meta.json (156816B)
1 { 2 "ethica": { 3 "id": "ethica", 4 "children": [ 5 "1", 6 "2", 7 "3", 8 "4", 9 "5" 10 ], 11 "type": "ethica" 12 }, 13 "1": { 14 "id": "1", 15 "children": [ 16 "1def", 17 "1ax", 18 "1p1", 19 "1p2", 20 "1p3", 21 "1p4", 22 "1p5", 23 "1p6", 24 "1p7", 25 "1p8", 26 "1p9", 27 "1p10", 28 "1p11", 29 "1p12", 30 "1p13", 31 "1p14", 32 "1p15", 33 "1p16", 34 "1p17", 35 "1p18", 36 "1p19", 37 "1p20", 38 "1p21", 39 "1p22", 40 "1p23", 41 "1p24", 42 "1p25", 43 "1p26", 44 "1p27", 45 "1p28", 46 "1p29", 47 "1p30", 48 "1p31", 49 "1p32", 50 "1p33", 51 "1p34", 52 "1p35", 53 "1p36", 54 "1app" 55 ], 56 "type": "pars", 57 "number": 1, 58 "title": "De Deo" 59 }, 60 "1app": { 61 "id": "1app", 62 "ref": [ 63 "1p16", 64 "1p32c1", 65 "1p32c2", 66 "1p21", 67 "1p22", 68 "1p23" 69 ], 70 "type": "appendix" 71 }, 72 "1ax": { 73 "id": "1ax", 74 "children": [ 75 "1ax1", 76 "1ax2", 77 "1ax3", 78 "1ax4", 79 "1ax5", 80 "1ax6", 81 "1ax7" 82 ], 83 "type": "axiomata" 84 }, 85 "1ax1": { 86 "id": "1ax1", 87 "type": "axioma", 88 "number": 1 89 }, 90 "1ax2": { 91 "id": "1ax2", 92 "type": "axioma", 93 "number": 2 94 }, 95 "1ax3": { 96 "id": "1ax3", 97 "type": "axioma", 98 "number": 3 99 }, 100 "1ax4": { 101 "id": "1ax4", 102 "type": "axioma", 103 "number": 4 104 }, 105 "1ax5": { 106 "id": "1ax5", 107 "type": "axioma", 108 "number": 5 109 }, 110 "1ax6": { 111 "id": "1ax6", 112 "type": "axioma", 113 "number": 6 114 }, 115 "1ax7": { 116 "id": "1ax7", 117 "type": "axioma", 118 "number": 7 119 }, 120 "1def": { 121 "id": "1def", 122 "children": [ 123 "1def1", 124 "1def2", 125 "1def3", 126 "1def4", 127 "1def5", 128 "1def6", 129 "1def7", 130 "1def8" 131 ], 132 "type": "definitiones" 133 }, 134 "1def1": { 135 "id": "1def1", 136 "type": "definitio", 137 "number": 1 138 }, 139 "1def2": { 140 "id": "1def2", 141 "type": "definitio", 142 "number": 2 143 }, 144 "1def3": { 145 "id": "1def3", 146 "type": "definitio", 147 "number": 3 148 }, 149 "1def4": { 150 "id": "1def4", 151 "type": "definitio", 152 "number": 4 153 }, 154 "1def5": { 155 "id": "1def5", 156 "type": "definitio", 157 "number": 5 158 }, 159 "1def6": { 160 "id": "1def6", 161 "children": [ 162 "1def6e" 163 ], 164 "type": "definitio", 165 "number": 6 166 }, 167 "1def6e": { 168 "id": "1def6e", 169 "type": "explicatio" 170 }, 171 "1def7": { 172 "id": "1def7", 173 "type": "definitio", 174 "number": 7 175 }, 176 "1def8": { 177 "id": "1def8", 178 "children": [ 179 "1def8e" 180 ], 181 "type": "definitio", 182 "number": 8 183 }, 184 "1def8e": { 185 "id": "1def8e", 186 "type": "explicatio" 187 }, 188 "1p1": { 189 "id": "1p1", 190 "children": [ 191 "1p1d" 192 ], 193 "type": "propositio", 194 "number": 1 195 }, 196 "1p10": { 197 "id": "1p10", 198 "children": [ 199 "1p10d", 200 "1p10sc" 201 ], 202 "type": "propositio", 203 "number": 10 204 }, 205 "1p10d": { 206 "id": "1p10d", 207 "ref": [ 208 "1def4", 209 "1def3" 210 ], 211 "type": "demonstratio" 212 }, 213 "1p10sc": { 214 "id": "1p10sc", 215 "ref": [ 216 "1def6" 217 ], 218 "type": "scholium" 219 }, 220 "1p11": { 221 "id": "1p11", 222 "children": [ 223 "1p11d", 224 "1p11a1", 225 "1p11a2", 226 "1p11sc" 227 ], 228 "type": "propositio", 229 "number": 11 230 }, 231 "1p11a1": { 232 "id": "1p11a1", 233 "ref": [ 234 "1p7", 235 "1p2" 236 ], 237 "type": "aliter", 238 "number": 1 239 }, 240 "1p11a2": { 241 "id": "1p11a2", 242 "ref": [ 243 "1ax1", 244 "1p7", 245 "1def6" 246 ], 247 "type": "aliter", 248 "number": 2 249 }, 250 "1p11d": { 251 "id": "1p11d", 252 "ref": [ 253 "1ax7", 254 "1p7" 255 ], 256 "type": "demonstratio" 257 }, 258 "1p11sc": { 259 "id": "1p11sc", 260 "ref": [ 261 "1p6" 262 ], 263 "type": "scholium" 264 }, 265 "1p12": { 266 "id": "1p12", 267 "children": [ 268 "1p12d" 269 ], 270 "type": "propositio", 271 "number": 12 272 }, 273 "1p12d": { 274 "id": "1p12d", 275 "ref": [ 276 "1p8", 277 "1p6", 278 "1p5", 279 "1p6", 280 "1p2", 281 "1def4", 282 "1p10", 283 "1p7" 284 ], 285 "type": "demonstratio" 286 }, 287 "1p13": { 288 "id": "1p13", 289 "children": [ 290 "1p13d", 291 "1p13c" 292 ], 293 "type": "propositio", 294 "number": 13 295 }, 296 "1p13c": { 297 "id": "1p13c", 298 "children": [ 299 "1p13csc" 300 ], 301 "type": "corollarium" 302 }, 303 "1p13csc": { 304 "id": "1p13csc", 305 "ref": [ 306 "1p8" 307 ], 308 "type": "scholium" 309 }, 310 "1p13d": { 311 "id": "1p13d", 312 "ref": [ 313 "1p5", 314 "1p11" 315 ], 316 "type": "demonstratio" 317 }, 318 "1p14": { 319 "id": "1p14", 320 "children": [ 321 "1p14d", 322 "1p14c1", 323 "1p14c2" 324 ], 325 "type": "propositio", 326 "number": 14 327 }, 328 "1p14c1": { 329 "id": "1p14c1", 330 "ref": [ 331 "1def6", 332 "1p10sc" 333 ], 334 "type": "corollarium", 335 "number": 1 336 }, 337 "1p14c2": { 338 "id": "1p14c2", 339 "ref": [ 340 "1ax1" 341 ], 342 "type": "corollarium", 343 "number": 2 344 }, 345 "1p14d": { 346 "id": "1p14d", 347 "ref": [ 348 "1def6", 349 "1p11", 350 "1p5" 351 ], 352 "type": "demonstratio" 353 }, 354 "1p15": { 355 "id": "1p15", 356 "children": [ 357 "1p15d", 358 "1p15sc" 359 ], 360 "type": "propositio", 361 "number": 15 362 }, 363 "1p15d": { 364 "id": "1p15d", 365 "ref": [ 366 "1p14", 367 "1def3", 368 "1def5", 369 "1ax1" 370 ], 371 "type": "demonstratio" 372 }, 373 "1p15sc": { 374 "id": "1p15sc", 375 "ref": [ 376 "1p6c", 377 "1p8sc2", 378 "1p14", 379 "1p12", 380 "1p13c", 381 "1p12", 382 "1p8", 383 "1p5", 384 "1p12", 385 "1p14" 386 ], 387 "type": "scholium" 388 }, 389 "1p16": { 390 "id": "1p16", 391 "children": [ 392 "1p16d", 393 "1p16c1", 394 "1p16c2", 395 "1p16c3" 396 ], 397 "type": "propositio", 398 "number": 16 399 }, 400 "1p16c1": { 401 "id": "1p16c1", 402 "type": "corollarium", 403 "number": 1 404 }, 405 "1p16c2": { 406 "id": "1p16c2", 407 "type": "corollarium", 408 "number": 2 409 }, 410 "1p16c3": { 411 "id": "1p16c3", 412 "type": "corollarium", 413 "number": 3 414 }, 415 "1p16d": { 416 "id": "1p16d", 417 "ref": [ 418 "1def6" 419 ], 420 "type": "demonstratio" 421 }, 422 "1p17": { 423 "id": "1p17", 424 "children": [ 425 "1p17d", 426 "1p17c1", 427 "1p17c2" 428 ], 429 "type": "propositio", 430 "number": 17 431 }, 432 "1p17c1": { 433 "id": "1p17c1", 434 "type": "corollarium", 435 "number": 1 436 }, 437 "1p17c2": { 438 "id": "1p17c2", 439 "children": [ 440 "1p17c2sc" 441 ], 442 "ref": [ 443 "1p11", 444 "1p14c1", 445 "1p17", 446 "1def7" 447 ], 448 "type": "corollarium", 449 "number": 2 450 }, 451 "1p17c2sc": { 452 "id": "1p17c2sc", 453 "ref": [ 454 "1p16", 455 "1p16c1" 456 ], 457 "type": "scholium" 458 }, 459 "1p17d": { 460 "id": "1p17d", 461 "ref": [ 462 "1p16", 463 "1p15" 464 ], 465 "type": "demonstratio" 466 }, 467 "1p18": { 468 "id": "1p18", 469 "children": [ 470 "1p18d" 471 ], 472 "type": "propositio", 473 "number": 18 474 }, 475 "1p18d": { 476 "id": "1p18d", 477 "ref": [ 478 "1p15", 479 "1p16c1", 480 "1p14", 481 "1def3" 482 ], 483 "type": "demonstratio" 484 }, 485 "1p19": { 486 "id": "1p19", 487 "children": [ 488 "1p19d", 489 "1p19sc" 490 ], 491 "type": "propositio", 492 "number": 19 493 }, 494 "1p19d": { 495 "id": "1p19d", 496 "ref": [ 497 "1def6", 498 "1p11", 499 "1p7", 500 "1def8", 501 "1def4", 502 "1p7" 503 ], 504 "type": "demonstratio" 505 }, 506 "1p19sc": { 507 "id": "1p19sc", 508 "ref": [ 509 "1p11" 510 ], 511 "type": "scholium" 512 }, 513 "1p1d": { 514 "id": "1p1d", 515 "ref": [ 516 "1def3", 517 "1def5" 518 ], 519 "type": "demonstratio" 520 }, 521 "1p2": { 522 "id": "1p2", 523 "children": [ 524 "1p2d" 525 ], 526 "type": "propositio", 527 "number": 2 528 }, 529 "1p20": { 530 "id": "1p20", 531 "children": [ 532 "1p20d", 533 "1p20c1", 534 "1p20c2" 535 ], 536 "type": "propositio", 537 "number": 20 538 }, 539 "1p20c1": { 540 "id": "1p20c1", 541 "type": "corollarium", 542 "number": 1 543 }, 544 "1p20c2": { 545 "id": "1p20c2", 546 "ref": [ 547 "1p20" 548 ], 549 "type": "corollarium", 550 "number": 2 551 }, 552 "1p20d": { 553 "id": "1p20d", 554 "ref": [ 555 "1p19", 556 "1def8", 557 "1def4" 558 ], 559 "type": "demonstratio" 560 }, 561 "1p21": { 562 "id": "1p21", 563 "children": [ 564 "1p21d" 565 ], 566 "type": "propositio", 567 "number": 21 568 }, 569 "1p21d": { 570 "id": "1p21d", 571 "ref": [ 572 "1p11", 573 "1def2", 574 "1p11", 575 "1p11", 576 "1p20c2" 577 ], 578 "type": "demonstratio" 579 }, 580 "1p22": { 581 "id": "1p22", 582 "children": [ 583 "1p22d" 584 ], 585 "type": "propositio", 586 "number": 22 587 }, 588 "1p22d": { 589 "id": "1p22d", 590 "ref": [ 591 "1def2", 592 "1p11", 593 "1p20c2" 594 ], 595 "type": "demonstratio" 596 }, 597 "1p23": { 598 "id": "1p23", 599 "children": [ 600 "1p23d" 601 ], 602 "type": "propositio", 603 "number": 23 604 }, 605 "1p23d": { 606 "id": "1p23d", 607 "ref": [ 608 "1def5", 609 "1p15", 610 "1def8", 611 "1def6", 612 "1p19", 613 "1p21", 614 "1p22" 615 ], 616 "type": "demonstratio" 617 }, 618 "1p24": { 619 "id": "1p24", 620 "children": [ 621 "1p24d", 622 "1p24c" 623 ], 624 "type": "propositio", 625 "number": 24 626 }, 627 "1p24c": { 628 "id": "1p24c", 629 "ref": [ 630 "1p14c1" 631 ], 632 "type": "corollarium" 633 }, 634 "1p24d": { 635 "id": "1p24d", 636 "ref": [ 637 "1def1" 638 ], 639 "type": "demonstratio" 640 }, 641 "1p25": { 642 "id": "1p25", 643 "children": [ 644 "1p25d", 645 "1p25sc", 646 "1p25c" 647 ], 648 "type": "propositio", 649 "number": 25 650 }, 651 "1p25c": { 652 "id": "1p25c", 653 "ref": [ 654 "1p15", 655 "1def5" 656 ], 657 "type": "corollarium" 658 }, 659 "1p25d": { 660 "id": "1p25d", 661 "ref": [ 662 "1ax4", 663 "1p15" 664 ], 665 "type": "demonstratio" 666 }, 667 "1p25sc": { 668 "id": "1p25sc", 669 "ref": [ 670 "1p16" 671 ], 672 "type": "scholium" 673 }, 674 "1p26": { 675 "id": "1p26", 676 "children": [ 677 "1p26d" 678 ], 679 "type": "propositio", 680 "number": 26 681 }, 682 "1p26d": { 683 "id": "1p26d", 684 "ref": [ 685 "1p25", 686 "1p16" 687 ], 688 "type": "demonstratio" 689 }, 690 "1p27": { 691 "id": "1p27", 692 "children": [ 693 "1p27d" 694 ], 695 "type": "propositio", 696 "number": 27 697 }, 698 "1p27d": { 699 "id": "1p27d", 700 "ref": [ 701 "1ax3" 702 ], 703 "type": "demonstratio" 704 }, 705 "1p28": { 706 "id": "1p28", 707 "children": [ 708 "1p28d", 709 "1p28sc" 710 ], 711 "type": "propositio", 712 "number": 28 713 }, 714 "1p28d": { 715 "id": "1p28d", 716 "ref": [ 717 "1p26", 718 "1p24c", 719 "1p21", 720 "1ax1", 721 "1def3", 722 "1def5", 723 "1p25c", 724 "1p22" 725 ], 726 "type": "demonstratio" 727 }, 728 "1p28sc": { 729 "id": "1p28sc", 730 "ref": [ 731 "1p15", 732 "1p24c" 733 ], 734 "type": "scholium" 735 }, 736 "1p29": { 737 "id": "1p29", 738 "children": [ 739 "1p29d", 740 "1p29sc" 741 ], 742 "type": "propositio", 743 "number": 29 744 }, 745 "1p29d": { 746 "id": "1p29d", 747 "ref": [ 748 "1p15", 749 "1p11", 750 "1p16", 751 "1p21", 752 "1p27", 753 "1p24c", 754 "1p26", 755 "1p26", 756 "1p27" 757 ], 758 "type": "demonstratio" 759 }, 760 "1p29sc": { 761 "id": "1p29sc", 762 "ref": [ 763 "1p14c1", 764 "1p17c2" 765 ], 766 "type": "scholium" 767 }, 768 "1p2d": { 769 "id": "1p2d", 770 "ref": [ 771 "1def3" 772 ], 773 "type": "demonstratio" 774 }, 775 "1p3": { 776 "id": "1p3", 777 "children": [ 778 "1p3d" 779 ], 780 "type": "propositio", 781 "number": 3 782 }, 783 "1p30": { 784 "id": "1p30", 785 "children": [ 786 "1p30d" 787 ], 788 "type": "propositio", 789 "number": 30 790 }, 791 "1p30d": { 792 "id": "1p30d", 793 "ref": [ 794 "1ax6", 795 "1p14c1", 796 "1p15", 797 "1p15" 798 ], 799 "type": "demonstratio" 800 }, 801 "1p31": { 802 "id": "1p31", 803 "children": [ 804 "1p31d", 805 "1p31sc" 806 ], 807 "type": "propositio", 808 "number": 31 809 }, 810 "1p31d": { 811 "id": "1p31d", 812 "ref": [ 813 "1def5", 814 "1p15", 815 "1def6", 816 "1p29sc" 817 ], 818 "type": "demonstratio" 819 }, 820 "1p31sc": { 821 "id": "1p31sc", 822 "type": "scholium" 823 }, 824 "1p32": { 825 "id": "1p32", 826 "children": [ 827 "1p32d", 828 "1p32c1", 829 "1p32c2" 830 ], 831 "type": "propositio", 832 "number": 32 833 }, 834 "1p32c1": { 835 "id": "1p32c1", 836 "type": "corollarium", 837 "number": 1 838 }, 839 "1p32c2": { 840 "id": "1p32c2", 841 "ref": [ 842 "1p29" 843 ], 844 "type": "corollarium", 845 "number": 2 846 }, 847 "1p32d": { 848 "id": "1p32d", 849 "ref": [ 850 "1p28", 851 "1p23", 852 "1def7" 853 ], 854 "type": "demonstratio" 855 }, 856 "1p33": { 857 "id": "1p33", 858 "children": [ 859 "1p33d", 860 "1p33sc1", 861 "1p33sc2" 862 ], 863 "type": "propositio", 864 "number": 33 865 }, 866 "1p33d": { 867 "id": "1p33d", 868 "ref": [ 869 "1p16", 870 "1p29", 871 "1p11", 872 "1p14c1" 873 ], 874 "type": "demonstratio" 875 }, 876 "1p33sc1": { 877 "id": "1p33sc1", 878 "type": "scholium", 879 "number": 1 880 }, 881 "1p33sc2": { 882 "id": "1p33sc2", 883 "ref": [ 884 "1def7", 885 "1p17c2sc" 886 ], 887 "type": "scholium", 888 "number": 2 889 }, 890 "1p34": { 891 "id": "1p34", 892 "children": [ 893 "1p34d" 894 ], 895 "type": "propositio", 896 "number": 34 897 }, 898 "1p34d": { 899 "id": "1p34d", 900 "ref": [ 901 "1p11", 902 "1p16", 903 "1p16c1" 904 ], 905 "type": "demonstratio" 906 }, 907 "1p35": { 908 "id": "1p35", 909 "children": [ 910 "1p35d" 911 ], 912 "type": "propositio", 913 "number": 35 914 }, 915 "1p35d": { 916 "id": "1p35d", 917 "ref": [ 918 "1p34" 919 ], 920 "type": "demonstratio" 921 }, 922 "1p36": { 923 "id": "1p36", 924 "children": [ 925 "1p36d" 926 ], 927 "type": "propositio", 928 "number": 36 929 }, 930 "1p36d": { 931 "id": "1p36d", 932 "ref": [ 933 "1p25c", 934 "1p34", 935 "1p16" 936 ], 937 "type": "demonstratio" 938 }, 939 "1p3d": { 940 "id": "1p3d", 941 "ref": [ 942 "1ax5", 943 "1ax4" 944 ], 945 "type": "demonstratio" 946 }, 947 "1p4": { 948 "id": "1p4", 949 "children": [ 950 "1p4d" 951 ], 952 "type": "propositio", 953 "number": 4 954 }, 955 "1p4d": { 956 "id": "1p4d", 957 "ref": [ 958 "1ax1", 959 "1def3", 960 "1def5", 961 "1def4" 962 ], 963 "type": "demonstratio" 964 }, 965 "1p5": { 966 "id": "1p5", 967 "children": [ 968 "1p5d" 969 ], 970 "type": "propositio", 971 "number": 5 972 }, 973 "1p5d": { 974 "id": "1p5d", 975 "ref": [ 976 "1p4", 977 "1p1", 978 "1def3", 979 "1ax6", 980 "1p4" 981 ], 982 "type": "demonstratio" 983 }, 984 "1p6": { 985 "id": "1p6", 986 "children": [ 987 "1p6d", 988 "1p6c" 989 ], 990 "type": "propositio", 991 "number": 6 992 }, 993 "1p6c": { 994 "id": "1p6c", 995 "children": [ 996 "1p6ca" 997 ], 998 "ref": [ 999 "1ax1", 1000 "1def3", 1001 "1def5", 1002 "1p5" 1003 ], 1004 "type": "corollarium" 1005 }, 1006 "1p6ca": { 1007 "id": "1p6ca", 1008 "ref": [ 1009 "1ax4", 1010 "1def3" 1011 ], 1012 "type": "aliter" 1013 }, 1014 "1p6d": { 1015 "id": "1p6d", 1016 "ref": [ 1017 "1p5", 1018 "1p2", 1019 "1p3" 1020 ], 1021 "type": "demonstratio" 1022 }, 1023 "1p7": { 1024 "id": "1p7", 1025 "children": [ 1026 "1p7d" 1027 ], 1028 "type": "propositio", 1029 "number": 7 1030 }, 1031 "1p7d": { 1032 "id": "1p7d", 1033 "ref": [ 1034 "1p6c", 1035 "1def1" 1036 ], 1037 "type": "demonstratio" 1038 }, 1039 "1p8": { 1040 "id": "1p8", 1041 "children": [ 1042 "1p8d", 1043 "1p8sc1", 1044 "1p8sc2" 1045 ], 1046 "type": "propositio", 1047 "number": 8 1048 }, 1049 "1p8d": { 1050 "id": "1p8d", 1051 "ref": [ 1052 "1p5", 1053 "1p7", 1054 "1def2", 1055 "1p7", 1056 "1p5" 1057 ], 1058 "type": "demonstratio" 1059 }, 1060 "1p8sc1": { 1061 "id": "1p8sc1", 1062 "ref": [ 1063 "1p7" 1064 ], 1065 "type": "scholium", 1066 "number": 1 1067 }, 1068 "1p8sc2": { 1069 "id": "1p8sc2", 1070 "ref": [ 1071 "1p7", 1072 "1p7" 1073 ], 1074 "type": "scholium", 1075 "number": 2 1076 }, 1077 "1p9": { 1078 "id": "1p9", 1079 "children": [ 1080 "1p9d" 1081 ], 1082 "type": "propositio", 1083 "number": 9 1084 }, 1085 "1p9d": { 1086 "id": "1p9d", 1087 "ref": [ 1088 "1def4" 1089 ], 1090 "type": "demonstratio" 1091 }, 1092 "2": { 1093 "id": "2", 1094 "children": [ 1095 "2pr", 1096 "2def", 1097 "2ax", 1098 "2p1", 1099 "2p2", 1100 "2p3", 1101 "2p4", 1102 "2p5", 1103 "2p6", 1104 "2p7", 1105 "2p8", 1106 "2p9", 1107 "2p10", 1108 "2p11", 1109 "2p12", 1110 "2p13", 1111 "2p14", 1112 "2p15", 1113 "2p16", 1114 "2p17", 1115 "2p18", 1116 "2p19", 1117 "2p20", 1118 "2p21", 1119 "2p22", 1120 "2p23", 1121 "2p24", 1122 "2p25", 1123 "2p26", 1124 "2p27", 1125 "2p28", 1126 "2p29", 1127 "2p30", 1128 "2p31", 1129 "2p32", 1130 "2p33", 1131 "2p34", 1132 "2p35", 1133 "2p36", 1134 "2p37", 1135 "2p38", 1136 "2p39", 1137 "2p40", 1138 "2p41", 1139 "2p42", 1140 "2p43", 1141 "2p44", 1142 "2p45", 1143 "2p46", 1144 "2p47", 1145 "2p48", 1146 "2p49" 1147 ], 1148 "type": "pars", 1149 "number": 2, 1150 "title": "De natura et origine mentis" 1151 }, 1152 "2ax": { 1153 "id": "2ax", 1154 "children": [ 1155 "2ax1", 1156 "2ax2", 1157 "2ax3", 1158 "2ax4", 1159 "2ax5" 1160 ], 1161 "type": "axiomata" 1162 }, 1163 "2ax1": { 1164 "id": "2ax1", 1165 "type": "axioma", 1166 "number": 1 1167 }, 1168 "2ax2": { 1169 "id": "2ax2", 1170 "type": "axioma", 1171 "number": 2 1172 }, 1173 "2ax3": { 1174 "id": "2ax3", 1175 "type": "axioma", 1176 "number": 3 1177 }, 1178 "2ax4": { 1179 "id": "2ax4", 1180 "type": "axioma", 1181 "number": 4 1182 }, 1183 "2ax5": { 1184 "id": "2ax5", 1185 "ref": [ 1186 "2p13post1", 1187 "2p13post2", 1188 "2p13post3", 1189 "2p13post4", 1190 "2p13post5", 1191 "2p13post6" 1192 ], 1193 "type": "axioma", 1194 "number": 5 1195 }, 1196 "2def": { 1197 "id": "2def", 1198 "children": [ 1199 "2def1", 1200 "2def2", 1201 "2def3", 1202 "2def4", 1203 "2def5", 1204 "2def6", 1205 "2def7" 1206 ], 1207 "type": "definitiones" 1208 }, 1209 "2def1": { 1210 "id": "2def1", 1211 "ref": [ 1212 "1p25c" 1213 ], 1214 "type": "definitio", 1215 "number": 1 1216 }, 1217 "2def2": { 1218 "id": "2def2", 1219 "type": "definitio", 1220 "number": 2 1221 }, 1222 "2def3": { 1223 "id": "2def3", 1224 "children": [ 1225 "2def3e" 1226 ], 1227 "type": "definitio", 1228 "number": 3 1229 }, 1230 "2def3e": { 1231 "id": "2def3e", 1232 "type": "explicatio" 1233 }, 1234 "2def4": { 1235 "id": "2def4", 1236 "children": [ 1237 "2def4e" 1238 ], 1239 "type": "definitio", 1240 "number": 4 1241 }, 1242 "2def4e": { 1243 "id": "2def4e", 1244 "type": "explicatio" 1245 }, 1246 "2def5": { 1247 "id": "2def5", 1248 "children": [ 1249 "2def5e" 1250 ], 1251 "type": "definitio", 1252 "number": 5 1253 }, 1254 "2def5e": { 1255 "id": "2def5e", 1256 "type": "explicatio" 1257 }, 1258 "2def6": { 1259 "id": "2def6", 1260 "type": "definitio", 1261 "number": 6 1262 }, 1263 "2def7": { 1264 "id": "2def7", 1265 "type": "definitio", 1266 "number": 7 1267 }, 1268 "2p1": { 1269 "id": "2p1", 1270 "children": [ 1271 "2p1d", 1272 "2p1sc" 1273 ], 1274 "type": "propositio", 1275 "number": 1 1276 }, 1277 "2p10": { 1278 "id": "2p10", 1279 "children": [ 1280 "2p10d", 1281 "2p10sc", 1282 "2p10c" 1283 ], 1284 "type": "propositio", 1285 "number": 10 1286 }, 1287 "2p10c": { 1288 "id": "2p10c", 1289 "children": [ 1290 "2p10cd", 1291 "2p10csc" 1292 ], 1293 "type": "corollarium" 1294 }, 1295 "2p10cd": { 1296 "id": "2p10cd", 1297 "ref": [ 1298 "2p10", 1299 "1p15", 1300 "1p25c" 1301 ], 1302 "type": "demonstratio" 1303 }, 1304 "2p10csc": { 1305 "id": "2p10csc", 1306 "type": "scholium" 1307 }, 1308 "2p10d": { 1309 "id": "2p10d", 1310 "ref": [ 1311 "1p7", 1312 "2def2", 1313 "2ax1" 1314 ], 1315 "type": "demonstratio" 1316 }, 1317 "2p10sc": { 1318 "id": "2p10sc", 1319 "ref": [ 1320 "1p5" 1321 ], 1322 "type": "scholium" 1323 }, 1324 "2p11": { 1325 "id": "2p11", 1326 "children": [ 1327 "2p11d", 1328 "2p11c" 1329 ], 1330 "type": "propositio", 1331 "number": 11 1332 }, 1333 "2p11c": { 1334 "id": "2p11c", 1335 "children": [ 1336 "2p11csc" 1337 ], 1338 "type": "corollarium" 1339 }, 1340 "2p11csc": { 1341 "id": "2p11csc", 1342 "type": "scholium" 1343 }, 1344 "2p11d": { 1345 "id": "2p11d", 1346 "ref": [ 1347 "2p10c", 1348 "2ax2", 1349 "2ax3", 1350 "2ax3", 1351 "2p8c", 1352 "1p21", 1353 "1p22", 1354 "2ax1" 1355 ], 1356 "type": "demonstratio" 1357 }, 1358 "2p12": { 1359 "id": "2p12", 1360 "children": [ 1361 "2p12d", 1362 "2p12sc" 1363 ], 1364 "type": "propositio", 1365 "number": 12 1366 }, 1367 "2p12d": { 1368 "id": "2p12d", 1369 "ref": [ 1370 "2p9c", 1371 "2p11", 1372 "2p11c" 1373 ], 1374 "type": "demonstratio" 1375 }, 1376 "2p12sc": { 1377 "id": "2p12sc", 1378 "ref": [ 1379 "2p7csc" 1380 ], 1381 "type": "scholium" 1382 }, 1383 "2p13": { 1384 "id": "2p13", 1385 "children": [ 1386 "2p13d", 1387 "2p13c", 1388 "2p13sc", 1389 "2p13ax1", 1390 "2p13ax2", 1391 "2p13l1", 1392 "2p13l2", 1393 "2p13l3", 1394 "2p13ax1a", 1395 "2p13ax2a", 1396 "2p13def", 1397 "2p13ax3", 1398 "2p13l4", 1399 "2p13l5", 1400 "2p13l6", 1401 "2p13l7", 1402 "2p13post" 1403 ], 1404 "type": "propositio", 1405 "number": 13 1406 }, 1407 "2p13ax1": { 1408 "id": "2p13ax1", 1409 "type": "axioma", 1410 "number": 1 1411 }, 1412 "2p13ax1a": { 1413 "id": "2p13ax1a", 1414 "type": "axioma", 1415 "number": "1a" 1416 }, 1417 "2p13ax2": { 1418 "id": "2p13ax2", 1419 "type": "axioma", 1420 "number": 2 1421 }, 1422 "2p13ax2a": { 1423 "id": "2p13ax2a", 1424 "type": "axioma", 1425 "number": "2a" 1426 }, 1427 "2p13ax3": { 1428 "id": "2p13ax3", 1429 "type": "axioma", 1430 "number": 3 1431 }, 1432 "2p13c": { 1433 "id": "2p13c", 1434 "type": "corollarium" 1435 }, 1436 "2p13d": { 1437 "id": "2p13d", 1438 "ref": [ 1439 "2p9c", 1440 "2p11c", 1441 "2ax4", 1442 "2p11", 1443 "1p36", 1444 "2p12", 1445 "2ax5" 1446 ], 1447 "type": "demonstratio" 1448 }, 1449 "2p13def": { 1450 "id": "2p13def", 1451 "type": "definitio" 1452 }, 1453 "2p13l1": { 1454 "id": "2p13l1", 1455 "children": [ 1456 "2p13l1d" 1457 ], 1458 "type": "lemma", 1459 "number": 1 1460 }, 1461 "2p13l1d": { 1462 "id": "2p13l1d", 1463 "ref": [ 1464 "1p5", 1465 "1p8", 1466 "1p15sc" 1467 ], 1468 "type": "demonstratio" 1469 }, 1470 "2p13l2": { 1471 "id": "2p13l2", 1472 "children": [ 1473 "2p13l2d" 1474 ], 1475 "type": "lemma", 1476 "number": 2 1477 }, 1478 "2p13l2d": { 1479 "id": "2p13l2d", 1480 "ref": [ 1481 "2def1" 1482 ], 1483 "type": "demonstratio" 1484 }, 1485 "2p13l3": { 1486 "id": "2p13l3", 1487 "children": [ 1488 "2p13l3d", 1489 "2p13l3c" 1490 ], 1491 "type": "lemma", 1492 "number": 3 1493 }, 1494 "2p13l3c": { 1495 "id": "2p13l3c", 1496 "type": "corollarium" 1497 }, 1498 "2p13l3d": { 1499 "id": "2p13l3d", 1500 "ref": [ 1501 "2def1", 1502 "2p13l1", 1503 "1p28", 1504 "2p6", 1505 "2ax1" 1506 ], 1507 "type": "demonstratio" 1508 }, 1509 "2p13l4": { 1510 "id": "2p13l4", 1511 "children": [ 1512 "2p13l4d" 1513 ], 1514 "type": "lemma", 1515 "number": 4 1516 }, 1517 "2p13l4d": { 1518 "id": "2p13l4d", 1519 "ref": [ 1520 "2p13l1", 1521 "2p13def" 1522 ], 1523 "type": "demonstratio" 1524 }, 1525 "2p13l5": { 1526 "id": "2p13l5", 1527 "children": [ 1528 "2p13l5d" 1529 ], 1530 "type": "lemma", 1531 "number": 5 1532 }, 1533 "2p13l5d": { 1534 "id": "2p13l5d", 1535 "ref": [ 1536 "2p13l1", 1537 "2p13def" 1538 ], 1539 "type": "demonstratio" 1540 }, 1541 "2p13l6": { 1542 "id": "2p13l6", 1543 "children": [ 1544 "2p13l6d" 1545 ], 1546 "type": "lemma", 1547 "number": 6 1548 }, 1549 "2p13l6d": { 1550 "id": "2p13l6d", 1551 "type": "demonstratio" 1552 }, 1553 "2p13l7": { 1554 "id": "2p13l7", 1555 "children": [ 1556 "2p13l7d", 1557 "2p13l7sc" 1558 ], 1559 "type": "lemma", 1560 "number": 7 1561 }, 1562 "2p13l7d": { 1563 "id": "2p13l7d", 1564 "ref": [ 1565 "2p13def" 1566 ], 1567 "type": "demonstratio" 1568 }, 1569 "2p13l7sc": { 1570 "id": "2p13l7sc", 1571 "ref": [ 1572 "2p13l7" 1573 ], 1574 "type": "scholium" 1575 }, 1576 "2p13post": { 1577 "id": "2p13post", 1578 "type": "postulata", 1579 "children": [ 1580 "2p13post1", 1581 "2p13post2", 1582 "2p13post3", 1583 "2p13post4", 1584 "2p13post5", 1585 "2p13post6" 1586 ] 1587 }, 1588 "2p13post1": { 1589 "id": "2p13post1", 1590 "type": "postulatum", 1591 "number": 1 1592 }, 1593 "2p13post2": { 1594 "id": "2p13post2", 1595 "type": "postulatum", 1596 "number": 2 1597 }, 1598 "2p13post3": { 1599 "id": "2p13post3", 1600 "type": "postulatum", 1601 "number": 3 1602 }, 1603 "2p13post4": { 1604 "id": "2p13post4", 1605 "type": "postulatum", 1606 "number": 4 1607 }, 1608 "2p13post5": { 1609 "id": "2p13post5", 1610 "type": "postulatum", 1611 "number": 5 1612 }, 1613 "2p13post6": { 1614 "id": "2p13post6", 1615 "type": "postulatum", 1616 "number": 6 1617 }, 1618 "2p13sc": { 1619 "id": "2p13sc", 1620 "type": "scholium" 1621 }, 1622 "2p14": { 1623 "id": "2p14", 1624 "children": [ 1625 "2p14d" 1626 ], 1627 "type": "propositio", 1628 "number": 14 1629 }, 1630 "2p14d": { 1631 "id": "2p14d", 1632 "ref": [ 1633 "2p13post3", 1634 "2p13post6", 1635 "2p12" 1636 ], 1637 "type": "demonstratio" 1638 }, 1639 "2p15": { 1640 "id": "2p15", 1641 "children": [ 1642 "2p15d" 1643 ], 1644 "type": "propositio", 1645 "number": 15 1646 }, 1647 "2p15d": { 1648 "id": "2p15d", 1649 "ref": [ 1650 "2p13", 1651 "2p13post1", 1652 "2p8c", 1653 "2p7" 1654 ], 1655 "type": "demonstratio" 1656 }, 1657 "2p16": { 1658 "id": "2p16", 1659 "children": [ 1660 "2p16d", 1661 "2p16c1", 1662 "2p16c2" 1663 ], 1664 "type": "propositio", 1665 "number": 16 1666 }, 1667 "2p16c1": { 1668 "id": "2p16c1", 1669 "type": "corollarium", 1670 "number": 1 1671 }, 1672 "2p16c2": { 1673 "id": "2p16c2", 1674 "ref": [ 1675 "1app" 1676 ], 1677 "type": "corollarium", 1678 "number": 2 1679 }, 1680 "2p16d": { 1681 "id": "2p16d", 1682 "ref": [ 1683 "2p13ax1a", 1684 "1ax4" 1685 ], 1686 "type": "demonstratio" 1687 }, 1688 "2p17": { 1689 "id": "2p17", 1690 "children": [ 1691 "2p17d", 1692 "2p17c" 1693 ], 1694 "type": "propositio", 1695 "number": 17 1696 }, 1697 "2p17c": { 1698 "id": "2p17c", 1699 "children": [ 1700 "2p17cd", 1701 "2p17csc" 1702 ], 1703 "type": "corollarium" 1704 }, 1705 "2p17cd": { 1706 "id": "2p17cd", 1707 "ref": [ 1708 "2p13post5", 1709 "2p13ax2a", 1710 "2p12", 1711 "2p17" 1712 ], 1713 "type": "demonstratio" 1714 }, 1715 "2p17csc": { 1716 "id": "2p17csc", 1717 "ref": [ 1718 "2p13c", 1719 "2p17c", 1720 "2p16c2", 1721 "1def7" 1722 ], 1723 "type": "scholium" 1724 }, 1725 "2p17d": { 1726 "id": "2p17d", 1727 "ref": [ 1728 "2p12", 1729 "2p16", 1730 "2p16c1" 1731 ], 1732 "type": "demonstratio" 1733 }, 1734 "2p18": { 1735 "id": "2p18", 1736 "children": [ 1737 "2p18d", 1738 "2p18sc" 1739 ], 1740 "type": "propositio", 1741 "number": 18 1742 }, 1743 "2p18d": { 1744 "id": "2p18d", 1745 "ref": [ 1746 "2p17c" 1747 ], 1748 "type": "demonstratio" 1749 }, 1750 "2p18sc": { 1751 "id": "2p18sc", 1752 "ref": [ 1753 "2p16" 1754 ], 1755 "type": "scholium" 1756 }, 1757 "2p19": { 1758 "id": "2p19", 1759 "children": [ 1760 "2p19d" 1761 ], 1762 "type": "propositio", 1763 "number": 19 1764 }, 1765 "2p19d": { 1766 "id": "2p19d", 1767 "ref": [ 1768 "2p13", 1769 "2p9", 1770 "2p13post4", 1771 "2p7", 1772 "2p11c", 1773 "2p12", 1774 "2p16", 1775 "2p17" 1776 ], 1777 "type": "demonstratio" 1778 }, 1779 "2p1d": { 1780 "id": "2p1d", 1781 "ref": [ 1782 "1p25c", 1783 "1def5", 1784 "1def6" 1785 ], 1786 "type": "demonstratio" 1787 }, 1788 "2p1sc": { 1789 "id": "2p1sc", 1790 "ref": [ 1791 "1def4", 1792 "1def6" 1793 ], 1794 "type": "scholium" 1795 }, 1796 "2p2": { 1797 "id": "2p2", 1798 "children": [ 1799 "2p2d" 1800 ], 1801 "type": "propositio", 1802 "number": 2 1803 }, 1804 "2p20": { 1805 "id": "2p20", 1806 "children": [ 1807 "2p20d" 1808 ], 1809 "type": "propositio", 1810 "number": 20 1811 }, 1812 "2p20d": { 1813 "id": "2p20d", 1814 "ref": [ 1815 "2p1", 1816 "2p3", 1817 "2p11", 1818 "2p9", 1819 "2p7" 1820 ], 1821 "type": "demonstratio" 1822 }, 1823 "2p21": { 1824 "id": "2p21", 1825 "children": [ 1826 "2p21d", 1827 "2p21sc" 1828 ], 1829 "type": "propositio", 1830 "number": 21 1831 }, 1832 "2p21d": { 1833 "id": "2p21d", 1834 "ref": [ 1835 "2p12", 1836 "2p13" 1837 ], 1838 "type": "demonstratio" 1839 }, 1840 "2p21sc": { 1841 "id": "2p21sc", 1842 "ref": [ 1843 "2p7csc", 1844 "2p13" 1845 ], 1846 "type": "scholium" 1847 }, 1848 "2p22": { 1849 "id": "2p22", 1850 "children": [ 1851 "2p22d" 1852 ], 1853 "type": "propositio", 1854 "number": 22 1855 }, 1856 "2p22d": { 1857 "id": "2p22d", 1858 "ref": [ 1859 "2p20", 1860 "2p12", 1861 "2p11c", 1862 "2p21" 1863 ], 1864 "type": "demonstratio" 1865 }, 1866 "2p23": { 1867 "id": "2p23", 1868 "children": [ 1869 "2p23d" 1870 ], 1871 "type": "propositio", 1872 "number": 23 1873 }, 1874 "2p23d": { 1875 "id": "2p23d", 1876 "ref": [ 1877 "2p20", 1878 "2p19", 1879 "2p11c", 1880 "2p11c", 1881 "2p16", 1882 "2p13", 1883 "2p22" 1884 ], 1885 "type": "demonstratio" 1886 }, 1887 "2p24": { 1888 "id": "2p24", 1889 "children": [ 1890 "2p24d" 1891 ], 1892 "type": "propositio", 1893 "number": 24 1894 }, 1895 "2p24d": { 1896 "id": "2p24d", 1897 "ref": [ 1898 "2p13def", 1899 "2p13post1", 1900 "2p13l4", 1901 "2p13ax1a", 1902 "2p3", 1903 "2p9", 1904 "2p7", 1905 "2p13", 1906 "2p11c" 1907 ], 1908 "type": "demonstratio" 1909 }, 1910 "2p25": { 1911 "id": "2p25", 1912 "children": [ 1913 "2p25d" 1914 ], 1915 "type": "propositio", 1916 "number": 25 1917 }, 1918 "2p25d": { 1919 "id": "2p25d", 1920 "ref": [ 1921 "2p16", 1922 "2p9", 1923 "2p7" 1924 ], 1925 "type": "demonstratio" 1926 }, 1927 "2p26": { 1928 "id": "2p26", 1929 "children": [ 1930 "2p26d", 1931 "2p26c" 1932 ], 1933 "type": "propositio", 1934 "number": 26 1935 }, 1936 "2p26c": { 1937 "id": "2p26c", 1938 "children": [ 1939 "2p26cd" 1940 ], 1941 "type": "corollarium" 1942 }, 1943 "2p26cd": { 1944 "id": "2p26cd", 1945 "ref": [ 1946 "2p17csc", 1947 "2p26", 1948 "2p25" 1949 ], 1950 "type": "demonstratio" 1951 }, 1952 "2p26d": { 1953 "id": "2p26d", 1954 "ref": [ 1955 "2p7", 1956 "2p13", 1957 "2p16", 1958 "2p16c1" 1959 ], 1960 "type": "demonstratio" 1961 }, 1962 "2p27": { 1963 "id": "2p27", 1964 "children": [ 1965 "2p27d" 1966 ], 1967 "type": "propositio", 1968 "number": 27 1969 }, 1970 "2p27d": { 1971 "id": "2p27d", 1972 "ref": [ 1973 "2p16", 1974 "2p25" 1975 ], 1976 "type": "demonstratio" 1977 }, 1978 "2p28": { 1979 "id": "2p28", 1980 "children": [ 1981 "2p28d", 1982 "2p28sc" 1983 ], 1984 "type": "propositio", 1985 "number": 28 1986 }, 1987 "2p28d": { 1988 "id": "2p28d", 1989 "ref": [ 1990 "2p16", 1991 "2p13post3", 1992 "2p24", 1993 "2p25" 1994 ], 1995 "type": "demonstratio" 1996 }, 1997 "2p28sc": { 1998 "id": "2p28sc", 1999 "type": "scholium" 2000 }, 2001 "2p29": { 2002 "id": "2p29", 2003 "children": [ 2004 "2p29d", 2005 "2p29c" 2006 ], 2007 "type": "propositio", 2008 "number": 29 2009 }, 2010 "2p29c": { 2011 "id": "2p29c", 2012 "children": [ 2013 "2p29csc" 2014 ], 2015 "ref": [ 2016 "2p23", 2017 "2p19", 2018 "2p26", 2019 "2p29", 2020 "2p27", 2021 "2p25", 2022 "2p28", 2023 "2p28sc" 2024 ], 2025 "type": "corollarium" 2026 }, 2027 "2p29csc": { 2028 "id": "2p29csc", 2029 "type": "scholium" 2030 }, 2031 "2p29d": { 2032 "id": "2p29d", 2033 "ref": [ 2034 "2p27", 2035 "2p13", 2036 "1ax6" 2037 ], 2038 "type": "demonstratio" 2039 }, 2040 "2p2d": { 2041 "id": "2p2d", 2042 "ref": [ 2043 "1def5", 2044 "1def6", 2045 "1p25c" 2046 ], 2047 "type": "demonstratio" 2048 }, 2049 "2p3": { 2050 "id": "2p3", 2051 "children": [ 2052 "2p3d", 2053 "2p3sc" 2054 ], 2055 "type": "propositio", 2056 "number": 3 2057 }, 2058 "2p30": { 2059 "id": "2p30", 2060 "children": [ 2061 "2p30d" 2062 ], 2063 "type": "propositio", 2064 "number": 30 2065 }, 2066 "2p30d": { 2067 "id": "2p30d", 2068 "ref": [ 2069 "2ax1", 2070 "1p21", 2071 "1p28", 2072 "2p9c", 2073 "2p11c" 2074 ], 2075 "type": "demonstratio" 2076 }, 2077 "2p31": { 2078 "id": "2p31", 2079 "children": [ 2080 "2p31d", 2081 "2p31c" 2082 ], 2083 "type": "propositio", 2084 "number": 31 2085 }, 2086 "2p31c": { 2087 "id": "2p31c", 2088 "ref": [ 2089 "1p31", 2090 "1p33sc1", 2091 "1p29" 2092 ], 2093 "type": "corollarium" 2094 }, 2095 "2p31d": { 2096 "id": "2p31d", 2097 "ref": [ 2098 "1p28" 2099 ], 2100 "type": "demonstratio" 2101 }, 2102 "2p32": { 2103 "id": "2p32", 2104 "children": [ 2105 "2p32d" 2106 ], 2107 "type": "propositio", 2108 "number": 32 2109 }, 2110 "2p32d": { 2111 "id": "2p32d", 2112 "ref": [ 2113 "2p7c", 2114 "1ax6" 2115 ], 2116 "type": "demonstratio" 2117 }, 2118 "2p33": { 2119 "id": "2p33", 2120 "children": [ 2121 "2p33d" 2122 ], 2123 "type": "propositio", 2124 "number": 33 2125 }, 2126 "2p33d": { 2127 "id": "2p33d", 2128 "ref": [ 2129 "2p32", 2130 "1p15" 2131 ], 2132 "type": "demonstratio" 2133 }, 2134 "2p34": { 2135 "id": "2p34", 2136 "children": [ 2137 "2p34d" 2138 ], 2139 "type": "propositio", 2140 "number": 34 2141 }, 2142 "2p34d": { 2143 "id": "2p34d", 2144 "ref": [ 2145 "2p11c", 2146 "2p32" 2147 ], 