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Dickson L.E. — History of the Theory of Numbers, Volume ll: Diophantine Analysis |
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Предметный указатель |
Schmitz, T. 400 (399 400)
Schoenbaum, E. 764
Schoenborn, W. 342
Schoene, H. [485]
Schoenemann, T. 86 287
Schoentjes, H. 66
Schopis 548 618 735
Schotten, H. 169
Schroeder, J. 395
Schubert 145
Schubert, H. 63 171 199 205—208 213 219 221 223—224 252 271 201)
Schueler, W.F.S. 52
Schuhmacher 549
Schulte, E. 691
Schulz, J.O.L. 186 [3]
Schulz, O. 213 224
Schulze, J.C. 189
Schumacher, H.C. 195
Schur, J. 159 163 400 721 774 763)
Schwenter, D. 60
Schwering, K. 213—215 222 389 501 557 576 581 497 558 640—641 697)
Scorza, G. 161
Scott, Judge 182 456 500 505 504)
Secretan 715
Seeling, P. 243 379 380
Seminvariant 124 142 571 643
Sensenig, D.M. 567
Separations 151 156 161
Series of L. Pisano 170
Serret, J.A. 237
Sharp, W.J.C. 141 143—144 148
Shiraishi, C. 560
Shodja B. Adam 77
Sierpinski, W. 253 272 315 404 273 318)
Silidorf, G. 128
Silliman, B. [236]
Simerka, W. 196 (201)
Simon, M. 399 (346)
Simpson, H. 355
Slavik, J. 51 703
Slide rule 694
Smith, D.E. [4 77 192 560]
Smith, H.J.S. 51 72 83 89 90 113 240 262 292 295 308 312 320 338 352 357 378 382 418 431 745 83—85 92 305 314 315 376 378 408 412 417 733)
Smyth 437
Snellius, W. [608]
Snip, W. 601
Sollertinski, B. 300
Sommer, J. 96 253 396 412 549 620 762
Sondat, P. 556 591
Soons 760 (747)
Sophien 769
Sos, E. 406 690—691
Soschino, S. 53
Soufflet 39
Souillart, C. 291 594
Spaczinski [68]
Speckmann, G. 390 757
Spelta, C. 46
Speusippus 1
Spherical triangle, rational 224
Spicer, W. 599
Spunar, V.M. 502
Square 1—4 7 8 12 16 20 26 27 31 32 176 “Differences” “Every” “Number” “Sum”)
Square roots see “Approximation”
Squares in arithmetical progression 186 435—440 443 446 489 492 498 527 604 617 635
Squares in geometrical progression 441
Squares, linear functions of, made squares 502—511
Squares, sum of two less third a Square 507—509
Squares, sums by twos squares 497—502 529
St. Croix 7 (6)
Staeckel, P. 760
Steen, Ad. 486
Steggall, J.E.A. 560 647 688
Stegmann, F. 22
Steinitz, E. 92
Stern, M.A. 65 86 114 140 298 370 377 379 291 299 301—302 385 391)
Stevenson, J. 585
Stevin, Simon 516 [355]
Stieltjes, T.J. 64 75 85 246 310 312
Stifel, M. 5 60 105 167 9 170)
Stockhaus, H. 767 (550)
Stoddard and Henkle 438
Stoermer, C. 251 391 396 538 696 543)
Strachey, E. 349 [42]
Stridsberg, E. 722 725
Strong, T. 370 512 525 636 726
Struiste, L. 53
Struve, J. 18 82 943
Struve, K.L. 343
Studnicka, F.J. 89 411
Studnicks, F.J. 300
Sturm, J.B. 23
Sucksdorff, C.G. 629
Suhle, H. 239 (236)
Sum and difference of two squares not squares 618
Sum of 2 cubes a square 572 578—581 587 600 752 758
Sum of 2 squares 11 15 23 27 32 33 36—38 68 225—257 308 317 321 322 346 348—349 359 364—365 372 373—374 383 385—387 394 399 400 405 407 533 703 716
Sum of 2 squares 234 236 249 259—257
Sum of 2 squares a square 23 190 446 466 483 497 527 601—602 613
Sum of 3 cubes a square 566 605—606
Sum of 3 cubes a sum of 2 squares 588
Sum of 3 squares 11 16 17 21 23 233 244 259—274 276 278—279 282 322 335 350 385 605 718 720
Sum of 3 squares 271—273
Sum of 3 squares a square 222 249 260—262 265—269 271—274 443 450 502—505 688—689
Sum of 3 squares a sum of two 244 267—268 272—274 384 434
Sum of 4 squares 6 15 18 24 33 233 250 261 267 270 273 275—303 307—308 310 312 314 316—317 320—322 329 330 339 428 529 649 666 718—719
