1 | quapropter illud quod congregatur ex angulis sex erit equale angulis | VIEW AND COMPARE |
2 | quatuor rectis. Et similiter hexagoni implent superficiem cum aliquis | VIEW AND COMPARE |
3 | punctus fuerit communis tribus hexagonis, quoniam quilibet angulus | VIEW AND COMPARE |
4 | eorum erit rectus et tertia recti; pentagonus autem et heptagonus et | VIEW AND COMPARE |
5 | alie figure impossibile est ut impleant superficiem cum illud quod | VIEW AND COMPARE |
6 | congregatur ex suis angulis aut est minus quatuor rectis aut magis, | VIEW AND COMPARE |
7 | verbi gratia quod si tres pentagoni congregentur in eodem puncto, | VIEW AND COMPARE |
8 | proveniunt illic tres anguli recti et tres quinte unius recti, et si fuerint | VIEW AND COMPARE |
9 | quatuor, fient illic quatuor recti et quatuor quinte unius recti. | VIEW AND COMPARE |
10 | Figurarum vero quinque corporalium equilaterarum impossibile | VIEW AND COMPARE |
11 | est ut impleant locum nisi due tantum, quoniam cum in uno puncto | VIEW AND COMPARE |
12 | se secentur tres linee in longitudine et latitudine et profundo super | VIEW AND COMPARE |
13 | angulos rectos, fient illic octo anguli corporales, et quilibet eorum est | VIEW AND COMPARE |
14 | tres recti et est angulus cubi, ex quibus vero congregantur cum com- | VIEW AND COMPARE |
15 | ponuntur octo anguli ut anguli cubi aut equales eis implent locum | VIEW AND COMPARE |
16 | necessario, et si maius aut minus congregetur, non implebunt locum. | VIEW AND COMPARE |
17 | Et sic non invenitur ex quinque figuris famosis quod impleant | VIEW AND COMPARE |
18 | locum nisi due tantum quas predixit, quoniam cum aliquis punctus | VIEW AND COMPARE |
19 | fuerit positus communis octo cubis, implebunt locum necessario, et | VIEW AND COMPARE |
20 | similiter cum fuerit communis duodecim piramidibus, anguli enim | VIEW AND COMPARE |
21 | sex piramidales sunt equales angulis quatuor cuborum, quoniam | VIEW AND COMPARE |
22 | angulus piramidis solidus est ex duobus rectis et angulus cubi ex tri- | VIEW AND COMPARE |
23 | bus. Erunt igitur tres anguli piramidis equales duobus angulis cubo- | VIEW AND COMPARE |
24 | rum, cum sint equales sex angulis rectis; proportio enim anguli pira- | VIEW AND COMPARE |
25 | midis ad quatuor cubicos est sicut proportio anguli trianguli ad | VIEW AND COMPARE |
26 | quatuor rectos, cum angulus trianguli sint due tertie recti. | VIEW AND COMPARE |
27 | Et cum consideraverimus figuras residuas scilicet icocedron et | VIEW AND COMPARE |
28 | duodecedron et octocedron, non invenientur implere locum, cum | VIEW AND COMPARE |
29 | non congregetur ex eis equale octo angulis cubicis, verbi gratia quia | VIEW AND COMPARE |
30 | angulus icocedron est ex tribus rectis et tertia unius, impossibile est | VIEW AND COMPARE |
31 | ut producantur duodecim recti qui sunt quatuor anguli cubici, et | VIEW AND COMPARE |
Averroes, Commentum super libro de celo et mundo, transl. Michael Scotus. Digital copy of Averrois Cordubensis commentum magnum super libro De celo et mundo Aristotelis, edd. Francis Carmody, Rüdiger Arnzen (Recherches de Théologie et Philosophie médiévales. Bibliotheca 4), Leuven: Peeters, 2003. Cologne: Digital Averroes Research Environment (DARE), 2012. URI: dare.uni-koeln.de/app/fulltexts/FT19 .
