## 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 69

Page 9

...

...

**manner**as possible . 1. It may then be observed , that the characters , by which all numbers are expressed , are these ten ; 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ; 0 is called a cypher , and the rest , or rather all of them , are ... Page 15

...

...

**manner**400 = 4X 994 , and 60 = 6x9 + 6 . Therefore 3467 = 3 × 999 + 3 + 4X 99 + 4 + 6 × 9 + 6 + 7 = 3 × 999 + 4 × 99 ...**manner**, this property may be shown to belong to the number three ; but the preference is usually given to the ... Page 20

...

...

**manner**, the product of the multi- plicand by the second figure of the multiplier ; but as the figure we are multiplying by stands in the place of tens ; the product must be ten times its simple value ; and therefore the first fig- ure ... Page 28

...

...

**manner**till the whole is finished . bers , instead of a general demonstration . He says , the dividend being divided by the integral quotient , the quotient of this divi- sion will be equal to the former divisor , with the same remain ... Page 32

...

...

**manner**of finding it , without any assistance from fractions . Rule . Multiply the quotient by the divisor , and subtract the product from the dividend , and the result will be the true remain- der . The truth of this is extremely ...### 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