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Mathematical recreations and essays (1920)

Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 220

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can construct a complementary equal triangle, fourpoints further on, having 7,8, 2 for its vertices. All the points inthe figure are now joined, and form the three triplets for the firstday, namely {k. 1. 5), (3. 4. 6), (7. 8. 2). It is only necessaryto rotate the figure one step at a time in order… … Figure i. The next case to which the method is applicable is whenM = 27, m = 1, y = 13. Proceeding as before, the 27 girls mustbe arranged with one of them, k^ at the centre and the other 26on the circumference of a circle. The diameter (1. k. 14) givesthe first triplet on the first day. To obtain…

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

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