Liber 1 | Page: 1 | |
-Prologus | Page: 1 | |
-Textus/Commentum [1] | Page: 2 | |
-Textus/Commentum [2] | Page: 4 | |
-Textus/Commentum [3] | Page: 7 | |
-Textus/Commentum [4] | Page: 9 | |
-Textus/Commentum [5] | Page: 11 | |
-Textus/Commentum [6] | Page: 12 | |
-Textus/Commentum [7] | Page: 15 | |
-Textus/Commentum [8] | Page: 16 | |
-Textus/Commentum [9] | Page: 17 | |
-Textus/Commentum [10] | Page: 19 | |
-Textus/Commentum [11] | Page: 20 | |
-Textus/Commentum [12] | Page: 20 | |
-Textus/Commentum [13] | Page: 21 | |
-Textus/Commentum [14] | Page: 21 | |
-Textus/Commentum [15] | Page: 21 | |
-Textus/Commentum [16] | Page: 22 | |
-Textus/Commentum [17] | Page: 23 | |
-Textus/Commentum [18] | Page: 23 | |
-Textus/Commentum [19] | Page: 25 | |
-Textus/Commentum [20] | Page: 25 | |
-Textus/Commentum [21] | Page: 28 | |
-Textus/Commentum [22] | Page: 29 | |
-Textus/Commentum [23] | Page: 29 | |
-Textus/Commentum [24] | Page: 32 | |
-Textus/Commentum [25] | Page: 34 | |
-Textus/Commentum [26] | Page: 36 | |
-Textus/Commentum [27] | Page: 39 | |
-Textus/Commentum [28] | Page: 41 | |
-Textus/Commentum [29] | Page: 48 | |
-Textus/Commentum [30] | Page: 49 | |
-Textus/Commentum [31] | Page: 50 | |
-Textus/Commentum [32] | Page: 51 | |
-Textus/Commentum [33] | Page: 51 | |
-Textus/Commentum [34] | Page: 52 | |
-Textus/Commentum [35] | Page: 53 | |
-Textus/Commentum [36] | Page: 54 | |
-Textus/Commentum [37] | Page: 56 | |
-Textus/Commentum [38] | Page: 57 | |
-Textus/Commentum [39] | Page: 58 | |
-Textus/Commentum [40] | Page: 61 | |
-Textus/Commentum [41] | Page: 65 | |
-Textus/Commentum [42] | Page: 68 | |
-Textus/Commentum [43] | Page: 72 | |
-Textus/Commentum [44] | Page: 75 | |
-Textus/Commentum [45] | Page: 76 | |
-Textus/Commentum [46] | Page: 77 | |
-Textus/Commentum [47] | Page: 84 | |
-Textus/Commentum [48] | Page: 86 | |
-Textus/Commentum [49] | Page: 88 | |
-Textus/Commentum [50] | Page: 89 | |
-Textus/Commentum [51] | Page: 90 | |
-Textus/Commentum [52] | Page: 90 | |
-Textus/Commentum [53] | Page: 93 | |
-Textus/Commentum [54] | Page: 94 | |
-Textus/Commentum [55] | Page: 95 | |
-Textus/Commentum [56] | Page: 98 | |
-Textus/Commentum [57] | Page: 99 | |
-Textus/Commentum [58] | Page: 100 | |
-Textus/Commentum [59] | Page: 101 | |
-Textus/Commentum [60] | Page: 102 | |
-Textus/Commentum [61] | Page: 102 | |
-Textus/Commentum [62] | Page: 103 | |
-Textus/Commentum [63] | Page: 105 | |
-Textus/Commentum [64] | Page: 106 | |
-Textus/Commentum [65] | Page: 108 | |
-Textus/Commentum [65/66] | Page: 109 | |
-Textus/Commentum [66/67] | Page: 110 | |
-Textus/Commentum [67/68] | Page: 113 | |
-Textus/Commentum [68/69] | Page: 115 | |
-Textus/Commentum [69/70] | Page: 116 | |
-Textus/Commentum [70/71] | Page: 116 | |
-Textus/Commentum [71/72] | Page: 117 | |
-Textus/Commentum [72/73] | Page: 119 | |
-Textus/Commentum [73/74] | Page: 120 | |
-Textus/Commentum [74/75] | Page: 122 | |
-Textus/Commentum [75/76] | Page: 124 | |
-Textus/Commentum [76/77] | Page: 126 | |
