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

Ivison, Phinney, Blakeman, & Company, 1866 - Algebra - 312 pages
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### Contents

 DEFINITIONS AND NOTATION 7 Definitions of Algebraic Quantities 23 Multiplication 40 To multiply the sum of two quantities 49 Definitions of Terms and Signs 55 Definitions 107 Reduction 113 Proportion and its relation to Equa 122
 Involution 163 Frenchs Theorem 174 Evolution 181 Square Root of Numbers 187 PROPORTION 247 239 258 241 265 Applications 272

 Two Unknown Quantities 139 Elimination 146 Three Unknown Quantities 155 Negative Results 161
 General Principles in Twelve Propositions 279 APPROXIMATE ROOTS OF HIGHER DEGREES 289 MISCELLANEOUS EXAMPLES 297 140 311

### Popular passages

Page 194 - 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 185 - ... 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 256 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Page 95 - 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.
Page 134 - How many days did he work, and how many days was he idle...
Page 105 - To transpose any term of an equation. Transposition is the process of changing a term from one member of an equation to the other, without destroying the equality.
Page 38 - Multiply the coefficients of the two terms together, and to their product annex all the letters in both quantities, giving to each letter an exponent equal to the sum of its exponents in the two factors.
Page 70 - The least Common Multiple of two or more quantities is the least quantity that will contain them exactly.
Page 55 - Divide the first term of the dividend by the first term of the divisor, and write the result for the first term of the quotient. Multiply the whole divisor by this term of the quotient, and subtract the product from the dividend.
Page 301 - A person bought two cubical stacks of hay, for .£41 ; each of which cost as many shillings per solid yard as there were yards in a side of the other, and the greater stood on more ground than the less by 9 square yards. What was the price of each?