720:
31:
530:
710:
447:"ROBERVALLIAN Lines, a name given to certain lines used for the transformation of figures; thus called from their inventor Roberval, an eminent French mathematician, who died in 1675, aged seventy-six. The abbe Gallois, in the Memoirs of the Royal Academy, 1693, observes that the method of transforming figures, explained at the latter end of Roberval's
236:. A condition of tenure attached to this particular chair was that the holder (Roberval, in this case) would propose mathematical questions for solution, and should resign in favour of any person who solved them better than himself. Notwithstanding this, Roberval was able to keep the chair until his death.
279:
as described by a moving point whose motion is the resultant of several simpler motions. He also discovered a method of deriving one curve from another, by means of which finite areas can be obtained equal to the areas between certain curves and their
259:
of solids, which he accomplished, in some of the simpler cases, by an original method which he called the "Method of
Indivisibles"; but he lost much of the credit of the discovery as he kept his method for his own use, while
459:; and that, by a letter of Torricelli, it appears that Roberval was the inventor of this manner of transforming figures, by means of certain lines, which Torricelli therefore called Robervallian lines." —
295:
there existed a feeling of ill-will, owing to the jealousy aroused in the mind of the former by the criticism that
Descartes offered to some of the methods employed by him and by
545:
162:
846:
225:
130:
617:
Carroll, Maureen T.; Dougherty, Steven T.; Perkins, David (2013). "Indivisibles, Infinitesimals and a Tale of
Seventeenth-Century Mathematics".
35:
Portrait of Gilles
Personne de Roberval (1602-1675) at the inauguration of the French Academy of Sciences, 1666, where he was a founding member.
714:
841:
302:
As results of
Roberval’s labours outside of pure mathematics may be noted a work on the system of the universe, in which he supports the
550:
337:
740:
299:; and this led him to criticize and oppose the analytical methods that Descartes introduced into geometry about this time.
836:
243:, occupied their attention with problems which are only soluble, or can be most easily solved, by some method involving
303:
755:
306:
and attributes a mutual attraction to all particles of matter and also the invention of a special kind of
831:
745:
265:
252:
735:
233:
138:
326:
Traité de Mécanique des Poids
Soutenus par des Puissances sur des Plans Inclinés à l’Horizontale
285:
240:
261:
826:
821:
600:
8:
760:
731:
244:
229:
134:
798:
634:
430:
376:
307:
413:
Wolfson, Paul R (2001). "The
Crooked Made Straight: Roberval and Newton on Tangents".
667:
Jullien, Vincent (1993). "Les Étendues Géométriques et la Ligne Droite de
Roberval".
638:
380:
581:
560:
292:
213:
148:
790:
724:
676:
655:
626:
576:
482:
422:
368:
312:
296:
99:
232:. Two years after that, in 1633, he was also made the chair of mathematics at the
359:
Walker, Helen M (1936). "An
Unpublished Hydraulic Experiment of Roberval, 1668".
239:
Roberval was one of those mathematicians who, just before the invention of the
189:
152:
54:
630:
30:
815:
774:
751:
596:
554:. Vol. 23 (11th ed.). Cambridge University Press. pp. 407–408.
541:
536:
248:
185:
120:
166:
680:
659:
486:
694:
Hara, K. (1981). "Roberval, Gilles
Personne". In: Gillispie, C. C. (Ed).
646:
Itard, Jean (1975). "La Lettre de Torricelli Ă Roberval d'Octobre 1643".
473:
Jullien, Vincent (1998). "Descartes-Roberval, une Relation Tumultueuse".
217:
451:, was the same with that afterwards published by James Gregory, in his
434:
284:. To these curves, which were also applied to effect some quadratures,
271:
Another of Roberval’s discoveries was a very general method of drawing
802:
463:, Thomas Curtis (ed.), Vol. XVIII. London: Thomas Tegg, 1839, p. 627.
281:
563:
A Study of the Traité des Indivisibles of Gilles Persone de Roberval
426:
794:
372:
256:
193:
103:
58:
535:
This article incorporates text from a publication now in the
272:
709:
501:
Descartes: The Life of Rene Decartes and Its Place in His Times
182:
89:
698:. New York: Charles Scribner’s Sons, Vol. 11, p. 486–491.
276:
221:
77:
251:, which would today be solved by calculus. He worked on the
506:
396:
394:
392:
390:
616:
224:, and in 1631 he was appointed the philosophy chair at
387:
729:
813:
773:
558:
332:Le Système du Monde d’après Aristarque de Samos
779:Un Savant méconnu, Gilles Personne de Roberval
591:Un Savant MĂ©connu, Gilles Personne de Roberval
593:. Paris: Librairie Scientifique A. Blanchard.