-Textus/Commentum [77/78] | Page: 128 | |
-Textus/Commentum [78/79] | Page: 129 | |
-Textus/Commentum [79/80] | Page: 130 | |
-Textus/Commentum [80/81] | Page: 131 | |
-Textus/Commentum [81/82] | Page: 131 | |
-Textus/Commentum [82/83] | Page: 132 | |
-Textus/Commentum [83/84] | Page: 134 | |
-Textus/Commentum [84/85] | Page: 135 | |
-Textus/Commentum [85/86] | Page: 136 | |
-Textus/Commentum [86/87] | Page: 137 | |
-Textus/Commentum [87/88] | Page: 139 | |
-Textus/Commentum [88/89] | Page: 140 | |
-Textus/Commentum [89/90] | Page: 141 | |
-Textus/Commentum [90/91] | Page: 142 | |
-Textus/Commentum [91/92] | Page: 143 | |
-Textus/Commentum [92/93] | Page: 143 | |
-Textus/Commentum [93/94] | Page: 144 | |
-Textus/Commentum [94/95] | Page: 146 | |
-Textus/Commentum [95/96] | Page: 149 | |
-Textus/Commentum [96/97] | Page: 150 | |
-Textus/Commentum [97/98] | Page: 153 | |
-Textus/Commentum [98/99] | Page: 154 | |
-Textus/Commentum [99/100] | Page: 154 | |
-Textus/Commentum [100/101] | Page: 155 | |
-Textus/Commentum [101/102] | Page: 156 | |
-Textus/Commentum [102/103] | Page: 158 | |
-Textus/Commentum [103/104] | Page: 159 | |
-Textus/Commentum [104/105] | Page: 160 | |
-Textus/Commentum [105/106] | Page: 161 | |
-Textus/Commentum [106/107] | Page: 163 | |
-Textus/Commentum [107/108] | Page: 165 | |
-Textus/Commentum [108/109] | Page: 168 | |
-Textus/Commentum [109/110] | Page: 173 | |
-Textus/Commentum [110/111] | Page: 174 | |
-Textus/Commentum [111/112] | Page: 175 | |
-Textus/Commentum [112/113] | Page: 175 | |
-Textus/Commentum [113/114] | Page: 177 | |
-Textus/Commentum [114/115] | Page: 179 | |
-Textus/Commentum [115/116] | Page: 180 | |
-Textus/Commentum [116/117] | Page: 181 | |
-Textus/Commentum [117/118] | Page: 182 | |
-Textus/Commentum [118/119] | Page: 184 | |
-Textus/Commentum [119/120] | Page: 186 | |
-Textus/Commentum [120/121] | Page: 187 | |
-Textus/Commentum [121/122] | Page: 192 | |
-Textus/Commentum [122/123] | Page: 194 | |
-Textus/Commentum [123/124] | Page: 197 | |
-Textus/Commentum [124/125] | Page: 198 | |
-Textus/Commentum [125/126] | Page: 200 | |
-Textus/Commentum [126/127] | Page: 201 | |
-Textus/Commentum [127/128] | Page: 202 | |
-Textus/Commentum [128/129] | Page: 204 | |
-Textus/Commentum [129/130] | Page: 208 | |
-Textus/Commentum [130/131] | Page: 209 | |
-Textus/Commentum [131/132] | Page: 210 | |
-Textus/Commentum [132/133] | Page: 211 | |
-Textus/Commentum [133/134] | Page: 214 | |
-Textus/Commentum [134/135] | Page: 216 | |
-Textus/Commentum [135/136] | Page: 217 | |
-Textus/Commentum [136/137] | Page: 218 | |
-Textus/Commentum [137/138] | Page: 219 | |
-Textus/Commentum [138/139] | Page: 220 | |
-Textus/Commentum [139/140] | Page: 222 | |
-Textus/Commentum [140/141] | Page: 223 | |
Liber 2 | Page: 224 | |
-Textus/Commentum [1] | Page: 225 | |
-Textus/Commentum [2] | Page: 227 | |
-Textus/Commentum [3] | Page: 230 | |
-Textus/Commentum [4] | Page: 232 | |
-Textus/Commentum [5] | Page: 235 | |
