## The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry TeachingCelebrating a century of geometry and geometry teaching, this book will give the reader an enjoyable insight into all things geometrical. There are a wealth of popular articles including sections on Pythagoras, the golden ratio and recreational geometry. Historical items, drawn principally from the Mathematical Gazette, are authored by mathematicians such as G.H. Hardy, Rouse Ball, Thomas Heath and Bertrand Russell as well as some more recent expositors. Thirty 'Desert Island Theorems' from distinguished mathematicians and educationalists give light to some surprising and beautiful results. Contributors include H.S.M. Coxeter, Michael Atiyah, Tom Apostol, Solomon Golomb, Keith Devlin, Nobel Laureate Leon Lederman, Carlo Se;quin, Simon Singh, Christopher Zeeman and Pulitzer Prizewinner Douglas Hofstadter. The book also features the wonderful Eyeball Theorems of Peruvian geometer and web designer, Antonio Gutierrez. For anyone with an interest in mathematics and mathematics education this book will be an enjoyable and rewarding read. |

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### Contents

III | xv |

IV | 5 |

V | 16 |

VI | 23 |

VII | 25 |

VIII | 27 |

X | 29 |

XI | 34 |

LXIV | 230 |

LXVI | 232 |

LXIX | 235 |

LXXI | 237 |

LXXIII | 239 |

LXXVI | 243 |

LXXIX | 250 |

LXXXII | 261 |

XII | 43 |

XIV | 45 |

XVII | 63 |

XVIII | 80 |

XXI | 82 |

XXIV | 90 |

XXVI | 105 |

XXIX | 109 |

XXXI | 120 |

XXXIII | 126 |

XXXVI | 136 |

XXXVII | 140 |

XXXVIII | 161 |

XL | 163 |

XLI | 165 |

XLII | 167 |

XLIII | 175 |

XLIV | 177 |

XLVII | 181 |

L | 183 |

LI | 187 |

LII | 189 |

LIII | 199 |

LIV | 210 |

LV | 212 |

LVI | 214 |

LVII | 218 |

LIX | 223 |

LXI | 224 |

LXIII | 226 |

LXXXIV | 262 |

LXXXVII | 264 |

LXXXVIII | 266 |

XCI | 273 |

XCIV | 279 |

XCVII | 281 |

XCVIII | 285 |

C | 287 |

CIII | 288 |

CVI | 289 |

CIX | 293 |

CXII | 295 |

CXIII | 300 |

CXVI | 305 |

CXIX | 314 |

CXXII | 319 |

CXXIII | 331 |

CXXVI | 338 |

CXXVIII | 353 |

CXXIX | 355 |

CXXXI | 358 |

CXXXIV | 360 |

CXXXVI | 364 |

CXXXIX | 367 |

CXLI | 390 |

CXLIV | 393 |

CXLVIII | 400 |

CLI | 404 |

CLIII | 411 |

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### Common terms and phrases

algebra angles appears application Association base called centre century circle colour consider construction contains corresponding course curves definition Desargues determined drawing edges elements equal equation Euclid Euclidean example faces fact Figure four Gazette geometry given gives golden Greek hexagon ideas important interesting introduction known length mathematicians mathematics means measure meet method move Note obtained original parallel particular patterns pentagon physical pieces plane possible practical problem produced projective proof properties propositions proved published pupils Pythagoras question ratio reasoning rectangle References regular relation result segment shape shown shows sides similar simple solid solution space sphere sphinx square Stage straight line surfaces teachers teaching Theorem theory triangle University vertices volume whole