Page:Amusements in mathematics.djvu/11

CONTENTS.

1. Preface ................................................................................................................................................................................................................................................................................................................................................................................................

   vii

2. Arithmetical and Algebraical Problems—

3. Money Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

   I

4. Age and Kinship Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

   6

5. Clock Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

   9

6. Locomotion and Speed Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

   11

7. Digital Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

   13

8. Various Arithmetical and Algebraical Problems ................................................................................................................................................................................................................................................................................................................................................................................................

   17

9. Geometrical Problems—

10. Dissection Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    27

11. Greek Cross Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    28

12. Various Dissection Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    35

13. Patchwork Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    46

14. Various Geometrical Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    49

15. Points and Lines Problems ................................................................................................................................................................................................................................................................................................................................................................................................

    56

16. Moving Counter Problems ................................................................................................................................................................................................................................................................................................................................................................................................

    58

17. Unicursal and Route Problems ................................................................................................................................................................................................................................................................................................................................................................................................

    68

18. Combination and Group Problems ................................................................................................................................................................................................................................................................................................................................................................................................

    76

19. Chessboard Problems—

20. The Chessboard ................................................................................................................................................................................................................................................................................................................................................................................................

    85

21. Statical Chess Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    88

22. The Guarded Chessboard ................................................................................................................................................................................................................................................................................................................................................................................................

    95

23. Dynamical Chess Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    96

24. Various Chess Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    105

25. Measuring, Weighing, and Packing Puzzles ................................................................................................................................................................................................................................................................................................................................................................................................

    109

26. Crossing River Problems ................................................................................................................................................................................................................................................................................................................................................................................................

    112

27. Problems concerning Games ................................................................................................................................................................................................................................................................................................................................................................................................

    114

28. Puzzle Games ................................................................................................................................................................................................................................................................................................................................................................................................

    117

29. Magic Square Problems ................................................................................................................................................................................................................................................................................................................................................................................................

    119

30. Subtracting, Multiplying, and Dividing Magics ................................................................................................................................................................................................................................................................................................................................................................................................

    124

31. Magic Squares of Primes ................................................................................................................................................................................................................................................................................................................................................................................................

    125

32. Mazes and how to thread Them ................................................................................................................................................................................................................................................................................................................................................................................................

    127

33. The Paradox Party ................................................................................................................................................................................................................................................................................................................................................................................................

    137

34. Unclassified Problems ................................................................................................................................................................................................................................................................................................................................................................................................

    142

35. Solutions ................................................................................................................................................................................................................................................................................................................................................................................................

    148

36. Index ................................................................................................................................................................................................................................................................................................................................................................................................

    253