## A Treatise On AlgebraReprint of the original, first published in 1842. |

### Contents

PRINCIPLES of arithmetical algebra | 1 |

On the theory of the fundamental operations in arithmetic | 52 |

CHAPTER III | 130 |

On ratios and proportions | 154 |

On the solution of equations | 205 |

CHAPTER VI | 275 |

CHAPTER VIII | 325 |

CHAPTER IX | 337 |

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### Common terms and phrases

a₁ arith arithmetical algebra arithmetical series coefficient complete quotient consequently considered continued fraction continued product converging fractions corresponding cube denoted determined divided dividend division divisor equal equation equivalent expressed final digit finite number following are examples geometric series geometrical given greater identical inasmuch indeterminate equations involve known terms last Article last digit least common multiple less magnitudes means metical minuend modulus multiplicand multiplied number of combinations number of days number of permutations number of terms operation ordinary preceding primary unit primitive problem proposition quadratic quadratic equations quadratic surds quantities ratio recurring decimal reduced replace represent resolvend respectively result rule scale shewn similar manner simultaneous equations square root subordinate units subtract subtrahend surds Symbolical Algebra third tion Transposing unknown numbers unknown symbols whole number zero