## A Theoretical and Practical Treatise on Algebra: In which the Excellencies of the Demonstrative Methods of the French are Combined with the More Practical Operations of the English and Concise Solutions Pointed Out and Particularly Inculcated : Designed for Schools, Colleges and Private Students |

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### Contents

Addition | 12 |

Multiplication | 19 |

Division 86 | 26 |

Amf iib uc Fractions | 34 |

SECTION II | 52 |

Question producing Simple Equations | 70 |

Equations of Three or more unknown Quantities | 76 |

Problems producing Simple Equations of Two or more unknown quanti | 87 |

Questions producing Quadratic Equations | 183 |

SECTION V | 189 |

Geometrical Progression | 195 |

Geometrical Proportion | 205 |

SECTION VI | 213 |

Infinite Series | 221 |

Reversion of a Series | 231 |

Application of Logarithms | 244 |

Interpretation of negative values in the Solutior of Problems | 94 |

Problem of the Couriers | 102 |

Some application of the Binomial Theorem | 111 |

Cube root of Compound quantities | 121 |

Exponential Quantities and Surds | 128 |

Binomial Surds | 141 |

Problem producing pure Equations | 147 |

Quadratic Equations | 157 |

Special Artifices in resolving Quadratics Art 106 | 169 |

Quadratic Equations containing two or more unknown quantities | 175 |

vii | 251 |

Binomial Equations | 260 |

Equal Roots | 267 |

Transformation by Division | 275 |

General Properties of Equations | 286 |

Sturms Theorem | 297 |

Newtons Method of Approximation | 305 |

Solution of Equations | 314 |

Application of Equations to the Extraction of Roots | 322 |

Interpolation | 330 |