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File:Omar Kayyám - Geometric solution to cubic equation.svg

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Omar Kayyám's Geometric solution to cubic equation. To solve the third-degree equation x^3 + a^2x = b Khayyám constructed the parabola x^2 = ay, a circle with diameter b/a^2, and a vertical line through the intersection point. The solution is given by the length of the horizontal line segment from
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the origin to the intersection of the vertical line and the x-axis.
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I, the copyright holder of this work, release this work into the
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Omar Kayyám - Geometric solution to cubic equation.svg
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728:משתמש:Asaf M/מתמטיקה בעולם האסלאם של ימי הביניים 678:Matematika u srednjovjekovnom islamskom svijetu 94: 590:fixing aspect ratio problem, simplifying code 8: 333:Khayyam solution of a third-degree equation. 46:Size of this PNG preview of this SVG file: 805: 718:Ilimin lissafi a duniyar Islama ta tsakiya 658:Orta əsrlərdə İslam ölkələrində riyaziyyat 512: 329: 236:I grant anyone the right to use this work 192: 640:The following other wikis use this file: 615:Mathematics in the medieval Islamic world 823: 815: 807: 602: 486: 470: 452: 436: 416: 400: 380: 364: 347: 344: 325: 318: 217: 7: 501: 798: 630:User:Ramzuiv/sandbox/Cubic Formula 338: 332: 298: 279: 258: 138: 126: 76: 738:Matematika Islam abad pertengahan 337: 323: 311: 292: 273: 252: 216: 93: 31: 21: 320: 139: 14: 319: 26: 1: 620:Talk:Cubic function/Archive 4 489:original creation by uploader 36: 345:Items portrayed in this file 698:ریاضیات قدیمه در جهان اسلام 845: 788:Toán học Hồi giáo Trung Cổ 784:Usage on vi.wikipedia.org 774:Usage on uk.wikipedia.org 764:Usage on tr.wikipedia.org 754:Usage on ru.wikipedia.org 744:Usage on pl.wikipedia.org 734:Usage on id.wikipedia.org 724:Usage on he.wikipedia.org 714:Usage on ha.wikipedia.org 704:Usage on fr.wikipedia.org 694:Usage on fa.wikipedia.org 684:Usage on es.wikipedia.org 674:Usage on bs.wikipedia.org 664:Usage on bn.wikipedia.org 654:Usage on az.wikipedia.org 644:Usage on ar.wikipedia.org 768:Orta Çağ İslam matematiği 502: 229:. This applies worldwide. 164: 16: 688:Ecuación de tercer grado 322: 100:This is a file from the 589: 559: 180: 170: 160: 153: 150: 131: 104:. Information from its 812:Polynomial of degree 2 668:মধ্যযুগীয় ইসলামে গণিত 309:vector graphics editor 107:description page there 758:Кубическое уравнение 568:20:01, 16 March 2011 538:22:43, 16 March 2011 70:1,638 × 2,048 pixels 625:User:GD0614/sandbox 284:was created with a 52:Other resolutions: 610:History of algebra 66:819 × 1,024 pixels 832: 831: 636:Global file usage 593: 403:copyright license 331: 249: 248: 245: 244: 233: 211: 210: 189: 186:Reusing this file 122: 121: 102:Wikimedia Commons 32:Global file usage 836: 806: 778:Кубічне рівняння 708:Équation cubique 580: 550: 367:copyright status 315: 296: 277: 268: 256: 231: 220: 219: 213: 207: 204: 201: 198: 193: 183: 166: 156: 143: 135: 129: 118: 97: 96: 90: 84: 73: 62:614 × 768 pixels 58:384 × 480 pixels 54:192 × 240 pixels 48:360 × 450 pixels 844: 843: 839: 838: 837: 835: 834: 833: 794: 634: 601: 594: 586: 578: 556: 548: 504: 503: 500: 499: 498: 497: 496: 495: 494: 493: 491: 479: 478: 477: 475: 464: 463: 462: 461: 460: 459: 458: 457: 455: 445: 444: 443: 441: 430: 429: 428: 427: 426: 425: 424: 423: 421: 409: 408: 407: 405: 394: 393: 392: 391: 390: 389: 388: 387: 385: 373: 372: 371: 369: 358: 357: 356: 355: 354: 352: 336: 335: 334: 317: 316: 290: 289: 271: 270: 264: 250: 238:for any purpose 205: 202: 199: 196: 146: 133: 124: 123: 112: 111: 110:is shown below. 