New Higher Algebra: An Analytical Course Designed for High Schools, Academies, and CollegesR.S. Davis, & Company, 1871 - 386 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a² b² a²x² algebraic arithmetical binomial factors bushels cent Clearing of fractions coefficient Completing the square cube root decimal degree denote difference Divide dividend division 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 least common multiple logarithm Multiply nth root number of terms obtain OPERATION polynomial positive problem quadratic equation quadratic form quadratic surds quan quotient radical sign rational real roots Reduce remainder required root Required the number Required the square required to find result second term simplest form solution square root Sturm's Theorem Substituting the value Subtracting tity Transposing and uniting unknown quantity Whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 273 - ... travel over, who gathers them up singly, returning with them one by one to the basket ? Ans.
Σελίδα 142 - RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Σελίδα 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'.
Σελίδα 180 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Σελίδα 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.
Σελίδα 314 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.