The Geometrical Work of Girard Desargues / edited by Judith V. Field, Jeremy Gray
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 1987. |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 1987 |
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| 書誌ID | OB01019265 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 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. License restrictions may limit access Summary: 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 |
| 著者標目 | Field, Judith V Gray, Jeremy SpringerLink (Online service) |
| 件 名 | LCSH:Geometry FREE:Geometry |
| 分 類 | LCC:QA440-699 DC23:516 |
| 巻冊次 | ISBN:9781461386926 RefWorks出力（各巻） print ; ISBN:9781461386940 RefWorks出力（各巻） print ; ISBN:9780387964034 RefWorks出力（各巻） print ; ISBN:9781461386933 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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