## 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 93

Page

...

...

**Notes**to most of the Geometrical Problems , containing the princi- ples , on which their solutions respectively depend . Notice of the principal alterations in the second vol- ume is prefixed to it . S. W. Cambridge , April 18 , 1808 ... Page ii

...

...

**Notes**Single Fellowship Double do . Alligation Medial Alternate Involution Evolution · Extraction of the Square Root Cube Root Cube Root by Approximation Roots of Powers in general Do. by Approximation Arithmetical Progression ... Page vi

...

...

**Notes**Single Fellowship Double do . Alligation Medial Alternate Involution Evolution • Extraction of the Square Root Cube Root Cube Root by Approximation Roots of Powers in general Do. by Approximation Arithmetical Progression ... Page 9

...

...

**Notes**, I shall endeavour to explain it in as clear and concise a 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 ... Page 12

...

...

**Note**. It may be proper to explain here certain " signs , used in this work . SIGNIFIES equality ; as 20 shillings = 1 pound sig- nifies , that 20 shillings are equal to one pound . Signifies plus , or addition ; as , 4 + 2 = 6 ...### 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