## An Elementary Treatise on Algebra: For the Use of Students in High Schools and Colleges |

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according added amount becomes bought bushels called cents coefficient common consequently contain decimal denominator difference Divide dividend division divisor equal equation example exponent expression extract factors figures Find formula four fourth fraction given gives greater greatest hand Hence hundreds Indicate integral interest known least length less letter logarithm manner mean Moreover Multiply negative obtain Operation performed period polynomial positive preceding progression proportion quantity question quotient raised ratio reducing remainder Remark represent Required result rods root rule second power second root separated share shillings similar square Substitute subtracted Suppose tens third power third root transposing twice units unknown quantity whole yards

### Popular passages

Page 48 - Divide the coefficient of the dividend by the coefficient of the divisor.

Page 139 - 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 124 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.

Page 3 - If equal quantities be divided by the same quantity, or by equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed.

Page 292 - Four persons purchased a farm in company for 4755 dollars ; of which B paid three times as much as A ; C paid as much as A and B ; and D paid as much as C and B. What did each pay 1 Prob. 32. It is required to divide the number...

Page 168 - RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.

Page 3 - If the same quantity or equal quantities be added to equal quantities, their sums will be equal. 2. If the same quantity or equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same, or equal quantities, the products will be equal.

Page 134 - 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 294 - The sum of these digits is 5, and if 9 be added to the number itself the digits will be inverted.

Page 3 - If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, the value of the former will not be changed. 7. Quantities which are equal to the same quantity are equal to each other.