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The Thirteen Books of The Elements: Volume 1: Books 1 and 2
 
 
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The Thirteen Books of The Elements: Volume 1: Books 1 and 2 (Paperback)

by Euclid (Author), Sir Thomas Heath (Editor, Translator)
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Product details

  • Paperback: 464 pages
  • Publisher: Dover Publications Inc.; 2nd edition edition (1 Feb 2000)
  • Language English
  • ISBN-10: 0486600882
  • ISBN-13: 978-0486600888
  • Product Dimensions: 19.8 x 13.6 x 2.4 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon.co.uk Sales Rank: 13,556 in Books (See Bestsellers in Books)

    Popular in these categories:

    #3 in  Books > Poetry, Drama & Criticism > Essays, Journals & Letters > Classical, Early & Medieval
    #3 in  Books > Science & Nature > Mathematics > Geometry & Topology
    #4 in  Books > Science & Nature > History & Philosophy > Philosophy of Science > Science

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Front Cover | Table of Contents | Excerpt | Index | Back Cover
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The Thirteen Books of The Elements: Volume 1: Books 1 and 2
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66 of 69 people found the following review helpful:
5.0 out of 5 stars not for the faint of heart..., 24 Oct 2002
Euclid begins by stating a few a definitions and logical rules. 'A line is a breathless length' and 'Things that are equal to the same thing are equal to each other'. The proofs that follow are simple and elegant. The second flowing from the first in a natural sequence. But this is no higgledy piggledy random wandering.

In the first book the author leads the reader to Pythagoras theorem. Just as every statement Euclid makes is essential to the proof, every proof is essential to the book's goal. The clarity and beauty of this book is something to behold

Heath's commentary is a very interesting complement. He provides alternative ancient and modern proofs as well as notes on the historical development of the mathematics.

A word of warning - this book took me about six months to read. I was unable to follow the book without following the proofs with a compass, ruler etc. However, if you are prepared to put in the time the rewards are considerable.

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34 of 40 people found the following review helpful:
5.0 out of 5 stars One of the 10 great scientific books of the last 2000 years, 19 Jul 2001
By Murky Dismal (Cardiff, UK) - See all my reviews
This book is the foundation on which the mathematics is built. It is greatly enhanced by the translator's annotations. If you want to know what mathematics is all about, then you must have this book.
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6 of 7 people found the following review helpful:
5.0 out of 5 stars All Greek to Me., 23 Jan 2009
By Alun Williams "mathematician manqué" (Peterborough,England) - See all my reviews
(REAL NAME)   
Nobody with an interest in Geometry, or the history of Western Civilisation should be without a copy of this book. What you get is far more than just the theorems and proofs to be found in the first two books of Euclid. Indeed, if this is all you want, one of the online versions of Euclid will probably be more to your taste. The book contains a mass of scholarly but fascinating detail on topics such as Euclid's predecessors, contemporary reaction, commentaries by later Greek mathematicians, the work of Arab mathematicians inspired by Euclid, the transmission of the text back to Renaissance Europe, and a list and potted history of the various translations and editions of Euclid from then on. The section on the postulates and axioms (and of course the all-important parallel postulate) is wonderful.

When we come to the actual theorems the amount of detail is just as impressive - references to earlier results are annotated, and textual variations are noted (especially where the proofs may have been amended by later writers in an attempt to correct gaps). In many cases alternative proofs are given - sometimes several different ones, with the history and references for each.
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