A.S. Barnes & Company, 1867 - Algebra - 303 pages
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added addition affected algebraic apples arithmetical becomes binomial called cents changing Charles co-efficient common difference completing consequent contain cube denominator difference diminished Divide dividend division divisor dollars double entire equal equation EXAMPLES exponent expression extracting the square factors figures Find the square Find the values five four fourth fraction Given gives greater half Hence horse interest James John last term less letter logarithm means methods monomial Multiply negative number of terms obtain operations perfect square periods person piece polynomial positive problem progression proportion question quotient radical ratio receive Reduce remainder represent result rule similar simplest form square root Substituting subtract sum equal taken tens term third transposing twice units unknown quantity values of x Verification weight whence write yards
Page 162 - 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.
Page 159 - Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 69 - Then divide the first term of the remainder by the first term of the divisor...
Page 62 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Page 199 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Page 140 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans. A 14JA days, B 17fa, and C 23JT.
Page 140 - A person bought a chaise, horse, and harness, for £60 ; the horse came to twice the price of the harness, and the chaise to twice the price of the horse and harness ; what did he give for each?
Page 113 - Two persons, A and B, lay out equal sums of money in trade; A gains $126, and B loses $87, and A's money is now double of B's : what did each lay out ? Ans. $300.
Page 181 - It has already been shown (Art. 46), that, (a + b)2 = a2 + 2ab + b2 ; that is, The square of a binomial is equal to the square of the first term plus twice the product of the first term by the second, plus the square of the second.
Page 59 - 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.