## Apollonius of Perga's Conica: Text, Context, SubtextThis volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's "Conica," It provides a long overdue alternative to H.G. Zeuthen's "Die Lehre von den Kegelschnitten im Altertum," The central part of the volume contains a historically sensitive analysis and interpretation of the entire "Conica," both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the "Conica" in paricular and Greek mathematics in general. Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians. |

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### Contents

Geometrical Algebra | 17 |

Figures | 52 |

Book V of | 146 |

Book VI of the Conica | 221 |

Elementary | 364 |

Some Circumscribed Reflections on | 390 |

English Translation of Book IV | 413 |

487 | |

495 | |

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### Common terms and phrases

added algebraic analogy ancient angle Apollonius Apollonius's appear applied asymptotes axes axis base beginning Book VII chapter circle circumference clear coincide concerning cone conic sections conjugate consider constructed contained course curve defined definition demonstration diagram diameter discussion draw Elements ellipse equal equation Euclid example fact fall figure follows four geometrical given gives greater half Heath History hyperbola important intersect joined kind latus rectum less letter lines drawn mathematics maximum means meet mentioned minimum line namely normals opposite sections original parabola parallel pass perpendicular plane position possible present problem produced proof properties propositions proved question ratio reason rectangle refers respectively segments side similar square straight line surface taken tangent theorems things tion Toomer touch translation transverse triangle understanding vertex whole writes