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On the role of imaginary elements in 19th-century geometry - MaRDI portal

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On the role of imaginary elements in 19th-century geometry (Q2762236)

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scientific article; zbMATH DE number 1687357
Language Label Description Also known as
English
On the role of imaginary elements in 19th-century geometry
scientific article; zbMATH DE number 1687357

    Statements

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    4 February 2002
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    imaginary elements
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    Plücker's theorem
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    Laguerre's formula
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    Erlanger program
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    On the role of imaginary elements in 19th-century geometry (English)
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    In this paper, the author is concerned with the role of imaginaries in geometry. The titles of the sections, namely, ``Imaginaries as ghosts: Poncelet and Steiner'', ``Staudt's theory of imaginaries'' and ``Imaginaries after von Staudt: Lie and Klein'' indicate the approach he has taken to give a detailed survey of the topic. This fills somewhat, a gap in the historical studies on classical nineteenth-century geometry.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00008].
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