E795 -- De quadratis magicis
(On magic squares)
(based on Jordan Bell's abstract)
Euler shows how to construct magic squares with a certain number of cells, in particular 9, 16, 25, and 36. He also considers some general rules for
constructing squares of even and odd orders. He starts with Graeco-Latin squares and puts constraints on the values of the variables so that the result
is a magic square.
According to the statement on p. 593, it was
presented to the St. Petersburg Academy on October 17, 1776.
Originally published in Commentationes arithmeticae 2, 1849, pp. 593-602
Opera Omnia: Series 1, Volume 7, pp. 441 - 457
- Reprinted in Opera postuma 1, 1862, pp. 140-151 [E795a]
- Original publication: E795
- Jordan Bell of Carleton University in Ontario has prepared a translation of E795.
- The Euler Archive attempts to monitor current scholarship for articles and books that may be of interest to Euler Scholars. Selected references we have found that discuss or cite E795 include:
- Ullrich P., “Officers, playing cards, and sheep - on the history of Eulerian squares and of the design of experiments.” Metrika, 56 (3), pp. 189-204 (2002).
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