# Elementary Algegra

Cowperthwait, 1873 - Algebra - 263 pages

### Contents

 INTRODUCTION 7 ALGEBRAIC CONTENTS 14 EQUATIONS X PROBLEMS SIONS 16 ALGEBRAIC PROCESSES 17 ADDITION 21 SUBTRACTION 28 MULTIPLICATION 34 DIVISION 42
 PROBLEMS 130 REVIEW PROBLEMS 131 INVOLUTION 157 EVOLUTION XXXII RADICALS 158 RATIONALIZATION 160 RADICAL EQUATIONS 162 REVIEW PROBLEMS 164 PROBLEMS 169

 REVIEW PROBLEMS EXPRES 50 FACTORS 59 DIVISORS 67 MULTIPLES 72 REVIEW PROBLEMS PAGE 7 75 FRACTIONS 77 ADDITION 87 SUBTRACTION 89 MULTIPLICATION 92 DIVISION 96 REVIEW PROBLEMS TITY XXIV PROBLEMS 101 SIMPLE EQUATIONS 102 ONE UNKNOWN QUAN 77 80 87 89 92 96 101 116 NEGATIVE SOLUTIONS 229 122 MORE THAN TWO UN KNOWN QUANTITIES 128
 AFFECTED 166 171 QUAD 179 SIMULTANEOUS QUAD RATIC EQUATIONS 183 PROBLEMS 188 RATIO AND PROPOR TION 191 ARITHMETICAL PRO GRESSION 199 GEOMETRICAL GRESSION 204 PROBLEMS 204 209 GENERAL REVIEW 213 114 223 122 224 PRO 235 BINOMIAL THEOREM 238 LOGARITHMS 171 179 243

### Popular passages

Page 50 - 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 63 - 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 64 - 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 261 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Page 244 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 194 - Art. 338, that in a proportion, either extreme is equal to the product of the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean.
Page 218 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Page 64 - ... 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.
Page 43 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 113 - A privateer running at the rate of 10 miles an hour discovers a ship 18 miles off making way at the rate of 8 miles an hour : how many miles can the ship run before being overtaken ? Ans.