# Books 10-13 and appendix (Google eBook)

The University Press, 1908 - Mathematics, Greek

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Contents

 Definitions 260 Propositions 272 Historical note 365 Historical note 438
 The socalleD Book XIV by Hypsicles 512 AdDenda et Corrigenda 521 Greek 529 English 535

### Popular passages

Page 310 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 372 - Two unequal magnitudes being set out, if from the greater there be subtracted a magnitude greater than its half, and from that which is left a magnitude greater than its half, and if this process be repeated continually, there will be left some magnitude which will be less than the lesser magnitude set out?
Page 260 - The inclination of a plane to a plane is the acute angle contained by two straight lines drawn from any the...
Page 295 - BAE; and they are in one plane, which is impossible. Also, from a point above a plane, there can be but one perpendicular to that plane ; for, if there could be two, they would be parallel (6. PI.) to one another, which is absurd. Therefore, from the same point, &c.
Page 279 - AB, CD. In like manner, it may be proved, that FE makes right angles with every straight line which meets it in that plane. But a straight line is at right angles to a plane when it makes right angles with every straight line which meets it in that plane : (xi. def. 3.) therefore EF is at right angles to the plane in which are AB, CD. Wherefore, if a straight line, &c.
Page 389 - The upper end of the frustum of a pyramid or cone is called the upper base...
Page 324 - AE is a parallelogram : join AH, DF ; and because AB is parallel to DC, and BH to CF ; the two straight lines AB, BH, which meet one another, are parallel to DC and CF, which meet one another...
Page 294 - To erect a straight line at right angles to a given plane, from a point given in the plane. Let A be the point given in the plane.
Page 304 - And because the plane AB is perpendicular to the third plane, and DE is drawn in the plane AB at right angles to AD their common section...
Page 345 - N. equiangular to one another, each to each, that is, of which the folid angles are equal, each to each ; have to one another the ratio which is the fame with the ratio compounded of the ratios of their fides.

### References from web pages

Heath: <i>The thirteen books of Euclid's Elements</i> Preface
Thomas Heath published The thirteen books of Euclid's Elements in 1909. We quote here the Preface from this First Edition of the work:- ...
www-groups.dcs.st-and.ac.uk/ ~history/ Extras/ Heath_Euclid.html

JSTOR: The Thirteen Books of Euclid's Elements
The Thirteen Books of EUCLID'S Elements. Translated from the text of HEIBERG. With introduction and com- mentary. 3 vols. Vol. I. Introduction and Books I, ...

avaxhome -> ebooks -> Science -> Mathematics -> The Thirteen Books ...
The Thirteen Books of Euclid's Elements ( Books 1 to 13 ) - 3 volume set. Posted By: tot167 | Date: 07 Mar 2008 17:14 | Comments: 1 ...
avaxsphere.com/ ebooks/ science_books/ math/ Euclid_Elements.html

Euclid & The Thirteen Books of Euclid's Elements Discussion Deck
And the brave of heart shall certainly wish to sign their souls aboard The Jolly Roger. Euclid, The Thirteen Books of Euclid's Elements, , and all sail ...
westerncanon.com/ cgibin/ lecture/ Euclidhall/ mobydick.html

The Thirteen Books of Euclid's Elements - Timeline Index
There has never been a writer of mathematics as successful as Euclid. For well over 2000 years the work that Euclid did in compiling The Elements has been ...
www.timelineindex.com/ content/ view/ 783

The thirteen books of Euclid's Elements ; v. 3. Books X-XIII and ...
The thirteen books of Euclid's Elements ; v. 2. Books III-IX por Euclid · The thirteen books of Euclid's Elements ; v. 1. Introduction and books I, ...
www.librarything.es/ work/ 2918024

Euclid's Elements, Euclid
The thirteen books of Euclid's Elements translated from the text of Heiberg with introduction and commentary. Three volumes. University Press, Cambridge ...
aleph0.clarku.edu/ ~djoyce/ java/ elements/ Euclid.html

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
www.freemasons-freemasonry.com/ euclid_unveiled.html

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 ...
en.wikipedia.org/ wiki/ Euclid

Did Euclid Need the Euclidean Algorithm to Prove Unique Factorization?
Did Euclid Need the Euclidean Algorithm to. Prove Unique Factorization? David Pengelley and Fred Richman. 1. INTRODUCTION. The fundamental theorem of ...
www.math.nmsu.edu/ ~davidp/ euclid.pdf