1 The first six Books of the Elements of Euclid 2 front Einband Quelle Titel iii Widmung v INTRODUCTION. vii BOOK I. DEFINITIONS. xviii POSTULATES. xxii AXIOMS. xxii ELUCIDATIONS. xxiv SYMBOLS AND ABBREVIATIONS. xxvii CORRIGENDA. xxix 3 BOOK I. (Forts.) PROPOSITION I. PROBLEM. 1 PROP. II. PROB. 2 PROP. III. PROB. 3 PROP. IV. THEOR. 4 PROP. V. THEOR. 5 PROP. VI. THEOR. 6 PROP. VII. THEOR. 7 PROP. VIII. THEOR. 8 PROP. IX. THEOR. 9 PROP. X. THEOR. 10 PROP. XI. PROB. 11 PROP. XII. PROB. 12 PROP. XIII. THEOR. 13 PROP. XIV. THEOR. 14 PROP. XV. THEOR. 15 PROP. XVI. THEOR. 16 PROP. XVII. THEOR. 17 PROP. XVIII. THEOR. 18 PROP. XIX. THEOR. 19 PROP. XX. THEOR. 20 PROP. XXI. THEOR. 21 PROP. XXII. THEOR. 22 PROP. XXIII. PROB. 23 PROP. XXIV. THEOR. 24 PROP. XXV. THEOR. 25 PROP. XXVI. THEOR. 26 PROP. XXVII. THEOR. 28 PROP. XXVIII. THEOR. 29 PROP. XXIX. THEOR. 30 PROP. XXX. THEOR. 31 PROP. XXXI. THEOR. 32 PROP. XXXII. THEOR. 33 PROP. XXXIII. THEOR. 34 PROP. XXXIV. THEOR. 35 PROP. XXXV. THEOR. 36 PROP. XXXVI. THEOR. 37 PROP. XXXVII. THEOR. 38 PROP. XXXVIII. THEOR. 39 PROP. XXXIX. THEOR. 40 PROP. XL. THEOR. 41 PROP. XLI. THEOR. 42 PROP. XLII. THEOR. 43 PROP. XLIII. THEOR. 44 PROP. XLIV. PROB. 45 PROP. XLV. PROB. 46 PROP. XLVI. PROB. 47 PROP. XLVII. THEOR. 48 PROP. XLVIII. THEOR. 50 4 BOOK II. 51 DEFINITION I. 51 DEFINITION II. 52 PROP. I. PROB. 53 PROP. II. THEOR. 54 PROP. III. THEOR. 55 PROP. IV. THEOR. 56 PROP. V. PROB. 58 PROP. VI. THEOR. 60 PROP. VII. THEOR. 61 PROP. VIII. THEOR. 62 PROP. IX. THEOR. 63 PROP. X. THEOR. 64 PROP. XI. THEOR. 66 PROP. XII. THEOR. 67 PROP. XIII. THEOR. 68 PROP. XIV. PROB. 70 5 BOOK III. 71 DEFINITIONS. 71 PROP. I. PROB. 74 PROP. II. THEOR. 75 PROP. III. THEOR. 76 PROP. IV. THEOR. 77 PROP. V. THEOR. 78 PROP. VI. THEOR. 79 PROP. VII. THEOR. 80 PROP. XIII. THEOR. 82 PROP. IX. THEOR. 85 PROP. X. THEOR. 86 PROP. XI. THEOR. 87 PROP. XII. THEOR. 89 PROP. XIII. THEOR. 90 PROP. XIV. THEOR. 92 PROP. XV. THEOR. 94 PROP. XVI. THEOR. 96 PROP. XVII. THEOR. 98 PROP. XVIII. THEOR. 100 PROP. XIX. THEOR. 101 PROP. XX. THEOR. 102 PROP. XXI. THEOR. 104 PROP. XXII. THEOR. 105 PROP. XXIII. THEOR. 106 PROP. XXIV. THEOR. 107 PROP. XXV. PROB. 108 PROP. XXVI. THEOR. 109 PROP. XXVII. THEOR. 111 PROP. XXVIII. THEOR. 112 PROP. XXIX. THEOR. 113 PROP. XXX. THEOR. 114 PROP. XXXI. THEOR. 115 PROP. XXXII. THEOR. 