## Classics in the History of Greek MathematicsThe twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects. |

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### Contents

I | 1 |

II | 3 |

III | 19 |

IV | 45 |

V | 81 |

VI | 111 |

VII | 113 |

VIII | 115 |

XVII | 255 |

XVIII | 257 |

XIX | 265 |

XX | 275 |

XXI | 285 |

XXII | 329 |

XXIII | 331 |

XXIV | 337 |

IX | 139 |

X | 169 |

XI | 185 |

XII | 187 |

XIII | 191 |

XIV | 211 |

XV | 233 |

XVI | 243 |

XXV | 367 |

XXVI | 381 |

XXVII | 383 |

XXVIII | 385 |

XXIX | 433 |

XXX | 447 |

XXXI | 451 |

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### Common terms and phrases

Akhmim anderen Anfang Apollonius Arabic Archimedes Archytas Aristotle arithmetic axiomatic axioms Babylonian Babylonian mathematics Becker Behauptung Beweis beweisen Book Buch century computational Conics construction definition diameter Diophantus discovery of incommensurability eigentlich Eleatic Elem equal equations erst ersten Euclid Euclid's Elements Euclidean Eudoxus example existential expression fractions Frage geometric algebra geometrischen gerade Geschichte given Greek geometry Greek mathematics Griechen griechischen Mathematik Heath Hippasus Hippocrates Hippocrates of Chios History of Greek ibid iiber incommensurability instance interpretation Jahrhundert Knorr konnen konnte Logik mathe mathematicians mathematischen method modern namlich NEUGEBAUER notation Pappus papyri philosophy Plato postulates problems procedure Proclus proof proportion propositions Pythagoras Pythagoreans quadratic ratio rectangle Satze schon Science scribe segments solution solved square number straight line symbolism Szabo T. L. Heath Tannery Thales Theaetetus theorems theory tion tradition translation triangle unit-fractions van der Waerden Waerden Wissenschaft Zahl Zahlen Zeit Zeuthen