Vlll 



TABLE OF CONTENTS 



Chapter III. Geometrical Recreations. 



F-A8E 



Geometrical Fallacies 44 



Paradoxical Problems 62 



Map- Colouring Theorem 54 



Physical Configuration of a Country 69 



Addendum on a Solution 61 



Chapter IV. Geometrical Recreations (Continued). 



Statical Games of Position 62 



Three-in-a-row. Extension to p-in-a-row 62 



Tesselation. Anallagmatio Problems 64 



Colour- Cube Problem 67 



Tangrams 69 



Dynamical Games of Position 69 



Shunting Problems 69 



Ferry-Boat Problems 71 



Geodesic Problems 73 



Problems with Counters or Pawns 74 



Geometrical Puzzles with Bods 80 



Paradromic Kings 80 



Addendum on Solutions 81 



Chapter V. Mechanical Recreations. 



Paradoxes on Motion 84 



Laws of Motion 87 



Force, Inertia. Centrifugal Force 87 



Work. Stability of Equilibrium 89 



Perpetual Motion 93 



Models 97 



Sailing quicker than the wind 98 



Boat Moved by a Bope inside the Boat 101 



Hauksbee's Law 101 



Cut on Tennis-Balls, Cricket-Balls, Golf-Balls 103 



Flight of Birds . 106 



Ouriosa Physica . . . 107 



Chapter VI. Chess-Board Recreations. 



Chess-Board Notation 

 Belative Value of the Pieces 

 The Eight Queens Problem 

 Maximnm Pieces Problem . 

 Minimum Pieces Problem . 

 Analogous Problems 



109 

 110 

 113 

 119 

 119 

 121 