689:Eléments de Géométrie de G. P. de Roberval
29:
847:Members of the French Academy of Sciences
580:
540:
512:
400:
204:, with Roberval the place of his birth.
741:MacTutor History of Mathematics Archive
666:
503:. New York: Simon and Schuster, p. 203.
472:
412:
814:
358:
181:(August 10, 1602 – October 27, 1675),
645:
220:in 1627. In the same year he went to
721:Works by or about Gilles de Roberval
288:gave the name "Robervallian lines."
13:
842:17th-century French mathematicians
696:Dictionary of Scientific Biography
610:
196:, France. His name was originally
14:
858:
702:
415:The American Mathematical Monthly
339:Divers Ouvrages de M. de Roberval
268:which he independently invented.
216:, he was present at the siege of
708:
528:
16:French mathematician (1602–1675)
582:10.1090/S0002-9904-1933-05710-5
767:
493:
466:
441:
406:
352:
304:Copernican heliocentric system
1:
756:Mathematics Genealogy Project
669:Revue d'Histoire des Sciences
648:Revue d'Histoire des Sciences
475:Revue d'Histoire des Sciences
346:
546:Roberval, Gilles Personne de
455:, and also by Barrow in his
207:
7:
761:Roberval in Galileo Project
715:Gilles Personne de Roberval
179:Gilles Personne de Roberval
104:Coining the term 'trochoid'
10:
863:
837:17th-century French people
521:
687:Jullien, Vincent (1996).
631:10.4169/math.mag.86.4.239
172:
158:
144:
126:
116:
109:
95:
85:
66:
40:
28:
21:
746:University of St Andrews
559:Mitchell, U. G. (1933).
461:The London Encyclopaedia
449:Treatise of Indivisibles
319:
551:Encyclopædia Britannica
499:Grayling, A.C. (2006).
234:Royal College of France
139:Royal College of France
777:(June 1963). "Review:
601:"Roberval Philosophe,"
286:Evangelista Torricelli
241:infinitesimal calculus
681:10.3406/rhs.1993.4645
660:10.3406/rhs.1975.1131
569:Bull. Amer. Math. Soc
487:10.3406/rhs.1998.1330
453:Geometria Universalis
291:Between Roberval and
262:Bonaventura Cavalieri
736:"Gilles de Roberval"
732:Robertson, Edmund F.
717:at Wikimedia Commons
619:Mathematics Magazine
589:Auger, LĂ©on (1962).
457:Lectiones Geometricæ
255:of surfaces and the
730:O'Connor, John J.;
606:, pp. 129–149.
604:Journal des Savants
565:, by Evelyn Walker"
515:, pp. 407–408.
275:, by considering a
781:. by LĂ©on Auger".
752:Gilles de Roberval
163:François du Verdus
23:Gilles de Roberval
713:Media related to
176:
175:
145:Academic advisors
111:Scientific career
854:
832:People from Oise
807:
806:
775:Whiteside, D. T.
771:
748:
725:Internet Archive
712:
684:
663:
642:
586:
584:
555:
534:
532:
531:
516:
510:
504:
497:
491:
490:
481:(2/3): 363–371.
470:
464:
445:
439:
438:
410:
404:
398:
385:
384:
356:
313:Roberval Balance
297:Pierre de Fermat
266:a similar method
202:Gilles Personier
159:Notable students
100:Roberval Balance
73:
70:October 27, 1675
50:
48:
33:
19:
18:
862:
861:
857:
856:
855:
853:
852:
851:
812:
811:
810:
772:
768:
705:
613:
611:Further reading
544:, ed. (1911). "
529:
527:
524:
519:
511:
507:
498:
494:
471:
467:
446:
442:
427:10.2307/2695381
411:
407:
399:
388:
357:
353:
349:
322:
226:Gervais College
210:
198:Gilles Personne
165:
151:
137:
131:Gervais College
102:
81:
75:
71:
62:
52:
51:August 10, 1602
46:
44:
36:
24:
17:
12:
11:
5:
860:
850:
849:
844:
839:
834:
829:
824:
809:
808:
795:10.1086/349729
789:(2): 303–305.
765:
764:
763:
758:
749:
727:
718:
704:
703:External links
701:
700:
699:
692:
691:. Paris: Vrin.
