Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-10T19:28:49.140Z Has data issue: false hasContentIssue false

On the Derived Cuboid of an Eulerian Triple

Published online by Cambridge University Press:  20 November 2018

E. Z. Chein*
Affiliation:
Department of Mathematics the Pennsylvania State University, University Park, Pennsylvania16802
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.

One of the interesting mathematical problems is whether the system of four Diophantine equations

1

2

has a solution in x, y, z, I, m, n, w. To this day the problem has not been shown to be impossible, nor has it been solved.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Spohn, W.G., On the integral cuboid, Amer. Math. Monthly, 79 (1972), 57-59.Google Scholar
2. Spohn, W.G., On the derived cuboid, Canad. Math. Bull. 17 (1974), no. 4, 575-577.Google Scholar
3. Pocklington, H.C., Some Diophantine impossibilities, Proc. Cambridge Phil. Soc, 17 (1914), 110-118.Google Scholar