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## Details

Genre/Form: | Early works Early works to 1800 |
---|---|

Named Person: | Euclid.; Euclides.; Euclides |

Document Type: | Book |

All Authors / Contributors: |
C M Taisbak; Euclid. |

ISBN: | 8772898151 9788772898155 |

OCLC Number: | 54678011 |

Language Note: | English and Greek. |

Notes: | Includes errata leaf. |

Description: | 271 pages : illustrations ; 25 cm. |

Contents: | The Foundation -- The Plane -- Three questions and one -- Six parallel statements -- Latent Co-actors -- Mathematicians Unemployed or Admitted Tools? -- The Helping Hand -- By geometrical methods -- Magnitude -- Starting Points -- Circles -- Magnitudes by a Given Greater -- Lines and Direction -- Magnitudes and Ratio I. Dt 1-9 -- Four Axiomatic Fundamentals -- Metamorphoses of Ratios -- By a Given Greater than in Ratio. Dt 10-21 -- Definition 11 -- Synopsis of Dt 10-21 -- Magnitudes and Ratio II. Dt 22-24 -- Position. Distance, Direction, Parallels. Dt 25-38 -- Form. Triangles and Polygons. Dt 39-55 -- Definition 3 -- Dt 55 The Main Theorem? -- Triangles -- Equiangular parallelograms I. Reciprocal proportion. Dt 56 -- Application of areas I. Dt 57-62 -- Ratio and Angles. Dt 63-67 -- Equiangular parallelograms II. Reciprocal proportion. Dt 68-75 -- Duplicates and Outsiders. Dt 76-83 -- Application of areas. II. Dt 84-85 -- Intersecting Hyperbolas. H.G. Zeuthen and Dt 86 -- Circles. Dt 87-94 -- Marinus' Commentary -- Synopsis of Dt 39 and I.22 -- Deductive Structure of Dt 1-9 -- Deductive Structure of Dt 10-24 -- Deductive Structure of Dt 25-38 -- Deductive Structure of Dt 39-55 -- Deductive Structure of Dt 56-67 -- Deductive Structure of Dt 68-83 -- Deductive Structure of Dt 84-94. |

Series Title: | Acta historica scientiarum naturalium et medicinalium, v. 45. |

Other Titles: | Euclid's Data Importance of being given |

Responsibility: | the Greek text translated and explained by Christian Marinus Taisbak. |

### Abstract:

"Euclid's Data - The Importance of Being Given is a scholarly contribution to an area - the history of Greek geometrical analysis - that is still insufficiently understood. At the time of Zeuthen, and even up to the middle of the last century, it was fashionable to treat the Data algebraically. Taisbak has abandoned this approach completely, arguing that it does nothing to help us understand either the development of the work or the reasons for its having been copied, studied, and quoted for more than 2 millennia. We must bear a queer sort of frustration that affects us everywhere in the Data: we get very little information, hardly any 'knowledge' of the givens. And why not? Probably because 'knowing' geometrical objects was problematic in those days when the concept of 'given' came into being, and the consequences of incommensurability was just being understood. Next to nothing is known of these items, and very little that is worth knowing: length, size, distance, - any of the attributes that can be spoken of by means of numbers." "The book is meant as a coherent and understandable account of what could have been going on in Euclid's mind, and some reasons for believing that is what actually was going on in his mind."--BOOK JACKET.

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