An Elementary Treatise on Algebra: For the Use of Students in High Schools and Colleges |
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Common terms and phrases
3d power a b c A's money a² b³ added algebra ALGEBRAIC QUANTITIES arithmetical B's share bought bushels cents changing the signs coefficient compound interest contain cows decimal deduce Divide dividend division equal example exponent expressed figures Find the 3d Find the 4th following RULE formula fraction gallons given gives greater greatest common divisor Hence integral quantity last term least common multiple less Let the learner letter logarithm manner monomial mth power Multiply negative number of terms numerator and denominator obtain Operation polynomial preceding prime factors progression by quotient quan question ratio remainder represent the number Required the numbers result rods second power second root SECTION separated square Substitute subtracted Suppose third power third root tion tities twice unknown quantity whole number yards
Popular passages
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 48 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Page 137 - 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 258 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
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 78 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 260 - 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 223 - 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.