## Mathematical recreationsThis collection of unusual puzzles, problems, and demonstrations, each accompanied by its solution and analysis, proves that mathematics can be an entertaining and thought-provoking pastime |

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### Contents

Chapter One MATHEMATICS WITHOUT | 13 |

Chapter Two ANCIENT AND CURIOUS | 22 |

PAGE | 43 |

Copyright | |

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algebraic angles Answer arithmetical arrangement automorphic bers bimagic square binary Black called captured cards cells chess chessboard Chinese rings color cubes cyclic cyclic permutations decimal denote digits Diophantus disk divided divisible divisor dominoes example Fermat figurate numbers four ft ft fundamental square give given number Hence Heronian triangles hypotenuse integers intersection Latin square lattice magic constant magic series magic square main diagonal metical modulo move multiple of 9 number formed obtained occupy orthogonal pairs panmagic square pawns permutation pieces pile play limit player polygons possible prime number primitive right triangle probability problem punter queens remaining respect result rows and columns scale of notation side solutions square of order stack strategic position Suppose symmetric third throwing tion tl fl total number trigonometric functions vertical White