117 PROP. XXXIII. PROB. 118 PROP. XXXIV. PROB. 119 PROP. XXXV. THEOR. 120 PROP. XXXVI. THEOR. 121 PROP. XXXVII. THEOR. 122 6 BOOK IV. 123 DEFINITIONS. 123 PROP. I. PROB. 125 PROP. II. PROB. 126 PROP. III. PROB. 127 PROP. IV. PROB. 129 PROP. V. PROB. 130 PROP. VI. PROB. 131 PROP. VII. PROB. 132 PROP. VIII. PROB. 133 PROP. IX. PROB. 134 PROP. X. PROB. 136 PROP. XI. PROB. 137 PROP. XII. PROB. 138 PROP. XIII. PROB. 140 PROP. XIV. PROB. 142 PROP. XV. PROB. 143 PROP. XVI. PROB. 144 7 BOOK V. 145 DEFINITIONS. 145 AXIOMS. 146 PROP. I. THEOR. 147 PROP. II. THEOR. 148 PROP. III. THEOR. 149 DEFINITION V. 151 PROP. IV. THEOR. 155 PROP. V. THEOR. 156 PROP. VI. THEOR. 157 PROP. A. THEOR. 158 DEFINITION XIV. 158 PROP. B. THEOR. 159 PROP. C. THEOR. 160 PROP. D. THEOR. 163 PROP. VII. THEOR. 165 DEFINITION VII. 166 PROP. VIII. THEOR. 169 PROP. IX. THEOR. 173 PROP. X. THEOR. 174 PROP. XI. THEOR. 175 PROP. XII. THEOR. 176 PROP. XIII. THEOR. 177 PROP. XIV. THEOR. 178 PROP. XV. THEOR. 179 DEFINITION VIII. 180 PROP. XVI. THEOR. 181 DEFINITION XVI. 182 PROP. XVII. THEOR. 183 DEFINITION XV. 184 PROP. XVIII. THEOR. 185 PROP. XIX. THEOR. 186 PROP. E. THEOR. 187 DEFINITIO XVIII. 187 DEFINITION XIX. 188 DEFINITION XX. 189 PROP. XX. THEOR. 190 PROP. XXI. THEOR. 191 PROP. XXII. THEOR. 193 PROP. XXIIII. THEOR. 196 PROP. XXIV. THEOR. 198 PROP. XXV. THEOR. 199 DEFINITION X. 200 DEFINITION XI. 200 DEFINITION A. 201 PROP. F. THEOR. 203 PROP. G. THEOR. 205 PROP. H. THEOR. 206 PROP. K. THEOR. 208 8 BOOK VI. 211 DEFINITIONS 211 PROP. I. THEOR. 212 PROP. II. THEOR. 214 PROP. III. THEOR. 216 PROP. IV. THEOR. 218 PROP. V. THEOR. 220 PROP. VI. THEOR. 222 PROP. VII. THEOR. 224 PROP. VIII. THEOR. 226 PROP. IX. PROB. 227 PROP. X. PROB. 228 PROP. XI. PROB. 229 PROP. XII. PROB. 230 PROP. XIII. PROB. 231 PROP. XIV. THEOR. 232 PROP. XV. THEOR. 234 PROP. XVI. THEOR. 236 PROP. XVII. THEOR. 238 PROP. XVIII. THEOR. 239 PROP. XIX. THEOR. 241 PROP. XX. THEOR. 243 PROP. XXI. THEOR. 246 PROP. XXII. THEOR. 247 PROP. XXIII. THEOR. 249 PROP. XXIV. THEOR. 250 PROP. XXV. PROB. 251 PROP. XXVI. THEOR. 253 PROP. XXVII. THEOR. 254 PROP. XXVIII. THEOR. 255 PROP. XIX. THEOR. 257 PROP. XXX. THEOR. 258 PROP. XXXI. THEOR. 259 PROP. XXXII. THEOR. 260 PROP. XXXIII. THEOR. 261 PROP. A. THEOR. 263 PROP. B. THEOR. 264 PROP. C. THEOR. 266 PROP. D. THEOR. 267 9 back