Mathematical Recreation and Essays Book PDF, ePub eBook

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Book Descriptions:
TABLE OF CONTENTS. PART I. Mathematical Recreations. Chapter I. Some Arithmetical Questions. PAGE Elementary Questions on Numbers (Miscellaneous) . . . . . . 4 Arithmetical Fallacies . . . . . . . . . . . . . . . . . . . . . . 20 Bachet‘s Weights Problem . . . . . . . . . . . . . . . . . . . . 27 Problems in Higher Arithmetic . . . . . . . . . . . . . . . . . 29 Fermat‘s Theorem on Binary Powers . . . . . . . . . . . . 31 Fermat‘s Last Theorem . . . . . . . . . . . . . . . . . . . . 32 Chapter II. Some Geometrical Questions. Geometrical Fallacies . . . . . . . . . . . . . . . . . . . . . . . 35 Geometrical Paradoxes . . . . . . . . . . . . . . . . . . . . . . 42 Colouring Maps . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Physical Geography . . . . . . . . . . . . . . . . . . . . . . . 46 Statical Games of Position . . . . . . . . . . . . . . . . . . . . 48 Three-in-a-row. Extension to p-in-a-row . . . . . . . . . 48 Tesselation. Cross-Fours . . . . . . . . . . . . . . . . . . 50 Colour-Cube Problem . . . . . . . . . . . . . . . . . . . . 51 vi TABLE OF CONTENTS. vii PAGE Dynamical Games of Position . . . . . . . . . . . . . . . . . . 52 Shunting Problems . . . . . . . . . . . . . . . . . . . . . . 53 Ferry-Boat Problems . . . . . . . . . . . . . . . . . . . . . 55 Geodesic Problems . . . . . . . . . . . . . . . . . . . . . . 57 Problems with Counters placed in a row . . . . . . . . . . 58 Problems on a Chess-board with Counters or Pawns . . . . 60 Guarini‘s Problem . . . . . . . . . . . . . . . . . . . . . . 63 Geometrical Puzzles (rods, strings, &c.) . . . . . . . . . . . . 64 Paradromic Rings . . . . . . . . . . . . . . . . . . . . . . . . . 64 Chapter III. Some Mechanical Questions. Paradoxes on Motion . . . . . . . . . . . . . . . . . . . . . . . 67 Force, Inertia, Centrifugal Force . . . . . . . . . . . . . . . . . 70 Work, Stability of Equilibrium, &c. . . . . . . . . . . . . . . . 72 Perpetual Motion . . . . . . . . . . . . . . . . . . . . . . . . . 75 Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 Sailing quicker than the Wind . . . . . . . . . . . . . . . . . . 79 Boat moved by a rope inside the boat . . . . . . . . . . . . . 81 2 Results dependent on Hauksbee‘s Law . . . . . . . . . . . . . 82 Cut on a tennis-ball. Spin on a cricket-ball . . . . . . . 83 Flight of Birds

Mathematical Recreation and Essays by Nikos Karagiannis

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