257:
draw(d) color(blue) draw(t) draw(segment(A, Q)) draw(segment(A, B)) mark(segment(A, B), simple) mark(segment(A, Q), double) mark(B, A, Q, simple, 1.2) color(red) draw(u) draw(segment(A, R)) draw(segment(A, C)) mark(segment(A, R), simple) mark(segment(A, C), double) mark(R, A, C, simple, 0.8) color(black) draw(s) draw(segment(B, R)) draw(segment(C, Q)) draw(C, B, P) draw(e, dashed) draw(F, dot, 1.3) mark(segment(B, R), simple) mark(segment(C, Q), double) mark(segment(B, C), triple) mark(segment(B, P), triple) mark(segment(C, P), triple) mark(C, R, A, double, 1.5) mark(Q, B, A, double, 1.5) mark(A, Q, B, triple, 1.5) mark(A, C, R, triple, 1.5) mark(B, F, P, dot, 0.8) mark(B, C, P, dot, 0.8) label(F, 0.5, 0:) label(A, 0.5, 90:) label(B, 0.5, 225:) label(C, 0.5, 330:) label(P, 0.3, 270:) label(Q, 0.3, 0:) label(R, 0.3, 90:)
807:"}},"text\/plain":{"en":{"":"inception"}}},"{\"value\":{\"time\":\"+2006-03-11T00:00:00Z\",\"timezone\":0,\"before\":0,\"after\":0,\"precision\":11,\"calendarmodel\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q1985727\"},\"type\":\"time\"}":{"text\/html":{"en":{"P571":"11 March 2006"}},"text\/plain":{"en":{"P571":"11 March 2006"}}}}": -->
490:
382:
38:
335:
496:
388:
501:
90:
691:"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 3.0 Unported"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":19113751,\"id\":\"Q19113751\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":"
683:"}},"text\/plain":{"en":{"P275":"GNU Free Documentation License, version 1.2 or later"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":47001652,\"id\":\"Q47001652\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":"
695:"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 2.5 Generic"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":19068220,\"id\":\"Q19068220\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":"
687:"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 1.0 Generic"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":14946043,\"id\":\"Q14946043\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":"
393:
679:"}},"text\/plain":{"en":{"":"copyright license"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50829104,\"id\":\"Q50829104\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":"
635:"}},"text\/plain":{"en":{"":"copyright status"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50423863,\"id\":\"Q50423863\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P6216":"
631:
900:
Proving the construction of Fermat Point is valid: We have to prove the three lines constructed are concurrent. The red and blue triangle are congruent by S.A.S. , and hence the angles in the same segment are the same, which shows that there are two
551:– 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.
441:– 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.
696:
692:
688:
684:
680:
636:
893:
233:
632:
804:
676:
289:\documentclass{article} \usepackage{pstricks} \usepackage{color} \begin{document} \pagestyle{empty} \colorbox{white}{ %Paste the code here } \end{document}
352:
699:"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 2.0 Generic"}}}}": -->
350:; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled
790:
773:
756:
739:
722:
662:
64:
60:
56:
52:
48:
42:
558:
448:
101:
646:
943:
342:
73:
814:
706:
621:
520:
516:
512:
402:
347:
557:– If you remix, transform, or build upon the material, you must distribute your contributions under the
447:– If you remix, transform, or build upon the material, you must distribute your contributions under the
639:"}},"text\/plain":{"en":{"P6216":"copyrighted"}}}}": -->
911:
The following pages on the
English Knowledge use this file (pages on other projects are not listed):
282:
933:
248:
The source is licensed under the same license as the image. Feel free to edit, fix, or improve it!
109:
462:
340:
Permission is granted to copy, distribute and/or modify this document under the terms of the
508:
399:
8:
882:
877:
37:
206:
are also concyclic, and by angle in the same segment the last line is a straight line.
326:
I, the copyright holder of this work, hereby publish it under the following licenses:
96:
611:
224:
No machine-readable source provided. Own work assumed (based on copyright claims).
301:
also and configure the path to ghostscript correctly in
Scribus's Preferences)
298:
915:
122:
824:
784:
767:
750:
733:
716:
656:
312:
271:
123:
329:
294:
850:
Click on a date/time to view the file as it appeared at that time.
208:
N.B. all information are included in the metadata of this svg file.
461:
This licensing tag was added to this file as part of the GFDL
305:
278:
267:
953:
84:
78:(SVG file, nominally 350 × 400 pixels, file size: 29 KB)
605:
Add a one-line explanation of what this file represents
909:
924:
848:
757:
Creative
Commons Attribution-ShareAlike 3.0 Unported
723:
689:
Creative
Commons Attribution-ShareAlike 3.0 Unported
681:
346:, Version 1.2 or any later version published by the
108:
Commons is a freely licensed media file repository.
