Page:Mathematical recreations and essays (IA mathematicalrecr00ballrich).pdf/12

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TABLE OF CONTENTS
Chapter III. Geometrical Recreations.
PAGE
Geometrical Fallacies. 44
Paradoxical Problems 52
Map-Colouring Theorem 54
Physical Configuration of a Country 59
Addendum on a Solution 61
Chapter IV. Geometrical Recreations (Continued).
Statical Games of Position 62
Extension to p-in-a-row 62
Tesselation. Anallagmatic 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 Rods 80
Paradromic Rings 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 Rope inside the Boat 101
Hauksbee's Law 101
Cut on Tennis-Balis, Cricket-Balls, Golf-Balls 103
Flight of Birds 106
Curiosa Physica 107
Chapter VI. Chess-Board Recreations.
Chess-Board Notation 109
Relative Value of the Pieces 110
The Eight Queens Problem 113
Maximum Pieces Problem 119
Minimum Pieces Problem 119
Analogous Problems 121
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