## Geometry Civilized: History, Culture, and TechniqueThis lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections. |

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### Contents

An old story | 8 |

From points to proof | 49 |

Tricks with triangles | 84 |

Many cheerful facts about the square of the hypotenuse | 143 |

From polygons to pi | 189 |

Tough knots | 269 |

297 | |

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### Common terms and phrases

AABC ABCD according algebra altitudes appears applied approximation Archimedes base bisector bisects calculation called century Chinese chord circle circumference common construction corresponding demonstration diagonal diameter difference distance divide draw drop earth Elements equal equation Euclid example Exercise expression extended feet figure follows Further geometry given gives Greek half height Hence hexagon indicated inscribed intersection isosceles Join length less mathematics measure meet method obtain opposite parallel parallelogram perpendicular plane practical problem proof proposition prove Pythagorean quadrilateral radius ratio rectangle right angle right triangle sides similar triangles sines square straight line Table tangent theorem third touching triangle units vertical whence write