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Episodes in Nineteenth and Twentieth Century Euclidean Geometry (Anneli Lax New Mathematical Library, Series Number 37)

by Ross Honsberger (Author)
5.0 5.0 out of 5 stars 7 ratings
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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 synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.
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  1. ISBN-10
    0883856395
  2. ISBN-13
    978-0883856390
  3. Publisher
    The Mathematical Association of America
  4. Publication date
    September 5, 1996
  5. Language
    English
  6. Dimensions
    6.25 x 0.5 x 9.25 inches
  7. Print length
    188 pages
  8. See all details
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Editorial Reviews

From the Back Cover

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 synthetic methods easily accessible to students of Euclidean geometry early on. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.

Product details

  • Publisher ‏ : ‎ The Mathematical Association of America (September 5, 1996)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 188 pages
  • ISBN-10 ‏ : ‎ 0883856395
  • ISBN-13 ‏ : ‎ 978-0883856390
  • Item Weight ‏ : ‎ 9.9 ounces
  • Dimensions ‏ : ‎ 6.25 x 0.5 x 9.25 inches
  • Customer Reviews:
    5.0 5.0 out of 5 stars 7 ratings

Customer reviews

5 out of 5 stars
5 out of 5
We don’t use a simple average to calculate the overall star rating and percentage breakdown by star. Our system gives more weight to certain factors—including how recent the review is and if the reviewer bought it on Amazon. Learn more
7 global ratings

Top reviews from the United States

Robert J. Fisher Jr
5.0 out of 5 stars Excellent Purchase
Reviewed in the United States on March 20, 2024
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The hardcover book was in excellent condition. I was pleased with the purchase.
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sadi a abu saymeh
5.0 out of 5 stars Excellent book
Reviewed in the United States on September 13, 2019
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I used it for teaching and research
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JoJoBeans
5.0 out of 5 stars Book for Class
Reviewed in the United States on April 20, 2013
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Had to buy this book for my Geometry class. It was delivered quickly. Unfortunately we didn't even use it in class but it's still a great resource!
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Bobby Poon (bobbypwh@hotmail.com)
5.0 out of 5 stars A great geometry book for Olympiad training!
Reviewed in the United States on July 13, 1999
Ross Honsberger presents the articles of modern euclidean geometric properties in a way that is easy to follow and understand. The method of proofs and development of ideas illustrate different solving strategies which is valuable for self-studying young students. With the help of simple diagrams, I found no difficulties in understanding the articles. Problems are well-graded with solutions are well-presented at the back. A MUST-READ book for students participating maths contest!
11 people found this helpful
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Frederic Hagopian
5.0 out of 5 stars La géométrie et ses trésors
Reviewed in France on May 16, 2009
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Livre remarquable à tout point de vue , à lire comme si vous partiez
pour explorer une planète inconnue, disons que vous avez déjà fréquentée , mais sans en avoir vraiment soupçonné les trésors: la géométrie de Grand-Papa, qui requiert tout à la fois de la réflexion et surtout de l'imagination....
Qualités toujours d'actualité.....et quelle que le domaine envisagé...
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