Geometry with Applications and Proofs

Advanced Geometry for Senior High School, Student Text and Background Information

Authors:

ISBN: 978-94-6209-860-2 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-vi

    1. No Access

      Chapter

      Pages 1-7

      Geometry between Application and Proof, a General Introduction

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      Chapter

      Pages 9-22

      Geometry, Classical Topics and New Applications

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      Chapter

      Pages 23-39

      Given: Circle with Butterfly or: How Do You Learn Proving?

  2. Distances, edges and domains

    1. Front Matter

      Pages 41-41

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      Chapter

      Pages 43-59

      Voronoi diagrams

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      Chapter

      Pages 61-79

      Reasoning with distances

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      Chapter

      Pages 81-91

      Computer practical Voronoi diagrams

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      Chapter

      Pages 93-105

      A special quadrilateral

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      Chapter

      Pages 107-127

      Exploring isodistance lines

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      Chapter

      Pages 129-139

      Shortest paths

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      Chapter

      Pages 141-172

      Example solutions

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      Chapter

      Pages 173-181

      Worksheets Part I

  3. Thinking in circles and lines

    1. Front Matter

      Pages 183-183

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      Chapter

      Pages 185-193

      Using what you know

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      Chapter

      Pages 195-205

      The circle scrutinized

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      Chapter

      Pages 207-218

      Finding proofs

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      Chapter

      Pages 219-230

      Conjectures on Screen

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      Chapter

      Pages 231-239

      Proving conjectures

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      Chapter

      Pages 241-249

      Clues for chapter 3 and 5

  4. Conflict lines and reflections

    1. Front Matter

      Pages 251-251

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      Chapter

      Pages 253-253

      Preface

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      Chapter

      Pages 255-270

      Edge and conflict

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      Chapter

      Pages 271-299

      Parabola, ellipse and hyperbola

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