Books 3-9 (Google eBook)

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The University Press, 1908 - Mathematics, Greek
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Page 34 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Page 65 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Page 37 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of...
Page 234 - Prove that similar triangles are to one another in the duplicate ratio of their homologous sides.
Page 64 - From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; (i.
Page 209 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Page 90 - EF at right angles (9. 1.) to AB, AC ; DF, EF produced meet one another : for, if they do not meet, they are parallel, wherefore AB, AC, which are at right angles to them, are parallel ; which is absurd : let them meet in F, and join FA ; also, if the point F be not in BC, join BF, CF : then, because AD is equal to DB, and DF common, and at right angles to AB, the base AF is equal (4.
Page 80 - In a given circle to place a straight line, equal to a given straight line which is not greater than the diameter of the circle. Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle.
Page 212 - ... be parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the sides of the triangle ABC : BD is to DA, as CE to EA. Join BE, CD ; Then the triangle BDE is equal to the triangle CDE*, * .i.
Page 95 - In the same manner, it may be demonstrated that the straight lines EC, ED, are each of them equal to EA or EB ; therefore the four straight lines EA, EB, EC, ED, are equal to one another ; and the circle described from the centre E, at the distance of one of them, shall pass through the extremities of the other three, and be described about the square ABCD.

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, ...
links.jstor.org/ sici?sici=0021-1753(192803)10%3A1%3C60%3ATTBOEE%3E2.0.CO%3B2-B

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

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