## Mathematical entertainments: a collection of illuminating puzzles, new and old |

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### Contents

CensusTaker Problems | 1 |

DiophantineType Problems | 8 |

Konigsberg Bridges Design Tracing and Euler | 18 |

Copyright | |

13 other sections not shown

### Common terms and phrases

9-ounce container answer banker Bertrand's Box Paradox bricks calculated Casting Out Nines census taker chosen circle circle of latitude coconuts coffee column consider counters cubes curve decimal Desargues determined diagonal diameter digits dikes Diophantine Diophantine equations divided divisible by 9 drawn equation Euclidean Algorithm Euler example false coin Fermat's theorem fraction Grundy's Game integers integral number intersect known large number left pan Martian Martin Gardner mathematical mathematician method Multiplication Theorem Napoleon's Problem number is divisible number of throws numbers ending odd junctions odd number original number ounces pair Petersburg Paradox pile prime number probability proof Pythagorean triplets radius random chord relatively prime remainder represented sg box shown in figure shows side simple solve square straight line three numbers tion total number triads triangle volume weighing Wilkes-Gordon Construction wires write zero