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The Ancient Methods for the Duplication of the Cube

Published online by Cambridge University Press:  04 November 2009

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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.