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Mathematical recreations and essays (1911)

Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan and Co., limited · leaf 179

An illustration from Mathematical recreations and essays, 1911, leaf 179
155 CH. VIl] MAGIC SQUARES intersecting sides of two equal concentric squares. It is required to place the first 16 natural numbers on the corners and points of intersection of the sides so that the sum of the numbers on the comer of each square and the sum of the numbers on every i … Magic Star . Figure xv. side of each square is equal to 34. Eighteen fundamental solu¬ tions exist. One of these is given above *. There are magic circles, rectangles, crosses, diamonds, and other figures : also magic cubes, cylinders, and spheres. The theory of the construction of such figures is…

Geometry · Astrology · Space and time · Matter · Magic squares · Mathematical recreations

Internet Archive · University of Illinois Urbana-Champaign · Public domain (published before 1931). Free to use for anything.

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