The geometrical work of Girard Desargues
著者
書誌事項
The geometrical work of Girard Desargues
Springer-Verlag, c1987
- : us
- : gw
- タイトル別名
-
Brouillon project d'une atteinte aux evenmens des rencontres du cone avec un plan
大学図書館所蔵 全28件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
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
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より