The role of geometrical construction in Theodosius's Spherics

Nathan Sidoli, Ken Saito

研究成果: Article査読

16 被引用数 (Scopus)

抄録

This paper is a contribution to our understanding of the constructive nature of Greek geometry. By studying the role of constructive processes in Theodoius's Spherics, we uncover a difference in the function of constructions and problems in the deductive framework of Greek mathematics. In particular, we show that geometric problems originated in the practical issues involved in actually making diagrams, whereas constructions are abstractions of these processes that are used to introduce objects not given at the outset, so that their properties can be used in the argument. We conclude by discussing, more generally, ancient Greek interests in the practical methods of producing diagrams.

本文言語English
ページ(範囲)581-609
ページ数29
ジャーナルArchive for History of Exact Sciences
63
6
DOI
出版ステータスPublished - 2009 10 1

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • History and Philosophy of Science

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