685:
675:(4): 493–526.
664:
654:(2): 113–124.
643:
625:(4): 239–254.
612:
609:
608:
607:
597:Cousin, Victor
594:
587:
575:(9): 658–659.
556:
542:Chisholm, Hugh
523:
520:
518:
517:
505:
492:
465:
440:
421:(3): 206–216.
405:
403:, p. 407.
386:
373:10.1086/368451
350:
348:
345:
344:
343:
335:
329:
321:
318:
293:René Descartes
249:infinitesimals
214:René Descartes
209:
206:
188:, was born at
174:
173:
170:
169:
160:
156:
155:
153:Marin Mersenne
149:Étienne Pascal
146:
142:
141:
128:
124:
123:
118:
114:
113:
107:
106:
97:
96:Known for
93:
92:
87:
83:
82:
76:
74:(aged 73)
68:
64:
63:
53:
42:
38:
37:
34:
26:
25:
22:
15:
9:
6:
4:
3:
2:
859:
848:
845:
843:
840:
838:
835:
833:
830:
828:
825:
823:
820:
819:
817:
804:
800:
796:
792:
788:
784:
780:
776:
770:
766:
762:
759:
757:
753:
750:
747:
743:
742:
737:
733:
728:
726:
722:
719:
716:
711:
707:
706:
697:
693:
690:
686:
682:
678:
674:
670:
665:
661:
657:
653:
649:
644:
640:
636:
632:
628:
624:
620:
615:
614:
605:
602:
598:
595:
592:
588:
583:
578:
574:
570:
566:
564:
557:
553:
552:
547:
543:
538:
537:public domain
526:
525:
514:
513:Chisholm 1911
509:
502:
496:
488:
484:
480:
476:
469:
462:
458:
454:
450:
444:
436:
432:
428:
424:
420:
416:
409:
402:
401:Chisholm 1911
397:
395:
393:
391:
382:
378:
374:
370:
366:
362:
355:
351:
341:
340:
336:
333:
330:
327:
324:
323:
317:
315:
314:
309:
305:
300:
298:
294:
289:
287:
283:
278:
274:
269:
267:
263:
258:
254:
250:
246:
242:
237:
235:
231:
227:
223:
219:
215:
205:
203:
199:
195:
191:
187:
186:mathematician
184:
180:
171:
168:
164:
161:
157:
154:
150:
147:
143:
140:
136:
132:
129:
125:
122:
121:Mathematician
119:
115:
112:
108:
105:
101:
98:
94:
91:
88:
84:
79:
69:
65:
60:
56:
43:
39:
32:
27:
20:
786:
782:
778:
769:
739:
695:
688:
672:
668:
651:
647:
622:
618:
603:
590:
572:
568:
562:
549:
508:
500:
495:
478:
474:
468:
460:
456:
452:
448:
443:
418:
414:
408:
364:
360:
354:
338:
331:
325:
311:
301:
290:
270:
238:
211:
201:
197:
178:
177:
167:Isaac Barrow
127:Institutions
110:
72:(1675-10-27)
827:1675 deaths
822:1602 births
218:La Rochelle
86:Nationality
816:Categories
347:References
282:asymptotes
264:published
253:quadrature
47:1602-08-10
639:117979730
561:"Review:
381:145477013
208:Biography
599:(1845).
273:tangents
257:cubature
194:Beauvais
190:Roberval
80:, France
61:, France
59:Beauvais
55:Roberval
754:at the
723:at the
539::
522:Sources
435:2695381
367:: 726.
342:(1693).
334:(1644).
328:(1636).
308:balance
803:228566
801:
637:
533:
433:
379:
361:Osiris
310:, the
245:limits
183:French
117:Fields
90:French
799:JSTOR
635:S2CID
431:JSTOR
377:S2CID
320:Works
277:curve
230:Paris
222:Paris
212:Like
192:near
135:Paris
78:Paris
57:near
783:Isis
67:Died
41:Born
791:doi
677:doi
656:doi
627:doi
577:doi
548:".
483:doi
423:doi
419:108
369:doi
247:or
200:or
818::
797:.
787:54
785:.
744:,
738:,
734:,
673:46
671:.
652:28
650:.
633:.
623:86
621:.
573:33
571:.
567:.
479:51
477:.
429:.
417:.
389:^
375:.
363:.
316:.
228:,
133:,
805:.
793::
683:.
679::
662:.
658::
641:.
629::
585:.
579::
489:.
485::
437:.
425::
383:.
371::
365:1
49:)
45:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
