A Treatise on AlgebraReprint of the original, first published in 1857. |
Contents
INTRODUCTORY ARTICLE | 13 |
FIRST PART | 19 |
Extraction of roots is the inverse operation of raising to a power | 55 |
Irrational radicals and quantities | 61 |
Irrational roots | 67 |
OPERATIONS ON POLYNOMIALS | 73 |
888 | 89 |
SECOND PART | 116 |
RATIOS PROPORTIONS AND PROGRESSIONS | 173 |
LOGARITHMS | 190 |
SERIES | 206 |
Problems | 213 |
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Common terms and phrases
algebraical quantities arithmetical arithmetical progression binomial called changed ciphers coefficient consequently corresponding number cubical root degree denominator difference divided dividend divisor equa equal to zero equivalent exactly divisible example exponent expressed factors figures formula fraction geometrical geometrical progression given equation given number gives hence imaginary indefinite infer irrational last term likewise logarithms manner monomials multiplied nomial nth root number contained number N number of permutations numerical value observe obtained operation polynomial positive preceding number prime number Problem proportion quotient ratio rational numbers real root regard remainder represent resolved rule rule of signs second member second term simple square number square root substituting subtract Suppose supposition symbols taken terms taken Theorem third three and three tion triple product unknown quantity variable whole number