Knowledge (XXG)

File:Euler spiral.svg

Source 📝

251: 284: 290: 43: 295: 240: 95: 219: 158:
The Euler spiral as precise Bézier arcs. The spiral was calculated by numerically solving the differential equation that defines the Euler spiral, to an error less than 1e-6, at points were the curve direction makes equal angular steps, of 0.001°. The spiral was then divided in segments, to each of
149:
Spirala Euler sub formă de arce Bézier precise. Spirala a fost calculată prin rezolvarea numerică a ecuației diferențiale care definește spirala Euler, cu o eroare sub 1e-6, în punctele unde direcția curbei face pași unghiulari egali, de 0,001°. Spirala a fost apoi divizată în segmente la care au
159:
which a cubic Bézier arc was fitted so that in no point the fitting error was larger than 1e-6. For this, the spiral was cut in the places where it makes the following angles: 0°, 1°, 5°, 15° and then every 15° up to 10*360°. The SVG file preserves the 1e-6 accuracy level.
150:
fost fitate arce Bézier cubice în așa fel încît nicăieri eroarea de fitare să nu depășească 1e-6. Pentru aceasta, spirala a fost tăiată în punctele cu următoarele unghiuri: 0°, 1°, 5°, 15° și apoi la fiecare 15° pînă la 10*360°. Fișierul SVG păstrează precizia de 1e-6.
708: 678: 336:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. 230: 623: 553: 517: 890:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
343: 792: 607: 501: 473: 460: 445: 573: 537: 418: 401: 69: 65: 61: 57: 53: 47: 807: 452: 787: 305: 106: 893:
If the file has been modified from its original state, some details may not fully reflect the modified file.
707: 702: 78: 762: 735:
The following pages on the English Knowledge (XXG) use this file (pages on other projects are not listed):
342:– If you remix, transform, or build upon the material, you must distribute your contributions under the 302: 202: 114: 198: 744: 480: 847: 250: 718: 688: 101: 837: 277:
I, the copyright holder of this work, hereby publish it under the following license:
739: 677: 672: 42: 842: 188: 168: 797: 225: 793:
Kurs:Differentialgeometrie (Osnabrück 2023)/Arbeitsblatt 3/kontrolle
645:
Click on a date/time to view the file as it appeared at that time.
239: 867: 857: 777: 89: 218: 788:
Kurs:Differentialgeometrie (Osnabrück 2023)/Arbeitsblatt 3
827: 245:
This trigonometry was created with an unknown SVG tool.
83:(SVG file, nominally 800 × 800 pixels, file size: 36 KB) 385:
Add a one-line explanation of what this file represents
772: 817: 877: 554:
Creative Commons Attribution-ShareAlike 3.0 Unported
133: 113:
Commons is a freely licensed media file repository.