791:
Creative
Commons Attribution-ShareAlike 2.0 Generic
774:
Creative
Commons Attribution-ShareAlike 2.5 Generic
740:
Creative
Commons Attribution-ShareAlike 1.0 Generic
697:
Creative
Commons Attribution-ShareAlike 2.0 Generic
693:
Creative Commons Attribution-ShareAlike 2.5 Generic
685:
Creative Commons Attribution-ShareAlike 1.0 Generic
568:https://creativecommons.org/licenses/by-sa/2.5
468:http://creativecommons.org/licenses/by-sa/3.0/
89:
574:Creative Commons Attribution-Share Alike 2.5
489:
381:
212:
197:
474:Creative Commons Attribution-Share Alike 3.0
228:
220:
14:
534:– to copy, distribute and transmit the work
424:– to copy, distribute and transmit the work
155:
41:Size of this PNG preview of this SVG file:
586:You may select the license of your choice.
277:Paste the resulting code in the following
926:The following other wikis use this file:
251:
129:
232:No machine-readable author provided.
120:
403:Attribution-Share Alike 3.0 Unported
376:
358:http://www.gnu.org/copyleft/fdl.html
236:assumed (based on copyright claims).
216:11 March 2006 (original upload date)
841:
500:
495:
392:
387:
13:
610:
604:
585:
486:
325:
124:
121:
71:
967:
609:
125:
910:
595:
545:Under the following conditions:
507:This file is licensed under the
499:
494:
488:
435:Under the following conditions:
398:This file is licensed under the
391:
386:
380:
334:
333:
165:
88:
31:
21:
592:
921:
845:
591:
364:GNU Free Documentation License
353:GNU Free Documentation License
343:GNU Free Documentation License
260:
177:
26:
1:
906:
617:Items portrayed in this file
319:
135:
7:
145:
10:
972:
950:Usage on pl.wikipedia.org
940:Usage on mk.wikipedia.org
930:Usage on ja.wikipedia.org
559:same or compatible license
449:same or compatible license
293:Import the eps file using
194:
189:
842:
407:
379:
281:file and compile it into
243:
16:
594:
525:
511:Attribution-Share Alike
348:Free Software Foundation
95:This is a file from the
36:
899:
297:. (Remember to install
215:
99:. Information from its
304:And then export it to
252:fermat_point_proof.euk
200:Fermat Point Proof.svg
160:fermat_point_proof.euk
102:description page there
895:Lemontea~commonswiki
878:01:22, 11 March 2006
270:and compile it into
234:Lemontea~commonswiki
65:1,792 × 2,048 pixels
540:– to adapt the work
430:– to adapt the work
311:Post-process using
47:Other resolutions:
61:896 × 1,024 pixels
922:Global file usage
904:
707:copyright license
677:copyright license
603:
485:
484:
375:
374:
240:
239:
130:
117:
116:
97:Wikimedia Commons
32:Global file usage
963:
890:
852:
647:copyright status
633:copyright status
601:
581:
578:
575:
572:
569:
561:as the original.
509:Creative Commons
503:
502:
498:
497:
492:
491:
481:
478:
475:
472:
469:
466:
463:licensing update
451:as the original.
400:Creative Commons
395:
394:
390:
389:
384:
383:
377:
371:
368:
365:
362:
359:
337:
336:
330:
201:
195:
183:
180:
171:
168:
161:
158:
151:
148:
141:
138:
131:
113:
92:
91:
85:
79:
68:
57:672 × 768 pixels
53:420 × 480 pixels
49:210 × 240 pixels
43:350 × 400 pixels
971:
970:
966:
965:
964:
962:
961:
960:
920:
912:
905:
896:
888:
844:
843:
840:
839:
838:
837:
836:
835:
834:
833:
831:
821:
820:
819:
817:
802:
801:
800:
799:
798:
797:
796:
795:
793:
782:
781:
780:
779:
778:
776:
765:
764:
763:
762:
761:
759:
748:
747:
746:
745:
744:
742:
731:
730:
729:
728:
727:
725:
713:
712:
711:
709:
674:
673:
672:
671:
670:
669:
668:
667:
665:
653:
652:
651:
649:
630:
629:
628:
627:
626:
624:
608:
607:
606:
589:
588:
587:
583:
582:
579:
576:
573:
570:
567:
566:
524:
504:
479:
476:
473:
470:
467:
460:
369:
366:
363:
360:
357:
328:
327:
322:
290:
263:
258:
254:
246:
241:
199:
192:
187:
181:
178:
169:
166:
159:
156:
149:
146:
139:
136:
132:
128:
119:
118:
107:
106:
105:is shown below.
