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Episodes in Nineteenth and Twentieth Century Euclidean Geometry

1 rating: 5.0
A book by Ross Honsberger

Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely … see full wiki

Author: Ross Honsberger
Genre: Science
Publisher: The Mathematical Association of America
1 review about Episodes in Nineteenth and Twentieth Century...

A honeypot of sweet problems in geometry

  • Feb 22, 2000
Geometry is such a sweet science and this book is a honeypot. Ross Honsberger is one of the best in creating crafty, delightful problems. In reading this book, you will be amazed at how hard the problems appear when stated and how simple and elegant the proofs are.
Some topics are relatively obscure. I am sure that Honsberger is quite correct in stating that few modern mathematicians have heard of the symmedian point of a triangle. I certainly had not. However, the level of the material is such that even teachers of high school geometry will be able to find some suitable exercises. College instructors will find it essential. Problems are given at the end of each chapter and detailed solutions are included in an appendix.
It is hard to read this book and not understand why the Greeks were so captivated by geometry. Properly presented, as is done here, it is addictive.

Published in Smarandache Notions Journal, reprinted with permission.

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