New Elementary Algebra: Containing the Rudiments of the Science for Schools and Academies
American Book Company, 1875 - Algebra - 324 pages
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Pages à faire: 111, 112, 113, 114, 117, 118, 119, 120, 121, 122, 141, 142, 143, 145, 147 et 149.
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added addition algebraic analysis ANALYSIS.-We Assume binomial cents changed coefficient complete condition contain correction cost cube root denominator difference Divide dividend division divisor dollars entire equal equation EXAMPLES FOR PRACTICE Expand exponent expressed extracting extremes factors figure find the values four fourth fraction geometrical Given gives greater greatest half Hence horse indicated inequality last term least common less letter means method miles minus Multiply negative NOTE number of terms obtain OPERATION paid perfect period positive principles problem proportion quadratic quotient radical Raise ratio Reduce remainder represent Resolve result Rule RULE.-I second term SOLUTION Solving square root subtract taken term third three numbers tion Transposing twice unit unknown quantity whole write
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.