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Introduction

Ross Honsberger
Affiliation:
University of Waterloo
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Summary

Mathematics today isn't just one subject, it's dozens of subjects. In the last hundred years, and particularly in the last fifty, our knowledge has increased at an unprecedented rate, and it is only right that our school curriculum has evolved in the light of the new discoveries. It is with some regret, however, that we have had to let go of many beautiful old problems of synthetic geometry.

About 1875, Euclidean geometry experienced a meteoric revival that saw hundreds of marvelous new results published in the next half century. Two outstanding books in this field are Nathan Altschiller Court's College Geometry and Roger Johnson's Advanced Euclidean Geometry; also, anyone attracted to geometry will be sure to enjoy Coxeter and Greitzer's Geometry Revisited.

Synthetic geometry is obviously a chain subject, and although many of the new results are of an elementary nature, they often concern fairly complicated configurations and can only be approached comfortably after substantial preliminary discussion; assuredly any effort directed toward their appreciation is always well rewarded. Fortunately, a good number of these delightful little gems can be enjoyed by recalling just a few well-known theorems and deriving an occasional preliminary result.

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Publisher: Mathematical Association of America
Print publication year: 1995

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  • Introduction
  • Ross Honsberger, University of Waterloo
  • Book: Episodes in Nineteenth and Twentieth Century Euclidean Geometry
  • Online publication: 05 January 2012
  • Chapter DOI: https://doi.org/10.5948/UPO9780883859513.004
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  • Introduction
  • Ross Honsberger, University of Waterloo
  • Book: Episodes in Nineteenth and Twentieth Century Euclidean Geometry
  • Online publication: 05 January 2012
  • Chapter DOI: https://doi.org/10.5948/UPO9780883859513.004
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Ross Honsberger, University of Waterloo
  • Book: Episodes in Nineteenth and Twentieth Century Euclidean Geometry
  • Online publication: 05 January 2012
  • Chapter DOI: https://doi.org/10.5948/UPO9780883859513.004
Available formats
×