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Mathematical recreations and essays (1922)

Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 221

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y of the values [1], [2], [3], [4), [5], [6], and each value must be used twice. On examination it will be found that there are only two possible groupings, namely [1, 1, 2], [2, 4, 6], [8, 3, 6], [5, 5, 4], and [1, 2, 3], [1, 4, 5], [3, 5, 6], [2, 4, 6]. One of the solutions to which the first set… … Figure ii, Figure iii. second set leads to solutions defined by the triplets (4. 1. 8), (4. 5. 7), (13. 14. 9), (3. 6.11), (10. 12. 2), or by the triplets (k. 1. 8), (6. 7. 9), (8. 4.13), (5.11. 14), (10. 12. 2): in these solutions all the triangles used are scalene. If any one of these three sets…

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