New Elementary Algebra: Containing the Rudiments of the Science for Schools and Academies

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American Book Company, 1875 - Algebra - 324 pages
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Pages faire: 111, 112, 113, 114, 117, 118, 119, 120, 121, 122, 141, 142, 143, 145, 147 et 149.

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Page 268 - Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1 ; the quotient will be the sum of the series required.
Page 279 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Page 94 - Reduce the fractions to a common denominator ; then subtract the numerator of the subtrahend from the numerator of the minuend, and write the result over the common denominator. EXAMPLES. H ,_, Zx . ^ 3x 1. From -^- subtract — . oo . Eeducing to a common denominator, the fractions become Wx 9x "15...
Page 60 - 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.
Page 124 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.
Page 199 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 190 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 190 - 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 108 - The FIRST MEMBER of an equation is the quantity on the left of the sign of equality ; and The SECOND MEMBER is the quantity on the right of that sign. Thus, in the equation, 5 x -\-y = b + c, 5 x -j- y is the first member, and b -|- c is the second.
Page 100 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.

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