On the use of the term diastēma in ancient Greek constructions

Nathan Sidoli

doi:10.1016/j.hm.2003.08.003

On the use of the term diastēma in ancient Greek constructions

Nathan Sidoli^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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 language	English
Pages (from-to)	2-10
Number of pages	9
Journal	Historia Mathematica
Volume	31
Issue number	1
DOIs	https://doi.org/10.1016/j.hm.2003.08.003
Publication status	Published - 2004 Feb
Externally published	Yes

Keywords

Archimedes
Autolycus
Construction
Diastēma
Euclid
Radius
Theodosius

ASJC Scopus subject areas

Mathematics(all)
History

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10.1016/j.hm.2003.08.003

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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.",

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KW - Radius

KW - Theodosius

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On the use of the term diastēma in ancient Greek constructions

Abstract

Keywords

ASJC Scopus subject areas

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