Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T05:35:46.398Z Has data issue: false hasContentIssue false

The Ancient Methods for the Duplication of the Cube

Published online by Cambridge University Press:  04 November 2009

Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The object of the present paper is merely to exhibit the methods employed by the ancient Greek geometers in their solution of this celebrated problem. A critical discussion of these methods, of the origin of the problem, and perhaps also an account of more recent researches and a notice of the literature connected therewith may form the subject of a subsequent paper.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1885

References

page 8 note * This addition to Pappus's figure is left to be made by the reader. The point N here is different from the point N spoken of in the last sentenoe of Pappus's solution.

page 9 note * Eutocius is, as far as I know, the only ancient author who mentions this geometer.

page 16 note * The parallelogram is lettered ABCL in Eutocius, ABCD in Pappus. The Greek letters for D and L are easily confounded.