Did Euclid's circles have two kinds of radius?
type: Item
instance of: scholarly article
title: Did Euclid's circles have two kinds of radius?
zbMATH Open document ID: 0947.01003
author: Chr. Marinus Taisbak
author: David Fowler
published in: Historia Mathematica
publication date: 2000-11-02T00:00:00Z
review text: The authors make the important point that Euclid's Elements, in contrast to his Data, deal with mathematics in the world of ideas, not in the material world of reality. Therefore, they (as well as Archimedes and Apollonius) use the instrumental dative of διάστημα ``distance'' as equivalent of what would be a real life opening of a compass for a circle to be drawn but the expression ``the (line) drawn from the center'' as term for the radius of a circle whose existence was already proved.
Mathematics Subject Classification ID: 01A20
Mathematics Subject Classification ID: 00A30
zbMATH DE Number: 1417500
zbMATH Keywords: distance
zbMATH Keywords: world of ideas
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: hmat.1999.2254
OpenAlex ID: W2156409192
cites work: Q3261383
cites work: Q5636801
DOI: 10.1006/HMAT.1999.2254
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description: scientific article; zbMATH DE number 1417500