On the use of the term diastēma in ancient Greek constructions

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Abstract

I examine the use of the term diastēma by Greek geometers in both plane and spherical constructions. I show that while diastēma may be translated as radius in plane constructions, this will not work on the sphere. These investigations have some implications for how we think of construction in Greek mathematics in general.

Original languageEnglish
Pages (from-to)2-10
Number of pages9
JournalHistoria Mathematica
Volume31
Issue number1
DOIs
Publication statusPublished - 2004 Feb
Externally publishedYes

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Keywords

  • Archimedes
  • Autolycus
  • Construction
  • Diastēma
  • Euclid
  • Radius
  • Theodosius

ASJC Scopus subject areas

  • History
  • Mathematics(all)

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