New Higher Algebra: An Analytical Course Designed for High Schools, Academies, and CollegesR.S. Davis & Company, 1864 - 394 sider |
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Andre utgaver - Vis alle
New Higher Algebra: An Analytical Course Designed for High Schools ... Benjamin Greenleaf Uten tilgangsbegrensning - 1871 |
New Higher Algebra: An Analytical Course Designed for High Schools ... Benjamin Greenleaf Uten tilgangsbegrensning - 1873 |
New Higher Algebra: An Analytical Course Designed for High Schools ... Benjamin Greenleaf Uten tilgangsbegrensning - 1872 |
Vanlige uttrykk og setninger
a²x² algebraic arithmetical progression binomial factors bushels cent Clearing of fractions coefficient common difference common logarithm Completing the square cube root decimal degree denominator denote Divide dividend equal equation Art EXAMPLES exponent expression Extracting the square Find the cube Find the square Find the sum find the values formula given equation Given x² greatest common divisor Greenleaf's imaginary inequality infinite series last term least common multiple logarithm loge miles Multiply negative nth root number of terms obtain OPERATION permutations polynomial positive problem proportion quadratic equation quan quotient radical sign ratio Reduce remainder required root Required the number required to find result rods second term simplest form solution square root Subtracting tity Transposing and uniting unknown quantity Whence whole number α₁
Populære avsnitt
Side 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.
Side 61 - The LEAST COMMON MULTIPLE of two or more quantities is the least quantity that can be divided by each of them without a remainder.
Side 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...
Side 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.
Side 141 - Hence, for raising a monomial to any power, we have the following RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Side 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.
Side 275 - ... travel over, who gathers them up singly, returning with them one by one to the basket ? Ans.
Side 165 - Find the cube root of the first term, write it as the first term of the root, and subtract its cube from the given polynomial.
Side 255 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Side 316 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.