-Textus/Commentum [6] | Page: 236 | |
-Textus/Commentum [7] | Page: 240 | |
-Textus/Commentum [8] | Page: 242 | |
-Textus/Commentum [9] | Page: 243 | |
-Textus/Commentum [10] | Page: 244 | |
-Textus/Commentum [11] | Page: 244 | |
-Textus/Commentum [12] | Page: 245 | |
-Textus/Commentum [13] | Page: 247 | |
-Textus/Commentum [14] | Page: 248 | |
-Textus/Commentum [15] | Page: 250 | |
-Textus/Commentum [16] | Page: 251 | |
-Textus/Commentum [17] | Page: 252 | |
-Textus/Commentum [18] | Page: 252 | |
-Textus/Commentum [19] | Page: 253 | |
-Textus/Commentum [20] | Page: 253 | |
-Textus/Commentum [21] | Page: 254 | |
-Textus/Commentum [22] | Page: 258 | |
-Textus/Commentum [23] | Page: 259 | |
-Textus/Commentum [24] | Page: 261 | |
-Textus/Commentum [25] | Page: 263 | |
-Textus/Commentum [26] | Page: 266 | |
-Textus/Commentum [27] | Page: 268 | |
-Textus/Commentum [28] | Page: 269 | |
-Textus/Commentum [29] | Page: 271 | |
-Textus/Commentum [30] | Page: 271 | |
-Textus/Commentum [31] | Page: 272 | |
-Textus/Commentum [32] | Page: 273 | |
-Textus/Commentum [33] | Page: 275 | |
-Textus/Commentum [34] | Page: 276 | |
-Textus/Commentum [35] | Page: 277 | |
-Textus/Commentum [36] | Page: 279 | |
-Textus/Commentum [37] | Page: 280 | |
-Textus/Commentum [38] | Page: 281 | |
-Textus/Commentum [39] | Page: 282 | |
-Textus/Commentum [40] | Page: 282 | |
-Textus/Commentum [41] | Page: 284 | |
-Textus/Commentum [42] | Page: 284 | |
-Textus/Commentum [43] | Page: 287 | |
-Textus/Commentum [44] | Page: 289 | |
-Textus/Commentum [45] | Page: 292 | |
-Textus/Commentum [46] | Page: 294 | |
-Textus/Commentum [47] | Page: 297 | |
-Textus/Commentum [48] | Page: 301 | |
-Textus/Commentum [49] | Page: 303 | |
-Textus/Commentum [50] | Page: 304 | |
-Textus/Commentum [51] | Page: 304 | |
-Textus/Commentum [52] | Page: 305 | |
-Textus/Commentum [53] | Page: 307 | |
-Textus/Commentum [54] | Page: 309 | |
-Textus/Commentum [55] | Page: 311 | |
-Textus/Commentum [56] | Page: 312 | |
-Textus/Commentum [57] | Page: 312 | |
-Textus/Commentum [58] | Page: 313 | |
-Textus/Commentum [59] | Page: 314 | |
-Textus/Commentum [60] | Page: 317 | |
-Textus/Commentum [61] | Page: 318 | |
-Textus/Commentum [62] | Page: 320 | |
-Textus/Commentum [63] | Page: 321 | |
-Textus/Commentum [64] | Page: 323 | |
-Textus/Commentum [65] | Page: 324 | |
-Textus/Commentum [66] | Page: 325 | |
-Textus/Commentum [67] | Page: 327 | |
-Textus/Commentum [68] | Page: 330 | |
-Textus/Commentum [69] | Page: 334 | |
-Textus/Commentum [70] | Page: 337 | |
-Textus/Commentum [71] | Page: 340 | |
-Textus/Commentum [72] | Page: 343 | |
-Textus/Commentum [73] | Page: 345 | |
-Textus/Commentum [74] | Page: 346 | |
-Textus/Commentum [75] | Page: 348 | |
-Textus/Commentum [76] | Page: 356 | |
-Textus/Commentum [77] | Page: 357 | |
-Textus/Commentum [78] | Page: 358 | |
-Textus/Commentum [79] | Page: 360 | |
-Textus/Commentum [80] | Page: 361 | |
-Textus/Commentum [81] | Page: 364 | |
-Textus/Commentum [82] | Page: 364 | |
