New Higher Algebra: An Analytical Course Designed for High Schools, Academies, and Colleges |
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Common terms and phrases
algebraic arithmetical progression binomial factors bushels cent Clearing of fractions coefficient common difference Completing the square cube root decimal degree denote Divide dividend equation Art EXAMPLES exponent expression Extracting the square Find the cube Find the square Find the sum find the values following RULE formula given equation greatest common divisor Hence the RULE indicates inequality last term least common multiple less logarithm miles Multiply negative nth root number of terms obtain OPERATION polynomial positive problem proportion quadratic equation quadratic form quan quotient radical sign ratio real roots Reduce remainder required root Required the number required to find result second term simplest form solution square root Substituting the value Subtracting surds tion tity Transposing and uniting unknown quantity Whence whole number α₁
Popular passages
Page 41 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 157 - Subtract the square of the root from the left period, and to the remainder bring down the next period for a dividend. 3d. Double the root already found, and place it on the left for a divisor. Find how many times the divisor is contained...
Page 79 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 82 - A Complex Fraction is one having a fraction in its numerator, or denominator, or both. It may be regarded as a case in division, since its numerator answers to the dividend, and its denominator to the divisor.
Page 273 - ... travel over, who gathers them up singly, returning with them one by one to the basket ? Ans.
Page 142 - RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Page 46 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'.
Page 180 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Page 89 - Transpose the unknown terms to the first member, and the known terms to the second member, and reduce each member to •t$ simplest form.
Page 314 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.