The thirteen books of Euclid's ElementsVolume 1 of 3volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Includes 2,500 years of critical commentary. Total in set: 995 figures. 
From inside the book
100 pages matching commensurable in square in this book
Where's the rest of this book?
Results 13 of 100
What people are saying  Write a review
User ratings
5 stars 
 
4 stars 
 
3 stars 
 
2 stars 
 
1 star 

LibraryThing Review
User Review  donbuch1  LibraryThingThis classic series represents the Western canon not without academic controversy. The latest volumes of the Great Books include some women writers, but they are still definitely underrepresented ... Read full review
LibraryThing Review
User Review  rylltraka  LibraryThingThe texts themselves are priceless, but the translations in this volume are seriously dated and often obscure the meaning of the Greek  especially worthy of disdain are the Aristophanes translations ... Read full review
Contents
DEFINITIONS  260 
HISTORICAL NOTE  365 
HISTORICAL NOTE  438 
Copyright  
2 other sections not shown
Other editions  View all
The Thirteen Books of Euclid's Elements, Volume 3 Euclid,Sir Thomas Little Heath Limited preview  1956 
Common terms and phrases
area a medial base binomial straight line bisected circle ABCD circle EFGH commensurable in length commensurable in square cone cube cut in extreme cylinder decagon Deff diameter dodecahedron equiangular equilateral Euclid extreme and mean greater segment Hence icosahedron inscribed irrational straight line joined Lemma let the square magnitudes mean ratio measure medial area medial straight line medial whole parallelepipedal solids parallelogram pentagon perpendicular plane angles plane of reference polygon prism PROPOSITION proved ratio triplicate rational and incommensurable rational area rational straight line rectangle AC rectangle contained right angles second apotome side similar Similarly sixth binomial solid angle solid CD sphere square number squares on AC straight lines commensurable surable triangle twice the rectangle vertex whence