# 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 � faire: 111, 112, 113, 114, 117, 118, 119, 120, 121, 122, 141, 142, 143, 145, 147 et 149.

### Contents

 SECTION 7 ENTIRE QUANTITIES 26 MULTIPLICATION 40 TO SQUARE A BINOMIAL 47 47 65 LEAST COMMON MULTIPLE 74 DEFINITIONS 107 122 153
 EVOLUTION 181 SQUARE ROOT OF NUMBERS 187 CUBE ROOT OF NUMBERS 195 SECTION IV 220 AFFECTED QUADRATICS COMPLETING 244 SECTION V 255 SPECIAL APPLICATIONS 261 GEOMETRICAL PROGRESSION 285

 NEGATIVE RESULTS 161 PAGE 163
 TWO UNKNOWN QUANTITIES 316

### Popular passages

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.