-Textus/Commentum [83] | Page: 367 | |
-Textus/Commentum [84] | Page: 370 | |
-Textus/Commentum [85] | Page: 371 | |
-Textus/Commentum [86] | Page: 373 | |
-Textus/Commentum [87] | Page: 374 | |
-Textus/Commentum [88] | Page: 375 | |
-Textus/Commentum [89] | Page: 376 | |
-Textus/Commentum [90] | Page: 377 | |
-Textus/Commentum [91] | Page: 378 | |
-Textus/Commentum [92] | Page: 380 | |
-Textus/Commentum [93] | Page: 382 | |
-Textus/Commentum [94] | Page: 385 | |
-Textus/Commentum [95] | Page: 387 | |
-Textus/Commentum [96] | Page: 390 | |
-Textus/Commentum [97] | Page: 392 | |
-Textus/Commentum [98] | Page: 394 | |
-Textus/Commentum [99] | Page: 398 | |
-Textus/Commentum [100] | Page: 400 | |
-Textus/Commentum [101] | Page: 401 | |
-Textus/Commentum [102] | Page: 403 | |
-Textus/Commentum [103] | Page: 404 | |
-Textus/Commentum [104] | Page: 404 | |
-Textus/Commentum [105] | Page: 405 | |
-Textus/Commentum [106] | Page: 406 | |
-Textus/Commentum [107] | Page: 407 | |
-Textus/Commentum [108] | Page: 411 | |
-Textus/Commentum [109] | Page: 412 | |
-Textus/Commentum [110] | Page: 414 | |
-Textus/Commentum [111] | Page: 416 | |
-Textus/Commentum [112] | Page: 418 | |
Liber 3 | Page: 420 | |
-Textus/Commentum [1] | Page: 422 | |
-Textus/Commentum [2] | Page: 422 | |
-Textus/Commentum [3] | Page: 424 | |
-Textus/Commentum [4] | Page: 426 | |
-Textus/Commentum [5] | Page: 426 | |
-Textus/Commentum [6] | Page: 427 | |
-Textus/Commentum [7] | Page: 428 | |
-Textus/Commentum [8] | Page: 430 | |
-Textus/Commentum [9] | Page: 430 | |
-Textus/Commentum [10] | Page: 433 | |
-Textus/Commentum [11] | Page: 435 | |
-Textus/Commentum [12] | Page: 436 | |
-Textus/Commentum [13] | Page: 437 | |
-Textus/Commentum [14] | Page: 438 | |
-Textus/Commentum [15] | Page: 439 | |
-Textus/Commentum [16] | Page: 442 | |
-Textus/Commentum [17] | Page: 446 | |
-Textus/Commentum [18] | Page: 448 | |
-Textus/Commentum [19] | Page: 449 | |
-Textus/Commentum [20] | Page: 452 | |
-Textus/Commentum [21] | Page: 454 | |
-Textus/Commentum [22] | Page: 455 | |
-Textus/Commentum [23] | Page: 455 | |
-Textus/Commentum [24] | Page: 456 | |
-Textus/Commentum [25] | Page: 458 | |
-Textus/Commentum [26] | Page: 458 | |
-Textus/Commentum [27] | Page: 459 | |
-Textus/Commentum [28] | Page: 459 | |
-Textus/Commentum [29] | Page: 462 | |
-Textus/Commentum [30] | Page: 463 | |
-Textus/Commentum [31] | Page: 464 | |
-Textus/Commentum [32] | Page: 468 | |
-Textus/Commentum [33] | Page: 470 | |
-Textus/Commentum [34] | Page: 471 | |
-Textus/Commentum [35] | Page: 473 | |
-Textus/Commentum [36] | Page: 476 | |
-Textus/Commentum [37] | Page: 477 | |
-Textus/Commentum [38] | Page: 480 | |
-Textus/Commentum [39] | Page: 481 | |
-Textus/Commentum [40] | Page: 482 | |
-Textus/Commentum [41] | Page: 483 | |
-Textus/Commentum [42] | Page: 483 | |
-Textus/Commentum [43] | Page: 486 | |
-Textus/Commentum [44] | Page: 489 | |
-Textus/Commentum [45] | Page: 490 | |
-Textus/Commentum [46] | Page: 491 | |
