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  • © 1987

The Geometrical Work of Girard Desargues

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  • ISBN: 978-1-4613-8692-6
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Table of contents (9 chapters)

  1. Front Matter

    Pages i-x
  2. The Greek Legacy

    • J. V. Field, J. J. Gray
    Pages 1-13
  3. Applied Geometry

    • J. V. Field, J. J. Gray
    Pages 14-30
  4. The Mathematical Content of the Rough Draft on Conics

    • J. V. Field, J. J. Gray
    Pages 47-59
  5. Translators’ Preface

    • J. V. Field, J. J. Gray
    Pages 60-68
  6. The Rough Draft on Conics (1639)

    • J. V. Field, J. J. Gray
    Pages 69-143
  7. The Perspective (1636)

    • J. V. Field, J. J. Gray
    Pages 144-160
  8. The Three Geometrical Propositions of 1648

    • J. V. Field, J. J. Gray
    Pages 161-169
  9. The Sundial Treatise (1640)

    • J. V. Field, J. J. Gray
    Pages 170-175
  10. Back Matter

    Pages 176-237

About this book

Our main purpose in this book is to present an English translation of Desargues' Rough Draft of an Essay on the results of taking plane sections of a cone (1639), the pamphlet with which the modem study of projective geometry began. Despite its acknowledged importance in the history of mathematics, the work has never been translated before in its entirety, although short extracts have appeared in several source books. The problems of making Desargues' work accessible to modem mathematicians and historians of mathematics have led us to provide a fairly elaborate introduction, and to include translations of other relevant works. The translation ofthe Rough Draft on Conics (as we shall call it) thus appears in Chapter VI, the five preceding chapters forming an introduction and the three following ones giving translations of other works by Desargues. Chapter I briefly reviews parts of ancient geometrical works available to Desargues which seem to be relevant to his own work, namely theorems in Euclid's Elements, the first four books of Apollonius' Conics and some remarks by Pappus in his Collection. These Hellenistic works belong to the 'high' mathematical tradition whose development has been the main theme of all histories of mathematics. It is from these works that Desargues took the theorems whose theory he was to reformulate in the Rough Draft on Conics.

Keywords

  • Apollonius
  • Mathematica
  • Microsoft Access
  • Slate
  • boundary element method
  • development
  • form
  • geometry
  • history of mathematics
  • mathematics
  • projective geometry
  • review
  • story
  • theorem

Authors and Affiliations

  • Science Museum, London, England

    J. V. Field

  • The Open University, Milton Keynes, England

    J. J. Gray

Bibliographic Information

  • Book Title: The Geometrical Work of Girard Desargues

  • Authors: J. V. Field, J. J. Gray

  • DOI: https://doi.org/10.1007/978-1-4613-8692-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1987

  • Softcover ISBN: 978-1-4613-8694-0

  • eBook ISBN: 978-1-4613-8692-6

  • Edition Number: 1

  • Number of Pages: X, 237

  • Number of Illustrations: 8 b/w illustrations

  • Topics: Geometry

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • ISBN: 978-1-4613-8692-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 89.99
Price excludes VAT (USA)