2148 "type": "demonstratio" 2149 }, 2150 "2p35": { 2151 "id": "2p35", 2152 "children": [ 2153 "2p35d", 2154 "2p35sc" 2155 ], 2156 "type": "propositio", 2157 "number": 35 2158 }, 2159 "2p35d": { 2160 "id": "2p35d", 2161 "ref": [ 2162 "2p33" 2163 ], 2164 "type": "demonstratio" 2165 }, 2166 "2p35sc": { 2167 "id": "2p35sc", 2168 "ref": [ 2169 "2p17csc" 2170 ], 2171 "type": "scholium" 2172 }, 2173 "2p36": { 2174 "id": "2p36", 2175 "children": [ 2176 "2p36d" 2177 ], 2178 "type": "propositio", 2179 "number": 36 2180 }, 2181 "2p36d": { 2182 "id": "2p36d", 2183 "ref": [ 2184 "1p15", 2185 "2p32", 2186 "2p7c", 2187 "2p24", 2188 "2p28", 2189 "2p6c" 2190 ], 2191 "type": "demonstratio" 2192 }, 2193 "2p37": { 2194 "id": "2p37", 2195 "children": [ 2196 "2p37d" 2197 ], 2198 "ref": [ 2199 "2p13l2" 2200 ], 2201 "type": "propositio", 2202 "number": 37 2203 }, 2204 "2p37d": { 2205 "id": "2p37d", 2206 "ref": [ 2207 "2def2" 2208 ], 2209 "type": "demonstratio" 2210 }, 2211 "2p38": { 2212 "id": "2p38", 2213 "children": [ 2214 "2p38d", 2215 "2p38c" 2216 ], 2217 "type": "propositio", 2218 "number": 38 2219 }, 2220 "2p38c": { 2221 "id": "2p38c", 2222 "ref": [ 2223 "2p13l2", 2224 "2p38" 2225 ], 2226 "type": "corollarium" 2227 }, 2228 "2p38d": { 2229 "id": "2p38d", 2230 "ref": [ 2231 "2p7c", 2232 "2p16", 2233 "2p25", 2234 "2p27", 2235 "2p12", 2236 "2p13", 2237 "2p11c" 2238 ], 2239 "type": "demonstratio" 2240 }, 2241 "2p39": { 2242 "id": "2p39", 2243 "children": [ 2244 "2p39d", 2245 "2p39c" 2246 ], 2247 "type": "propositio", 2248 "number": 39 2249 }, 2250 "2p39c": { 2251 "id": "2p39c", 2252 "type": "corollarium" 2253 }, 2254 "2p39d": { 2255 "id": "2p39d", 2256 "ref": [ 2257 "2p7c", 2258 "2p16", 2259 "2p7c", 2260 "2p13", 2261 "2p11c" 2262 ], 2263 "type": "demonstratio" 2264 }, 2265 "2p3d": { 2266 "id": "2p3d", 2267 "ref": [ 2268 "2p1", 2269 "1p16", 2270 "1p35", 2271 "1p15" 2272 ], 2273 "type": "demonstratio" 2274 }, 2275 "2p3sc": { 2276 "id": "2p3sc", 2277 "ref": [ 2278 "1p32c1", 2279 "1p32c2", 2280 "1p16", 2281 "1p34" 2282 ], 2283 "type": "scholium" 2284 }, 2285 "2p4": { 2286 "id": "2p4", 2287 "children": [ 2288 "2p4d" 2289 ], 2290 "type": "propositio", 2291 "number": 4 2292 }, 2293 "2p40": { 2294 "id": "2p40", 2295 "children": [ 2296 "2p40d", 2297 "2p40sc1", 2298 "2p40sc2" 2299 ], 2300 "type": "propositio", 2301 "number": 40 2302 }, 2303 "2p40d": { 2304 "id": "2p40d", 2305 "ref": [ 2306 "2p11c" 2307 ], 2308 "type": "demonstratio" 2309 }, 2310 "2p40sc1": { 2311 "id": "2p40sc1", 2312 "ref": [ 2313 "2p17csc", 2314 "2p17c", 2315 "2p18" 2316 ], 2317 "type": "scholium", 2318 "number": 1 2319 }, 2320 "2p40sc2": { 2321 "id": "2p40sc2", 2322 "ref": [ 2323 "2p29c", 2324 "2p18sc", 2325 "2p38c", 2326 "2p39", 2327 "2p39c", 2328 "2p40" 2329 ], 2330 "type": "scholium", 2331 "number": 2 2332 }, 2333 "2p41": { 2334 "id": "2p41", 2335 "children": [ 2336 "2p41d" 2337 ], 2338 "type": "propositio", 2339 "number": 41 2340 }, 2341 "2p41d": { 2342 "id": "2p41d", 2343 "ref": [ 2344 "2p35", 2345 "2p34" 2346 ], 2347 "type": "demonstratio" 2348 }, 2349 "2p42": { 2350 "id": "2p42", 2351 "children": [ 2352 "2p42d" 2353 ], 2354 "type": "propositio", 2355 "number": 42 2356 }, 2357 "2p42d": { 2358 "id": "2p42d", 2359 "ref": [ 2360 "2p40sc2" 2361 ], 2362 "type": "demonstratio" 2363 }, 2364 "2p43": { 2365 "id": "2p43", 2366 "children": [ 2367 "2p43d", 2368 "2p43sc" 2369 ], 2370 "type": "propositio", 2371 "number": 43 2372 }, 2373 "2p43d": { 2374 "id": "2p43d", 2375 "ref": [ 2376 "2p11c", 2377 "2p20", 2378 "2p11c", 2379 "2p34" 2380 ], 2381 "type": "demonstratio" 2382 }, 2383 "2p43sc": { 2384 "id": "2p43sc", 2385 "ref": [ 2386 "2p21sc", 2387 "2p35", 2388 "1p19", 2389 "2p20", 2390 "2p21", 2391 "2p22", 2392 "2p23", 2393 "2p24", 2394 "2p25", 2395 "2p26", 2396 "2p27", 2397 "2p28", 2398 "2p29", 2399 "2p30", 2400 "2p31", 2401 "2p32", 2402 "2p33", 2403 "2p34", 2404 "2p35", 2405 "2p35sc", 2406 "2p11c" 2407 ], 2408 "type": "scholium" 2409 }, 2410 "2p44": { 2411 "id": "2p44", 2412 "children": [ 2413 "2p44d", 2414 "2p44c1", 2415 "2p44c2" 2416 ], 2417 "type": "propositio", 2418 "number": 44 2419 }, 2420 "2p44c1": { 2421 "id": "2p44c1", 2422 "children": [ 2423 "2p44c1sc" 2424 ], 2425 "type": "corollarium", 2426 "number": 1 2427 }, 2428 "2p44c1sc": { 2429 "id": "2p44c1sc", 2430 "ref": [ 2431 "2p17", 2432 "2p17c", 2433 "2p18" 2434 ], 2435 "type": "scholium" 2436 }, 2437 "2p44c2": { 2438 "id": "2p44c2", 2439 "children": [ 2440 "2p44c2d" 2441 ], 2442 "type": "corollarium", 2443 "number": 2 2444 }, 2445 "2p44c2d": { 2446 "id": "2p44c2d", 2447 "ref": [ 2448 "2p44", 2449 "2p41", 2450 "1ax6", 2451 "1p16", 2452 "2p38", 2453 "2p37" 2454 ], 2455 "type": "demonstratio" 2456 }, 2457 "2p44d": { 2458 "id": "2p44d", 2459 "ref": [ 2460 "2p41", 2461 "1ax6", 2462 "1p29" 2463 ], 2464 "type": "demonstratio" 2465 }, 2466 "2p45": { 2467 "id": "2p45", 2468 "children": [ 2469 "2p45d", 2470 "2p45sc" 2471 ], 2472 "type": "propositio", 2473 "number": 45 2474 }, 2475 "2p45d": { 2476 "id": "2p45d", 2477 "ref": [ 2478 "2p8c", 2479 "1p15", 2480 "2p6", 2481 "1ax4", 2482 "1def6" 2483 ], 2484 "type": "demonstratio" 2485 }, 2486 "2p45sc": { 2487 "id": "2p45sc", 2488 "ref": [ 2489 "1p16", 2490 "1p24c" 2491 ], 2492 "type": "scholium" 2493 }, 2494 "2p46": { 2495 "id": "2p46", 2496 "children": [ 2497 "2p46d" 2498 ], 2499 "type": "propositio", 2500 "number": 46 2501 }, 2502 "2p46d": { 2503 "id": "2p46d", 2504 "ref": [ 2505 "2p45", 2506 "2p38" 2507 ], 2508 "type": "demonstratio" 2509 }, 2510 "2p47": { 2511 "id": "2p47", 2512 "children": [ 2513 "2p47d", 2514 "2p47sc" 2515 ], 2516 "type": "propositio", 2517 "number": 47 2518 }, 2519 "2p47d": { 2520 "id": "2p47d", 2521 "ref": [ 2522 "2p22", 2523 "2p23", 2524 "2p19", 2525 "2p16c1", 2526 "2p17", 2527 "2p45", 2528 "2p46" 2529 ], 2530 "type": "demonstratio" 2531 }, 2532 "2p47sc": { 2533 "id": "2p47sc", 2534 "ref": [ 2535 "2p40sc2" 2536 ], 2537 "type": "scholium" 2538 }, 2539 "2p48": { 2540 "id": "2p48", 2541 "children": [ 2542 "2p48d", 2543 "2p48sc" 2544 ], 2545 "type": "propositio", 2546 "number": 48 2547 }, 2548 "2p48d": { 2549 "id": "2p48d", 2550 "ref": [ 2551 "2p11", 2552 "1p17c2", 2553 "1p28" 2554 ], 2555 "type": "demonstratio" 2556 }, 2557 "2p48sc": { 2558 "id": "2p48sc", 2559 "ref": [ 2560 "2p11", 2561 "1p17c2", 2562 "1p28" 2563 ], 2564 "type": "scholium" 2565 }, 2566 "2p49": { 2567 "id": "2p49", 2568 "children": [ 2569 "2p49d", 2570 "2p49c" 2571 ], 2572 "type": "propositio", 2573 "number": 49 2574 }, 2575 "2p49c": { 2576 "id": "2p49c", 2577 "children": [ 2578 "2p49cd", 2579 "2p49csc" 2580 ], 2581 "type": "corollarium" 2582 }, 2583 "2p49cd": { 2584 "id": "2p49cd", 2585 "ref": [ 2586 "2p48", 2587 "2p48sc", 2588 "2p49" 2589 ], 2590 "type": "demonstratio" 2591 }, 2592 "2p49csc": { 2593 "id": "2p49csc", 2594 "ref": [ 2595 "2p44c1sc", 2596 "2p43", 2597 "2p43sc", 2598 "2p17c", 2599 "2p17csc", 2600 "2p35", 2601 "2p35sc", 2602 "2p47sc" 2603 ], 2604 "type": "scholium" 2605 }, 2606 "2p49d": { 2607 "id": "2p49d", 2608 "ref": [ 2609 "2p48", 2610 "2ax3", 2611 "2def2" 2612 ], 2613 "type": "demonstratio" 2614 }, 2615 "2p4d": { 2616 "id": "2p4d", 2617 "ref": [ 2618 "1p30", 2619 "1p14c1" 2620 ], 2621 "type": "demonstratio" 2622 }, 2623 "2p5": { 2624 "id": "2p5", 2625 "children": [ 2626 "2p5d" 2627 ], 2628 "type": "propositio", 2629 "number": 5 2630 }, 2631 "2p5d": { 2632 "id": "2p5d", 2633 "ref": [ 2634 "2p3", 2635 "1p25c", 2636 "1p10", 2637 "1ax4" 2638 ], 2639 "type": "demonstratio" 2640 }, 2641 "2p6": { 2642 "id": "2p6", 2643 "children": [ 2644 "2p6d", 2645 "2p6c" 2646 ], 2647 "type": "propositio", 2648 "number": 6 2649 }, 2650 "2p6c": { 2651 "id": "2p6c", 2652 "type": "corollarium" 2653 }, 2654 "2p6d": { 2655 "id": "2p6d", 2656 "ref": [ 2657 "1p10", 2658 "1ax4" 2659 ], 2660 "type": "demonstratio" 2661 }, 2662 "2p7": { 2663 "id": "2p7", 2664 "children": [ 2665 "2p7d", 2666 "2p7c" 2667 ], 2668 "type": "propositio", 2669 "number": 7 2670 }, 2671 "2p7c": { 2672 "id": "2p7c", 2673 "children": [ 2674 "2p7csc" 2675 ], 2676 "type": "corollarium" 2677 }, 2678 "2p7csc": { 2679 "id": "2p7csc", 2680 "type": "scholium" 2681 }, 2682 "2p7d": { 2683 "id": "2p7d", 2684 "ref": [ 2685 "1ax4" 2686 ], 2687 "type": "demonstratio" 2688 }, 2689 "2p8": { 2690 "id": "2p8", 2691 "children": [ 2692 "2p8d", 2693 "2p8c" 2694 ], 2695 "type": "propositio", 2696 "number": 8 2697 }, 2698 "2p8c": { 2699 "id": "2p8c", 2700 "children": [ 2701 "2p8csc" 2702 ], 2703 "type": "corollarium" 2704 }, 2705 "2p8csc": { 2706 "id": "2p8csc", 2707 "type": "scholium" 2708 }, 2709 "2p8d": { 2710 "id": "2p8d", 2711 "ref": [ 2712 "2p7", 2713 "2p7csc" 2714 ], 2715 "type": "demonstratio" 2716 }, 2717 "2p9": { 2718 "id": "2p9", 2719 "children": [ 2720 "2p9d", 2721 "2p9c" 2722 ], 2723 "type": "propositio", 2724 "number": 9 2725 }, 2726 "2p9c": { 2727 "id": "2p9c", 2728 "children": [ 2729 "2p9cd" 2730 ], 2731 "type": "corollarium" 2732 }, 2733 "2p9cd": { 2734 "id": "2p9cd", 2735 "ref": [ 2736 "2p3", 2737 "2p9", 2738 "2p7" 2739 ], 2740 "type": "demonstratio" 2741 }, 2742 "2p9d": { 2743 "id": "2p9d", 2744 "ref": [ 2745 "2p8c", 2746 "2p8csc", 2747 "2p6", 2748 "1p28", 2749 "2p7" 2750 ], 2751 "type": "demonstratio" 2752 }, 2753 "2pr": { 2754 "id": "2pr", 2755 "ref": [ 2756 "1p16" 2757 ], 2758 "type": "praefatio" 2759 }, 2760 "3": { 2761 "id": "3", 2762 "children": [ 2763 "3pr", 2764 "3def", 2765 "3post", 2766 "3p1", 2767 "3p2", 2768 "3p3", 2769 "3p4", 2770 "3p5", 2771 "3p6", 2772 "3p7", 2773 "3p8", 2774 "3p9", 2775 "3p10", 2776 "3p11", 2777 "3p12", 2778 "3p13", 2779 "3p14", 2780 "3p15", 2781 "3p16", 2782 "3p17", 2783 "3p18", 2784 "3p19", 2785 "3p20", 2786 "3p21", 2787 "3p22", 2788 "3p23", 2789 "3p24", 2790 "3p25", 2791 "3p26", 2792 "3p27", 2793 "3p28", 2794 "3p29", 2795 "3p30", 2796 "3p31", 2797 "3p32", 2798 "3p33", 2799 "3p34", 2800 "3p35", 2801 "3p36", 2802 "3p37", 2803 "3p38", 2804 "3p39", 2805 "3p40", 2806 "3p41", 2807 "3p42", 2808 "3p43", 2809 "3p44", 2810 "3p45", 2811 "3p46", 2812 "3p47", 2813 "3p48", 2814 "3p49", 2815 "3p50", 2816 "3p51", 2817 "3p52", 2818 "3p53", 2819 "3p54", 2820 "3p55", 2821 "3p56", 2822 "3p57", 2823 "3p58", 2824 "3p59", 2825 "3ad", 2826 "3agd" 2827 ], 2828 "type": "pars", 2829 "number": 3, 2830 "title": "De origine et natura affectuum" 2831 }, 2832 "3ad": { 2833 "id": "3ad", 2834 "children": [ 2835 "3ad1", 2836 "3ad2", 2837 "3ad3", 2838 "3ad4", 2839 "3ad5", 2840 "3ad6", 2841 "3ad7", 2842 "3ad8", 2843 "3ad9", 2844 "3ad10", 2845 "3ad11", 2846 "3ad12", 2847 "3ad13", 2848 "3ad14", 2849 "3ad15", 2850 "3ad16", 2851 "3ad17", 2852 "3ad18", 2853 "3ad19", 2854 "3ad20", 2855 "3ad21", 2856 "3ad22", 2857 "3ad23", 2858 "3ad24", 2859 "3ad25", 2860 "3ad26", 2861 "3ad27", 2862 "3ad28", 2863 "3ad29", 2864 "3ad30", 2865 "3ad31", 2866 "3ad32", 2867 "3ad33", 2868 "3ad34", 2869 "3ad35", 2870 "3ad36", 2871 "3ad37", 2872 "3ad38", 2873 "3ad39", 2874 "3ad40", 2875 "3ad41", 2876 "3ad42", 2877 "3ad43", 2878 "3ad44", 2879 "3ad45", 2880 "3ad46", 2881 "3ad47", 2882 "3ad48" 2883 ], 2884 "type": "affectuum_definitiones" 2885 }, 2886 "3ad1": { 2887 "id": "3ad1", 2888 "children": [ 2889 "3ad1e" 2890 ], 2891 "type": "definitio", 2892 "number": 1 2893 }, 2894 "3ad10": { 2895 "id": "3ad10", 2896 "children": [ 2897 "3ad10e" 2898 ], 2899 "type": "definitio", 2900 "number": 10 2901 }, 2902 "3ad10e": { 2903 "id": "3ad10e", 2904 "ref": [ 2905 "3p52" 2906 ], 2907 "type": "explicatio" 2908 }, 2909 "3ad11": { 2910 "id": "3ad11", 2911 "children": [ 2912 "3ad11e" 2913 ], 2914 "type": "definitio", 2915 "number": 11 2916 }, 2917 "3ad11e": { 2918 "id": "3ad11e", 2919 "ref": [ 2920 "3p52sc", 2921 "3p20", 2922 "3p47sc" 2923 ], 2924 "type": "explicatio" 2925 }, 2926 "3ad12": { 2927 "id": "3ad12", 2928 "ref": [ 2929 "3p18sc2", 2930 "3p19", 2931 "3p20" 2932 ], 2933 "type": "definitio", 2934 "number": 12 2935 }, 2936 "3ad13": { 2937 "id": "3ad13", 2938 "children": [ 2939 "3ad13e" 2940 ], 2941 "ref": [ 2942 "3p18sc2" 2943 ], 2944 "type": "definitio", 2945 "number": 13 2946 }, 2947 "3ad13e": { 2948 "id": "3ad13e", 2949 "ref": [ 2950 "3p19", 2951 "3p20" 2952 ], 2953 "type": "explicatio" 2954 }, 2955 "3ad14": { 2956 "id": "3ad14", 2957 "ref": [ 2958 "2p31c", 2959 "2p49csc" 2960 ], 2961 "type": "definitio", 2962 "number": 14 2963 }, 2964 "3ad15": { 2965 "id": "3ad15", 2966 "children": [ 2967 "3ad15e" 2968 ], 2969 "type": "definitio", 2970 "number": 15 2971 }, 2972 "3ad15e": { 2973 "id": "3ad15e", 2974 "ref": [ 2975 "2p31c", 2976 "2p49csc" 2977 ], 2978 "type": "explicatio" 2979 }, 2980 "3ad16": { 2981 "id": "3ad16", 2982 "type": "definitio", 2983 "number": 16 2984 }, 2985 "3ad17": { 2986 "id": "3ad17", 2987 "type": "definitio", 2988 "number": 17 2989 }, 2990 "3ad18": { 2991 "id": "3ad18", 2992 "children": [ 2993 "3ad18e" 2994 ], 2995 "ref": [ 2996 "3p22sc", 2997 "3p27sc" 2998 ], 2999 "type": "definitio", 3000 "number": 18 3001 }, 3002 "3ad18e": { 3003 "id": "3ad18e", 3004 "ref": [ 3005 "3p22sc", 3006 "3p27c1" 3007 ], 3008 "type": "explicatio" 3009 }, 3010 "3ad19": { 3011 "id": "3ad19", 3012 "ref": [ 3013 "3p22sc", 3014 "3p27c1" 3015 ], 3016 "type": "definitio", 3017 "number": 19 3018 }, 3019 "3ad1e": { 3020 "id": "3ad1e", 3021 "ref": [ 3022 "3p9sc", 3023 "2p23", 3024 "2p23" 3025 ], 3026 "type": "explicatio" 3027 }, 3028 "3ad2": { 3029 "id": "3ad2", 3030 "ref": [ 3031 "3p11sc" 3032 ], 3033 "type": "definitio", 3034 "number": 2 3035 }, 3036 "3ad20": { 3037 "id": "3ad20", 3038 "children": [ 3039 "3ad20e" 3040 ], 3041 "type": "definitio", 3042 "number": 20 3043 }, 3044 "3ad20e": { 3045 "id": "3ad20e", 3046 "ref": [ 3047 "3p27c1", 3048 "3p22sc" 3049 ], 3050 "type": "explicatio" 3051 }, 3052 "3ad21": { 3053 "id": "3ad21", 3054 "ref": [ 3055 "3p26sc" 3056 ], 3057 "type": "definitio", 3058 "number": 21 3059 }, 3060 "3ad22": { 3061 "id": "3ad22", 3062 "children": [ 3063 "3ad22e" 3064 ], 3065 "ref": [ 3066 "3p26sc" 3067 ], 3068 "type": "definitio", 3069 "number": 22 3070 }, 3071 "3ad22e": { 3072 "id": "3ad22e", 3073 "ref": [ 3074 "3p26sc" 3075 ], 3076 "type": "explicatio" 3077 }, 3078 "3ad23": { 3079 "id": "3ad23", 3080 "children": [ 3081 "3ad23e" 3082 ], 3083 "type": "definitio", 3084 "number": 23 3085 }, 3086 "3ad23e": { 3087 "id": "3ad23e", 3088 "ref": [ 3089 "3p24sc", 3090 "3p32sc" 3091 ], 3092 "type": "explicatio" 3093 }, 3094 "3ad24": { 3095 "id": "3ad24", 3096 "children": [ 3097 "3ad24e" 3098 ], 3099 "type": "definitio", 3100 "number": 24 3101 }, 3102 "3ad24e": { 3103 "id": "3ad24e", 3104 "ref": [ 3105 "3p24sc", 3106 "3p32sc" 3107 ], 3108 "type": "explicatio" 3109 }, 3110 "3ad25": { 3111 "id": "3ad25", 3112 "type": "definitio", 3113 "number": 25 3114 }, 3115 "3ad26": { 3116 "id": "3ad26", 3117 "children": [ 3118 "3ad26e" 3119 ], 3120 "type": "definitio", 3121 "number": 26 3122 }, 3123 "3ad26e": { 3124 "id": "3ad26e", 3125 "type": "explicatio" 3126 }, 3127 "3ad27": { 3128 "id": "3ad27", 3129 "children": [ 3130 "3ad27e" 3131 ], 3132 "type": "definitio", 3133 "number": 27 3134 }, 3135 "3ad27e": { 3136 "id": "3ad27e", 3137 "ref": [ 3138 "3p51sc", 3139 "3p53", 3140 "3p54", 3141 "3p55", 3142 "3p55c1sc", 3143 "2p35sc" 3144 ], 3145 "type": "explicatio" 3146 }, 3147 "3ad28": { 3148 "id": "3ad28", 3149 "children": [ 3150 "3ad28e" 3151 ], 3152 "type": "definitio", 3153 "number": 28 3154 }, 3155 "3ad28e": { 3156 "id": "3ad28e", 3157 "ref": [ 3158 "3p26sc" 3159 ], 3160 "type": "explicatio" 3161 }, 3162 "3ad29": { 3163 "id": "3ad29", 3164 "children": [ 3165 "3ad29e" 3166 ], 3167 "type": "definitio", 3168 "number": 29 3169 }, 3170 "3ad29e": { 3171 "id": "3ad29e", 3172 "ref": [ 3173 "3p30sc", 3174 "3p13", 3175 "3p54" 3176 ], 3177 "type": "explicatio" 3178 }, 3179 "3ad3": { 3180 "id": "3ad3", 3181 "children": [ 3182 "3ad3e" 3183 ], 3184 "type": "definitio", 3185 "number": 3 3186 }, 3187 "3ad30": { 3188 "id": "3ad30", 3189 "ref": [ 3190 "3p30sc" 3191 ], 3192 "type": "definitio", 3193 "number": 30 3194 }, 3195 "3ad31": { 3196 "id": "3ad31", 3197 "children": [ 3198 "3ad31e" 3199 ], 3200 "type": "definitio", 3201 "number": 31 3202 }, 3203 "3ad31e": { 3204 "id": "3ad31e", 