Sum of 4 squares with given algebraic sum of roots 25 278—279 284 289 291—294 319
Sum of any 2 of 4 integers a cube 561
Sum of consecutive integers 139 159 160 162
Sum of cubes of numbers in a square 585—588 685
Sum of cubes of numbers in arithmetical progression a cube 583—585 685
Sum of divisors 19 24 31 125 140 244 246 250 264 266 269 285 289 296 305—317 329—339
Sum of m m-gonal numbers see “Polygonal”
Sum of n cubes less g a square 607—612
Sum of n squares 17 22 25—27 32 37 253 273—275 305—323 329 331—332 334—336 339 453 544 585 660 664 705—712 720
Sum of n squares a square 318—323 425 434 609 612
Sum of n squares, power of 319 321—322
Sum of squares a biquadrate 620—627 665—667 670
Summation over divisors 329—330
Sums of 2 squares, quotient of 252—253
Sums of 2 squares, two equal 206 225—227 229 232—233 237 245 248 252—254 256—257 263 273 283 345 347 426—428 436 447 450 452 455 457 492 494—495 497 499 500 504 525
Sums of 3 squares, product of two, a sum of 3 squares 263 267—271 273
Sums of 3 squares, product of two, not a sum of 3 squares 261
Sums of 3 squares, two equal 260 264 267—269 270—274 284 299
Sums of 4 squares, product of two, a sum of 4 squares 277 281 283 291 293 298 302—303 530—531
Sums of 4 squares, two equal 277—278 284 291—292 298—299 303
Sums of n squares, product of two 285 318 323
Sums of n squares, quotient of two 314
Sun-Tsue 57 (60)
Surtees, J. 436
Suter, H. [77 350]
Suzuki, T. 687 773
Svechnikoff 188
Swift, E. 543 665 702 773
Sykors, A. 404
Sylow, L. 733
Sylvester, J.J. 51 66 117 119 122—124 128 131 134—135 137 139 140—141 144 290 295 410 549 574—576 589 591 755 93 106 116 120—121 123—125 131 133 136 142 151—152 154—155 159 160 575—576 591 770)
Symbolic 30 164 703 722 773
Symbols, 370
Symbols, 7
Symbols, 7
Symbols, 1 3
Symbols, , , , 6
Symbols, 16
Symbols, , , , 6
Symbols, 705
Symbols, (a, b, ...) and [a, b, ...] in continued fractions 49 357
Symbols, (a/b) of Legendre and Jacobi 366 370
Symbols, O(x) 255
Symbols, q(m) 768
| Symbols, [n] 54
Symmetric function 101 122 144—146 154 160
Syzygy 76 161 571 643
Szenic 64
Szilysen, K. 257
table 2 12 15 20 34 38 51 104—105 117 125 127—129 133 136 141 144 155 163 179 183 189 190 192 195—196 198—200 219 225 232—233 236—237 241 251—252 257 271 274—275 290 297 353—358 363 366 368—370 373 375 377 379 380 386 388 389 391 394 396 398—400 407 435 448 459 462 464 471 473 485 494 538—539 541 564 573—574 634—635 650 653 656 683 686 717 719 722 739
Tafelmacher, A. 440 656
Tafelmacher, W.L.A. 619 755 758
Tait, P.G. 144 549 746 538)
Talbot, H.F. 745—746 (733)
Talir, J. 39
Tangent method 174 558 576 590—592 695 661
Tangential 591—592
Tanner, H.W. Lloyd 143 594
Tannery and Molk 285
Tannery, P. 6 37 186 225 342 345—346 350—351 354 486 502 536 545 568 602 606 616 638 687 3 165]
Tano, F. 386—387 (321 434)
Tanturri, A. 164 687
Tardy, P. 728
Tarry, G. 708—709 710 712 710 716)
Tarry, H. 758
Tartaglia, N. 79 463 509 463)
Taylor, H.M. 706
Taylor, J. [42 166]
Taylor, J.H. 706 (716)
Tchebychef, P.L. 54 94 288 376
Tebay, S. 28 145 184 188—189 196 381 483 506 524 563 605 611 199 726)
Tedenat, P. 368
Teege, H. 755
Teilhet, P.F. 37 38 252 393 427 558 580 601 663 681—682 696 726 758 557)
Temme, J.A. 53
Tenca, L. 35
Tenner, G.W. 372—373 (358 382)
Tennulius, S. [3]
Terquem, O. 22 77 78 216 226 344 460 619 629 739 740 619) 79]
Tesch J.W. 205
Tessanek, J. 366
Testi, G.M. 53 72
Tetradecagonal 5
Tetragone 7
Tetrahedral 4 7 23 25 36
tetrahedron 502
Tetrahedron, rational 220 222—224
Thaarup, F. 53 171
