# An Elementary Algebra

Cowperthwait, 1873 - 263 σελίδες

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### Περιεχόμενα

 Introduction 7 Algebraic Expres sions 16 Algebraic Processes 17 Addition 21 Subtraction 28 Multiplication 34 Division 42 Review Problems 50
 More than two Un known Quantities 128 Problems 180 130 Review Problems 131 Involution 134 XXXT Evolution 138 Radicals 147 Rationalization 160 Radical Equations 162

 Equations 51 Problems 55 Factors 59 Divisors 67 Multiples 72 Review Problems 75 Fractions 77 Reductions 80 Addition 87 Subtraction 89 Multiplication 92 Division 96 Review Problems 101 Simple Equations 102 One Unknown Quan tity 105 Problems 108 Section Paoe XXV Two Unknown Quantities 114 Problems 122
 Review Problems 164 Pure Quadratics 166 Problems 169 Affected Quad ratics 179 SimultaneousQuad ratic Equations 183 Problems 188 Ratio and Propor tion 191 Arithmetical Pro gression 199 Geometrical Pro gression 204 Problems 209 General Review 213 Generalization 225 Negative Solutions 229 Indeterminate and Impossible Problems 231 ties 235 Binomial Theorem 238 LIT Logarithms 243 5 245

### Δημοφιλή αποσπάσματα

Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 244 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 43 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Σελίδα 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.