3205 "ref": [ 3206 "3p30sc" 3207 ], 3208 "type": "explicatio" 3209 }, 3210 "3ad32": { 3211 "id": "3ad32", 3212 "children": [ 3213 "3ad32e" 3214 ], 3215 "type": "definitio", 3216 "number": 32 3217 }, 3218 "3ad32e": { 3219 "id": "3ad32e", 3220 "ref": [ 3221 "3p47sc" 3222 ], 3223 "type": "explicatio", 3224 "number": 2 3225 }, 3226 "3ad33": { 3227 "id": "3ad33", 3228 "children": [ 3229 "3ad33e" 3230 ], 3231 "type": "definitio", 3232 "number": 33 3233 }, 3234 "3ad33e": { 3235 "id": "3ad33e", 3236 "ref": [ 3237 "3p27", 3238 "3p27sc", 3239 "3p32", 3240 "3p32sc" 3241 ], 3242 "type": "explicatio" 3243 }, 3244 "3ad34": { 3245 "id": "3ad34", 3246 "ref": [ 3247 "3p39", 3248 "3p41sc" 3249 ], 3250 "type": "definitio", 3251 "number": 34 3252 }, 3253 "3ad35": { 3254 "id": "3ad35", 3255 "ref": [ 3256 "3p27sc" 3257 ], 3258 "type": "definitio", 3259 "number": 35 3260 }, 3261 "3ad36": { 3262 "id": "3ad36", 3263 "ref": [ 3264 "3p39" 3265 ], 3266 "type": "definitio", 3267 "number": 36 3268 }, 3269 "3ad37": { 3270 "id": "3ad37", 3271 "ref": [ 3272 "3p40c2", 3273 "3p40c2sc" 3274 ], 3275 "type": "definitio", 3276 "number": 37 3277 }, 3278 "3ad38": { 3279 "id": "3ad38", 3280 "children": [ 3281 "3ad38e" 3282 ], 3283 "type": "definitio", 3284 "number": 38 3285 }, 3286 "3ad38e": { 3287 "id": "3ad38e", 3288 "type": "explicatio" 3289 }, 3290 "3ad39": { 3291 "id": "3ad39", 3292 "ref": [ 3293 "3p39sc" 3294 ], 3295 "type": "definitio", 3296 "number": 39 3297 }, 3298 "3ad3e": { 3299 "id": "3ad3e", 3300 "ref": [ 3301 "3p11sc" 3302 ], 3303 "type": "explicatio" 3304 }, 3305 "3ad4": { 3306 "id": "3ad4", 3307 "children": [ 3308 "3ad4e" 3309 ], 3310 "ref": [ 3311 "3p52", 3312 "3p52sc" 3313 ], 3314 "type": "definitio", 3315 "number": 4 3316 }, 3317 "3ad40": { 3318 "id": "3ad40", 3319 "ref": [ 3320 "3p51sc" 3321 ], 3322 "type": "definitio", 3323 "number": 40 3324 }, 3325 "3ad41": { 3326 "id": "3ad41", 3327 "children": [ 3328 "3ad41e" 3329 ], 3330 "ref": [ 3331 "3p51sc" 3332 ], 3333 "type": "definitio", 3334 "number": 41 3335 }, 3336 "3ad41e": { 3337 "id": "3ad41e", 3338 "type": "explicatio" 3339 }, 3340 "3ad42": { 3341 "id": "3ad42", 3342 "children": [ 3343 "3ad42e" 3344 ], 3345 "type": "definitio", 3346 "number": 42 3347 }, 3348 "3ad42e": { 3349 "id": "3ad42e", 3350 "ref": [ 3351 "3p39", 3352 "3p52sc", 3353 "3p51sc" 3354 ], 3355 "type": "explicatio" 3356 }, 3357 "3ad43": { 3358 "id": "3ad43", 3359 "type": "definitio", 3360 "number": 43 3361 }, 3362 "3ad44": { 3363 "id": "3ad44", 3364 "children": [ 3365 "3ad44e" 3366 ], 3367 "type": "definitio", 3368 "number": 44 3369 }, 3370 "3ad44e": { 3371 "id": "3ad44e", 3372 "ref": [ 3373 "3p27", 3374 "3p31" 3375 ], 3376 "type": "explicatio" 3377 }, 3378 "3ad45": { 3379 "id": "3ad45", 3380 "type": "definitio", 3381 "number": 45 3382 }, 3383 "3ad46": { 3384 "id": "3ad46", 3385 "type": "definitio", 3386 "number": 46 3387 }, 3388 "3ad47": { 3389 "id": "3ad47", 3390 "type": "definitio", 3391 "number": 47 3392 }, 3393 "3ad48": { 3394 "id": "3ad48", 3395 "children": [ 3396 "3ad48e" 3397 ], 3398 "type": "definitio", 3399 "number": 48 3400 }, 3401 "3ad48e": { 3402 "id": "3ad48e", 3403 "ref": [ 3404 "3p56sc", 3405 "3p29sc" 3406 ], 3407 "type": "explicatio" 3408 }, 3409 "3ad4e": { 3410 "id": "3ad4e", 3411 "ref": [ 3412 "2p18sc", 3413 "3p11sc" 3414 ], 3415 "type": "explicatio" 3416 }, 3417 "3ad5": { 3418 "id": "3ad5", 3419 "ref": [ 3420 "3p52sc" 3421 ], 3422 "type": "definitio", 3423 "number": 5 3424 }, 3425 "3ad6": { 3426 "id": "3ad6", 3427 "children": [ 3428 "3ad6e" 3429 ], 3430 "type": "definitio", 3431 "number": 6 3432 }, 3433 "3ad6e": { 3434 "id": "3ad6e", 3435 "ref": [ 3436 "2p48" 3437 ], 3438 "type": "explicatio" 3439 }, 3440 "3ad7": { 3441 "id": "3ad7", 3442 "children": [ 3443 "3ad7e" 3444 ], 3445 "type": "definitio", 3446 "number": 7 3447 }, 3448 "3ad7e": { 3449 "id": "3ad7e", 3450 "ref": [ 3451 "3p13csc" 3452 ], 3453 "type": "explicatio" 3454 }, 3455 "3ad8": { 3456 "id": "3ad8", 3457 "ref": [ 3458 "3p15csc" 3459 ], 3460 "type": "definitio", 3461 "number": 8 3462 }, 3463 "3ad9": { 3464 "id": "3ad9", 3465 "ref": [ 3466 "3p15csc" 3467 ], 3468 "type": "definitio", 3469 "number": 9 3470 }, 3471 "3agd": { 3472 "id": "3agd", 3473 "children": [ 3474 "3agde" 3475 ], 3476 "type": "affectuum_generalis_definitio" 3477 }, 3478 "3agde": { 3479 "id": "3agde", 3480 "ref": [ 3481 "3p3", 3482 "2p16c2", 3483 "2p11", 3484 "2p13" 3485 ], 3486 "type": "explicatio" 3487 }, 3488 "3def": { 3489 "id": "3def", 3490 "children": [ 3491 "3def1", 3492 "3def2", 3493 "3def3" 3494 ], 3495 "type": "definitiones" 3496 }, 3497 "3def1": { 3498 "id": "3def1", 3499 "type": "definitio", 3500 "number": 1 3501 }, 3502 "3def2": { 3503 "id": "3def2", 3504 "ref": [ 3505 "3def1" 3506 ], 3507 "type": "definitio", 3508 "number": 2 3509 }, 3510 "3def3": { 3511 "id": "3def3", 3512 "children": [ 3513 "3def3e" 3514 ], 3515 "type": "definitio", 3516 "number": 3 3517 }, 3518 "3def3e": { 3519 "id": "3def3e", 3520 "type": "explicatio" 3521 }, 3522 "3p1": { 3523 "id": "3p1", 3524 "children": [ 3525 "3p1d", 3526 "3p1c" 3527 ], 3528 "type": "propositio", 3529 "number": 1 3530 }, 3531 "3p10": { 3532 "id": "3p10", 3533 "children": [ 3534 "3p10d" 3535 ], 3536 "type": "propositio", 3537 "number": 10 3538 }, 3539 "3p10d": { 3540 "id": "3p10d", 3541 "ref": [ 3542 "3p5", 3543 "2p9c", 3544 "2p11", 3545 "2p13", 3546 "2p11", 3547 "2p13", 3548 "3p7" 3549 ], 3550 "type": "demonstratio" 3551 }, 3552 "3p11": { 3553 "id": "3p11", 3554 "children": [ 3555 "3p11d", 3556 "3p11sc" 3557 ], 3558 "type": "propositio", 3559 "number": 11 3560 }, 3561 "3p11d": { 3562 "id": "3p11d", 3563 "ref": [ 3564 "2p7", 3565 "2p14" 3566 ], 3567 "type": "demonstratio" 3568 }, 3569 "3p11sc": { 3570 "id": "3p11sc", 3571 "ref": [ 3572 "3p9sc", 3573 "3p10", 3574 "2p17csc", 3575 "2p8c", 3576 "2p8csc", 3577 "2p17", 3578 "2p18", 3579 "2p18sc", 3580 "3p4", 3581 "2p6", 3582 "2p8" 3583 ], 3584 "type": "scholium" 3585 }, 3586 "3p12": { 3587 "id": "3p12", 3588 "children": [ 3589 "3p12d" 3590 ], 3591 "type": "propositio", 3592 "number": 12 3593 }, 3594 "3p12d": { 3595 "id": "3p12d", 3596 "ref": [ 3597 "2p17", 3598 "2p7", 3599 "2p17csc", 3600 "3post1", 3601 "3p11", 3602 "3p6", 3603 "3p9" 3604 ], 3605 "type": "demonstratio" 3606 }, 3607 "3p13": { 3608 "id": "3p13", 3609 "children": [ 3610 "3p13d", 3611 "3p13c" 3612 ], 3613 "type": "propositio", 3614 "number": 13 3615 }, 3616 "3p13c": { 3617 "id": "3p13c", 3618 "children": [ 3619 "3p13csc" 3620 ], 3621 "type": "corollarium" 3622 }, 3623 "3p13csc": { 3624 "id": "3p13csc", 3625 "type": "scholium" 3626 }, 3627 "3p13d": { 3628 "id": "3p13d", 3629 "ref": [ 3630 "3p12", 3631 "2p17", 3632 "3p9" 3633 ], 3634 "type": "demonstratio" 3635 }, 3636 "3p14": { 3637 "id": "3p14", 3638 "children": [ 3639 "3p14d" 3640 ], 3641 "type": "propositio", 3642 "number": 14 3643 }, 3644 "3p14d": { 3645 "id": "3p14d", 3646 "ref": [ 3647 "2p18", 3648 "2p16c2", 3649 "3def3" 3650 ], 3651 "type": "demonstratio" 3652 }, 3653 "3p15": { 3654 "id": "3p15", 3655 "children": [ 3656 "3p15d", 3657 "3p15c" 3658 ], 3659 "type": "propositio", 3660 "number": 15 3661 }, 3662 "3p15c": { 3663 "id": "3p15c", 3664 "children": [ 3665 "3p15cd", 3666 "3p15csc" 3667 ], 3668 "type": "corollarium" 3669 }, 3670 "3p15cd": { 3671 "id": "3p15cd", 3672 "ref": [ 3673 "3p14", 3674 "3p11sc", 3675 "3p12", 3676 "3p13c", 3677 "3p13csc" 3678 ], 3679 "type": "demonstratio" 3680 }, 3681 "3p15csc": { 3682 "id": "3p15csc", 3683 "type": "scholium" 3684 }, 3685 "3p15d": { 3686 "id": "3p15d", 3687 "ref": [ 3688 "3post1", 3689 "3p14", 3690 "3p11sc" 3691 ], 3692 "type": "demonstratio" 3693 }, 3694 "3p16": { 3695 "id": "3p16", 3696 "children": [ 3697 "3p16d" 3698 ], 3699 "type": "propositio", 3700 "number": 16 3701 }, 3702 "3p16d": { 3703 "id": "3p16d", 3704 "ref": [ 3705 "3p14", 3706 "3p15", 3707 "3p15c" 3708 ], 3709 "type": "demonstratio" 3710 }, 3711 "3p17": { 3712 "id": "3p17", 3713 "children": [ 3714 "3p17d", 3715 "3p17sc" 3716 ], 3717 "type": "propositio", 3718 "number": 17 3719 }, 3720 "3p17d": { 3721 "id": "3p17d", 3722 "ref": [ 3723 "3p13csc", 3724 "3p16" 3725 ], 3726 "type": "demonstratio" 3727 }, 3728 "3p17sc": { 3729 "id": "3p17sc", 3730 "ref": [ 3731 "2p44c1sc", 3732 "2p13post1", 3733 "2p13ax1a" 3734 ], 3735 "type": "scholium" 3736 }, 3737 "3p18": { 3738 "id": "3p18", 3739 "children": [ 3740 "3p18d", 3741 "3p18sc1", 3742 "3p18sc2" 3743 ], 3744 "type": "propositio", 3745 "number": 18 3746 }, 3747 "3p18d": { 3748 "id": "3p18d", 3749 "ref": [ 3750 "2p17", 3751 "2p17c", 3752 "2p44c1sc", 3753 "2p16c2" 3754 ], 3755 "type": "demonstratio" 3756 }, 3757 "3p18sc1": { 3758 "id": "3p18sc1", 3759 "ref": [ 3760 "2p17", 3761 "2p44c1sc" 3762 ], 3763 "type": "scholium", 3764 "number": 1 3765 }, 3766 "3p18sc2": { 3767 "id": "3p18sc2", 3768 "type": "scholium", 3769 "number": 2 3770 }, 3771 "3p19": { 3772 "id": "3p19", 3773 "children": [ 3774 "3p19d" 3775 ], 3776 "type": "propositio", 3777 "number": 19 3778 }, 3779 "3p19d": { 3780 "id": "3p19d", 3781 "ref": [ 3782 "3p12", 3783 "3p13csc", 3784 "2p17", 3785 "3p11sc", 3786 "3p11sc" 3787 ], 3788 "type": "demonstratio" 3789 }, 3790 "3p1c": { 3791 "id": "3p1c", 3792 "type": "corollarium" 3793 }, 3794 "3p1d": { 3795 "id": "3p1d", 3796 "ref": [ 3797 "2p40sc1", 3798 "2p40sc2", 3799 "2p11c", 3800 "2p11c", 3801 "1p36", 3802 "3def1", 3803 "2p9", 3804 "2p11c", 3805 "3def2", 3806 "2p11c", 3807 "3def2" 3808 ], 3809 "type": "demonstratio" 3810 }, 3811 "3p2": { 3812 "id": "3p2", 3813 "children": [ 3814 "3p2d", 3815 "3p2sc" 3816 ], 3817 "type": "propositio", 3818 "number": 2 3819 }, 3820 "3p20": { 3821 "id": "3p20", 3822 "children": [ 3823 "3p20d" 3824 ], 3825 "type": "propositio", 3826 "number": 20 3827 }, 3828 "3p20d": { 3829 "id": "3p20d", 3830 "ref": [ 3831 "3p13", 3832 "3p13csc", 3833 "3p11sc" 3834 ], 3835 "type": "demonstratio" 3836 }, 3837 "3p21": { 3838 "id": "3p21", 3839 "children": [ 3840 "3p21d" 3841 ], 3842 "type": "propositio", 3843 "number": 21 3844 }, 3845 "3p21d": { 3846 "id": "3p21d", 3847 "ref": [ 3848 "3p19", 3849 "3p11sc", 3850 "3p11sc", 3851 "3p11sc", 3852 "3p19" 3853 ], 3854 "type": "demonstratio" 3855 }, 3856 "3p22": { 3857 "id": "3p22", 3858 "children": [ 3859 "3p22d", 3860 "3p22sc" 3861 ], 3862 "type": "propositio", 3863 "number": 22 3864 }, 3865 "3p22d": { 3866 "id": "3p22d", 3867 "ref": [ 3868 "3p21", 3869 "3p13csc" 3870 ], 3871 "type": "demonstratio" 3872 }, 3873 "3p22sc": { 3874 "id": "3p22sc", 3875 "ref": [ 3876 "3p21", 3877 "3p21" 3878 ], 3879 "type": "scholium" 3880 }, 3881 "3p23": { 3882 "id": "3p23", 3883 "children": [ 3884 "3p23d", 3885 "3p23sc" 3886 ], 3887 "type": "propositio", 3888 "number": 23 3889 }, 3890 "3p23d": { 3891 "id": "3p23d", 3892 "ref": [ 3893 "3p11sc", 3894 "3p20", 3895 "3p11sc", 3896 "3p13", 3897 "3p11sc" 3898 ], 3899 "type": "demonstratio" 3900 }, 3901 "3p23sc": { 3902 "id": "3p23sc", 3903 "ref": [ 3904 "3p27" 3905 ], 3906 "type": "scholium" 3907 }, 3908 "3p24": { 3909 "id": "3p24", 3910 "children": [ 3911 "3p24d", 3912 "3p24sc" 3913 ], 3914 "type": "propositio", 3915 "number": 24 3916 }, 3917 "3p24d": { 3918 "id": "3p24d", 3919 "ref": [ 3920 "3p22", 3921 "3p13csc", 3922 "3p21" 3923 ], 3924 "type": "demonstratio" 3925 }, 3926 "3p24sc": { 3927 "id": "3p24sc", 3928 "type": "scholium" 3929 }, 3930 "3p25": { 3931 "id": "3p25", 3932 "children": [ 3933 "3p25d" 3934 ], 3935 "type": "propositio", 3936 "number": 25 3937 }, 3938 "3p25d": { 3939 "id": "3p25d", 3940 "ref": [ 3941 "3p21", 3942 "3p12", 3943 "2p17", 3944 "2p17c", 3945 "3p13" 3946 ], 3947 "type": "demonstratio" 3948 }, 3949 "3p26": { 3950 "id": "3p26", 3951 "children": [ 3952 "3p26d", 3953 "3p26sc" 3954 ], 3955 "type": "propositio", 3956 "number": 26 3957 }, 3958 "3p26d": { 3959 "id": "3p26d", 3960 "ref": [ 3961 "3p23" 3962 ], 3963 "type": "demonstratio" 3964 }, 3965 "3p26sc": { 3966 "id": "3p26sc", 3967 "type": "scholium" 3968 }, 3969 "3p27": { 3970 "id": "3p27", 3971 "children": [ 3972 "3p27d", 3973 "3p27sc", 3974 "3p27c1", 3975 "3p27c2", 3976 "3p27c3" 3977 ], 3978 "type": "propositio", 3979 "number": 27 3980 }, 3981 "3p27c1": { 3982 "id": "3p27c1", 3983 "children": [ 3984 "3p27c1d" 3985 ], 3986 "type": "corollarium", 3987 "number": 1 3988 }, 3989 "3p27c1d": { 3990 "id": "3p27c1d", 3991 "ref": [ 3992 "3p27" 3993 ], 3994 "type": "demonstratio" 3995 }, 3996 "3p27c2": { 3997 "id": "3p27c2", 3998 "children": [ 3999 "3p27c2d" 4000 ], 4001 "type": "corollarium", 4002 "number": 2 4003 }, 4004 "3p27c2d": { 4005 "id": "3p27c2d", 4006 "ref": [ 4007 "3p23" 4008 ], 4009 "type": "demonstratio" 4010 }, 4011 "3p27c3": { 4012 "id": "3p27c3", 4013 "children": [ 4014 "3p27c3d", 4015 "3p27c3sc" 4016 ], 4017 "type": "corollarium", 4018 "number": 3 4019 }, 4020 "3p27c3d": { 4021 "id": "3p27c3d", 4022 "ref": [ 4023 "3p27", 4024 "3p13", 4025 "3p9sc" 4026 ], 4027 "type": "demonstratio" 4028 }, 4029 "3p27c3sc": { 4030 "id": "3p27c3sc", 4031 "ref": [ 4032 "3p22sc" 4033 ], 4034 "type": "scholium" 4035 }, 4036 "3p27d": { 4037 "id": "3p27d", 4038 "ref": [ 4039 "2p17csc", 4040 "2p16", 4041 "3p23" 4042 ], 4043 "type": "demonstratio" 4044 }, 4045 "3p27sc": { 4046 "id": "3p27sc", 4047 "ref": [ 4048 "3p22sc" 4049 ], 4050 "type": "scholium" 4051 }, 4052 "3p28": { 4053 "id": "3p28", 4054 "children": [ 4055 "3p28d" 4056 ], 4057 "type": "propositio", 4058 "number": 28 4059 }, 4060 "3p28d": { 4061 "id": "3p28d", 4062 "ref": [ 4063 "3p12", 4064 "2p17", 4065 "2p7c", 4066 "2p11c", 4067 "3p9sc", 4068 "3p13csc", 4069 "3p20", 4070 "3p13" 4071 ], 4072 "type": "demonstratio" 4073 }, 4074 "3p29": { 4075 "id": "3p29", 4076 "children": [ 4077 "3p29d", 4078 "3p29sc" 4079 ], 4080 "type": "propositio", 4081 "number": 29 4082 }, 4083 "3p29d": { 4084 "id": "3p29d", 4085 "ref": [ 4086 "3p27", 4087 "3p13csc", 4088 "3p28" 4089 ], 4090 "type": "demonstratio" 4091 }, 4092 "3p29sc": { 4093 "id": "3p29sc", 4094 "type": "scholium" 4095 }, 4096 "3p2d": { 4097 "id": "3p2d", 4098 "ref": [ 4099 "2p6", 4100 "2def1", 4101 "2p6", 4102 "2p11" 4103 ], 4104 "type": "demonstratio" 4105 }, 4106 "3p2sc": { 4107 "id": "3p2sc", 4108 "ref": [ 4109 "2p7csc", 4110 "2p12", 4111 "2p49" 4112 ], 4113 "type": "scholium" 4114 }, 4115 "3p3": { 4116 "id": "3p3", 4117 "children": [ 4118 "3p3d", 4119 "3p3sc" 4120 ], 4121 "type": "propositio", 4122 "number": 3 4123 }, 4124 "3p30": { 4125 "id": "3p30", 4126 "children": [ 4127 "3p30d", 4128 "3p30sc" 4129 ], 4130 "type": "propositio", 4131 "number": 30 4132 }, 4133 "3p30d": { 4134 "id": "3p30d", 4135 "ref": [ 4136 "3p27", 4137 "2p19", 4138 "2p23" 4139 ], 4140 "type": "demonstratio" 4141 }, 4142 "3p30sc": { 4143 "id": "3p30sc", 4144 "ref": [ 4145 "3p13csc", 4146 "2p17c", 4147 "3p25" 4148 ], 4149 "type": "scholium" 4150 }, 4151 "3p31": { 4152 "id": "3p31", 4153 "children": [ 4154 "3p31d", 4155 "3p31c" 4156 ], 4157 "type": "propositio", 4158 "number": 31 4159 }, 4160 "3p31c": { 4161 "id": "3p31c", 4162 "children": [ 4163 "3p31csc" 4164 ], 4165 "ref": [ 4166 "3p28" 4167 ], 4168 "type": "corollarium" 4169 }, 4170 "3p31csc": { 4171 "id": "3p31csc", 4172 "ref": [ 4173 "3p29sc" 4174 ], 4175 "type": "scholium" 4176 }, 4177 "3p31d": { 4178 "id": "3p31d", 4179 "ref": [ 4180 "3p27", 4181 "3p27", 4182 "3p17sc" 4183 ], 4184 "type": "demonstratio" 4185 }, 4186 "3p32": { 4187 "id": "3p32", 4188 "children": [ 4189 "3p32d", 4190 "3p32sc" 4191 ], 4192 "type": "propositio", 4193 "number": 32 4194 }, 4195 "3p32d": { 4196 "id": "3p32d", 4197 "ref": [ 4198 "3p27", 4199 "3p27c1", 4200 "3p28" 4201 ], 4202 "type": "demonstratio" 4203 }, 4204 "3p32sc": { 4205 "id": "3p32sc", 4206 "ref": [ 4207 "3p32" 4208 ], 4209 "type": "scholium" 4210 }, 4211 "3p33": { 4212 "id": "3p33", 4213 "children": [ 4214 "3p33d" 4215 ], 4216 "type": "propositio", 4217 "number": 33 4218 }, 4219 "3p33d": { 4220 "id": "3p33d", 4221 "ref": [ 4222 "3p12", 4223 "3p29", 4224 "3p13csc" 4225 ], 4226 "type": "demonstratio" 4227 }, 4228 "3p34": { 4229 "id": "3p34", 4230 "children": [ 4231 "3p34d" 4232 ], 4233 "type": "propositio", 4234 "number": 34 4235 }, 4236 "3p34d": { 4237 "id": "3p34d", 4238 "ref": [ 4239 "3p33", 4240 "3p13csc", 4241 "3p11", 4242 "3p11sc", 4243 "3p30", 4244 "3p30sc" 4245 ], 4246 "type": "demonstratio" 4247 }, 4248 "3p35": { 4249 "id": "3p35", 4250 "children": [ 4251 "3p35d", 4252 "3p35sc" 4253 ], 4254 "type": "propositio", 4255 "number": 35 4256 }, 4257 "3p35d": { 4258 "id": "3p35d", 4259 "ref": [ 4260 "3p34", 4261 "3p30sc", 4262 "3p28", 4263 "3p31", 4264 "3p11sc", 4265 "3p13csc", 4266 "3p15c", 4267 "3p23" 4268 ], 4269 "type": "demonstratio" 4270 }, 4271 "3p35sc": { 4272 "id": "3p35sc", 4273 "ref": [ 4274 "3p24", 4275 "3p15c" 4276 ], 4277 "type": "scholium" 4278 }, 4279 "3p36": { 4280 "id": "3p36", 4281 "children": [ 4282 "3p36d", 4283 "3p36c" 4284 ], 4285 "type": "propositio", 4286 "number": 36 4287 }, 4288 "3p36c": { 4289 "id": "3p36c", 4290 "children": [ 4291 "3p36cd", 4292 "3p36csc" 4293 ], 4294 "type": "corollarium" 4295 }, 4296 "3p36cd": { 4297 "id": "3p36cd", 4298 "ref": [ 4299 "3p36", 4300 "3p19" 4301 ], 4302 "type": "demonstratio" 4303 }, 4304 "3p36csc": { 4305 "id": "3p36csc", 4306 "type": "scholium" 4307 }, 4308 "3p36d": { 4309 "id": "3p36d", 4310 "ref": [ 4311 "3p15", 4312 "3p28" 4313 ], 4314 "type": "demonstratio" 4315 }, 4316 "3p37": { 4317 "id": "3p37", 4318 "children": [ 4319 "3p37d" 4320 ], 4321 "type": "propositio", 4322 "number": 37 4323 }, 4324 "3p37d": { 4325 "id": "3p37d", 4326 "ref": [ 4327 "3p11sc", 4328 "3p7", 4329 "3p5", 4330 "3p11sc", 4331 "3p9sc", 4332 "3p11sc" 4333 ], 4334 "type": "demonstratio" 4335 }, 4336 "3p38": { 4337 "id": "3p38", 4338 "children": [ 4339 "3p38d" 4340 ], 4341 "type": "propositio", 4342 "number": 38 4343 }, 4344 "3p38d": { 4345 "id": "3p38d", 4346 "ref": [ 4347 "3p13csc", 4348 "3p28", 4349 "3p13csc", 4350 "3p21", 4351 "3p37", 4352 "3p33", 4353 "3p13c", 4354 "3p23", 4355 "3p11sc", 4356 "3p13csc" 4357 ], 4358 "type": "demonstratio" 4359 }, 4360 "3p39": { 4361 "id": "3p39", 4362 "children": [ 4363 "3p39d", 4364 "3p39sc" 4365 ], 4366 "type": "propositio", 4367 "number": 39 4368 }, 4369 "3p39d": { 4370 "id": "3p39d", 4371 "ref": [ 4372 "3p13csc", 4373 "3p28", 4374 "3p28", 4375 "3p37" 4376 ], 4377 "type": "demonstratio" 4378 }, 4379 "3p39sc": { 4380 "id": "3p39sc", 4381 "ref": [ 4382 "3p9", 4383 "3p28" 4384 ], 4385 "type": "scholium" 4386 }, 4387 "3p3d": { 4388 "id": "3p3d", 4389 "ref": [ 4390 "2p11", 4391 "2p13", 4392 "2p15", 4393 "2p38c", 4394 "2p29c", 4395 "3p1" 4396 ], 4397 "type": "demonstratio" 4398 }, 4399 "3p3sc": { 4400 "id": "3p3sc", 4401 "type": "scholium" 4402 }, 4403 "3p4": { 4404 "id": "3p4", 4405 "children": [ 4406 "3p4d" 4407 ], 4408 "type": "propositio", 4409 "number": 4 4410 }, 4411 "3p40": { 4412 "id": "3p40", 4413 "children": [ 4414 "3p40d", 4415 "3p40sc", 4416 "3p40c1", 4417 "3p40c2" 4418 ], 4419 "type": "propositio", 4420 "number": 40 4421 }, 4422 "3p40c1": { 4423 "id": "3p40c1", 4424 "ref": [ 4425 "3p40" 4426 ], 4427 "type": "corollarium", 4428 "number": 1 4429 }, 4430 "3p40c2": { 4431 "id": "3p40c2", 4432 "children": [ 4433 "3p40c2d", 4434 "3p40c2sc" 4435 ], 4436 "type": "corollarium", 4437 "number": 2 4438 }, 4439 "3p40c2d": { 4440 "id": "3p40c2d", 4441 "ref": [ 4442 "3p40", 4443 "3p26", 4444 "3p39" 4445 ], 4446 "type": "demonstratio" 4447 }, 4448 "3p40c2sc": { 4449 "id": "3p40c2sc", 4450 "type": "scholium" 4451 }, 4452 "3p40d": { 4453 "id": "3p40d", 4454 "ref": [ 4455 "3p27", 4456 "3p13csc", 4457 "3p13csc" 4458 ], 4459 "type": "demonstratio" 4460 }, 4461 "3p40sc": { 4462 "id": "3p40sc", 4463 "ref": [ 4464 "3p30", 4465 "3p30sc", 4466 "3p25", 4467 "3p39" 4468 ], 4469 "type": "scholium" 4470 }, 4471 "3p41": { 4472 "id": "3p41", 4473 "children": [ 4474 "3p41d", 4475 "3p41sc", 4476 "3p41c" 4477 ], 4478 "ref": [ 4479 "3p15c", 4480 "3p16" 4481 ], 4482 "type": "propositio", 4483 "number": 41 4484 }, 4485 "3p41c": { 4486 "id": "3p41c", 4487 "children": [ 4488 "3p41csc" 4489 ], 4490 "type": "corollarium" 4491 }, 4492 "3p41csc": { 4493 "id": "3p41csc", 4494 "type": "scholium" 4495 }, 4496 "3p41d": { 4497 "id": "3p41d", 4498 "type": "demonstratio" 4499 }, 4500 "3p41sc": { 4501 "id": "3p41sc", 4502 "ref": [ 4503 "3p30", 4504 "3p30sc", 4505 "3p25", 4506 "3p40sc", 4507 "3p39", 4508 "3p39" 4509 ], 4510 "type": "scholium" 4511 }, 4512 "3p42": { 4513 "id": "3p42", 4514 "children": [ 4515 "3p42d" 4516 ], 4517 "type": "propositio", 4518 "number": 42 4519 }, 4520 "3p42d": { 4521 "id": "3p42d", 4522 "ref": [ 4523 "3p33", 4524 "3p34", 4525 "3p30sc", 4526 "3p12", 4527 "3p19" 4528 ], 4529 "type": "demonstratio" 4530 }, 4531 "3p43": { 4532 "id": "3p43", 4533 "children": [ 4534 "3p43d" 4535 ], 4536 "type": "propositio", 4537 "number": 43 4538 }, 4539 "3p43d": { 4540 "id": "3p43d", 4541 "ref": [ 4542 "3p40", 4543 "3p30", 4544 "3p29", 4545 "3p41", 4546 "3p37", 4547 "3p26" 4548 ], 4549 "type": "demonstratio" 4550 }, 4551 "3p44": { 4552 "id": "3p44", 4553 "children": [ 4554 "3p44d", 4555 "3p44sc" 4556 ], 4557 "type": "propositio", 4558 "number": 44 4559 }, 4560 "3p44d": { 4561 "id": "3p44d", 4562 "ref": [ 4563 "3p38", 4564 "3p13csc", 4565 "3p28", 4566 "3p13csc", 4567 "3p21", 4568 "3p37", 4569 "3p33", 4570 "3p13c", 4571 "3p23", 4572 "3p11sc", 4573 "3p13csc", 4574 "3p13csc", 4575 "3p37" 4576 ], 4577 "type": "demonstratio" 4578 }, 4579 "3p44sc": { 4580 "id": "3p44sc", 4581 "ref": [ 4582 "3p6" 4583 ], 4584 "type": "scholium" 4585 }, 4586 "3p45": { 4587 "id": "3p45", 4588 "children": [ 4589 "3p45d" 4590 ], 4591 "type": "propositio", 4592 "number": 45 4593 }, 4594 "3p45d": { 4595 "id": "3p45d", 4596 "ref": [ 4597 "3p40", 4598 "3p13csc", 4599 "3p21", 4600 "3p13csc" 4601 ], 4602 "type": "demonstratio" 4603 }, 4604 "3p46": { 4605 "id": "3p46", 4606 "children": [ 4607 "3p46d" 4608 ], 4609 "type": "propositio", 4610 "number": 46 4611 }, 4612 "3p46d": { 4613 "id": "3p46d", 4614 "ref": [ 4615 "3p16" 4616 ], 4617 "type": "demonstratio" 4618 }, 4619 "3p47": { 4620 "id": "3p47", 4621 "children": [ 4622 "3p47d", 4623 "3p47sc" 4624 ], 4625 "type": "propositio", 4626 "number": 47 4627 }, 4628 "3p47d": { 4629 "id": "3p47d", 4630 "ref": [ 4631 "3p27" 4632 ], 4633 "type": "demonstratio" 4634 }, 4635 "3p47sc": { 4636 "id": "3p47sc", 4637 "ref": [ 4638 "2p17c" 4639 ], 4640 "type": "scholium" 4641 }, 4642 "3p48": { 4643 "id": "3p48", 4644 "children": [ 4645 "3p48d" 4646 ], 4647 "type": "propositio", 4648 "number": 48 4649 }, 4650 "3p48d": { 4651 "id": "3p48d", 4652 "ref": [ 4653 "3p13csc" 4654 ], 4655 "type": "demonstratio" 4656 }, 4657 "3p49": { 4658 "id": "3p49", 4659 "children": [ 4660 "3p49d", 4661 "3p49sc" 4662 ], 4663 "type": "propositio", 4664 "number": 49 4665 }, 4666 "3p49d": { 4667 "id": "3p49d", 4668 "ref": [ 4669 "1def7", 4670 "3p13csc", 4671 "3p48", 4672 "1def7", 4673 "3p48" 4674 ], 4675 "type": "demonstratio" 4676 }, 4677 "3p49sc": { 4678 "id": "3p49sc", 4679 "ref": [ 4680 "3p27", 4681 "3p34", 4682 "3p40", 4683 "3p43" 4684 ], 4685 "type": "scholium" 4686 }, 4687 "3p4d": { 4688 "id": "3p4d", 4689 "type": "demonstratio" 4690 }, 4691 "3p5": { 4692 "id": "3p5", 4693 "children": [ 4694 "3p5d" 4695 ], 4696 "type": "propositio", 4697 "number": 5 4698 }, 4699 "3p50": { 4700 "id": "3p50", 4701 "children": [ 4702 "3p50d", 4703 "3p50sc" 4704 ], 4705 "type": "propositio", 4706 "number": 50 4707 }, 4708 "3p50d": { 4709 "id": "3p50d", 4710 "ref": [ 4711 "3p15", 4712 "3post1", 4713 "3p14", 4714 "3p11sc", 4715 "3p18sc2" 4716 ], 4717 "type": "demonstratio" 4718 }, 4719 "3p50sc": { 4720 "id": "3p50sc", 4721 "ref": [ 4722 "3p18sc2", 4723 "3p15c", 4724 "3p28", 4725 "3p25" 4726 ], 4727 "type": "scholium" 4728 }, 4729 "3p51": { 4730 "id": "3p51", 4731 "children": [ 4732 "3p51d", 4733 "3p51sc" 4734 ], 4735 "type": "propositio", 4736 "number": 51 4737 }, 4738 "3p51d": { 4739 "id": "3p51d", 4740 "ref": [ 4741 "2p13post3", 4742 "2p13ax1a", 4743 "2p13post3", 4744 "2p13ax1a" 4745 ], 4746 "type": "demonstratio" 4747 }, 4748 "3p51sc": { 4749 "id": "3p51sc", 4750 "ref": [ 4751 "3p39sc", 4752 "3p28", 4753 "3p49" 4754 ], 4755 "type": "scholium" 4756 }, 4757 "3p52": { 4758 "id": "3p52", 4759 "children": [ 4760 "3p52d", 4761 "3p52sc" 4762 ], 4763 "type": "propositio", 4764 "number": 52 4765 }, 4766 "3p52d": { 4767 "id": "3p52d", 4768 "ref": [ 4769 "2p18", 4770 "2p18sc" 4771 ], 4772 "type": "demonstratio" 4773 }, 4774 "3p52sc": { 4775 "id": "3p52sc", 4776 "ref": [ 4777 "3p12", 4778 "3p15", 4779 "3p15c", 4780 "3p27" 4781 ], 4782 "type": "scholium" 4783 }, 4784 "3p53": { 4785 "id": "3p53", 4786 "children": [ 4787 "3p53d", 4788 "3p53c" 4789 ], 4790 "type": "propositio", 4791 "number": 53 4792 }, 4793 "3p53c": { 4794 "id": "3p53c", 4795 "ref": [ 4796 "3p29sc", 4797 "3p27" 4798 ], 4799 "type": "corollarium" 4800 }, 4801 "3p53d": { 4802 "id": "3p53d", 4803 "ref": [ 4804 "2p19", 4805 "2p23", 4806 "3p11sc" 4807 ], 4808 "type": "demonstratio" 4809 }, 4810 "3p54": { 4811 "id": "3p54", 4812 "children": [ 4813 "3p54d" 4814 ], 4815 "type": "propositio", 4816 "number": 54 4817 }, 4818 "3p54d": { 4819 "id": "3p54d", 4820 "ref": [ 4821 "3p7" 4822 ], 4823 "type": "demonstratio" 4824 }, 4825 "3p55": { 4826 "id": "3p55", 4827 "children": [ 4828 "3p55d", 4829 "3p55c1", 4830 "3p55c2" 4831 ], 4832 "type": "propositio", 4833 "number": 55 4834 }, 4835 "3p55c1": { 4836 "id": "3p55c1", 4837 "children": [ 4838 "3p55c1sc" 4839 ], 4840 "ref": [ 4841 "3p53c" 4842 ], 4843 "type": "corollarium", 4844 "number": 1 4845 }, 4846 "3p55c1sc": { 4847 "id": "3p55c1sc", 4848 "ref": [ 4849 "3p24sc", 4850 "3p32sc", 4851 "3p53", 4852 "2p40sc1", 4853 "3p28" 4854 ], 4855 "type": "scholium" 4856 }, 4857 "3p55c2": { 4858 "id": "3p55c2", 4859 "children": [ 4860 "3p55c2d", 4861 "3p55c2sc" 4862 ], 4863 "type": "corollarium", 4864 "number": 2 4865 }, 4866 "3p55c2d": { 4867 "id": "3p55c2d", 4868 "ref": [ 4869 "3p24sc", 4870 "3p13csc", 4871 "3p11sc", 4872 "3p9sc", 4873 "3p11sc" 4874 ], 4875 "type": "demonstratio" 4876 }, 4877 "3p55c2sc": { 4878 "id": "3p55c2sc", 4879 "ref": [ 4880 "3p52sc", 4881 "3p55" 4882 ], 4883 "type": "scholium" 4884 }, 4885 "3p55d": { 4886 "id": "3p55d", 4887 "ref": [ 4888 "3p54", 4889 "3p11sc" 4890 ], 4891 "type": "demonstratio" 4892 }, 4893 "3p56": { 4894 "id": "3p56", 4895 "children": [ 4896 "3p56d", 4897 "3p56sc" 4898 ], 4899 "type": "propositio", 4900 "number": 56 4901 }, 4902 "3p56d": { 4903 "id": "3p56d", 4904 "ref": [ 4905 "3p11sc", 4906 "3p1", 4907 "3p3", 4908 "2p40sc1", 4909 "2p17", 4910 "2p17csc", 4911 "3p9sc" 4912 ], 4913 "type": "demonstratio" 4914 }, 4915 "3p56sc": { 4916 "id": "3p56sc", 4917 "ref": [ 4918 "3p56" 4919 ], 4920 "type": "scholium" 4921 }, 4922 "3p57": { 4923 "id": "3p57", 4924 "children": [ 4925 "3p57d", 4926 "3p57sc" 4927 ], 4928 "type": "propositio", 4929 "number": 57 4930 }, 4931 "3p57d": { 4932 "id": "3p57d", 4933 "ref": [ 4934 "2p13ax1a", 4935 "3p9sc", 4936 "3p11", 4937 "3p11sc", 4938 "3p9sc", 4939 "3p9sc" 4940 ], 4941 "type": "demonstratio" 4942 }, 4943 "3p57sc": { 4944 "id": "3p57sc", 4945 "type": "scholium" 4946 }, 4947 "3p58": { 4948 "id": "3p58", 4949 "children": [ 4950 "3p58d" 4951 ], 4952 "type": "propositio", 4953 "number": 58 4954 }, 4955 "3p58d": { 4956 "id": "3p58d", 4957 "ref": [ 4958 "3p53", 4959 "2p43", 4960 "2p40sc2", 4961 "3p1", 4962 "3p9", 4963 "3p9sc", 4964 "3p1" 4965 ], 4966 "type": "demonstratio" 4967 }, 4968 "3p59": { 4969 "id": "3p59", 4970 "children": [ 4971 "3p59d", 4972 "3p59sc" 4973 ], 4974 "type": "propositio", 4975 "number": 59 4976 }, 4977 "3p59d": { 4978 "id": "3p59d", 4979 "ref": [ 4980 "3p11", 4981 "3p11sc", 4982 "3p1", 4983 "3p58" 4984 ], 4985 "type": "demonstratio" 4986 }, 4987 "3p59sc": { 4988 "id": "3p59sc", 4989 "type": "scholium" 4990 }, 4991 "3p5d": { 4992 "id": "3p5d", 4993 "ref": [ 4994 "3p4" 4995 ], 4996 "type": "demonstratio" 4997 }, 4998 "3p6": { 4999 "id": "3p6", 5000 "children": [ 5001 "3p6d" 5002 ], 5003 "type": "propositio", 5004 "number": 6 5005 }, 5006 "3p6d": { 5007 "id": "3p6d", 5008 "ref": [ 5009 "1p25c", 5010 "1p34", 5011 "3p4", 5012 "3p5" 5013 ], 5014 "type": "demonstratio" 5015 }, 5016 "3p7": { 5017 "id": "3p7", 5018 "children": [ 5019 "3p7d" 5020 ], 5021 "type": "propositio", 5022 "number": 7 5023 }, 5024 "3p7d": { 5025 "id": "3p7d", 5026 "ref": [ 5027 "1p36", 5028 "1p29", 5029 "3p6" 5030 ], 5031 "type": "demonstratio" 5032 }, 5033 "3p8": { 5034 "id": "3p8", 5035 "children": [ 5036 "3p8d" 5037 ], 5038 "type": "propositio", 5039 "number": 8 5040 }, 5041 "3p8d": { 5042 "id": "3p8d", 5043 "ref": [ 5044 "3p4", 5045 "3p4" 5046 ], 5047 "type": "demonstratio" 5048 }, 5049 "3p9": { 5050 "id": "3p9", 5051 "children": [ 5052 "3p9d", 5053 "3p9sc" 5054 ], 5055 "type": "propositio", 5056 "number": 9 5057 }, 5058 "3p9d": { 5059 "id": "3p9d", 5060 "ref": [ 5061 "3p3", 5062 "3p7", 5063 "3p8", 5064 "2p23", 5065 "3p7" 5066 ], 5067 "type": "demonstratio" 5068 }, 5069 "3p9sc": { 5070 "id": "3p9sc", 5071 "type": "scholium" 5072 }, 5073 "3post": { 5074 "id": "3post", 5075 "children": [ 5076 "3post1", 5077 "3post2" 5078 ], 5079 "type": "postulata" 5080 }, 5081 "3post1": { 5082 "id": "3post1", 5083 "children": [ 5084 "3post1e" 5085 ], 5086 "type": "postulatum", 5087 "number": 1 5088 }, 5089 "3post1e": { 5090 "id": "3post1e", 5091 "ref": [ 5092 "2p13post1", 5093 "2p13l5", 5094 "2p13l7" 5095 ], 5096 "type": "explicatio" 5097 }, 5098 "3post2": { 5099 "id": "3post2", 5100 "ref": [ 5101 "2p13post5", 5102 "2p17csc" 5103 ], 5104 "type": "postulatum", 5105 "number": 2 5106 }, 5107 "3pr": { 5108 "id": "3pr", 5109 "type": "praefatio" 5110 }, 5111 "4": { 5112 "id": "4", 5113 "children": [ 5114 "4pr", 5115 "4def", 5116 "4ax", 5117 "4p1", 5118 "4p2", 5119 "4p3", 5120 "4p4", 5121 "4p5", 5122 "4p6", 5123 "4p7", 5124 "4p8", 5125 "4p9", 5126 "4p10", 5127 "4p11", 5128 "4p12", 5129 "4p13", 5130 "4p14", 5131 "4p15", 5132 "4p16", 5133 "4p17", 5134 "4p18", 5135 "4p19", 5136 "4p20", 5137 "4p21", 5138 "4p22", 5139 "4p23", 5140 "4p24", 5141 "4p25", 5142 "4p26", 5143 "4p27", 5144 "4p28", 5145 "4p29", 5146 "4p30", 5147 "4p31", 5148 "4p32", 5149 "4p33", 5150 "4p34", 5151 "4p35", 5152 "4p36", 5153 "4p37", 5154 "4p38", 5155 "4p39", 5156 "4p40", 5157 "4p41", 5158 "4p42", 5159 "4p43", 5160 "4p44", 5161 "4p45", 5162 "4p46", 5163 "4p47", 5164 "4p48", 5165 "4p49", 5166 "4p50", 5167 "4p51", 5168 "4p52", 5169 "4p53", 5170 "4p54", 5171 "4p55", 5172 "4p56", 5173 "4p57", 5174 "4p58", 5175 "4p59", 5176 "4p60", 5177 "4p61", 5178 "4p62", 5179 "4p63", 5180 "4p64", 5181 "4p65", 5182 "4p66", 5183 "4p67", 5184 "4p68", 5185 "4p69", 5186 "4p70", 5187 "4p71", 5188 "4p72", 5189 "4p73", 5190 "4app" 5191 ], 5192 "type": "pars", 5193 "number": 4, 5194 "title": "De servitute humana seu de affectuum viribus" 5195 }, 5196 "4app": { 5197 "id": "4app", 5198 "children": [ 5199 "4apppr", 5200 "4appc1", 5201 "4appc2", 5202 "4appc3", 5203 "4appc4", 5204 "4appc5", 5205 "4appc6", 5206 "4appc7", 5207 "4appc8", 5208 "4appc9", 5209 "4appc10", 5210 "4appc11", 5211 "4appc12", 5212 "4appc13", 5213 "4appc14", 5214 "4appc15", 5215 "4appc16", 5216 "4appc17", 5217 "4appc18", 5218 "4appc19", 5219 "4appc20", 5220 "4appc21", 5221 "4appc22", 5222 "4appc23", 5223 "4appc24", 5224 "4appc25", 5225 "4appc26", 5226 "4appc27", 5227 "4appc28", 5228 "4appc29", 5229 "4appc30", 5230 "4appc31", 5231 "4appc32" 5232 ], 5233 "type": "appendix" 5234 }, 5235 "4appc1": { 5236 "id": "4appc1", 5237 "type": "caput", 5238 "number": 1 5239 }, 5240 "4appc10": { 5241 "id": "4appc10", 5242 "type": "caput", 5243 "number": 10 5244 }, 5245 "4appc11": { 5246 "id": "4appc11", 5247 "type": "caput", 5248 "number": 11 5249 }, 5250 "4appc12": { 5251 "id": "4appc12", 5252 "type": "caput", 5253 "number": 12 5254 }, 5255 "4appc13": { 5256 "id": "4appc13", 5257 "type": "caput", 5258 "number": 13 5259 }, 5260 "4appc14": { 5261 "id": "4appc14", 5262 "type": "caput", 5263 "number": 14 5264 }, 5265 "4appc15": { 5266 "id": "4appc15", 5267 "ref": [ 5268 "4p37sc1", 5269 "4p37sc2", 5270 "4p46sc", 5271 "4p73sc" 5272 ], 5273 "type": "caput", 5274 "number": 15 5275 }, 5276 "4appc16": { 5277 "id": "4appc16", 5278 "type": "caput", 5279 "number": 16 5280 }, 5281 "4appc17": { 5282 "id": "4appc17", 5283 "type": "caput", 