Synthetic and analytic geometries in the publications of Jakob Steiner and Julius Plücker (1827–1829)

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• 作者：Jemma Lorenat
• 刊名：Archive for History of Exact Sciences
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：70
• 期：4
• 页码：413-462
• 全文大小：1,771 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  History of Mathematics
  Mathematics
  Physics
  Mathematical and Computational Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0657
• 卷排序：70

文摘

In their publications during the 1820s, Jakob Steiner and Julius Plücker frequently derived the same results while claiming different methods. This paper focuses on two such results in order to compare their approaches to constructing figures, calculating with symbols, and representing geometric magnitudes. Underlying the repetitive display of similar problems and theorems, Steiner and Plücker redefined synthetic and analytic methods in distinctly personal practices.Communicated by : Jeremy Gray.Research for this article was made possible through the generous assistance of the École Polytechnique archives in Palaiseau, the Hochschularchiv of the Eidgenössische Technische Hochschule in Zürich, and the National Research Council of Canada archives in Ottawa.