The geometrical work of Girard Desargues
Author(s)
Bibliographic Information
The geometrical work of Girard Desargues
Springer-Verlag, c1987
- : us
- : gw
- Other Title
-
Brouillon project d'une atteinte aux evenmens des rencontres du cone avec un plan
Available at 28 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: usFIE||4||186074387
Note
Includes an English translation of: Brouillon project d'une atteinte aux evenmens des rencontres du cone avec un plan
Bibliography: p. [223]-231
Includes indexes
Description and Table of Contents
Description
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.
Table of Contents
I The Greek Legacy.- II Applied Geometry.- III Mathematical Responses to Desargues' Rough Draft on Conics.- IV The Mathematical Content of the Rough Draft on Conics.- V Translators' Preface.- VI The Rough Draft on Conics (1639).- VII The Perspective (1636).- VIII The Three Geometrical Propositions of 1648.- IX The Sundial Treatise (1640).- Appendix 1 Letter from Descartes to Desargues (19 June 1639).- Appendix 2 Letter from Beaugrand to Desargues (25 July 1639).- Appendix 4 Kepler's Invention of Points at Infinity.- Notes.
by "Nielsen BookData"