353:https://creativecommons.org/licenses/by-sa/3.0 94: 359:Creative Commons Attribution-Share Alike 3.0 283: 8: 481:https://commons.wikimedia.org/user:AdiJapan 319:– to copy, distribute and transmit the work 46:Size of this PNG preview of this SVG file: 895: 647: 381: 755:The following other wikis use this file: 905: 897: 737: 621: 605: 587: 571: 551: 535: 515: 499: 432: 416: 399: 396: 377: 370: 7: 306:Attribution-Share Alike 3.0 Unported 725:User created page with UploadWizard 636: 294: 289: 888: 390: 384: 280: 276: 255: 244: 223: 152: 143: 126: 76: 389: 375: 330:Under the following conditions: 301:This file is licensed under the 293: 288: 282: 249: 238: 217: 144: 93: 31: 21: 372: 153: 14: 371: 26: 1: 624:original creation by uploader 36: 784:Usage on de.wikiversity.org 397:Items portrayed in this file 927: 874:Usage on www.wikidata.org 864:Usage on tr.wikipedia.org 854:Usage on lv.wikipedia.org 834:Usage on ko.wikipedia.org 824:Usage on es.wikipedia.org 814:Usage on eo.wikipedia.org 804:Usage on el.wikipedia.org 798:Klothoide/Krümmung/Aufgabe 769:Usage on de.wikipedia.org 759:Usage on ar.wikipedia.org 344:same or compatible license 695:corrected label positions 637: 178: 16: 374: 310: 256:This trigonometry uses 100:This is a file from the 724: 694: 194: 184: 174: 167: 164: 136: 104:. Information from its 703:13:21, 19 October 2012 673:13:37, 19 October 2012 107:description page there 209:SVG development 70:2,048 × 2,048 pixels 66:1,024 × 1,024 pixels 778:Fermatsches Prinzip 325:– to adapt the work 52:Other resolutions: 461:author name string 446:Wikimedia username 203:Clothoid curve.svg 914: 913: 751:Global file usage 745:Gallery of curves 728: 538:copyright license 383: 267: 266: 122: 121: 102:Wikimedia Commons 32:Global file usage 918: 896: 868:Eğriler galerisi 715: 685: 502:copyright status 483: 478: 468: 465: 455: 450: 366: 363: 360: 357: 354: 346:as the original. 303:Creative Commons 297: 296: 292: 291: 286: 285: 259: 253: 242: 233: 221: 199:Cornu Spiral.svg 180: 170: 157: 148: 140: 139:Euler spiral.svg 134: 118: 97: 96: 90: 84: 73: 62:768 × 768 pixels 58:480 × 480 pixels 54:240 × 240 pixels 48:600 × 600 pixels 926: 925: 921: 920: 919: 917: 916: 915: 884: 858:Dzelzceļa trase 749: 736: 729: 721: 713: 691: 683: 639: 638: 635: 634: 633: 632: 631: 630: 629: 628: 626: 614: 613: 612: 610: 599: 598: 597: 596: 595: 594: 593: 592: 590: 589:19 October 2012 580: 579: 578: 576: 565: 564: 563: 562: 561: 560: 559: 558: 556: 544: 543: 542: 540: 529: 528: 527: 526: 525: 524: 523: 522: 520: 508: 507: 506: 504: 493: 492: 491: 490: 489: 488: 487: 486: 485: 484: 479: 476: 470: 469: 466: 463: 457: 456: 451: 448: 439: 438: 437: 435: 425: 424: 423: 421: 410: 409: 408: 407: 406: 404: 388: 387: 386: 369: 368: 367: 364: 361: 358: 355: 352: 351: 309: 298: 279: 278: 273: 268: 263: 262: 261: 257: 247: 246: 236: 235: 229: 212: 169:19 October 2012 160: 151: 138: 131: 124: 123: 112: 111: 110:is shown below. 86: 82: 75: 74: 51: 12: 11: 5: 924: 922: 912: 911: 908: 904: 903: 900: 887: 883: 882: 881: 880: 872: 871: 870: 862: 861: 860: 852: 851: 850: 845: 840: 832: 831: 830: 822: 821: 820: 812: 811: 810: 802: 801: 800: 795: 790: 782: 781: 780: 775: 767: 766: 765: 753: 752: 748: 747: 742: 734: 733: 732: 727: 726: 723: 719: 716: 710: 705: 700: 697: 696: 693: 689: 686: 680: 675: 670: 666: 665: 662: 659: 656: 653: 650: 643: 642: 627: 622: 620: 619: 618: 617: 616: 615: 611: 608:source of file 606: 604: 603: 602: 601: 600: 591: 588: 586: 