81:
77:
70:
69:
46:
12:
11:
5:
969:
959:
958:
957:
956:
948:
947:
946:
944:Точка на Ферма
938:
937:
936:
923:
919:
918:
908:
903:
902:
898:
894:
891:
885:
880:
875:
871:
870:
867:
864:
861:
858:
855:
847:
832:
829:
827:
826:
825:
823:
822:
818:
813:
811:
810:
809:
808:
806:
794:
789:
787:
786:
785:
783:
777:
772:
770:
769:
768:
766:
760:
755:
753:
752:
751:
749:
743:
738:
736:
735:
734:
732:
726:
721:
719:
718:
717:
715:
714:
710:
705:
703:
702:
701:
700:
698:
694:
690:
686:
682:
678:
666:
661:
659:
658:
657:
655:
654:
650:
645:
643:
642:
641:
640:
638:
634:
625:
620:
618:
615:
614:
613:
612:
600:
599:
596:
593:
584:
565:
564:
563:
562:
552:
543:
542:
541:
535:
528:You are free:
506:
505:
487:
483:
482:
457:
456:
455:
454:
453:
452:
442:
433:
432:
431:
425:
418:You are free:
413:
412:
409:
408:
406:
396:
373:
372:
338:
324:
323:
321:
318:
317:
316:
309:
302:
299:en:ghostscript
288:
287:
286:
275:
262:
259:
255:
253:
250:
245:
242:
238:
237:
230:
226:
225:
222:
218:
217:
214:
210:
209:
202:
193:
191:
188:
186:
185:
175:
174:
173:
163:
143:
127:
115:
114:
93:
83:
82:
40:
35:
34:
29:
24:
19:
9:
6:
4:
3:
2:
968:
955:
954:Punkt Fermata
952:
951:
949:
945:
942:
941:
939:
935:
932:
931:
929:
928:
927:
917:
914:
913:
897:
892:
886:
884:
881:
879:
876:
873:
872:
868:
865:
862:
859:
856:
854:
853:
851:
830:11 March 2006
828:
816:
812:
792:
788:
775:
771:
758:
754:
741:
737:
724:
720:
708:
704:
664:
660:
648:
644:
623:
619:
616:
597:
590:
571:CC BY-SA 2.5
560:
556:
553:
550:
547:
546:
544:
539:
536:
533:
530:
529:
527:
526:
522:
518:
514:
510:
493:
464:
459:
458:
450:
446:
443:
440:
437:
436:
434:
429:
426:
423:
420:
419:
417:
416:
415:
414:
411:
410:
404:
401:
397:
385:
378:
355:
354:
349:
345:
344:
339:
332:
331:
314:
310:
307:
303:
300:
296:
292:
291:
284:
280:
276:
273:
269:
265:
264:
249:
235:
231:
227:
223:
219:
211:
207:
203:
196:
184:
176:
172:
164:
162:
154:
153:
152:
144:
142:
134:
133:
111:
104:
103:
98:
94:
87:
86:
80:
75:
74:Original file
66:
62:
58:
54:
50:
44:
39:
33:
30:
28:
25:
23:
20:
18:
15:
925:
916:Fermat point
849:
846:File history
554:
548:
537:
531:
471:CC BY-SA 3.0
444:
438:
427:
421:
351:
341:
247:
204:
110:You can help
100:
72:
22:File history
663:copyrighted
637:copyrighted
555:share alike
549:attribution
521:1.0 Generic
517:2.0 Generic
513:2.5 Generic
445:share alike
439:attribution
313:en:Inkscape
272:en:PSTricks
261:Instruction
198:Description
170:Instruction
907:File usage
887:350 × 400
863:Dimensions
295:en:Scribus
27:File usage
860:Thumbnail
857:Date/Time
815:inception
805:inception
405:license.
320:Licensing
268:eukleides
182:Licensing
598:Captions
538:to remix
532:to share
523:license.
428:to remix
422:to share
126:Contents
889:(29 KB)
874:current
869:Comment
622:depicts
602:English
190:Summary
140:Summary
76:
934:フェルマー点
306:en:svg
279:en:TeX
244:Source
229:Author
221:Source
150:Source
901:cycl
866:User
580:true
577:true
519:and
480:true
477:true
370:true
367:true
361:GFDL
266:Run
213:Date
17:File
283:eps
167:2.2
157:2.1
515:,
63:|
59:|
55:|
51:|
45:.
465:.
356:.
315:.
308:.
285:.
274:.
179:3
147:2
137:1
112:.
67:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.