Topics in Elementary Geometry

  • Authors
  • O. Bottema

Table of contents

  1. Front Matter
    Pages 1-8
  2. O. Bottema, Reinie Erne
    Pages 1-6
  3. O. Bottema, Reinie Erne
    Pages 1-5
  4. O. Bottema, Reinie Erne
    Pages 1-6
  5. O. Bottema, Reinie Erne
    Pages 1-3
  6. O. Bottema, Reinie Erne
    Pages 1-2
  7. O. Bottema, Reinie Erne
    Pages 1-4
  8. O. Bottema, Reinie Erne
    Pages 1-3
  9. O. Bottema, Reinie Erne
    Pages 1-3
  10. O. Bottema, Reinie Erne
    Pages 1-4
  11. O. Bottema, Reinie Erne
    Pages 1-5
  12. O. Bottema, Reinie Erne
    Pages 1-7
  13. O. Bottema, Reinie Erne
    Pages 1-7
  14. O. Bottema, Reinie Erne
    Pages 1-3
  15. O. Bottema, Reinie Erne
    Pages 1-4
  16. O. Bottema, Reinie Erne
    Pages 1-2
  17. O. Bottema, Reinie Erne
    Pages 1-2
  18. O. Bottema, Reinie Erne
    Pages 1-5

About this book

Introduction

This small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained in this classical field over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating. In a small space the author provides many thought-provoking ideas. This book will fit in well with the increasing interest for geometry in research and education. This book was originally published in Dutch, and this will be the first English translation. This translation also includes a new foreword by Robin Hartshorne.

 

"This highly entertaining book will broaden the reader's historical perspective in an enlightening manner and it provides attractive topics for classroom discussion." -Hendrik Lenstra, Universiteit Leiden

Keywords

Area DEX Pascal addition boundary element method education field function geometry median polygon review selection time university

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-78131-0
  • Copyright Information Springer-Verlag New York 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-78130-3
  • Online ISBN 978-0-387-78131-0
  • About this book