New Elementary Algebra: Designed for the Use of High Schools and Academies

Leach, Shewell and Sanborn, 1879 - Algebra - 336 pages
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Contents

 Definitions 7 Axioms 8 Powers of Monomials 21 FRACTIONS 74 Powers of Binomials 109 Elimination 132 Problems leading to Simple Equa 139 Simple Equations containing three 145
 Subtraction of Radicals 194 Fundamental Rules 208 Simultaneous Equations 216 QUADRATIC 217 Affected Quadratic Equations 218 Second Method of Completing 225 APPENDIX 285 SUPPLEMENTARY EXERCISES 301

 Square Root of Numbers 167 Reduction of Radicals 187

Popular passages

Page 95 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Page 53 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 90 - SUBTRACTION OF FRACTIONS is the process of finding the difference between two fractions.
Page 223 - Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10.
Page 234 - ... two triangles are to each other as the products of their bases by their altitudes.
Page 54 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 175 - Subtract the square of the root from the left period, and to the remainder bring down the next period for a dividend. 3d. Double the root already found, and place it on the left for a divisor. Find how many times the divisor is contained...
Page 245 - 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 51 - 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 55 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.