5284 "number": 17 5285 }, 5286 "4appc18": { 5287 "id": "4appc18", 5288 "ref": [ 5289 "4p70sc", 5290 "4p71sc" 5291 ], 5292 "type": "caput", 5293 "number": 18 5294 }, 5295 "4appc19": { 5296 "id": "4appc19", 5297 "ref": [ 5298 "3p31csc" 5299 ], 5300 "type": "caput", 5301 "number": 19 5302 }, 5303 "4appc2": { 5304 "id": "4appc2", 5305 "type": "caput", 5306 "number": 2 5307 }, 5308 "4appc20": { 5309 "id": "4appc20", 5310 "type": "caput", 5311 "number": 20 5312 }, 5313 "4appc21": { 5314 "id": "4appc21", 5315 "type": "caput", 5316 "number": 21 5317 }, 5318 "4appc22": { 5319 "id": "4appc22", 5320 "ref": [ 5321 "4p57sc" 5322 ], 5323 "type": "caput", 5324 "number": 22 5325 }, 5326 "4appc23": { 5327 "id": "4appc23", 5328 "type": "caput", 5329 "number": 23 5330 }, 5331 "4appc24": { 5332 "id": "4appc24", 5333 "type": "caput", 5334 "number": 24 5335 }, 5336 "4appc25": { 5337 "id": "4appc25", 5338 "ref": [ 5339 "4p37sc1" 5340 ], 5341 "type": "caput", 5342 "number": 25 5343 }, 5344 "4appc26": { 5345 "id": "4appc26", 5346 "type": "caput", 5347 "number": 26 5348 }, 5349 "4appc27": { 5350 "id": "4appc27", 5351 "ref": [ 5352 "4p38", 5353 "4p39" 5354 ], 5355 "type": "caput", 5356 "number": 27 5357 }, 5358 "4appc28": { 5359 "id": "4appc28", 5360 "type": "caput", 5361 "number": 28 5362 }, 5363 "4appc29": { 5364 "id": "4appc29", 5365 "type": "caput", 5366 "number": 29 5367 }, 5368 "4appc3": { 5369 "id": "4appc3", 5370 "type": "caput", 5371 "number": 3 5372 }, 5373 "4appc30": { 5374 "id": "4appc30", 5375 "ref": [ 5376 "4p44sc", 5377 "4p60sc" 5378 ], 5379 "type": "caput", 5380 "number": 30 5381 }, 5382 "4appc31": { 5383 "id": "4appc31", 5384 "ref": [ 5385 "4p45sc" 5386 ], 5387 "type": "caput", 5388 "number": 31 5389 }, 5390 "4appc32": { 5391 "id": "4appc32", 5392 "type": "caput", 5393 "number": 32 5394 }, 5395 "4appc4": { 5396 "id": "4appc4", 5397 "type": "caput", 5398 "number": 4 5399 }, 5400 "4appc5": { 5401 "id": "4appc5", 5402 "type": "caput", 5403 "number": 5 5404 }, 5405 "4appc6": { 5406 "id": "4appc6", 5407 "type": "caput", 5408 "number": 6 5409 }, 5410 "4appc7": { 5411 "id": "4appc7", 5412 "type": "caput", 5413 "number": 7 5414 }, 5415 "4appc8": { 5416 "id": "4appc8", 5417 "type": "caput", 5418 "number": 8 5419 }, 5420 "4appc9": { 5421 "id": "4appc9", 5422 "ref": [ 5423 "4appc7" 5424 ], 5425 "type": "caput", 5426 "number": 9 5427 }, 5428 "4apppr": { 5429 "id": "4apppr", 5430 "type": "praefatio" 5431 }, 5432 "4ax": { 5433 "id": "4ax", 5434 "type": "axioma" 5435 }, 5436 "4def": { 5437 "id": "4def", 5438 "children": [ 5439 "4def1", 5440 "4def2", 5441 "4def3", 5442 "4def4", 5443 "4def5", 5444 "4def6", 5445 "4def7", 5446 "4def8" 5447 ], 5448 "type": "definitiones" 5449 }, 5450 "4def1": { 5451 "id": "4def1", 5452 "ref": [ 5453 "4pr" 5454 ], 5455 "type": "definitio", 5456 "number": 1 5457 }, 5458 "4def2": { 5459 "id": "4def2", 5460 "ref": [ 5461 "4pr" 5462 ], 5463 "type": "definitio", 5464 "number": 2 5465 }, 5466 "4def3": { 5467 "id": "4def3", 5468 "type": "definitio", 5469 "number": 3 5470 }, 5471 "4def4": { 5472 "id": "4def4", 5473 "ref": [ 5474 "1p33sc1" 5475 ], 5476 "type": "definitio", 5477 "number": 4 5478 }, 5479 "4def5": { 5480 "id": "4def5", 5481 "type": "definitio", 5482 "number": 5 5483 }, 5484 "4def6": { 5485 "id": "4def6", 5486 "ref": [ 5487 "3p18sc1", 5488 "3p18sc2" 5489 ], 5490 "type": "definitio", 5491 "number": 6 5492 }, 5493 "4def7": { 5494 "id": "4def7", 5495 "type": "definitio", 5496 "number": 7 5497 }, 5498 "4def8": { 5499 "id": "4def8", 5500 "ref": [ 5501 "3p7" 5502 ], 5503 "type": "definitio", 5504 "number": 8 5505 }, 5506 "4p1": { 5507 "id": "4p1", 5508 "children": [ 5509 "4p1d", 5510 "4p1sc" 5511 ], 5512 "type": "propositio", 5513 "number": 1 5514 }, 5515 "4p10": { 5516 "id": "4p10", 5517 "children": [ 5518 "4p10d", 5519 "4p10sc" 5520 ], 5521 "type": "propositio", 5522 "number": 10 5523 }, 5524 "4p10d": { 5525 "id": "4p10d", 5526 "ref": [ 5527 "4p9" 5528 ], 5529 "type": "demonstratio" 5530 }, 5531 "4p10sc": { 5532 "id": "4p10sc", 5533 "ref": [ 5534 "4def6" 5535 ], 5536 "type": "scholium" 5537 }, 5538 "4p11": { 5539 "id": "4p11", 5540 "children": [ 5541 "4p11d" 5542 ], 5543 "type": "propositio", 5544 "number": 11 5545 }, 5546 "4p11d": { 5547 "id": "4p11d", 5548 "ref": [ 5549 "1p33sc1", 5550 "4p9" 5551 ], 5552 "type": "demonstratio" 5553 }, 5554 "4p12": { 5555 "id": "4p12", 5556 "children": [ 5557 "4p12d", 5558 "4p12c" 5559 ], 5560 "type": "propositio", 5561 "number": 12 5562 }, 5563 "4p12c": { 5564 "id": "4p12c", 5565 "children": [ 5566 "4p12cd" 5567 ], 5568 "type": "corollarium" 5569 }, 5570 "4p12cd": { 5571 "id": "4p12cd", 5572 "ref": [ 5573 "4p9c", 5574 "4p10", 5575 "4p12" 5576 ], 5577 "type": "demonstratio" 5578 }, 5579 "4p12d": { 5580 "id": "4p12d", 5581 "ref": [ 5582 "4def3", 5583 "4def4", 5584 "3p18" 5585 ], 5586 "type": "demonstratio" 5587 }, 5588 "4p13": { 5589 "id": "4p13", 5590 "children": [ 5591 "4p13d" 5592 ], 5593 "type": "propositio", 5594 "number": 13 5595 }, 5596 "4p13d": { 5597 "id": "4p13d", 5598 "ref": [ 5599 "4def3", 5600 "2p18", 5601 "2p18sc", 5602 "2p17c", 5603 "4p9" 5604 ], 5605 "type": "demonstratio" 5606 }, 5607 "4p14": { 5608 "id": "4p14", 5609 "children": [ 5610 "4p14d" 5611 ], 5612 "type": "propositio", 5613 "number": 14 5614 }, 5615 "4p14d": { 5616 "id": "4p14d", 5617 "ref": [ 5618 "3agd", 5619 "4p1", 5620 "4p8", 5621 "4p7" 5622 ], 5623 "type": "demonstratio" 5624 }, 5625 "4p15": { 5626 "id": "4p15", 5627 "children": [ 5628 "4p15d" 5629 ], 5630 "type": "propositio", 5631 "number": 15 5632 }, 5633 "4p15d": { 5634 "id": "4p15d", 5635 "ref": [ 5636 "4p8", 5637 "3ad1", 5638 "3p37", 5639 "3p3", 5640 "3def2", 5641 "3p7", 5642 "4p5", 5643 "4p3", 5644 "4p7" 5645 ], 5646 "type": "demonstratio" 5647 }, 5648 "4p16": { 5649 "id": "4p16", 5650 "children": [ 5651 "4p16d" 5652 ], 5653 "type": "propositio", 5654 "number": 16 5655 }, 5656 "4p16d": { 5657 "id": "4p16d", 5658 "ref": [ 5659 "4p9c", 5660 "4p15" 5661 ], 5662 "type": "demonstratio" 5663 }, 5664 "4p17": { 5665 "id": "4p17", 5666 "children": [ 5667 "4p17d", 5668 "4p17sc" 5669 ], 5670 "type": "propositio", 5671 "number": 17 5672 }, 5673 "4p17d": { 5674 "id": "4p17d", 5675 "ref": [ 5676 "4p16", 5677 "4p12c", 5678 "4p9c", 5679 "4p15" 5680 ], 5681 "type": "demonstratio" 5682 }, 5683 "4p17sc": { 5684 "id": "4p17sc", 5685 "type": "scholium" 5686 }, 5687 "4p18": { 5688 "id": "4p18", 5689 "children": [ 5690 "4p18d", 5691 "4p18sc" 5692 ], 5693 "type": "propositio", 5694 "number": 18 5695 }, 5696 "4p18d": { 5697 "id": "4p18d", 5698 "ref": [ 5699 "3ad1", 5700 "3p7", 5701 "3p11sc", 5702 "3p11sc" 5703 ], 5704 "type": "demonstratio" 5705 }, 5706 "4p18sc": { 5707 "id": "4p18sc", 5708 "ref": [ 5709 "3p4", 5710 "4def8", 5711 "3p7", 5712 "2p13post4" 5713 ], 5714 "type": "scholium" 5715 }, 5716 "4p19": { 5717 "id": "4p19", 5718 "children": [ 5719 "4p19d" 5720 ], 5721 "type": "propositio", 5722 "number": 19 5723 }, 5724 "4p19d": { 5725 "id": "4p19d", 5726 "ref": [ 5727 "4p8", 5728 "3p28", 5729 "3p9sc", 5730 "3ad1" 5731 ], 5732 "type": "demonstratio" 5733 }, 5734 "4p1d": { 5735 "id": "4p1d", 5736 "ref": [ 5737 "2p35", 5738 "2p33", 5739 "2p32", 5740 "3p4" 5741 ], 5742 "type": "demonstratio" 5743 }, 5744 "4p1sc": { 5745 "id": "4p1sc", 5746 "ref": [ 5747 "2p16c2", 5748 "2p35sc", 5749 "2p17" 5750 ], 5751 "type": "scholium" 5752 }, 5753 "4p2": { 5754 "id": "4p2", 5755 "children": [ 5756 "4p2d" 5757 ], 5758 "type": "propositio", 5759 "number": 2 5760 }, 5761 "4p20": { 5762 "id": "4p20", 5763 "children": [ 5764 "4p20d", 5765 "4p20sc" 5766 ], 5767 "type": "propositio", 5768 "number": 20 5769 }, 5770 "4p20d": { 5771 "id": "4p20d", 5772 "ref": [ 5773 "4def8", 5774 "3p7", 5775 "3p4", 5776 "3p6" 5777 ], 5778 "type": "demonstratio" 5779 }, 5780 "4p20sc": { 5781 "id": "4p20sc", 5782 "ref": [ 5783 "3p10" 5784 ], 5785 "type": "scholium" 5786 }, 5787 "4p21": { 5788 "id": "4p21", 5789 "children": [ 5790 "4p21d" 5791 ], 5792 "type": "propositio", 5793 "number": 21 5794 }, 5795 "4p21d": { 5796 "id": "4p21d", 5797 "ref": [ 5798 "3ad1", 5799 "3p7" 5800 ], 5801 "type": "demonstratio" 5802 }, 5803 "4p22": { 5804 "id": "4p22", 5805 "children": [ 5806 "4p22d", 5807 "4p22c" 5808 ], 5809 "type": "propositio", 5810 "number": 22 5811 }, 5812 "4p22c": { 5813 "id": "4p22c", 5814 "ref": [ 5815 "4p22", 5816 "4p21" 5817 ], 5818 "type": "corollarium" 5819 }, 5820 "4p22d": { 5821 "id": "4p22d", 5822 "ref": [ 5823 "3p7", 5824 "4def8" 5825 ], 5826 "type": "demonstratio" 5827 }, 5828 "4p23": { 5829 "id": "4p23", 5830 "children": [ 5831 "4p23d" 5832 ], 5833 "type": "propositio", 5834 "number": 23 5835 }, 5836 "4p23d": { 5837 "id": "4p23d", 5838 "ref": [ 5839 "3p1", 5840 "3def1", 5841 "3def2", 5842 "4def8", 5843 "3p1", 5844 "3def2", 5845 "4def8" 5846 ], 5847 "type": "demonstratio" 5848 }, 5849 "4p24": { 5850 "id": "4p24", 5851 "children": [ 5852 "4p24d" 5853 ], 5854 "type": "propositio", 5855 "number": 24 5856 }, 5857 "4p24d": { 5858 "id": "4p24d", 5859 "ref": [ 5860 "4def8", 5861 "3p3", 5862 "4p22c" 5863 ], 5864 "type": "demonstratio" 5865 }, 5866 "4p25": { 5867 "id": "4p25", 5868 "children": [ 5869 "4p25d" 5870 ], 5871 "type": "propositio", 5872 "number": 25 5873 }, 5874 "4p25d": { 5875 "id": "4p25d", 5876 "ref": [ 5877 "3p7", 5878 "3p6", 5879 "4p22c", 5880 "4p22c" 5881 ], 5882 "type": "demonstratio" 5883 }, 5884 "4p26": { 5885 "id": "4p26", 5886 "children": [ 5887 "4p26d" 5888 ], 5889 "type": "propositio", 5890 "number": 26 5891 }, 5892 "4p26d": { 5893 "id": "4p26d", 5894 "ref": [ 5895 "3p7", 5896 "3p6", 5897 "3p9sc", 5898 "2p40sc2", 5899 "2p40", 5900 "4p22c", 5901 "4p25", 5902 "4def1" 5903 ], 5904 "type": "demonstratio" 5905 }, 5906 "4p27": { 5907 "id": "4p27", 5908 "children": [ 5909 "4p27d" 5910 ], 5911 "type": "propositio", 5912 "number": 27 5913 }, 5914 "4p27d": { 5915 "id": "4p27d", 5916 "ref": [ 5917 "4p26", 5918 "2p41", 5919 "2p43", 5920 "2p43sc", 5921 "2p40sc1", 5922 "2p40sc2" 5923 ], 5924 "type": "demonstratio" 5925 }, 5926 "4p28": { 5927 "id": "4p28", 5928 "children": [ 5929 "4p28d" 5930 ], 5931 "type": "propositio", 5932 "number": 28 5933 }, 5934 "4p28d": { 5935 "id": "4p28d", 5936 "ref": [ 5937 "1def6", 5938 "1p15", 5939 "4p26", 5940 "4p27", 5941 "4def1", 5942 "3p1", 5943 "3p3", 5944 "4p23" 5945 ], 5946 "type": "demonstratio" 5947 }, 5948 "4p29": { 5949 "id": "4p29", 5950 "children": [ 5951 "4p29d" 5952 ], 5953 "type": "propositio", 5954 "number": 29 5955 }, 5956 "4p29d": { 5957 "id": "4p29d", 5958 "ref": [ 5959 "2p10c", 5960 "1p28", 5961 "2p6", 5962 "4p8", 5963 "3p11sc" 5964 ], 5965 "type": "demonstratio" 5966 }, 5967 "4p2d": { 5968 "id": "4p2d", 5969 "ref": [ 5970 "3def2", 5971 "3def1" 5972 ], 5973 "type": "demonstratio" 5974 }, 5975 "4p3": { 5976 "id": "4p3", 5977 "children": [ 5978 "4p3d" 5979 ], 5980 "type": "propositio", 5981 "number": 3 5982 }, 5983 "4p30": { 5984 "id": "4p30", 5985 "children": [ 5986 "4p30d" 5987 ], 5988 "type": "propositio", 5989 "number": 30 5990 }, 5991 "4p30d": { 5992 "id": "4p30d", 5993 "ref": [ 5994 "4p8", 5995 "3p11sc", 5996 "3p4", 5997 "3p5" 5998 ], 5999 "type": "demonstratio" 6000 }, 6001 "4p31": { 6002 "id": "4p31", 6003 "children": [ 6004 "4p31d", 6005 "4p31c" 6006 ], 6007 "type": "propositio", 6008 "number": 31 6009 }, 6010 "4p31c": { 6011 "id": "4p31c", 6012 "ref": [ 6013 "4p29", 6014 "4p31" 6015 ], 6016 "type": "corollarium" 6017 }, 6018 "4p31d": { 6019 "id": "4p31d", 6020 "ref": [ 6021 "4p30", 6022 "4def1", 6023 "3p6" 6024 ], 6025 "type": "demonstratio" 6026 }, 6027 "4p32": { 6028 "id": "4p32", 6029 "children": [ 6030 "4p32d", 6031 "4p32sc" 6032 ], 6033 "type": "propositio", 6034 "number": 32 6035 }, 6036 "4p32d": { 6037 "id": "4p32d", 6038 "ref": [ 6039 "3p7", 6040 "3p3sc" 6041 ], 6042 "type": "demonstratio" 6043 }, 6044 "4p32sc": { 6045 "id": "4p32sc", 6046 "type": "scholium" 6047 }, 6048 "4p33": { 6049 "id": "4p33", 6050 "children": [ 6051 "4p33d" 6052 ], 6053 "type": "propositio", 6054 "number": 33 6055 }, 6056 "4p33d": { 6057 "id": "4p33d", 6058 "ref": [ 6059 "3def1", 6060 "3def2", 6061 "3p7", 6062 "3p56", 6063 "3p51", 6064 "3p51" 6065 ], 6066 "type": "demonstratio" 6067 }, 6068 "4p34": { 6069 "id": "4p34", 6070 "children": [ 6071 "4p34d", 6072 "4p34sc" 6073 ], 6074 "type": "propositio", 6075 "number": 34 6076 }, 6077 "4p34d": { 6078 "id": "4p34d", 6079 "ref": [ 6080 "3p16", 6081 "3p32", 6082 "3p32sc", 6083 "3p55c1sc", 6084 "3ad7", 6085 "3p40", 6086 "3p40sc", 6087 "3p39", 6088 "4p30", 6089 "3p59" 6090 ], 6091 "type": "demonstratio" 6092 }, 6093 "4p34sc": { 6094 "id": "4p34sc", 6095 "ref": [ 6096 "4p30", 6097 "4p31", 6098 "3p31", 6099 "3ad6" 6100 ], 6101 "type": "scholium" 6102 }, 6103 "4p35": { 6104 "id": "4p35", 6105 "children": [ 6106 "4p35d", 6107 "4p35c1", 6108 "4p35c2" 6109 ], 6110 "type": "propositio", 6111 "number": 35 6112 }, 6113 "4p35c1": { 6114 "id": "4p35c1", 6115 "ref": [ 6116 "4p31c", 6117 "3def2", 6118 "4p35" 6119 ], 6120 "type": "corollarium", 6121 "number": 1 6122 }, 6123 "4p35c2": { 6124 "id": "4p35c2", 6125 "children": [ 6126 "4p35c2sc" 6127 ], 6128 "ref": [ 6129 "4p20", 6130 "4def8", 6131 "3p3", 6132 "4p35", 6133 "4p35c1" 6134 ], 6135 "type": "corollarium", 6136 "number": 2 6137 }, 6138 "4p35c2sc": { 6139 "id": "4p35c2sc", 6140 "type": "scholium" 6141 }, 6142 "4p35d": { 6143 "id": "4p35d", 6144 "ref": [ 6145 "4p33", 6146 "4p34", 6147 "3p3", 6148 "3def2", 6149 "4p19", 6150 "2p41", 6151 "4p31c" 6152 ], 6153 "type": "demonstratio" 6154 }, 6155 "4p36": { 6156 "id": "4p36", 6157 "children": [ 6158 "4p36d", 6159 "4p36sc" 6160 ], 6161 "type": "propositio", 6162 "number": 36 6163 }, 6164 "4p36d": { 6165 "id": "4p36d", 6166 "ref": [ 6167 "4p24", 6168 "4p26", 6169 "4p28", 6170 "2p47", 6171 "2p47sc" 6172 ], 6173 "type": "demonstratio" 6174 }, 6175 "4p36sc": { 6176 "id": "4p36sc", 6177 "ref": [ 6178 "4p34", 6179 "4p35", 6180 "2p47" 6181 ], 6182 "type": "scholium" 6183 }, 6184 "4p37": { 6185 "id": "4p37", 6186 "children": [ 6187 "4p37d", 6188 "4p37a", 6189 "4p37sc1", 6190 "4p37sc2" 6191 ], 6192 "type": "propositio", 6193 "number": 37 6194 }, 6195 "4p37a": { 6196 "id": "4p37a", 6197 "ref": [ 6198 "3p31", 6199 "3p31c", 6200 "4p36", 6201 "3p37" 6202 ], 6203 "type": "aliter" 6204 }, 6205 "4p37d": { 6206 "id": "4p37d", 6207 "ref": [ 6208 "4p35c1", 6209 "4p19", 6210 "4p24", 6211 "4p26", 6212 "3ad1", 6213 "2p11", 6214 "2p47", 6215 "1p15" 6216 ], 6217 "type": "demonstratio" 6218 }, 6219 "4p37sc1": { 6220 "id": "4p37sc1", 6221 "ref": [ 6222 "4p18sc", 6223 "3p57sc" 6224 ], 6225 "type": "scholium", 6226 "number": 1 6227 }, 6228 "4p37sc2": { 6229 "id": "4p37sc2", 6230 "ref": [ 6231 "3p29sc", 6232 "4p19", 6233 "4p20", 6234 "3p40c2", 6235 "3p28", 6236 "4p35c1", 6237 "4p4c", 6238 "4p6", 6239 "4p33", 6240 "4p34", 6241 "4p35c2sc", 6242 "4p4c", 6243 "4p33", 6244 "4p7", 6245 "3p39", 6246 "4p17sc" 6247 ], 6248 "type": "scholium", 6249 "number": 2 6250 }, 6251 "4p38": { 6252 "id": "4p38", 6253 "children": [ 6254 "4p38d" 6255 ], 6256 "type": "propositio", 6257 "number": 38 6258 }, 6259 "4p38d": { 6260 "id": "4p38d", 6261 "ref": [ 6262 "2p14", 6263 "4p26", 6264 "4p27", 6265 "2p14", 6266 "4p26", 6267 "4p27" 6268 ], 6269 "type": "demonstratio" 6270 }, 6271 "4p39": { 6272 "id": "4p39", 6273 "children": [ 6274 "4p39d", 6275 "4p39sc" 6276 ], 6277 "type": "propositio", 6278 "number": 39 6279 }, 6280 "4p39d": { 6281 "id": "4p39d", 6282 "ref": [ 6283 "2p13post4", 6284 "2p13def", 6285 "2p13post3", 6286 "2p13post6", 6287 "4p38", 6288 "2p13def", 6289 "4pr", 6290 "4p38" 6291 ], 6292 "type": "demonstratio" 6293 }, 6294 "4p39sc": { 6295 "id": "4p39sc", 6296 "type": "scholium" 6297 }, 6298 "4p3d": { 6299 "id": "4p3d", 6300 "ref": [ 6301 "4ax" 6302 ], 6303 "type": "demonstratio" 6304 }, 6305 "4p4": { 6306 "id": "4p4", 6307 "children": [ 6308 "4p4d", 6309 "4p4c" 6310 ], 6311 "type": "propositio", 6312 "number": 4 6313 }, 6314 "4p40": { 6315 "id": "4p40", 6316 "children": [ 6317 "4p40d" 6318 ], 6319 "type": "propositio", 6320 "number": 40 6321 }, 6322 "4p40d": { 6323 "id": "4p40d", 6324 "ref": [ 6325 "4p35", 6326 "4p26", 6327 "4p27" 