# Introduction and books 1,2 (Google eBook)

The University Press, 1908 - Mathematics, Greek

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The book is probably excellent; T. L. Heath was a very good writer, however this particular scan is 99% useless. The text is cropped severly making it impossible to read. Also, it appears that it is credited to Heiberg, rather than Heath, which is less than accurate. Why spend all the time to scan a book if you don't care about making the scans readable?

### Contents

 INTRODUCTION 1 Definitions i 71 Introductory note 112 THE ELEMENTS 146 Definitions Postulates Common Notions 153 Introductory note 187
 345 204 VOLUME III 219 Definitions 260 Historical note 365 Definitions 370 lDdenda et Corrigenda 521 373

### Popular passages

Page 402 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 218 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Page 307 - If two triangles have two sides of the one equal to two sides of the...
Page 202 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Page 218 - In any triangle, the sum of the three angles is equal to two right angles, or 180°.
Page 176 - A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line.
Page 181 - When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.
Page 315 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 190 - Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction.
Page 259 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.

### References from web pages

Heath: <i>The thirteen books of Euclid's Elements</i> Preface
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The 47th Problem of Euclid | Masonic significance
The 47th Problem of Euclid, its esoteric characteristics, not its mathematical properties are the source of its - PS Review of Freemasonry
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Euclid - Wikipedia, the free encyclopedia
The Thirteen Books of Euclid's Elements, Vol. 1 (2nd ed.). New York: Dover Publications. ISBN 0-486-60088-2: includes extensive commentaries on Euclid and ...
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Did Euclid Need the Euclidean Algorithm to Prove Unique Factorization?
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