## A Short Hstory of of Greek Mathematics |

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### Contents

PART I | 1 |

SECTION | 7 |

Primitive expression of fractions | 10 |

8486 | 16 |

GREEK ARITHMETIC | 22 |

26 | 28 |

89 90 | 29 |

SECTION | 30 |

Quadrature of circle by Antiphon and Bryson | 104 |

115 | 116 |

PREHISTORIC AND EGYPTIAN GEOMETRY 123133 | 123 |

Mechanics and machines of Archimedes | 129 |

GREEK GEOMETRY TO EUCLID | 134 |

Lost works of Apollonius | 135 |

Plato and his mathematical teaching | 183 |

Menaechmus and the later Academics | 192 |

95 | 39 |

Nomenclature and multiplication of Apollonius | 41 |

Euclids Arithmetica Book II of the Elements | 47 |

Theory of Combinations | 54 |

Thymaridas | 62 |

GREEK GEOMETRY | 72 |

SECTION | 73 |

Rise of the Sophists | 97 |

121 | 199 |

137 | 265 |

141 | 271 |

145 | 280 |

FROM GEMINUS TO PTOLEMY | 287 |

LAST YEARS | 302 |

317 | |

### Common terms and phrases

according added algebraical alphabet angle Apollonius appears applied Arabic Archimedes arithmetical attributed base begins calculation called Cambridge Cantor century circle cited common conic contains cube definitions described diameter Diophantus divided division doubt drawn early edition Egyptian equal equations Euclid evidence examples expression fact figure fingers four fractions geometry given gives greater Greek hand instance interest introduced invented Italy kind known late later less mathematics means measure mentioned method multiplied Nesselmann Notes numbers observed original Pappus perhaps plane Plato polygonal practice probably problem Proclus produced proof Prop proportion propositions proved Pythagoras Pythagorean quoted ratio reference remains represented root rule says seems side signs similar solution square straight line suggested supposed symbolism taken Thales theorem theory translation treated triangle University whole writer written