6328 ], 6329 "type": "demonstratio" 6330 }, 6331 "4p41": { 6332 "id": "4p41", 6333 "children": [ 6334 "4p41d" 6335 ], 6336 "type": "propositio", 6337 "number": 41 6338 }, 6339 "4p41d": { 6340 "id": "4p41d", 6341 "ref": [ 6342 "3p11", 6343 "3p11sc", 6344 "4p38" 6345 ], 6346 "type": "demonstratio" 6347 }, 6348 "4p42": { 6349 "id": "4p42", 6350 "children": [ 6351 "4p42d" 6352 ], 6353 "type": "propositio", 6354 "number": 42 6355 }, 6356 "4p42d": { 6357 "id": "4p42d", 6358 "ref": [ 6359 "3p11sc", 6360 "3p11", 6361 "4p39", 6362 "3p11sc", 6363 "4p38" 6364 ], 6365 "type": "demonstratio" 6366 }, 6367 "4p43": { 6368 "id": "4p43", 6369 "children": [ 6370 "4p43d" 6371 ], 6372 "type": "propositio", 6373 "number": 43 6374 }, 6375 "4p43d": { 6376 "id": "4p43d", 6377 "ref": [ 6378 "3p11sc", 6379 "4p6", 6380 "4p38", 6381 "4p41", 6382 "4p5", 6383 "4p3", 6384 "4p43d" 6385 ], 6386 "type": "demonstratio" 6387 }, 6388 "4p44": { 6389 "id": "4p44", 6390 "children": [ 6391 "4p44d", 6392 "4p44sc" 6393 ], 6394 "type": "propositio", 6395 "number": 44 6396 }, 6397 "4p44d": { 6398 "id": "4p44d", 6399 "ref": [ 6400 "3ad6", 6401 "3p11sc", 6402 "4p43", 6403 "3p37", 6404 "4p6" 6405 ], 6406 "type": "demonstratio" 6407 }, 6408 "4p44sc": { 6409 "id": "4p44sc", 6410 "type": "scholium" 6411 }, 6412 "4p45": { 6413 "id": "4p45", 6414 "children": [ 6415 "4p45d", 6416 "4p45sc", 6417 "4p45c1", 6418 "4p45c2" 6419 ], 6420 "type": "propositio", 6421 "number": 45 6422 }, 6423 "4p45c1": { 6424 "id": "4p45c1", 6425 "ref": [ 6426 "3p39", 6427 "4p37" 6428 ], 6429 "type": "corollarium", 6430 "number": 1 6431 }, 6432 "4p45c2": { 6433 "id": "4p45c2", 6434 "children": [ 6435 "4p45c2sc" 6436 ], 6437 "ref": [ 6438 "3p39", 6439 "4p37sc1", 6440 "4p37sc2" 6441 ], 6442 "type": "corollarium", 6443 "number": 2 6444 }, 6445 "4p45c2sc": { 6446 "id": "4p45c2sc", 6447 "ref": [ 6448 "4p45c1", 6449 "4p41" 6450 ], 6451 "type": "scholium" 6452 }, 6453 "4p45d": { 6454 "id": "4p45d", 6455 "ref": [ 6456 "3p39", 6457 "4p37" 6458 ], 6459 "type": "demonstratio" 6460 }, 6461 "4p45sc": { 6462 "id": "4p45sc", 6463 "type": "scholium" 6464 }, 6465 "4p46": { 6466 "id": "4p46", 6467 "children": [ 6468 "4p46d", 6469 "4p46sc" 6470 ], 6471 "type": "propositio", 6472 "number": 46 6473 }, 6474 "4p46d": { 6475 "id": "4p46d", 6476 "ref": [ 6477 "4p45c1", 6478 "4p19", 6479 "4p37", 6480 "3p43", 6481 "3p44", 6482 "3p59sc" 6483 ], 6484 "type": "demonstratio" 6485 }, 6486 "4p46sc": { 6487 "id": "4p46sc", 6488 "type": "scholium" 6489 }, 6490 "4p47": { 6491 "id": "4p47", 6492 "children": [ 6493 "4p47d", 6494 "4p47sc" 6495 ], 6496 "type": "propositio", 6497 "number": 47 6498 }, 6499 "4p47d": { 6500 "id": "4p47d", 6501 "ref": [ 6502 "3ad13", 6503 "3ad13e", 6504 "4p41", 6505 "4p43" 6506 ], 6507 "type": "demonstratio" 6508 }, 6509 "4p47sc": { 6510 "id": "4p47sc", 6511 "type": "scholium" 6512 }, 6513 "4p48": { 6514 "id": "4p48", 6515 "children": [ 6516 "4p48d" 6517 ], 6518 "type": "propositio", 6519 "number": 48 6520 }, 6521 "4p48d": { 6522 "id": "4p48d", 6523 "ref": [ 6524 "3ad21", 6525 "3ad22", 6526 "4p26", 6527 "4p27" 6528 ], 6529 "type": "demonstratio" 6530 }, 6531 "4p49": { 6532 "id": "4p49", 6533 "children": [ 6534 "4p49d" 6535 ], 6536 "type": "propositio", 6537 "number": 49 6538 }, 6539 "4p49d": { 6540 "id": "4p49d", 6541 "ref": [ 6542 "3p41sc", 6543 "3ad30", 6544 "3p25", 6545 "3ad28" 6546 ], 6547 "type": "demonstratio" 6548 }, 6549 "4p4c": { 6550 "id": "4p4c", 6551 "type": "corollarium" 6552 }, 6553 "4p4d": { 6554 "id": "4p4d", 6555 "ref": [ 6556 "1p24c", 6557 "3p7", 6558 "1p34", 6559 "3p4", 6560 "3p6", 6561 "4p3", 6562 "1p16", 6563 "1p21", 6564 "4p4d" 6565 ], 6566 "type": "demonstratio" 6567 }, 6568 "4p5": { 6569 "id": "4p5", 6570 "children": [ 6571 "4p5d" 6572 ], 6573 "type": "propositio", 6574 "number": 5 6575 }, 6576 "4p50": { 6577 "id": "4p50", 6578 "children": [ 6579 "4p50d", 6580 "4p50c" 6581 ], 6582 "type": "propositio", 6583 "number": 50 6584 }, 6585 "4p50c": { 6586 "id": "4p50c", 6587 "children": [ 6588 "4p50csc" 6589 ], 6590 "type": "corollarium" 6591 }, 6592 "4p50csc": { 6593 "id": "4p50csc", 6594 "ref": [ 6595 "3p27" 6596 ], 6597 "type": "scholium" 6598 }, 6599 "4p50d": { 6600 "id": "4p50d", 6601 "ref": [ 6602 "3ad18", 6603 "4p41", 6604 "3p27c3", 6605 "4p37", 6606 "4p27" 6607 ], 6608 "type": "demonstratio" 6609 }, 6610 "4p51": { 6611 "id": "4p51", 6612 "children": [ 6613 "4p51d", 6614 "4p51a", 6615 "4p51sc" 6616 ], 6617 "type": "propositio", 6618 "number": 51 6619 }, 6620 "4p51a": { 6621 "id": "4p51a", 6622 "ref": [ 6623 "4p37", 6624 "3p11sc", 6625 "3ad19" 6626 ], 6627 "type": "aliter" 6628 }, 6629 "4p51d": { 6630 "id": "4p51d", 6631 "ref": [ 6632 "3ad19", 6633 "3p59", 6634 "3p3" 6635 ], 6636 "type": "demonstratio" 6637 }, 6638 "4p51sc": { 6639 "id": "4p51sc", 6640 "ref": [ 6641 "3ad20", 6642 "4p45" 6643 ], 6644 "type": "scholium" 6645 }, 6646 "4p52": { 6647 "id": "4p52", 6648 "children": [ 6649 "4p52d", 6650 "4p52sc" 6651 ], 6652 "type": "propositio", 6653 "number": 52 6654 }, 6655 "4p52d": { 6656 "id": "4p52d", 6657 "ref": [ 6658 "3ad25", 6659 "3p3", 6660 "2p40", 6661 "2p43", 6662 "3def2", 6663 "3p3" 6664 ], 6665 "type": "demonstratio" 6666 }, 6667 "4p52sc": { 6668 "id": "4p52sc", 6669 "ref": [ 6670 "4p25", 6671 "3p53c", 6672 "3p55c1" 6673 ], 6674 "type": "scholium" 6675 }, 6676 "4p53": { 6677 "id": "4p53", 6678 "children": [ 6679 "4p53d" 6680 ], 6681 "type": "propositio", 6682 "number": 53 6683 }, 6684 "4p53d": { 6685 "id": "4p53d", 6686 "ref": [ 6687 "3ad26", 6688 "3p7", 6689 "3p55", 6690 "4p26" 6691 ], 6692 "type": "demonstratio" 6693 }, 6694 "4p54": { 6695 "id": "4p54", 6696 "children": [ 6697 "4p54d", 6698 "4p54sc" 6699 ], 6700 "type": "propositio", 6701 "number": 54 6702 }, 6703 "4p54d": { 6704 "id": "4p54d", 6705 "ref": [ 6706 "3ad27" 6707 ], 6708 "type": "demonstratio" 6709 }, 6710 "4p54sc": { 6711 "id": "4p54sc", 6712 "type": "scholium" 6713 }, 6714 "4p55": { 6715 "id": "4p55", 6716 "children": [ 6717 "4p55d" 6718 ], 6719 "type": "propositio", 6720 "number": 55 6721 }, 6722 "4p55d": { 6723 "id": "4p55d", 6724 "ref": [ 6725 "3ad28", 6726 "3ad29" 6727 ], 6728 "type": "demonstratio" 6729 }, 6730 "4p56": { 6731 "id": "4p56", 6732 "children": [ 6733 "4p56d", 6734 "4p56c" 6735 ], 6736 "type": "propositio", 6737 "number": 56 6738 }, 6739 "4p56c": { 6740 "id": "4p56c", 6741 "children": [ 6742 "4p56csc" 6743 ], 6744 "type": "corollarium" 6745 }, 6746 "4p56csc": { 6747 "id": "4p56csc", 6748 "ref": [ 6749 "4p18" 6750 ], 6751 "type": "scholium" 6752 }, 6753 "4p56d": { 6754 "id": "4p56d", 6755 "ref": [ 6756 "4p22c", 6757 "4p24", 6758 "4p24", 6759 "2p43", 6760 "4def8", 6761 "4p55" 6762 ], 6763 "type": "demonstratio" 6764 }, 6765 "4p57": { 6766 "id": "4p57", 6767 "children": [ 6768 "4p57d", 6769 "4p57sc" 6770 ], 6771 "type": "propositio", 6772 "number": 57 6773 }, 6774 "4p57d": { 6775 "id": "4p57d", 6776 "ref": [ 6777 "3ad28", 6778 "3ad6", 6779 "3p13csc" 6780 ], 6781 "type": "demonstratio" 6782 }, 6783 "4p57sc": { 6784 "id": "4p57sc", 6785 "ref": [ 6786 "3p55c2sc", 6787 "3p41sc", 6788 "3pr" 6789 ], 6790 "type": "scholium" 6791 }, 6792 "4p58": { 6793 "id": "4p58", 6794 "children": [ 6795 "4p58d", 6796 "4p58sc" 6797 ], 6798 "type": "propositio", 6799 "number": 58 6800 }, 6801 "4p58d": { 6802 "id": "4p58d", 6803 "ref": [ 6804 "3ad30", 6805 "4p37sc1" 6806 ], 6807 "type": "demonstratio" 6808 }, 6809 "4p58sc": { 6810 "id": "4p58sc", 6811 "ref": [ 6812 "4p52sc", 6813 "4p44sc" 6814 ], 6815 "type": "scholium" 6816 }, 6817 "4p59": { 6818 "id": "4p59", 6819 "children": [ 6820 "4p59d", 6821 "4p59a", 6822 "4p59sc" 6823 ], 6824 "type": "propositio", 6825 "number": 59 6826 }, 6827 "4p59a": { 6828 "id": "4p59a", 6829 "ref": [ 6830 "4p45c1", 6831 "4pr", 6832 "4p19" 6833 ], 6834 "type": "aliter" 6835 }, 6836 "4p59d": { 6837 "id": "4p59d", 6838 "ref": [ 6839 "3p3", 6840 "3def2", 6841 "4p41", 6842 "4p41", 6843 "4p43", 6844 "3p3", 6845 "3p3sc", 6846 "3ad4e", 6847 "3ad1" 6848 ], 6849 "type": "demonstratio" 6850 }, 6851 "4p59sc": { 6852 "id": "4p59sc", 6853 "type": "scholium" 6854 }, 6855 "4p5d": { 6856 "id": "4p5d", 6857 "ref": [ 6858 "3def1", 6859 "3def2", 6860 "3p7", 6861 "2p16" 6862 ], 6863 "type": "demonstratio" 6864 }, 6865 "4p6": { 6866 "id": "4p6", 6867 "children": [ 6868 "4p6d" 6869 ], 6870 "type": "propositio", 6871 "number": 6 6872 }, 6873 "4p60": { 6874 "id": "4p60", 6875 "children": [ 6876 "4p60d", 6877 "4p60sc" 6878 ], 6879 "type": "propositio", 6880 "number": 60 6881 }, 6882 "4p60d": { 6883 "id": "4p60d", 6884 "ref": [ 6885 "4p6", 6886 "3p6", 6887 "3p7", 6888 "3p12" 6889 ], 6890 "type": "demonstratio" 6891 }, 6892 "4p60sc": { 6893 "id": "4p60sc", 6894 "ref": [ 6895 "4p44sc", 6896 "4p9c" 6897 ], 6898 "type": "scholium" 6899 }, 6900 "4p61": { 6901 "id": "4p61", 6902 "children": [ 6903 "4p61d" 6904 ], 6905 "type": "propositio", 6906 "number": 61 6907 }, 6908 "4p61d": { 6909 "id": "4p61d", 6910 "ref": [ 6911 "3ad1", 6912 "3p3", 6913 "3def2" 6914 ], 6915 "type": "demonstratio" 6916 }, 6917 "4p62": { 6918 "id": "4p62", 6919 "children": [ 6920 "4p62d", 6921 "4p62sc" 6922 ], 6923 "type": "propositio", 6924 "number": 62 6925 }, 6926 "4p62d": { 6927 "id": "4p62d", 6928 "ref": [ 6929 "2p44c2", 6930 "2p43", 6931 "2p43sc", 6932 "2p41", 6933 "2def4" 6934 ], 6935 "type": "demonstratio" 6936 }, 6937 "4p62sc": { 6938 "id": "4p62sc", 6939 "ref": [ 6940 "2p31", 6941 "2p44c1sc", 6942 "4p16" 6943 ], 6944 "type": "scholium" 6945 }, 6946 "4p63": { 6947 "id": "4p63", 6948 "children": [ 6949 "4p63d", 6950 "4p63sc", 6951 "4p63c" 6952 ], 6953 "type": "propositio", 6954 "number": 63 6955 }, 6956 "4p63c": { 6957 "id": "4p63c", 6958 "children": [ 6959 "4p63cd", 6960 "4p63csc" 6961 ], 6962 "type": "corollarium" 6963 }, 6964 "4p63cd": { 6965 "id": "4p63cd", 6966 "ref": [ 6967 "3p59", 6968 "4p61", 6969 "4p8" 6970 ], 6971 "type": "demonstratio" 6972 }, 6973 "4p63csc": { 6974 "id": "4p63csc", 6975 "type": "scholium" 6976 }, 6977 "4p63d": { 6978 "id": "4p63d", 6979 "ref": [ 6980 "3p3", 6981 "3p59", 6982 "3ad13" 6983 ], 6984 "type": "demonstratio" 6985 }, 6986 "4p63sc": { 6987 "id": "4p63sc", 6988 "type": "scholium" 6989 }, 6990 "4p64": { 6991 "id": "4p64", 6992 "children": [ 6993 "4p64d", 6994 "4p64c" 6995 ], 6996 "type": "propositio", 6997 "number": 64 6998 }, 6999 "4p64c": { 7000 "id": "4p64c", 7001 "type": "corollarium" 7002 }, 7003 "4p64d": { 7004 "id": "4p64d", 7005 "ref": [ 7006 "4p8", 7007 "3ad3", 7008 "3p6", 7009 "3p7", 7010 "3def2", 7011 "3p3", 7012 "2p29" 7013 ], 7014 "type": "demonstratio" 7015 }, 7016 "4p65": { 7017 "id": "4p65", 7018 "children": [ 7019 "4p65d", 7020 "4p65c" 7021 ], 7022 "type": "propositio", 7023 "number": 65 7024 }, 7025 "4p65c": { 7026 "id": "4p65c", 7027 "ref": [ 7028 "4p63c" 7029 ], 7030 "type": "corollarium" 7031 }, 7032 "4p65d": { 7033 "id": "4p65d", 7034 "ref": [ 7035 "4pr", 7036 "4p63c" 7037 ], 7038 "type": "demonstratio" 7039 }, 7040 "4p66": { 7041 "id": "4p66", 7042 "children": [ 7043 "4p66d", 7044 "4p66c" 7045 ], 7046 "type": "propositio", 7047 "number": 66 7048 }, 7049 "4p66c": { 7050 "id": "4p66c", 7051 "children": [ 7052 "4p66csc" 7053 ], 7054 "ref": [ 7055 "4p66", 7056 "4p65c", 7057 "4p65" 7058 ], 7059 "type": "corollarium" 7060 }, 7061 "4p66csc": { 7062 "id": "4p66csc", 7063 "ref": [ 7064 "4p1", 7065 "4p2", 7066 "4p3", 7067 "4p4", 7068 "4p5", 7069 "4p6", 7070 "4p7", 7071 "4p8", 7072 "4p9", 7073 "4p10", 7074 "4p11", 7075 "4p12", 7076 "4p13", 7077 "4p14", 7078 "4p15", 7079 "4p16", 7080 "4p17", 7081 "4p18" 7082 ], 7083 "type": "scholium" 7084 }, 7085 "4p66d": { 7086 "id": "4p66d", 7087 "ref": [ 7088 "4p62", 7089 "4p65" 7090 ], 7091 "type": "demonstratio" 7092 }, 7093 "4p67": { 7094 "id": "4p67", 7095 "children": [ 7096 "4p67d" 7097 ], 7098 "type": "propositio", 7099 "number": 67 7100 }, 7101 "4p67d": { 7102 "id": "4p67d", 7103 "ref": [ 7104 "4p63", 7105 "4p63c", 7106 "4p24" 7107 ], 7108 "type": "demonstratio" 7109 }, 7110 "4p68": { 7111 "id": "4p68", 7112 "children": [ 7113 "4p68d", 7114 "4p68sc" 7115 ], 7116 "type": "propositio", 7117 "number": 68 7118 }, 7119 "4p68d": { 7120 "id": "4p68d", 7121 "ref": [ 7122 "4p64c" 7123 ], 7124 "type": "demonstratio" 7125 }, 7126 "4p68sc": { 7127 "id": "4p68sc", 7128 "ref": [ 7129 "4p4", 7130 "3p27", 7131 "4p37" 7132 ], 7133 "type": "scholium" 7134 }, 7135 "4p69": { 7136 "id": "4p69", 7137 "children": [ 7138 "4p69d", 7139 "4p69c" 7140 ], 7141 "type": "propositio", 7142 "number": 69 7143 }, 7144 "4p69c": { 7145 "id": "4p69c", 7146 "children": [ 7147 "4p69csc" 7148 ], 7149 "type": "corollarium" 7150 }, 7151 "4p69csc": { 7152 "id": "4p69csc", 7153 "ref": [ 7154 "3p59sc" 7155 ], 7156 "type": "scholium" 7157 }, 7158 "4p69d": { 7159 "id": "4p69d", 7160 "ref": [ 7161 "4p7", 7162 "4p5", 7163 "4p3", 7164 "3p59sc", 7165 "3ad40", 7166 "3ad41" 7167 ], 7168 "type": "demonstratio" 7169 }, 7170 "4p6d": { 7171 "id": "4p6d", 7172 "ref": [ 7173 "4p5", 7174 "4p3" 7175 ], 7176 "type": "demonstratio" 7177 }, 7178 "4p7": { 7179 "id": "4p7", 7180 "children": [ 7181 "4p7d", 7182 "4p7c" 7183 ], 7184 "type": "propositio", 7185 "number": 7 7186 }, 7187 "4p70": { 7188 "id": "4p70", 7189 "children": [ 7190 "4p70d", 7191 "4p70sc" 7192 ], 7193 "type": "propositio", 7194 "number": 70 7195 }, 7196 "4p70d": { 7197 "id": "4p70d", 7198 "ref": [ 7199 "3p39sc", 7200 "3p42", 7201 "4p37" 7202 ], 7203 "type": "demonstratio" 7204 }, 7205 "4p70sc": { 7206 "id": "4p70sc", 7207 "type": "scholium" 7208 }, 7209 "4p71": { 7210 "id": "4p71", 7211 "children": [ 7212 "4p71d", 7213 "4p71sc" 7214 ], 7215 "type": "propositio", 7216 "number": 71 7217 }, 7218 "4p71d": { 7219 "id": "4p71d", 7220 "ref": [ 7221 "4p35", 7222 "4p35c1", 7223 "4p37", 7224 "3ad34" 7225 ], 7226 "type": "demonstratio" 7227 }, 7228 "4p71sc": { 7229 "id": "4p71sc", 7230 "type": "scholium" 7231 }, 7232 "4p72": { 7233 "id": "4p72", 7234 "children": [ 7235 "4p72d", 7236 "4p72sc" 7237 ], 7238 "type": "propositio", 7239 "number": 72 7240 }, 7241 "4p72d": { 7242 "id": "4p72d", 7243 "ref": [ 7244 "4p24", 7245 "4p24", 7246 "4p31c" 7247 ], 7248 "type": "demonstratio" 7249 }, 7250 "4p72sc": { 7251 "id": "4p72sc", 7252 "type": "scholium" 7253 }, 7254 "4p73": { 7255 "id": "4p73", 7256 "children": [ 7257 "4p73d", 7258 "4p73sc" 7259 ], 7260 "type": "propositio", 7261 "number": 73 7262 }, 7263 "4p73d": { 7264 "id": "4p73d", 7265 "ref": [ 7266 "4p63", 7267 "4p66csc", 7268 "4p37", 7269 "4p37sc2" 7270 ], 7271 "type": "demonstratio" 7272 }, 7273 "4p73sc": { 7274 "id": "4p73sc", 7275 "ref": [ 7276 "3p59sc", 7277 "4p37", 7278 "4p46", 7279 "4p50csc" 7280 ], 7281 "type": "scholium" 7282 }, 7283 "4p7c": { 7284 "id": "4p7c", 7285 "ref": [ 7286 "4p7", 7287 "3agd" 7288 ], 7289 "type": "corollarium" 7290 }, 7291 "4p7d": { 7292 "id": "4p7d", 7293 "ref": [ 7294 "3agd", 7295 "4p5", 7296 "2p6", 7297 "3p5", 7298 "4ax", 7299 "2p12", 7300 "3agd" 7301 ], 7302 "type": "demonstratio" 7303 }, 7304 "4p8": { 7305 "id": "4p8", 7306 "children": [ 7307 "4p8d" 7308 ], 7309 "type": "propositio", 7310 "number": 8 7311 }, 7312 "4p8d": { 7313 "id": "4p8d", 7314 "ref": [ 7315 "4def1", 7316 "4def2", 7317 "3p7", 7318 "3p11sc", 7319 "2p22", 7320 "2p21", 7321 "2p21sc", 7322 "3agd" 7323 ], 7324 "type": "demonstratio" 7325 }, 7326 "4p9": { 7327 "id": "4p9", 7328 "children": [ 7329 "4p9d", 7330 "4p9sc", 7331 "4p9c" 7332 ], 7333 "type": "propositio", 7334 "number": 9 7335 }, 7336 "4p9c": { 7337 "id": "4p9c", 7338 "type": "corollarium" 7339 }, 7340 "4p9d": { 7341 "id": "4p9d", 7342 "ref": [ 7343 "2p17csc", 7344 "2p16c2", 7345 "3agd", 7346 "2p17" 7347 ], 7348 "type": "demonstratio" 7349 }, 7350 "4p9sc": { 7351 "id": "4p9sc", 7352 "ref": [ 7353 "3p18" 7354 ], 7355 "type": "scholium" 7356 }, 7357 "4pr": { 7358 "id": "4pr", 7359 "ref": [ 7360 "1p16", 7361 "2def6" 7362 ], 7363 "type": "praefatio" 7364 }, 7365 "5": { 7366 "id": "5", 7367 "children": [ 7368 "5pr", 7369 "5ax", 7370 "5p1", 7371 "5p2", 7372 "5p3", 7373 "5p4", 7374 "5p5", 7375 "5p6", 7376 "5p7", 7377 "5p8", 7378 "5p9", 7379 "5p10", 7380 "5p11", 7381 "5p12", 7382 "5p13", 7383 "5p14", 7384 "5p15", 