fraction | 44 |
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A₁ arithmetical progression becomes BINOMIAL THEOREM cleared of fractions common logarithms consequently cube root cubic equation degree denoted dividend equa equal EXAMPLES expansion exponent expression Extracting the square factors figure Find a root find the value formula fourth geometrical geometrical progression given gives greatest common divisor greatest common measure Hence Higher Arithmetic imaginary roots infinite left-hand member letters logarithms m₁ m₂ method multinomial theorem multiply Nlog nth root number of terms numerator and denominator obtain Perkins polynomial quadratic equation quotient r₁ rational real roots recurring equation recurring series Reduce remainder result right-hand member Rule under Art scale of relation second term simplest form solved square root Sturm's Theorem Subtracting suppose surd Theorem of Sturm three roots tion transposing and uniting trial divisor uniting terms unknown quantity X₁