**
30** | Inferences on the forms of roots of equations and of their orders |

**153** | A double demonstration of a theorem of Newton, which gives a relation between the coefficient of an algebraic equation and the sums of the powers of its roots |

**157** | On the extraction of roots from irrational quantities |

**170** | Research on imaginary roots of equations |

**282** | On the resolution of equations of any order |

**310** | New method to eliminate the unknown quantities in equations |

**370** | A new criteria for acquiring the imaginary roots of equations |

**395** | On finding however many mean proportionals without regard to extraction of roots |

**406** | Observations about the roots of equations |

**407** | An algebraic problem that is notable for some quite extraordinary relations |

**
450** | Nova ratio quantitates irrationales proxime exprimendi |

**532** | On the remarkable properties of a series of Lambert and others |

**540** | A new method for resolving all rational fractions into simpler fractions |

**631** | An easy and clear analysis for guiding those most abstruse series, by which not only the roots but even the powers of the roots of all algebraic equations are able to be expressed |

**632** | On innumerable types of most remarkable series, by which not only the roots but even too any power of the roots of all algebraic equations are able to be expressed |

**643** | A general method for investigating all the roots of an equation by approximation |

**644** | Innumerable forms of equations from all orders, of which a resolution is able to be exhibited |

**711** | A new and easy method for expressing for all algebraic equations not only their roots but also the powers of them by constructing series |

**728** | On the resolution of composite fractions into simpler ones |

**794** | A theorem of arithmetic and its proof |

**
808** | An algebraic problem of finding four numbers with the sum of the three others |

**819** | Continuation of some fragments taken from the Mathematics day book |