Euclid’s Elements in Greek: Vol. I: Books 1-4

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Richard Fitzpatrick9781411626720, 1411626729

The Greek text of J.L. Heiberg (1883-1884) from Euclidis Elementa, edidit et Latine interpretatus est I.L. Heiberg, Lipsiae, in aedibus B.G. Teubneri, 1883-1884 with an accompanying English translation

Table of contents :
Title page……Page 1
Dedication……Page 2
Preface……Page 3
Book 1: Fundamentals of plane geometry involving straight-lines……Page 4
Definitions……Page 6
Proposition 1.1……Page 10
Proposition 1.2……Page 12
Proposition 1.3……Page 14
Proposition 1.4……Page 16
Proposition 1.5……Page 18
Proposition 1.6……Page 20
Proposition 1.7……Page 22
Proposition 1.8……Page 24
Proposition 1.9……Page 26
Proposition 1.10……Page 28
Proposition 1.11……Page 30
Proposition 1.12……Page 32
Proposition 1.13……Page 34
Proposition 1.14……Page 36
Proposition 1.15……Page 38
Proposition 1.16……Page 40
Proposition 1.17……Page 42
Proposition 1.18……Page 44
Proposition 1.19……Page 46
Proposition 1.20……Page 48
Proposition 1.21……Page 50
Proposition 1.22……Page 52
Proposition 1.23……Page 54
Proposition 1.24……Page 56
Proposition 1.25……Page 58
Proposition 1.26……Page 60
Proposition 1.27……Page 64
Proposition 1.28……Page 66
Proposition 1.29……Page 68
Proposition 1.30……Page 70
Proposition 1.31……Page 72
Proposition 1.32……Page 74
Proposition 1.33……Page 76
Proposition 1.34……Page 78
Proposition 1.35……Page 80
Proposition 1.36……Page 82
Proposition 1.37……Page 84
Proposition 1.38……Page 86
Proposition 1.39……Page 88
Proposition 1.40……Page 90
Proposition 1.41……Page 92
Proposition 1.42……Page 94
Proposition 1.43……Page 96
Proposition 1.44……Page 98
Proposition 1.45……Page 100
Proposition 1.46……Page 102
Proposition 1.47……Page 104
Proposition 1.48……Page 108
Book 2: Fundamentals of geometric algebra……Page 110
Definitions……Page 112
Proposition 2.1……Page 114
Proposition 2.2……Page 116
Proposition 2.3……Page 118
Proposition 2.4……Page 120
Proposition 2.5……Page 124
Proposition 2.6……Page 126
Proposition 2.7……Page 128
Proposition 2.8……Page 130
Proposition 2.9……Page 134
Proposition 2.10……Page 138
Proposition 2.11……Page 142
Proposition 2.12……Page 146
Proposition 2.13……Page 148
Proposition 2.14……Page 150
Book 3: Fundamentals of plane geometry involving circles……Page 152
Definitions……Page 154
Proposition 3.1……Page 156
Proposition 3.2……Page 158
Proposition 3.3……Page 160
Proposition 3.4……Page 162
Proposition 3.5……Page 164
Proposition 3.6……Page 166
Proposition 3.7……Page 168
Proposition 3.8……Page 172
Proposition 3.9……Page 176
Proposition 3.10……Page 178
Proposition 3.11……Page 180
Proposition 3.12……Page 182
Proposition 3.13……Page 184
Proposition 3.14……Page 186
Proposition 3.15……Page 190
Proposition 3.16……Page 192
Proposition 3.17……Page 196
Proposition 3.18……Page 198
Proposition 3.19……Page 200
Proposition 3.20……Page 202
Proposition 3.21……Page 204
Proposition 3.22……Page 206
Proposition 3.23……Page 208
Proposition 3.24……Page 210
Proposition 3.25……Page 212
Proposition 3.26……Page 214
Proposition 3.27……Page 216
Proposition 3.28……Page 218
Proposition 3.29……Page 220
Proposition 3.30……Page 222
Proposition 3.31……Page 224
Proposition 3.32……Page 228
Proposition 3.33……Page 230
Proposition 3.34……Page 234
Proposition 3.35……Page 236
Proposition 3.36……Page 240
Proposition 3.37……Page 244
Book 4: Construction of rectilinear figures in and around circles……Page 246
Definitions……Page 248
Propostion 4.1……Page 250
Propostion 4.2……Page 252
Propostion 4.3……Page 254
Propostion 4.4……Page 256
Propostion 4.5……Page 258
Propostion 4.6……Page 260
Propostion 4.7……Page 262
Propostion 4.8……Page 264
Propostion 4.9……Page 266
Propostion 4.10……Page 268
Propostion 4.11……Page 270
Propostion 4.12……Page 272
Propostion 4.13……Page 276
Propostion 4.14……Page 280
Propostion 4.15……Page 282
Propostion 4.16……Page 286
Book 5: Proportion……Page 288
Definitions……Page 290
Proposition 5.1……Page 294
Proposition 5.2……Page 296
Proposition 5.3……Page 298
Proposition 5.4……Page 300
Proposition 5.5……Page 302
Proposition 5.6……Page 304
Proposition 5.7……Page 306
Proposition 5.8……Page 308
Proposition 5.9……Page 312
Proposition 5.10……Page 314
Proposition 5.11……Page 316
Proposition 5.12……Page 318
Proposition 5.13……Page 320
Proposition 5.14……Page 322
