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TWO MAGIC SQUARES.Constructed by a German Mathematicianof the Last Century* /Here are two magic squares that show some interesting features. They were constructed by Euler, in 1759:23is11625! 1 . 10 j 5 ! 24V I t -*171219 * 22 ! 13! *47•14 | 9 j! ‘3i -211612015i8a3Tn this square we begin with 1 in the lower leftrhand corner. The other numbers are placed just as a knight would mov^ on a chess-board, viz.: two squares one way and one the other. The last number, 25, -comes in the opposite or^ upper right-hand comer. Another curious feature of this squareis the fact that the sum of any two numbers on opposite - sides and equidistant from the center figure, is its double. The, middle number is 18; 23+3 —26, twice 13; 5+21—26; twice 13; 19+7 ■^30; 22+4—20, and so on.■(80216i15,28*197%16I 29205*1422i81885^182798617a26134m28! al9► ■»11■jr25i.10* •839’ ' *24lt;3-12!■ 4, In the above-even square the figures are again placed .as a nigh^movcs, ant the . Jmight reti irns to its starting point inasquare'of 6. In' this square « the: difference be’tVs een the pairs. otnumbers opposite stb and equidistant from the middie pint isalways 18.The si am the pumhers^ all the [
Newspaper Details
Biloxi Herald
Biloxi, Mississippi, US
Mon, Dec 25, 1893
Page 2
Full Page
Clipped by
Anonymous
USA 20 Oct 2022
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