## Elements of Algebra |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

20 | |

30 | |

49 | |

61 | |

70 | |

99 | |

109 | |

291 | |

297 | |

302 | |

310 | |

313 | |

324 | |

327 | |

341 | |

134 | |

150 | |

163 | |

187 | |

197 | |

218 | |

220 | |

230 | |

235 | |

252 | |

253 | |

266 | |

272 | |

279 | |

344 | |

354 | |

359 | |

380 | |

395 | |

404 | |

412 | |

423 | |

443 | |

444 | |

450 | |

461 | |

### Other editions - View all

### Common terms and phrases

a²b a²b² a²x a²x² ab² arithmetic number arithmetic value ax² binomial coefficients commensurable number common logarithms commutative law complex number cube root denotes digits divided dividend divisor equivalent to system examples illustrate Exercise exponent factors Find the H. C. F. Find the number Find the value following expressions fraction Hence identical imaginary number incommensurable inequality integral irrational equation linear equations locus logarithm mantissa miles an hour monomial Multiply negative number nth power nth root obtain perfect square polynomial positive integer positive number Proof proportion quadratic equation quadratic surd quality-unit quotient radicand ratio rational number real number remainder second term solution of system Solve the system square root Substituting Subtract surd Transpose type-form unknown variable whole numbers x²y x²y² zero

### Popular passages

Page 371 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1...

Page 290 - In a number of two digits the units' digit exceeds the tens' digit by 4, and when the number is divided by the sum of its digits the quotient is 4.

Page 98 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.

Page 406 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 71 - 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. Multiply the divisor by this first term of the quotient, and subtract the resulting product from the dividend. Divide the first term of the remainder by the first term of the divisor, and icrite the result as the second term of the quotient.

Page 225 - 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...

Page 332 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.

Page 221 - A man walks 35 miles partly at the rate of 4 miles an hour, and partly at 5; if he had walked at 5 miles an hour when he walked at 4, and vice versa, he would have covered 2 miles more in the same time : find the time he was walking.

Page 329 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 326 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.