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

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### Contenido

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### Términos y frases comunes

according added algebra already amount arithmetical becomes bought bushels called cent characteristic coëfficient common consequently consisting contain corresponding decimal denominator difference Divide dividend division divisor equal equation example exceeds exponent expression Extract extremes factors fifth figures Find five formula four fourth fraction given gives greater greatest hand Hence hundreds increased Indicate integral interest known learner length less letter logarithm manner mean miles 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 tion transposing twice units unknown quantity whole yards

### Pasajes populares

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

Página 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.

Página 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.

Página 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.

Página 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.

Página 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.

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

Página 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.

Página 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.

Página 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.