585: 584: 583: 582: 581: 577: 572: 570: 569: 568: 567: 566: 557: 552: 550: 549: 548: 547: 546: 545: 541: 536: 534: 533: 532: 531: 530: 521: 516: 514: 513: 512: 511: 510: 509: 505: 500: 498: 497: 496: 495: 494: 472: 471: 459: 458: 444: 443: 442: 441: 440: 436: 433: 431: 430: 429: 428: 427: 426: 422: 417: 415: 414: 413: 412: 411: 405: 400: 398: 395: 394: 393: 392: 391: 380: 379: 376: 373: 350: 349: 348: 347: 337: 328: 327: 326: 320: 313:You are free: 300: 299: 281: 275: 274: 272: 269: 265: 264: 248: 237: 216: 215: 213: 210: 206: 205: 196: 195:Other versions 192: 191: 186: 182: 181: 176: 172: 171: 166: 162: 161: 141: 132: 130: 127: 125: 120: 119: 98: 88: 87: 45: 41: 40: 39: 34: 29: 24: 19: 13: 10: 9: 6: 4: 3: 2: 923: 909: 906: 901: 898: 894: 891: 885: 879: 876: 875: 873: 869: 866: 865: 863: 859: 856: 855: 853: 849: 846: 844: 841: 839: 836: 835: 833: 829: 826: 825: 823: 819: 816: 815: 813: 809: 806: 805: 803: 799: 796: 794: 791: 789: 786: 785: 783: 779: 776: 774: 771: 770: 768: 764: 761: 760: 758: 757: 756: 750: 746: 743: 741: 738: 730: 722: 717: 711: 709: 706: 704: 701: 699: 698: 692: 687: 681: 679: 676: 674: 671: 668: 667: 663: 660: 657: 654: 651: 649: 648: 646: 640: 625: 609: 575: 555: 539: 519: 503: 482: 475: 462: 454: 447: 420: 403: 356:CC BY-SA 3.0 345: 341: 338: 335: 332: 331: 329: 324: 321: 318: 315: 314: 312: 311: 307: 304: 287: 270: 252: 241: 232: 227: 220: 214: 208: 207: 204: 201: 200: 197: 193: 190: 187: 183: 177: 173: 163: 156: 147: 142: 135: 128: 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: 892: 889: 828:Anexo:Curvas 808:Σπείρα Όιλερ 754: 740:Euler spiral 644: 641:File history 339: 333: 322: 316: 260:text/digits. 154: 145: 115:You can help 105: 77: 22:File history 763:حلزون أويلر 518:copyrighted 340:share alike 334:attribution 137:Description 731:File usage 712:800 × 800 682:800 × 800 658:Dimensions 434:some value 27:File usage 773:Klothoide 655:Thumbnail 652:Date/Time 574:inception 271:Licensing 211:InfoField 155:English: 886:Metadata 818:Klotoido 720:AdiJapan 690:AdiJapan 467:AdiJapan 453:AdiJapan 378:Captions 323:to remix 317:to share 308:license. 258:embedded 228:code is 189:AdiJapan 179:Own work 146:Română: 37:Metadata 878:Q755003 838:선형 (노선) 714:(36 KB) 684:(36 KB) 669:current 664:Comment 419:creator 402:depicts 382:English 129:Summary 81:‎ 907:Height 254:  243:  222:  185:Author 175:Source 910:800px 902:800px 899:Width 848:클로소이드 231:valid 843:완화곡선 661:User 365:true 362:true 224:The 165:Date 17:File 474:URL 226:SVG 477:: 464:: 449:: 68:| 64:| 60:| 56:| 50:. 234:. 117:. 72:.

Index

File
File history
File usage
Global file usage
Metadata
File:Euler spiral.svg
600 × 600 pixels
240 × 240 pixels
480 × 480 pixels
768 × 768 pixels
1,024 × 1,024 pixels
2,048 × 2,048 pixels
Original file
Wikimedia Commons
description page there
You can help
AdiJapan
Cornu Spiral.svg
Clothoid curve.svg

SVG
valid


Creative Commons
Attribution-Share Alike 3.0 Unported
same or compatible license
depicts
creator
Wikimedia username

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.