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

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### Contents

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### Common terms and phrases

3d power 3d root a b c abº added algebra ALGEBRAIC QUANTITIEs arithmetical bought bushels cent change the signs cº-H coëfficient Comp compound interest contain decimal Divide dividend division equal equidifference example exponent expressed factors figures Find the 3d Find the 4th Find the third formula fraction gallons given gives greater greatest common divisor Hence integral quantity last term least common multiple less Let the learner logarithm mean proportionals monomials mth power Multiply negative quantity number of terms numerator and denominator obtain polynomials preceding progression by quotient quan question ratio reducing remainder Required the numbers result second member second power second root Substitute subtract Suppose third power third root tion tity transposing twice unknown quantity vulgar fraction whole number yards

### Popular passages

Page 48 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.

Page 52 - 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.

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 25 - A shepherd in time of war was plundered by a party of soldiers, who took \ of his flock and \ of a sheep ; another party took from him \ of what he had left and \ of a sheep ; then a third party took \ of what now remained and J of a sheep.

Page 228 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

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 78 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.

Page 262 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.

Page 225 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.

Page 3 - If equal quantities be divided by the same or 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 altered.