The Trisectors (Spectrum) 2nd Edition

by Underwood Dudley (Author)

3 customer reviews

ISBN-13: 978-0883855140

ISBN-10: 0883855143

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Underwood Dudley is well known for his collection of books on mathematical cranks. Here he offers yet another - angle trisectors. It is impossible to trisect angles with straightedge and compass alone, but many people try and think they have succeeded. This book is about angle trisections and the people who attempt them. According to Dudley: 'Hardly any mathematical training is necessary to read this book. There is a little trigonometry here and there, but it may be safely skipped. There are hardly any equations. There are no exercises and there will be no final examination. The worst victim of mathematics anxiety can read this book with profit and dry palms. It is quite suitable to give as a present.'

The Trisectors (Spectrum)

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Product Details

Series: Spectrum
Paperback: 202 pages
Publisher: The Mathematical Association of America; 2nd edition (September 1996)
Language: English
ISBN-10: 0883855143
ISBN-13: 978-0883855140
Product Dimensions: 6 x 0.6 x 9 inches
Shipping Weight: 8.8 ounces (View shipping rates and policies)
Average Customer Review: 4.0 out of 5 stars See all reviews (3 customer reviews)
Amazon Best Sellers Rank: #887,554 in Books (See Top 100 in Books)
- #323 in Books > Humor & Entertainment > Puzzles & Games > Math Games
- #827 in Books > Science & Math > Mathematics > Geometry & Topology
- #6405 in Books > Textbooks > Science & Mathematics > Mathematics

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5 of 5 people found the following review helpful

A must read for all trisectors!

By JO SEVENFIVETHREE on February 17, 2012

Format: Paperback Verified Purchase

Dr. Underwood Dudley seems to have a love/hate relation to trisectors; he has pursued the subject for decades, even visiting some of the people, avidly collects trisection attempts, yet constantly derides them and vehemently discourages anybody from trying to trisect an angle. His picture on the back of the book is perfect. He appears to be restraining a curled lip of disgust as he speaks with a typical trisector.

He classifies trisecting as a disease, so maybe his obsession is a mutated form of it? This is how the virus manifests in a Ph.D. mathematician.

I believe at least part of the motivation for writing the book is Dudley's admiration for Augustus De Morgan, a mathematician of the 1800's who wrote a book about cranks attempting the 3 popular impossibles. Dudley frequently quotes him and named the major section of The Trisectors A Budget of Trisections emulating De Morgan's A Budget of Paradoxes.

As a trisector, I found the book very informative and entertaining. He goes to some lengths to describe and analyze each of the 103+ trisections he has collected from many sources, providing a sketch, construction sequence and resulting level of precision for most, plus a brief story about each of the creators.

A few complaints:

In the first chapters, he often inserts a quotation without warning, leaving one to wonder after a paragraph if it's his statement or another De Morgan quote. Thruout the book, quotes are indicated only by indentation and maybe the preceding sentence.

Much worse is the reduction of all the trisectors names to serialized or alphabetized by last name inititials.Read more ›

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3 of 5 people found the following review helpful

Extreme examples of mathematical stubborness and illiteracy

By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on March 27, 2000

Format: Paperback

...
Lively, entertaining, frustrating and sometimes a majordowner, this book should be read by all who wish to raise the tide ofmathematical literacy.

Published in Journal of Recreational Mathematics, reprinted with permission. END

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1 of 9 people found the following review helpful

Why trisectors may have a point.

By Siavash Sohrab on September 12, 2011

Format: Paperback Verified Purchase

The book by Professor Underwood Dudley is very interesting and enjoyable to read. However, his criticism of all trisectors amongst both professional as well as amateur mathematician since the important 1837 paper of Wantzel is too harsh. It could be argued that since Wantzel (1837) theory involves rational numbers it may not apply to the trisection problem because trisecting angles necessarily involves the important number 3.1415... and hence transcendental numbers that are not roots of polynomials with constant coefficient.

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