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Mathematical essays and recreations (1910)

Schubert, Hermann, 1848-1911, McCormack, Thomas J. (Thomas Joseph), 1865-1932 · Chicago : The Open court publishing company · leaf 54

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tural order in the squares, thus: Fig. 3. We then leave the numbers in the four corner-squares, viz. i, 4, 13, 16, as well also as the numbers in the four middle-squares, viz. 6, 7, 10, n, in their original places ; and in the place of the remaining eight numbers, we write the complements of the… … from which the same sum 34 always results. It is an interesting property of this square that any four numbers which form a rectangle or square about the centre also always give the same sum 34 ; for example, i, 4, 13, 16, or 6, 7, 10, n, or 15, 14, 3, 2, or 12, 9, 5, 8,.

Mathematics -- Philosophy · Magic squares · Hyperspace · Circle-squaring

Internet Archive · University of California Libraries · Public domain (published before 1931). Free to use for anything.

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