## Mathematics: Compiled from the Best Authors, and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volume 1W. Hilliard, 1808 - Mathematics |

### From inside the book

Results 1-5 of 22

Page 53

...

...

**denominator**. The**denominator**shows how many parts the integer is di- vided into ; and the numerator shows how many ...**common**measure of two or more numbers is that number , which will divide each of them without a remain- der ... Page 58

...

...

**common**measure , and the quotients will be the terms of the fraction required . EXAMPLES . 1. Reduce 144 to its ...**denominator**of the * All fractions represent a division of the numerator by the fraction , and add the numerator to ... Page 59

...

...

**denominator**will form the fraction re- quired . EXAMPLES 1. Reduce 27 | to its equivalent improper fraction . 27 9 ...**common**division . 981 EXAMPLES . 1. Reduce 2 t0 *ts equivalent whole ARITHMETIC . 59. Page 62

...

...

**common denominator**. RULE 1. * Multiply each numerator into ail the denominators , ex- cept its own , for a new numerator ; and all the denominators continually for the**common denominator**, EXAMPLES . 1. Reduce ,, and to equivalent ... Page 63

...

...

**common denominator**by the denominator of each fraction , and multipy the quotient by the numerator , and the product will be the numerator of the fraction re- quired . EXAMPLES . f. Reduce ,, and to fractions , having the least com ...### Contents

9 | |

19 | |

34 | |

40 | |

50 | |

56 | |

65 | |

71 | |

83 | |

91 | |

95 | |

97 | |

110 | |

121 | |

128 | |

133 | |

138 | |

140 | |

143 | |

151 | |

164 | |

166 | |

170 | |

175 | |

181 | |

187 | |

193 | |

244 | |

251 | |

259 | |

273 | |

280 | |

285 | |

289 | |

295 | |

301 | |

316 | |

330 | |

332 | |

339 | |

349 | |

380 | |

387 | |

405 | |

447 | |

464 | |

### Other editions - View all

### Common terms and phrases

2qrs amount of 11 angle annuity annum answer required arithmetical called carats cent centre circle circumference coefficient common denominator completing the square compound interest cube root debt decimal denoted diameter discount Divide dividend division divisor equal equation EXAMPLES exponent figures Find the present fourth gallon geometrical progression geometrical series give given number greater greatest common measure improper fraction least common multiple less number logarithm manner Multiply natural number negative NOTE nth root number of combinations number of terms number of things payment perpendicular pound present worth PROBLEM proportion quotient radius ratio Reduce remainder repetend required to find rule of three sides simple interest sought square root subtract Suppose supposition surd taken tare triangle unknown quantity vulgar fraction Whence whole number yards