Thacker, A. 62 80 171
Theime, F.E. 344
Theon of Smyrna 1 342 18 167)
Theta functions 113 254 273—274 300 303 314 316 378 398
Thomas, K. 745
Thompson, T. (493)
Thorin, A. 149 689
Thue, A. 262 391 427 538 543 580 592 633 675 678 698 758 764 770 776 543 676)
Tiebe, A. 190
Tits, L. 35 (32)
Todhunter, I. 746
Torelli, G. 294 300 338
Toroid 566
Torricelli, E. 621
Transon, A. 22 502
Transversion 137
triangle see “Oblique” “Rational” “Right”
Triangle of Pascal 4 9
Triangle of Tartaglia 36
Triangular number 1—39 103 130 152 248 260 276 289 292 342—344 401 407 435 574 587 664 707
Triangular number equal to a difference of biquadrates 36
Triangular number equal to a difference of cubes 36 37
Triangular number equal to a pentagonal number 18 19 32 33 35
Triangular number equal to a square 3 7 10 13 16 26 27 31 32 38
Triangular number equal to a square of a triangular number 27 36 37
Triangular number not a biquadrate 8 10 17 22 25 36
Triangular number not a cube 10 17 25 33
Triangular numbers, consecutive 2 27 30 33 38
Triangular numbers, difference of 24 26 33—35
Triangular numbers, product of 12 29 31 33—36 38
Triangular numbers, sum of certain and squares 2 5 12 15 20 23 26 36—38
Triangular numbers, sum of certain and squares, gives every number 11 15 23 24 26
Triangular numbers, sum of four 19 20 23—26 32
Triangular numbers, sum of n 4 19 22—24 28 30 32 34—37 130
Triangular numbers, sum of squares of 5 12 23 26 27 33
Triangular numbers, sum of three 6 11—13 15—18 20 24 26 28 29 31 33—35 37 38
Triangular numbers, sum of two 2 9 11 12 15 24 26 27 30—32 34 36—38
Triangular-pyramid 2 4 9
Trianguli-pyramidal 7
Triangulo-triangular 7
Trigone 7
Trihedral angle, rational 221 224 502
Triple equation 445
Trudi, N. 125 132 106 119)
Tucker, R. 187
Turriere, E. 188—189 201 205 213 215 221 274 428 439 440 468 471 488 513 566 595 621 323 439)
Turtschaninov, A. 764
Tweedie, C. 174 (599)
T’si-yen rule 67 69 60
Unferdinger, F. 241—242 293
Unger, E.S. 342
Unicornus, I. 5 167
Unicursal curve 642 676—677
Unicursal surface 677
UNIT 396 399 412 536 578 594 741—742 755
Uspenskij, J. 96
Uspenskij, J.V. 316
Vacca, G. 57 227 719
Vachette, A. 126 126 739 745
Vahlen, K.Th. 146 250 270 299 150 152 154 162 254 298)
Valla, G. 5 486
Valroff, L. 406
Van Aubel, H. 386
Van Ceulen, L. 608
Van Cleeff, J. 39
Van der Burg, C.J. 170
van der Corput, J.G. 256 578 773
Van E. Tengbergen, C. 0 325
Van Hengel, J. 687
van Oss, S.L. 98
Van Schooten, F. 8 60 105 192 201 545 608 668 550]
Vandiver, H.S. 440 542 594 597 731 745 773 775 767)
Varali-Thevenet, V. 171
Varchon, L. 578
Variations 140 154
Varisco, D. 754
Velmine, P.V. 760 (774)
Verhagen, H. 703
Vermehren, A. 171 242
Verniory 145
Vernon, N. 513
Vieta, F. 167 172 175 192 226 435 444 514 550 552 615 173 176 439 440 446 551—552 554 557 607)
Vieth, G.U.A. 39
Villagrass, P.B. 79
Vince, S. 112
Vincent, A.J.H. 344
Virgins 79 106 123
Vischers, J.N. 585
Vivante, J. 386
Volpicelli, P. 106 118 168 234 238 240 403 619 169 172 240)
Von Clausberg, C. 61
Von Graffenried, J.R. 5
Von Luehmann, F. 190
Von Schaewen, P. 393 401 457—458 492 568 567—568)
Von Schrutka, L. 33 35 162
Von Speyer, J. 78 276
Von Sterneck, R.D. 87 88 150 152 154 160 270 301 719 164)
Von Sz. Nagy, J. 641 677
Von Sz. Nagy. J. 568 (676)
Von Vitry, P. 731
Von Wasserschleben 128
Waeschke, H. [486]
Walker, L.C. 571 627
Wallace, W. 527
Wallis, J. 7 61 184 351—355 545 552 616 47 351 355—356 358 395 608)
Walmond 666
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