-Textus/Commentum [47] | Page: 492 | |
-Textus/Commentum [48] | Page: 493 | |
-Textus/Commentum [49] | Page: 496 | |
-Textus/Commentum [50] | Page: 498 | |
-Textus/Commentum [51] | Page: 500 | |
-Textus/Commentum [52] | Page: 501 | |
-Textus/Commentum [53] | Page: 503 | |
-Textus/Commentum [54] | Page: 504 | |
-Textus/Commentum [55] | Page: 505 | |
-Textus/Commentum [56] | Page: 507 | |
-Textus/Commentum [57] | Page: 509 | |
-Textus/Commentum [58] | Page: 512 | |
-Textus/Commentum [59] | Page: 512 | |
-Textus/Commentum [60] | Page: 513 | |
-Textus/Commentum [61] | Page: 513 | |
-Textus/Commentum [62] | Page: 513 | |
-Textus/Commentum [63] | Page: 518 | |
-Textus/Commentum [64] | Page: 519 | |
-Textus/Commentum [65] | Page: 520 | |
-Textus/Commentum [66] | Page: 524 | |
-Textus/Commentum [67] | Page: 528 | |
-Textus/Commentum [68] | Page: 530 | |
-Textus/Commentum [69] | Page: 532 | |
-Textus/Commentum [70] | Page: 538 | |
-Textus/Commentum [71] | Page: 539 | |
-Textus/Commentum [72] | Page: 545 | |
-Textus/Commentum [73] | Page: 548 | |
-Textus/Commentum [74] | Page: 551 | |
-Textus/Commentum [75] | Page: 557 | |
-Textus/Commentum [76] | Page: 561 | |
-Textus/Commentum [77] | Page: 561 | |
Liber 4 | Page: 562 | |
-Prologus | Page: 562 | |
-Textus/Commentum [1] | Page: 563 | |
-Textus/Commentum [2] | Page: 563 | |
-Textus/Commentum [3] | Page: 565 | |
-Textus/Commentum [4] | Page: 565 | |
-Textus/Commentum [5] | Page: 566 | |
-Textus/Commentum [6] | Page: 566 | |
-Textus/Commentum [7] | Page: 568 | |
-Textus/Commentum [8] | Page: 569 | |
-Textus/Commentum [9] | Page: 573 | |
-Textus/Commentum [10] | Page: 574 | |
-Textus/Commentum [11] | Page: 576 | |
-Textus/Commentum [12] | Page: 577 | |
-Textus/Commentum [13] | Page: 578 | |
-Textus/Commentum [14] | Page: 579 | |
-Textus/Commentum [15] | Page: 582 | |
-Textus/Commentum [16] | Page: 585 | |
-Textus/Commentum [17] | Page: 586 | |
-Textus/Commentum [18] | Page: 586 | |
-Textus/Commentum [19] | Page: 588 | |
-Textus/Commentum [20] | Page: 589 | |
-Textus/Commentum [21] | Page: 592 | |
-Textus/Commentum [22] | Page: 593 | |
-Textus/Commentum [23] | Page: 594 | |
-Textus/Commentum [24] | Page: 595 | |
-Textus/Commentum [25] | Page: 596 | |
-Textus/Commentum [26] | Page: 603 | |
-Textus/Commentum [27] | Page: 604 | |
-Textus/Commentum [28] | Page: 607 | |
-Textus/Commentum [29] | Page: 610 | |
-Textus/Commentum [30] | Page: 612 | |
-Textus/Commentum [31] | Page: 614 | |
-Textus/Commentum [32] | Page: 617 | |
-Textus/Commentum [33] | Page: 618 | |
-Textus/Commentum [34] | Page: 620 | |
-Textus/Commentum [35] | Page: 624 | |
-Textus/Commentum [36] | Page: 625 | |
-Textus/Commentum [37] | Page: 625 | |
-Textus/Commentum [38] | Page: 626 | |
-Textus/Commentum [39] | Page: 628 | |
-Textus/Commentum [40] | Page: 631 | |
-Textus/Commentum [41] | Page: 636 | |
-Textus/Commentum [42] | Page: 637 | |
-Textus/Commentum [43] | Page: 638 | |
-Textus/Commentum [44] | Page: 639 | |
-Textus/Commentum [45] | Page: 640 |