Proposition 5.15……Page 324
Proposition 5.16……Page 326
Proposition 5.17……Page 328
Proposition 5.18……Page 330
Proposition 5.19……Page 332
Proposition 5.20……Page 334
Proposition 5.21……Page 336
Proposition 5.22……Page 338
Proposition 5.23……Page 340
Proposition 5.24……Page 342
Proposition 5.25……Page 344
Book 6: Similar figures……Page 346
Definitions……Page 348
Proposition 6.1……Page 350
Proposition 6.2……Page 354
Proposition 6.3……Page 358
Proposition 6.4……Page 362
Proposition 6.5……Page 364
Proposition 6.6……Page 366
Proposition 6.7……Page 368
Proposition 6.8……Page 372
Proposition 6.9……Page 376
Proposition 6.10……Page 378
Proposition 6.11……Page 380
Proposition 6.12……Page 382
Proposition 6.13……Page 384
Proposition 6.14……Page 386
Proposition 6.15……Page 388
Proposition 6.16……Page 390
Proposition 6.17……Page 394
Proposition 6.18……Page 396
Proposition 6.19……Page 398
Proposition 6.20……Page 400
Proposition 6.21……Page 404
Proposition 6.22……Page 406
Proposition 6.23……Page 410
Proposition 6.24……Page 412
Proposition 6.25……Page 416
Proposition 6.26……Page 418
Proposition 6.27……Page 420
Proposition 6.28……Page 422
Proposition 6.29……Page 426
Proposition 6.30……Page 430
Proposition 6.31……Page 432
Proposition 6.32……Page 434
Proposition 6.33……Page 436
Book 7: Elementary number theory……Page 440
Definitions……Page 442
Proposition 7.1……Page 446
Proposition 7.2……Page 448
Proposition 7.3……Page 452
Proposition 7.4……Page 454
Proposition 7.5……Page 456
Proposition 7.6……Page 458
Proposition 7.7……Page 460
Proposition 7.8……Page 462
Proposition 7.9……Page 464
Proposition 7.10……Page 466
Proposition 7.11……Page 468
Proposition 7.12……Page 470
Proposition 7.13……Page 472
Proposition 7.14……Page 474
Proposition 7.15……Page 476
Proposition 7.16……Page 478
Proposition 7.17……Page 480
Proposition 7.18……Page 482
Proposition 7.19……Page 484
Proposition 7.20……Page 486
Proposition 7.21……Page 488
Proposition 7.22……Page 490
Proposition 7.23……Page 492
Proposition 7.24……Page 494
Proposition 7.25……Page 496
Proposition 7.26……Page 498
Proposition 7.27……Page 500
Proposition 7.28……Page 502
Proposition 7.29……Page 504
Proposition 7.30……Page 506
Proposition 7.31……Page 508
Proposition 7.32……Page 510
Proposition 7.33……Page 512
Proposition 7.34……Page 514
Proposition 7.35……Page 518
Proposition 7.36……Page 520
Proposition 7.37……Page 522
Proposition 7.38……Page 524
Proposition 7.39……Page 526
Book 8: Continued proportion……Page 528
Proposition 8.1……Page 530
Proposition 8.2……Page 532
Proposition 8.3……Page 536
Proposition 8.4……Page 538
Proposition 8.5……Page 542
Proposition 8.6……Page 544
Proposition 8.7……Page 546
Proposition 8.8……Page 548
Proposition 8.9……Page 550
Proposition 8.10……Page 554
Proposition 8.11……Page 558
Proposition 8.12……Page 560
Proposition 8.13……Page 562
Proposition 8.14……Page 564
Proposition 8.15……Page 566
Proposition 8.16……Page 568
Proposition 8.17……Page 570
Proposition 8.18……Page 572
Proposition 8.19……Page 574
Proposition 8.20……Page 578
Proposition 8.21……Page 580
Proposition 8.22……Page 584
Proposition 8.23……Page 586
Proposition 8.24……Page 588
Proposition 8.25……Page 590
Proposition 8.26……Page 592
Proposition 8.27……Page 594
Book 9: Applications of number theory……Page 596
Proposition 9.1……Page 598
Proposition 9.2……Page 600
Proposition 9.3……Page 602
Proposition 9.4……Page 604
Proposition 9.5……Page 606
Proposition 9.6……Page 608
Proposition 9.7……Page 610
Proposition 9.8……Page 612
Proposition 9.9……Page 614
Proposition 9.10……Page 616
Proposition 9.11……Page 620
Proposition 9.12……Page 622
Proposition 9.13……Page 626
Proposition 9.14……Page 630
Proposition 9.15……Page 632
Proposition 9.16……Page 636
Proposition 9.17……Page 638
Proposition 9.18……Page 640
Proposition 9.19……Page 644
Proposition 9.20……Page 646
Proposition 9.21……Page 648
Proposition 9.22……Page 650
Proposition 9.23……Page 652
Proposition 9.24……Page 654
Proposition 9.25……Page 656
Proposition 9.26……Page 658
Proposition 9.27……Page 660
Proposition 9.28……Page 662
Proposition 9.29……Page 664
Proposition 9.30……Page 666
Proposition 9.31……Page 668
Proposition 9.32……Page 670
Proposition 9.33……Page 672
Proposition 9.34……Page 674
Proposition 9.35……Page 676
Proposition 9.36……Page 678
Greek-English lexicon……Page 682

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