7385 "5p16", 7386 "5p17", 7387 "5p18", 7388 "5p19", 7389 "5p20", 7390 "5p21", 7391 "5p22", 7392 "5p23", 7393 "5p24", 7394 "5p25", 7395 "5p26", 7396 "5p27", 7397 "5p28", 7398 "5p29", 7399 "5p30", 7400 "5p31", 7401 "5p32", 7402 "5p33", 7403 "5p34", 7404 "5p35", 7405 "5p36", 7406 "5p37", 7407 "5p38", 7408 "5p39", 7409 "5p40", 7410 "5p41", 7411 "5p42" 7412 ], 7413 "type": "pars", 7414 "number": 5, 7415 "title": "De potentia intellectus seu de libertate humana" 7416 }, 7417 "5ax": { 7418 "id": "5ax", 7419 "children": [ 7420 "5ax1", 7421 "5ax2" 7422 ], 7423 "type": "axiomata" 7424 }, 7425 "5ax1": { 7426 "id": "5ax1", 7427 "type": "axioma", 7428 "number": 1 7429 }, 7430 "5ax2": { 7431 "id": "5ax2", 7432 "ref": [ 7433 "3p7" 7434 ], 7435 "type": "axioma", 7436 "number": 2 7437 }, 7438 "5p1": { 7439 "id": "5p1", 7440 "children": [ 7441 "5p1d" 7442 ], 7443 "type": "propositio", 7444 "number": 1 7445 }, 7446 "5p10": { 7447 "id": "5p10", 7448 "children": [ 7449 "5p10d", 7450 "5p10sc" 7451 ], 7452 "type": "propositio", 7453 "number": 10 7454 }, 7455 "5p10d": { 7456 "id": "5p10d", 7457 "ref": [ 7458 "4p30", 7459 "4p27", 7460 "4p26", 7461 "2p40sc2", 7462 "2p47sc", 7463 "5p1" 7464 ], 7465 "type": "demonstratio" 7466 }, 7467 "5p10sc": { 7468 "id": "5p10sc", 7469 "ref": [ 7470 "5p7", 7471 "4p46", 7472 "4p46sc", 7473 "2p18", 7474 "4p52", 7475 "5p6", 7476 "5p7", 7477 "5p8", 7478 "4p63c", 7479 "3p59" 7480 ], 7481 "type": "scholium" 7482 }, 7483 "5p11": { 7484 "id": "5p11", 7485 "children": [ 7486 "5p11d" 7487 ], 7488 "type": "propositio", 7489 "number": 11 7490 }, 7491 "5p11d": { 7492 "id": "5p11d", 7493 "ref": [ 7494 "5p8" 7495 ], 7496 "type": "demonstratio" 7497 }, 7498 "5p12": { 7499 "id": "5p12", 7500 "children": [ 7501 "5p12d" 7502 ], 7503 "type": "propositio", 7504 "number": 12 7505 }, 7506 "5p12d": { 7507 "id": "5p12d", 7508 "ref": [ 7509 "2p40sc2", 7510 "5p11", 7511 "2p18" 7512 ], 7513 "type": "demonstratio" 7514 }, 7515 "5p13": { 7516 "id": "5p13", 7517 "children": [ 7518 "5p13d" 7519 ], 7520 "type": "propositio", 7521 "number": 13 7522 }, 7523 "5p13d": { 7524 "id": "5p13d", 7525 "ref": [ 7526 "2p18" 7527 ], 7528 "type": "demonstratio" 7529 }, 7530 "5p14": { 7531 "id": "5p14", 7532 "children": [ 7533 "5p14d" 7534 ], 7535 "type": "propositio", 7536 "number": 14 7537 }, 7538 "5p14d": { 7539 "id": "5p14d", 7540 "ref": [ 7541 "5p4", 7542 "1p15" 7543 ], 7544 "type": "demonstratio" 7545 }, 7546 "5p15": { 7547 "id": "5p15", 7548 "children": [ 7549 "5p15d" 7550 ], 7551 "type": "propositio", 7552 "number": 15 7553 }, 7554 "5p15d": { 7555 "id": "5p15d", 7556 "ref": [ 7557 "3p53", 7558 "5p14", 7559 "3ad6" 7560 ], 7561 "type": "demonstratio" 7562 }, 7563 "5p16": { 7564 "id": "5p16", 7565 "children": [ 7566 "5p16d" 7567 ], 7568 "type": "propositio", 7569 "number": 16 7570 }, 7571 "5p16d": { 7572 "id": "5p16d", 7573 "ref": [ 7574 "5p14", 7575 "5p15", 7576 "5p11" 7577 ], 7578 "type": "demonstratio" 7579 }, 7580 "5p17": { 7581 "id": "5p17", 7582 "children": [ 7583 "5p17d", 7584 "5p17c" 7585 ], 7586 "type": "propositio", 7587 "number": 17 7588 }, 7589 "5p17c": { 7590 "id": "5p17c", 7591 "ref": [ 7592 "5p17", 7593 "3ad6", 7594 "3ad7" 7595 ], 7596 "type": "corollarium" 7597 }, 7598 "5p17d": { 7599 "id": "5p17d", 7600 "ref": [ 7601 "2p32", 7602 "2def4", 7603 "3agd", 7604 "1p20c2", 7605 "3ad2", 7606 "3ad3" 7607 ], 7608 "type": "demonstratio" 7609 }, 7610 "5p18": { 7611 "id": "5p18", 7612 "children": [ 7613 "5p18d", 7614 "5p18c" 7615 ], 7616 "type": "propositio", 7617 "number": 18 7618 }, 7619 "5p18c": { 7620 "id": "5p18c", 7621 "children": [ 7622 "5p18csc" 7623 ], 7624 "type": "corollarium" 7625 }, 7626 "5p18csc": { 7627 "id": "5p18csc", 7628 "ref": [ 7629 "5p3", 7630 "3p59" 7631 ], 7632 "type": "scholium" 7633 }, 7634 "5p18d": { 7635 "id": "5p18d", 7636 "ref": [ 7637 "2p46", 7638 "2p47", 7639 "3p3", 7640 "3p59", 7641 "3ad7" 7642 ], 7643 "type": "demonstratio" 7644 }, 7645 "5p19": { 7646 "id": "5p19", 7647 "children": [ 7648 "5p19d" 7649 ], 7650 "type": "propositio", 7651 "number": 19 7652 }, 7653 "5p19d": { 7654 "id": "5p19d", 7655 "ref": [ 7656 "5p17c", 7657 "3p19", 7658 "3p28" 7659 ], 7660 "type": "demonstratio" 7661 }, 7662 "5p1d": { 7663 "id": "5p1d", 7664 "ref": [ 7665 "2p7", 7666 "2p6c", 7667 "2p7c", 7668 "2p18", 7669 "3p2" 7670 ], 7671 "type": "demonstratio" 7672 }, 7673 "5p2": { 7674 "id": "5p2", 7675 "children": [ 7676 "5p2d" 7677 ], 7678 "type": "propositio", 7679 "number": 2 7680 }, 7681 "5p20": { 7682 "id": "5p20", 7683 "children": [ 7684 "5p20d", 7685 "5p20sc" 7686 ], 7687 "type": "propositio", 7688 "number": 20 7689 }, 7690 "5p20d": { 7691 "id": "5p20d", 7692 "ref": [ 7693 "4p28", 7694 "4p36", 7695 "4p37", 7696 "3ad23", 7697 "5p18", 7698 "3p35sc", 7699 "3p31" 7700 ], 7701 "type": "demonstratio" 7702 }, 7703 "5p20sc": { 7704 "id": "5p20sc", 7705 "ref": [ 7706 "5p4csc", 7707 "5p2", 7708 "5p4csc", 7709 "5p7", 7710 "5p9", 7711 "5p11", 7712 "5p10sc", 7713 "5p12", 7714 "5p13", 7715 "5p14", 7716 "4p5", 7717 "2p47sc", 7718 "5p3", 7719 "5p4csc", 7720 "5p14", 7721 "5p15", 7722 "2p45", 7723 "5p15", 7724 "5p16", 7725 "3p1", 7726 "3p3" 7727 ], 7728 "type": "scholium" 7729 }, 7730 "5p21": { 7731 "id": "5p21", 7732 "children": [ 7733 "5p21d" 7734 ], 7735 "type": "propositio", 7736 "number": 21 7737 }, 7738 "5p21d": { 7739 "id": "5p21d", 7740 "ref": [ 7741 "2p8c", 7742 "2p26", 7743 "2p17csc", 7744 "2p18sc" 7745 ], 7746 "type": "demonstratio" 7747 }, 7748 "5p22": { 7749 "id": "5p22", 7750 "children": [ 7751 "5p22d" 7752 ], 7753 "type": "propositio", 7754 "number": 22 7755 }, 7756 "5p22d": { 7757 "id": "5p22d", 7758 "ref": [ 7759 "1p25", 7760 "1ax4", 7761 "1p16", 7762 "2p3" 7763 ], 7764 "type": "demonstratio" 7765 }, 7766 "5p23": { 7767 "id": "5p23", 7768 "children": [ 7769 "5p23d", 7770 "5p23sc" 7771 ], 7772 "type": "propositio", 7773 "number": 23 7774 }, 7775 "5p23d": { 7776 "id": "5p23d", 7777 "ref": [ 7778 "5p22", 7779 "2p13", 7780 "2p8c", 7781 "5p22" 7782 ], 7783 "type": "demonstratio" 7784 }, 7785 "5p23sc": { 7786 "id": "5p23sc", 7787 "type": "scholium" 7788 }, 7789 "5p24": { 7790 "id": "5p24", 7791 "children": [ 7792 "5p24d" 7793 ], 7794 "type": "propositio", 7795 "number": 24 7796 }, 7797 "5p24d": { 7798 "id": "5p24d", 7799 "ref": [ 7800 "1p25c" 7801 ], 7802 "type": "demonstratio" 7803 }, 7804 "5p25": { 7805 "id": "5p25", 7806 "children": [ 7807 "5p25d" 7808 ], 7809 "type": "propositio", 7810 "number": 25 7811 }, 7812 "5p25d": { 7813 "id": "5p25d", 7814 "ref": [ 7815 "2p40sc2", 7816 "5p24", 7817 "4p28", 7818 "4def8", 7819 "3p7" 7820 ], 7821 "type": "demonstratio" 7822 }, 7823 "5p26": { 7824 "id": "5p26", 7825 "children": [ 7826 "5p26d" 7827 ], 7828 "type": "propositio", 7829 "number": 26 7830 }, 7831 "5p26d": { 7832 "id": "5p26d", 7833 "ref": [ 7834 "3ad1" 7835 ], 7836 "type": "demonstratio" 7837 }, 7838 "5p27": { 7839 "id": "5p27", 7840 "children": [ 7841 "5p27d" 7842 ], 7843 "type": "propositio", 7844 "number": 27 7845 }, 7846 "5p27d": { 7847 "id": "5p27d", 7848 "ref": [ 7849 "4p28", 7850 "5p25", 7851 "5p24", 7852 "3ad2", 7853 "2p43", 7854 "3ad25" 7855 ], 7856 "type": "demonstratio" 7857 }, 7858 "5p28": { 7859 "id": "5p28", 7860 "children": [ 7861 "5p28d" 7862 ], 7863 "type": "propositio", 7864 "number": 28 7865 }, 7866 "5p28d": { 7867 "id": "5p28d", 7868 "ref": [ 7869 "2p40sc2", 7870 "2p40sc2", 7871 "2p40sc2", 7872 "3ad1" 7873 ], 7874 "type": "demonstratio" 7875 }, 7876 "5p29": { 7877 "id": "5p29", 7878 "children": [ 7879 "5p29d", 7880 "5p29sc" 7881 ], 7882 "type": "propositio", 7883 "number": 29 7884 }, 7885 "5p29d": { 7886 "id": "5p29d", 7887 "ref": [ 7888 "5p21", 7889 "2p26", 7890 "1def8", 7891 "1def8e", 7892 "2p44c2", 7893 "5p23", 7894 "2p13" 7895 ], 7896 "type": "demonstratio" 7897 }, 7898 "5p29sc": { 7899 "id": "5p29sc", 7900 "ref": [ 7901 "2p45", 7902 "2p45sc" 7903 ], 7904 "type": "scholium" 7905 }, 7906 "5p2d": { 7907 "id": "5p2d", 7908 "ref": [ 7909 "3ad6", 7910 "3ad7" 7911 ], 7912 "type": "demonstratio" 7913 }, 7914 "5p3": { 7915 "id": "5p3", 7916 "children": [ 7917 "5p3d", 7918 "5p3c" 7919 ], 7920 "type": "propositio", 7921 "number": 3 7922 }, 7923 "5p30": { 7924 "id": "5p30", 7925 "children": [ 7926 "5p30d" 7927 ], 7928 "type": "propositio", 7929 "number": 30 7930 }, 7931 "5p30d": { 7932 "id": "5p30d", 7933 "ref": [ 7934 "1def8" 7935 ], 7936 "type": "demonstratio" 7937 }, 7938 "5p31": { 7939 "id": "5p31", 7940 "children": [ 7941 "5p31d", 7942 "5p31sc" 7943 ], 7944 "type": "propositio", 7945 "number": 31 7946 }, 7947 "5p31d": { 7948 "id": "5p31d", 7949 "ref": [ 7950 "5p29", 7951 "5p21", 7952 "5p23", 7953 "5p30", 7954 "2p46", 7955 "2p40", 7956 "2p40sc2", 7957 "3def1" 7958 ], 7959 "type": "demonstratio" 7960 }, 7961 "5p31sc": { 7962 "id": "5p31sc", 7963 "type": "scholium" 7964 }, 7965 "5p32": { 7966 "id": "5p32", 7967 "children": [ 7968 "5p32d", 7969 "5p32c" 7970 ], 7971 "type": "propositio", 7972 "number": 32 7973 }, 7974 "5p32c": { 7975 "id": "5p32c", 7976 "ref": [ 7977 "5p32", 7978 "3ad6", 7979 "5p29" 7980 ], 7981 "type": "corollarium" 7982 }, 7983 "5p32d": { 7984 "id": "5p32d", 7985 "ref": [ 7986 "5p27", 7987 "3ad25", 7988 "5p30" 7989 ], 7990 "type": "demonstratio" 7991 }, 7992 "5p33": { 7993 "id": "5p33", 7994 "children": [ 7995 "5p33d", 7996 "5p33sc" 7997 ], 7998 "type": "propositio", 7999 "number": 33 8000 }, 8001 "5p33d": { 8002 "id": "5p33d", 8003 "ref": [ 8004 "5p31", 8005 "1ax3", 8006 "1ax3" 8007 ], 8008 "type": "demonstratio" 8009 }, 8010 "5p33sc": { 8011 "id": "5p33sc", 8012 "ref": [ 8013 "5p33", 8014 "5p32c" 8015 ], 8016 "type": "scholium" 8017 }, 8018 "5p34": { 8019 "id": "5p34", 8020 "children": [ 8021 "5p34d", 8022 "5p34c" 8023 ], 8024 "type": "propositio", 8025 "number": 34 8026 }, 8027 "5p34c": { 8028 "id": "5p34c", 8029 "children": [ 8030 "5p34csc" 8031 ], 8032 "type": "corollarium" 8033 }, 8034 "5p34csc": { 8035 "id": "5p34csc", 8036 "type": "scholium" 8037 }, 8038 "5p34d": { 8039 "id": "5p34d", 8040 "ref": [ 8041 "2p17csc", 8042 "2p16c2", 8043 "3agd", 8044 "5p21" 8045 ], 8046 "type": "demonstratio" 8047 }, 8048 "5p35": { 8049 "id": "5p35", 8050 "children": [ 8051 "5p35d" 8052 ], 8053 "type": "propositio", 8054 "number": 35 8055 }, 8056 "5p35d": { 8057 "id": "5p35d", 8058 "ref": [ 8059 "1def6", 8060 "2def6", 8061 "2p3", 8062 "1p11", 8063 "1def1", 8064 "5p32c" 8065 ], 8066 "type": "demonstratio" 8067 }, 8068 "5p36": { 8069 "id": "5p36", 8070 "children": [ 8071 "5p36d", 8072 "5p36c" 8073 ], 8074 "type": "propositio", 8075 "number": 36 8076 }, 8077 "5p36c": { 8078 "id": "5p36c", 8079 "children": [ 8080 "5p36csc" 8081 ], 8082 "type": "corollarium" 8083 }, 8084 "5p36csc": { 8085 "id": "5p36csc", 8086 "ref": [ 8087 "3ad25", 8088 "3ad30", 8089 "5p35", 8090 "5p27", 8091 "1p15", 8092 "2p47sc", 8093 "2p40sc2" 8094 ], 8095 "type": "scholium" 8096 }, 8097 "5p36d": { 8098 "id": "5p36d", 8099 "ref": [ 8100 "5p32c", 8101 "3p3", 8102 "5p32", 8103 "5p32c", 8104 "1p25c", 8105 "2p11c", 8106 "5p35" 8107 ], 8108 "type": "demonstratio" 8109 }, 8110 "5p37": { 8111 "id": "5p37", 8112 "children": [ 8113 "5p37d", 8114 "5p37sc" 8115 ], 8116 "type": "propositio", 8117 "number": 37 8118 }, 8119 "5p37d": { 8120 "id": "5p37d", 8121 "ref": [ 8122 "5p33", 8123 "5p29" 8124 ], 8125 "type": "demonstratio" 8126 }, 8127 "5p37sc": { 8128 "id": "5p37sc", 8129 "ref": [ 8130 "4ax" 8131 ], 8132 "type": "scholium" 8133 }, 8134 "5p38": { 8135 "id": "5p38", 8136 "children": [ 8137 "5p38d", 8138 "5p38sc" 8139 ], 8140 "type": "propositio", 8141 "number": 38 8142 }, 8143 "5p38d": { 8144 "id": "5p38d", 8145 "ref": [ 8146 "2p11", 8147 "5p23", 8148 "5p29", 8149 "5p37", 8150 "4p30" 8151 ], 8152 "type": "demonstratio" 8153 }, 8154 "5p38sc": { 8155 "id": "5p38sc", 8156 "ref": [ 8157 "4p39sc", 8158 "5p27", 8159 "5p21" 8160 ], 8161 "type": "scholium" 8162 }, 8163 "5p39": { 8164 "id": "5p39", 8165 "children": [ 8166 "5p39d", 8167 "5p39sc" 8168 ], 8169 "type": "propositio", 8170 "number": 39 8171 }, 8172 "5p39d": { 8173 "id": "5p39d", 8174 "ref": [ 8175 "4p38", 8176 "4p30", 8177 "5p10", 8178 "5p14", 8179 "5p15", 8180 "5p16", 8181 "5p33" 8182 ], 8183 "type": "demonstratio" 8184 }, 8185 "5p39sc": { 8186 "id": "5p39sc", 8187 "ref": [ 8188 "5p38sc" 8189 ], 8190 "type": "scholium" 8191 }, 8192 "5p3c": { 8193 "id": "5p3c", 8194 "type": "corollarium" 8195 }, 8196 "5p3d": { 8197 "id": "5p3d", 8198 "ref": [ 8199 "3agd", 8200 "2p21", 8201 "2p21sc", 8202 "3p3" 8203 ], 8204 "type": "demonstratio" 8205 }, 8206 "5p4": { 8207 "id": "5p4", 8208 "children": [ 8209 "5p4d", 8210 "5p4c" 8211 ], 8212 "type": "propositio", 8213 "number": 4 8214 }, 8215 "5p40": { 8216 "id": "5p40", 8217 "children": [ 8218 "5p40d", 8219 "5p40c" 8220 ], 8221 "type": "propositio", 8222 "number": 40 8223 }, 8224 "5p40c": { 8225 "id": "5p40c", 8226 "children": [ 8227 "5p40csc" 8228 ], 8229 "ref": [ 8230 "5p23", 8231 "5p29", 8232 "3p3", 8233 "5p21", 8234 "3p3", 8235 "3agd", 8236 "5p40" 8237 ], 8238 "type": "corollarium" 8239 }, 8240 "5p40csc": { 8241 "id": "5p40csc", 8242 "ref": [ 8243 "1p21" 8244 ], 8245 "type": "scholium" 8246 }, 8247 "5p40d": { 8248 "id": "5p40d", 8249 "ref": [ 8250 "2def6", 8251 "3p3", 8252 "3p3sc" 8253 ], 8254 "type": "demonstratio" 8255 }, 8256 "5p41": { 8257 "id": "5p41", 8258 "children": [ 8259 "5p41d", 8260 "5p41sc" 8261 ], 8262 "type": "propositio", 8263 "number": 41 8264 }, 8265 "5p41d": { 8266 "id": "5p41d", 8267 "ref": [ 8268 "4p22c", 8269 "4p24" 8270 ], 8271 "type": "demonstratio" 8272 }, 8273 "5p41sc": { 8274 "id": "5p41sc", 8275 "type": "scholium" 8276 }, 8277 "5p42": { 8278 "id": "5p42", 8279 "children": [ 8280 "5p42d", 8281 "5p42sc" 8282 ], 8283 "type": "propositio", 8284 "number": 42 8285 }, 8286 "5p42d": { 8287 "id": "5p42d", 8288 "ref": [ 8289 "5p36", 8290 "5p36csc", 8291 "5p32c", 8292 "3p59", 8293 "3p3", 8294 "4def8", 8295 "5p32", 8296 "5p3c", 8297 "5p38" 8298 ], 8299 "type": "demonstratio" 8300 }, 8301 "5p42sc": { 8302 "id": "5p42sc", 8303 "type": "scholium" 8304 }, 8305 "5p4c": { 8306 "id": "5p4c", 8307 "children": [ 8308 "5p4csc" 8309 ], 8310 "ref": [ 8311 "3agd", 8312 "5p4" 8313 ], 8314 "type": "corollarium" 8315 }, 8316 "5p4csc": { 8317 "id": "5p4csc", 8318 "ref": [ 8319 "1p36", 8320 "2p40", 8321 "5p2", 8322 "4p61", 8323 "3p31c", 8324 "4p37sc1", 8325 "4p37a", 8326 "4p59", 8327 "3p3" 8328 ], 8329 "type": "scholium" 8330 }, 8331 "5p4d": { 8332 "id": "5p4d", 8333 "ref": [ 8334 "2p38", 8335 "2p12", 8336 "2p13l2" 8337 ], 8338 "type": "demonstratio" 8339 }, 8340 "5p5": { 8341 "id": "5p5", 8342 "children": [ 8343 "5p5d" 8344 ], 8345 "type": "propositio", 8346 "number": 5 8347 }, 8348 "5p5d": { 8349 "id": "5p5d", 8350 "ref": [ 8351 "3p49", 8352 "4p11", 8353 "2p35sc" 8354 ], 8355 "type": "demonstratio" 8356 }, 8357 "5p6": { 8358 "id": "5p6", 8359 "children": [ 8360 "5p6d", 8361 "5p6sc" 8362 ], 8363 "type": "propositio", 8364 "number": 6 8365 }, 8366 "5p6d": { 8367 "id": "5p6d", 8368 "ref": [ 8369 "1p29", 8370 "1p28", 8371 "5p5", 8372 "3p48" 8373 ], 8374 "type": "demonstratio" 8375 }, 8376 "5p6sc": { 8377 "id": "5p6sc", 8378 "type": "scholium" 8379 }, 8380 "5p7": { 8381 "id": "5p7", 8382 "children": [ 8383 "5p7d" 8384 ], 8385 "type": "propositio", 8386 "number": 7 8387 }, 8388 "5p7d": { 8389 "id": "5p7d", 8390 "ref": [ 8391 "2p17", 8392 "4p6", 8393 "4p9", 8394 "2p40sc2", 8395 "2p38", 8396 "5ax1" 8397 ], 8398 "type": "demonstratio" 8399 }, 8400 "5p8": { 8401 "id": "5p8", 8402 "children": [ 8403 "5p8d", 8404 "5p8sc" 8405 ], 8406 "type": "propositio", 8407 "number": 8 8408 }, 8409 "5p8d": { 8410 "id": "5p8d", 8411 "ref": [ 8412 "3p7", 8413 "4p5" 8414 ], 8415 "type": "demonstratio" 8416 }, 8417 "5p8sc": { 8418 "id": "5p8sc", 8419 "ref": [ 8420 "5ax2" 8421 ], 8422 "type": "scholium" 8423 }, 8424 "5p9": { 8425 "id": "5p9", 8426 "children": [ 8427 "5p9d" 8428 ], 8429 "type": "propositio", 8430 "number": 9 8431 }, 8432 "5p9d": { 8433 "id": "5p9d", 8434 "ref": [ 8435 "4p26", 8436 "4p27", 8437 "3p7", 8438 "2p11", 8439 "3p48" 8440 ], 8441 "type": "demonstratio" 8442 }, 8443 "5pr": { 8444 "id": "5pr", 8445 "type": "praefatio" 8446 } 8447 } 8448