E795  De quadratis magicis
(On magic squares)
Summary:
(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 GraecoLatin 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.
Publication:

Originally published in Commentationes arithmeticae 2, 1849, pp. 593602

Opera Omnia: Series 1, Volume 7, pp. 441  457
 Reprinted in Opera postuma 1, 1862, pp. 140151 [E795a]
Documents Available:
 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. 189204 (2002).
Return to the Euler Archive