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Cycloid
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== References == {{Reflist | refs= <ref name=Conner> {{citation | last=Conner | first=James A. | title=Pascal's Wager: The Man Who Played Dice with God | pages=[https://archive.org/details/pascalswagermanw00conn/page/224 224] | isbn=9780060766917 | edition=1st | year=2006 | publisher=HarperCollins | url-access=registration | url=https://archive.org/details/pascalswagermanw00conn/page/224 }}</ref> <ref name=Torricelli> {{citation | last=Torricelli | first=Evangelista | title=Opera geometrica | year=1644 | oclc=55541940 }} </ref> <ref name=Phillips> {{citation | title=Brachistochrone, Tautochrone, Cycloid—Apple of Discord | last=Phillips | first=J. P. | journal=The Mathematics Teacher | volume=60 | number=5 |date=May 1967 | pages=506–508 | doi=10.5951/MT.60.5.0506 | jstor=27957609 }}{{subscription required}} </ref> <ref name=Gunther> {{citation | title=Vermischte untersuchungen zur geschichte der mathematischen wissenschaften | last=Günther | first=Siegmund | year=1876 | location=Leipzig | publisher=Druck und Verlag Von B. G. Teubner | oclc=2060559 | pages=352 }} </ref> <ref name=Wallis> {{Cite journal | last1 = Wallis | first1 = D. | title = An Extract of a Letter from Dr. Wallis, of May 4. 1697, Concerning the Cycloeid Known to Cardinal Cusanus, about the Year 1450; and to Carolus Bovillus about the Year 1500 | doi = 10.1098/rstl.1695.0098 | journal = Philosophical Transactions of the Royal Society of London | volume = 19 | issue = 215–235 | pages = 561–566 | year = 1695 | url = https://zenodo.org/record/1432146 | doi-access = free }} (Cited in Günther, p. 5) </ref> <ref name=Cajori> {{citation | last=Cajori | first=Florian | title=A History of Mathematics | url=https://books.google.com/books?id=mGJRjIC9fZgC | edition=5th | isbn=0-8218-2102-4 | page=162 | year=1999 | publisher=American Mathematical Soc. }}(Note: The [https://archive.org/details/ahistorymathema00cajogoog first (1893) edition] and its reprints state that Galileo invented the cycloid. According to Phillips, this was corrected in the second (1919) edition and has remained through the most recent (fifth) edition.) </ref> <ref name=Bovelles> {{citation | title=Introductio in geometriam ... Liber de quadratura circuli. Liber de cubicatione sphere. Perspectiva introductio. | last=de Bouelles | first=Charles | year=1503 | oclc=660960655 }} </ref> <ref name=Victor> {{citation | title=Charles de Bovelles, 1479-1553: An Intellectual Biography | last=Victor | first=Joseph M. | url=https://books.google.com/books?id=bw4lM9wF1lgC | page=42 | year=1978 | publisher=Librairie Droz | isbn=978-2-600-03073-1 }} </ref> <ref name=Martin> {{Cite journal | last1 = Martin | first1 = J. | doi = 10.4169/074683410X475083 | title = The Helen of Geometry | journal = The College Mathematics Journal | volume = 41 | pages = 17–28 | year = 2010 | s2cid = 55099463 }} </ref> <ref name=Cantor> {{citation | title=Vorlesungen über Geschichte der Mathematik, Bd. 2 | last=Cantor | first=Moritz | publisher=B. G. Teubner | location=Leipzig | year=1892 | url=https://archive.org/details/vorlesungenuberg00cant | oclc=25376971 }} </ref> <ref name=Roidt> {{cite thesis | title=Cycloids and Paths | last=Roidt | first=Tom | year=2011 | type=MS | page=4 | url=http://www.web.pdx.edu/~caughman/Cycloids%20and%20Paths.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://www.web.pdx.edu/~caughman/Cycloids%20and%20Paths.pdf |archive-date=2022-10-09 |url-status=live | publisher=Portland State University }} </ref> <ref name=Whitman> {{citation | title=Some historical notes on the cycloid | journal=The American Mathematical Monthly | volume=50 | number=5 | date=May 1943 | pages=309–315 | jstor=2302830 | last=Whitman | first=E. A. | doi=10.2307/2302830 }} {{subscription required}}</ref> <ref name=Tannery> {{citation | last=Tannery | first=Paul | author-link=Paul Tannery | year=1883 | title=Pour l'histoire des lignes et surfaces courbes dans l'antiquité | journal=Bulletin des sciences mathématiques et astronomiques | series=Ser. 2 | volume=7 | department=Mélanges | pages=278–291 | quote-page=284 | url=https://archive.org/details/bulletindesscie21publgoog/page/284/mode/1up | quote=Avant de quitter la citation de Jamblique, j'ajouterai que, dans la courbe de ''double mouvement'' de Carpos, il est difficile de ne pas reconnaître la cycloïde dont la génération si simple n'a pas dû échapper aux anciens. | trans-quote=Before leaving the citation of Iamblichus, I will add that, in the curve of ''double movement'' of [[Carpus of Antioch|Carpus]], it is difficult not to recognize the cycloid, whose so-simple generation couldn't have escaped the ancients. }} (cited in Whitman 1943); </ref> <ref name=Walker> {{citation | last=Walker | first=Evelyn | title=A Study of Roberval's Traité des Indivisibles | publisher=Columbia University | year=1932 }} (cited in Whitman 1943); </ref> <ref name=DartmouthAlumniMagazine> {{citation | title= 101 Reasons to Love Dartmouth | url=https://dartmouthalumnimagazine.com/articles/101-reasons-love-dartmouth | publisher=Dartmouth Alumni Magazine | year=2016 }} </ref> }}
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