## The Works of ArchimedesThe complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. This edition offers an informative introduction with many valuable insights into the ancient mathematician's life and thought as well as the views of his contemporaries. Modern mathematicians, physicists, science historians, and logicians will find this volume a source of timeless fascination. Unabridged reprint of the classic 1897 edition, with supplement of 1912. |

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### Contents

I | xv |

II | xxiii |

III | xxxix |

IV | xl |

V | xlvii |

VI | lii |

VII | liv |

VIII | lxvii |

XXIII | cxi |

XXIV | cxiii |

XXV | cxxiii |

XXVI | cxlii |

XXVII | clv |

XXVIII | 1 |

XXIX | 56 |

XXX | 91 |

IX | lxviii |

X | lxix |

XI | lxxi |

XII | lxxii |

XIII | lxxiii |

XIV | lxxiv |

XV | lxxvii |

XVI | lxxx |

XVII | lxxxiv |

XVIII | xc |

XIX | c |

XX | cv |

XXI | cvii |

XXII | cx |

XXXI | 98 |

XXXII | 99 |

XXXIII | 151 |

XXXIV | 189 |

XXXV | 203 |

XXXVI | 221 |

XXXVII | 233 |

XXXVIII | 253 |

XXXIX | 263 |

XL | 301 |

XLI | 319 |

XLII | 326 |

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### Common terms and phrases

Apollonius Archimedes axis base equal bisecting centre of gravity chord circumference circumscribed figure cone cone ABB cone AEF cone whose base conic conies conoid Conoids and Spheroids cubic equation curve cylinder or frustum described divided draw drawn ellipse equal height equilibrium Euclid Eutocius fluid follows geometrical given ratio gnomon greater Greek height equal Hence hyperbola hyperboloid hypothesis inscribed figure intersection Join lemma length less magnitudes mean proportional meet method middle point Pappus parabola parabolic segment paraboloid parallel parallelogram perpendicular polygon prism problem produced proof Prop Proposition Proposition 13 proved pyramid radius rectangle regular polygon respectively revolution rhombus right angles sector segment ABB segmt semicircle side similar Similarly solid figure solution solved Sphere and Cylinder spheroid spiral square straight line Suppose surface tangent term theorems touch trapezium triangle vertex volume whence