86: 82: 75: 74: 51: 12: 11: 5: 842: 840: 830: 829: 826: 822: 821: 818: 814: 813: 810: 797: 793: 792: 791: 790: 782: 781: 780: 772: 771: 770: 762: 761: 760: 752: 751: 750: 742: 741: 740: 732: 731: 730: 722: 721: 720: 712: 711: 710: 702: 701: 700: 692: 691: 690: 682: 681: 680: 672: 671: 670: 662: 661: 660: 652: 651: 650: 648:معادلة تكعيبية 638: 637: 633: 632: 627: 622: 617: 612: 607: 605:Cubic equation 599: 598: 597: 592: 591: 588: 584: 581: 575: 570: 565: 562: 561: 558: 554: 551: 545: 540: 535: 531: 530: 527: 524: 521: 518: 515: 508: 507: 492: 487: 485: 484: 483: 482: 481: 480: 476: 473:source of file 471: 469: 468: 467: 466: 465: 456: 453: 451: 450: 449: 448: 447: 446: 442: 437: 435: 434: 433: 432: 431: 422: 417: 415: 414: 413: 412: 411: 410: 406: 401: 399: 398: 397: 396: 395: 386: 381: 379: 378: 377: 376: 375: 374: 370: 365: 363: 362: 361: 360: 359: 353: 348: 346: 343: 342: 341: 340: 339: 328: 327: 324: 321: 301:do not replace 291: 272: 251: 247: 246: 243: 242: 221: 209: 208: 190: 178: 177: 172: 168: 167: 162: 158: 157: 152: 148: 147: 136: 127: 125: 120: 119: 98: 88: 87: 45: 41: 40: 39: 34: 29: 24: 19: 13: 10: 9: 6: 4: 3: 2: 841: 827: 824: 819: 816: 811: 808: 804: 801: 795: 789: 786: 785: 783: 779: 776: 775: 773: 769: 766: 765: 763: 759: 756: 755: 753: 749: 746: 745: 743: 739: 736: 735: 733: 729: 726: 725: 723: 719: 716: 715: 713: 709: 706: 705: 703: 699: 696: 695: 693: 689: 686: 685: 683: 679: 676: 675: 673: 669: 666: 665: 663: 659: 656: 655: 653: 649: 646: 645: 643: 642: 641: 635: 631: 628: 626: 623: 621: 618: 616: 613: 611: 608: 606: 603: 595: 587: 585:Pieter Kuiper 582: 576: 574: 571: 569: 566: 564: 563: 557: 552: 546: 544: 541: 539: 536: 533: 532: 528: 525: 522: 519: 516: 514: 513: 511: 505: 490: 474: 454:15 March 2011 440: 420: 404: 384: 368: 351: 314: 310: 307:or any other 306: 302: 295: 287: 283: 276: 267: 262: 255: 241: 239: 234: 230: 228: 227: 226:public domain 222: 215: 214: 200:Public domain 197:Public domain 195: 194: 191: 187: 182: 179: 176: 175:Pieter Kuiper 173: 169: 163: 159: 155:15 March 2011 149: 142: 137: 130: 116: 109: 108: 103: 99: 92: 91: 85: 80: 79:Original file 71: 67: 63: 59: 55: 49: 44: 38: 35: 33: 30: 28: 25: 23: 20: 18: 15: 802: 799: 639: 509: 506:File history 300: 282:vector image 237: 235: 224: 140: 115:You can help 105: 77: 22:File history 809:Short title 579:(826 bytes) 549:(827 bytes) 286:text editor 132:Description 596:File usage 577:360 × 450 560:fix colour 547:360 × 450 523:Dimensions 181:Permission 27:File usage 555:Ruud Koot 520:Thumbnail 517:Date/Time 439:inception 141:English: 796:Metadata 326:Captions 305:Inkscape 263:code is 165:Own work 37:Metadata 748:Algebra 534:current 529:Comment 350:depicts 330:English 299:Please 81:‎ 825:Height 297:  280:This 278:  257:  171:Author 161:Source 817:Width 266:valid 206:false 203:false 526:User 259:The 151:Date 17:File 828:450 820:360 261:SVG 68:| 64:| 60:| 56:| 50:. 288:. 269:. 188:) 184:( 117:. 72:.

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File:Omar Kayyám - Geometric solution to cubic equation.svg
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