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Elements of Algebra: For Colleges, Schools, and Private Students, Bok 2
Uten tilgangsbegrensning - 1866
Elements of Algebra: For Colleges, Schools, and Private Students, Del 2
Uten tilgangsbegrensning - 1894
Elements of Algebra: For Colleges, Schools, and Private Students
Uten tilgangsbegrensning - 1865
added addition algebraic applied arithmetical assume becomes binomial called changed coëfficients common consists contains continued courses cube root decimal denominator denotes derived difference distance divided dividend division divisor equal equation evident example expansion exponent expressed factors figure Find the sum find the value formula four fourth fraction functions given gives greater greatest Hence hour increased integral known less letters logarithms manner means method miles minus Multiply negative number of balls obtain operation perform pile places polynomial positive preceding principle problem progression proportion Proposition prove quotient radical ratio Reduce remainder represent required to find result Rule side similar simple solution solved square root Substituting subtracted suppose taken term Theorem third tion transposing travels true units unity unknown quantity variation Whence whole
Side 152 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Side 43 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Side 35 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.
Side 39 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Side 325 - The characteristic of the logarithm of any number greater than unity, is one less than the number of integral figures in the given number.
Side 148 - No binomial can be a perfect square; for the square of a monomial is a monomial, and the square of a binomial is a trinomial. Thus...
Side 255 - Given, the first term a, the common difference d, and the number of terms n, to find s, the sum of the series. If we take an arithmetical series, of which the first term is 3, common difference 2, and number of terms 5, it may be written in the following forms : 3, 5, 7, 9, 11, 11, 9, 7, 5, 3.
Side 37 - Since, in multiplying a polynomial by a monomial, we multiply each term of the multiplicand by the multiplier ; therefore, we have the following RULE, FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according to the rule for the division of monomials.