The Thirteen Books of Euclid's Elements, Volume 3Volume 3 of threevolume 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; classical, medieval, Renaissance and modern commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 3 includes Books 1013: Commensurable magnitudes, solids, cones, cylinders. 
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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
I  1 
II  10 
III  14 
IV  17 
V  20 
VI  22 
VII  24 
VIII  26 
LXVI  142 
LXVII  143 
LXVIII  145 
LXIX  147 
LXX  149 
LXXI  150 
LXXII  151 
LXXIII  155 
IX  28 
XII  31 
XIII  33 
XIV  34 
XV  36 
XVI  37 
XVII  39 
XVIII  40 
XIX  41 
XX  45 
XXI  47 
XXII  49 
XXIII  51 
XXIV  53 
XXV  55 
XXVI  56 
XXVII  58 
XXVIII  60 
XXIX  61 
XXX  66 
XXXI  68 
XXXII  69 
XXXIII  71 
XXXIV  75 
XXXV  78 
XXXVI  80 
XXXVII  83 
XXXVIII  84 
XXXIX  85 
XL  87 
XLI  88 
XLII  89 
XLIII  92 
XLIV  94 
XLV  95 
XLVI  98 
XLVII  99 
XLIX  101 
L  102 
LI  104 
LII  106 
LIII  109 
LIV  110 
LV  112 
LVI  116 
LVII  120 
LVIII  124 
LIX  125 
LX  128 
LXI  130 
LXII  132 
LXIII  135 
LXIV  137 
LXV  139 
LXXIV  158 
LXXV  159 
LXXVI  161 
LXXVII  163 
LXXVIII  164 
LXXIX  165 
LXXX  167 
LXXXI  168 
LXXXII  170 
LXXXIII  172 
LXXXIV  173 
LXXXV  174 
LXXXVI  177 
LXXXVII  178 
LXXXVIII  180 
LXXXIX  181 
XC  184 
XCI  186 
XCII  188 
XCIII  190 
XCIV  194 
XCV  199 
XCVI  203 
XCVII  206 
XCVIII  209 
XCIX  212 
C  215 
CI  218 
CII  221 
CIII  224 
CIV  227 
CV  229 
CVI  231 
CVII  232 
CVIII  233 
CIX  234 
CX  235 
CXI  236 
CXII  238 
CXIII  240 
CXIV  243 
CXV  248 
CXVI  252 
CXVII  254 
CXVIII  255 
CXIX  260 
CXX  272 
CXXI  365 
CXXII  436 
CXXIII  438 
CXXIV  508 
CXXVI  515 
523  
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Common terms and phrases
applied area a medial 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 medial area medial straight line medial whole parallelepipedal solids parallelogram pentagon perpendicular plane angles plane of reference polygon prism proposition proved pyramid ABCG ratio triplicate rational and incommensurable rational area rational straight line rectangle AC rectangle contained remainder right angles second apotome side Similarly solid angle solid CD square number square on AB squares on AC straight lines commensurable surable triangle twice the rectangle vertex whence