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Hamilton's solution recovers the cycloid in a way that is reminiscent of how Newton's mathematical principles imply Kepler's laws. <\/jats:p>","DOI":"10.1142\/s0218127414400094","type":"journal-article","created":{"date-parts":[[2014,8,29]],"date-time":"2014-08-29T04:35:53Z","timestamp":1409286953000},"page":"1440009","source":"Crossref","is-referenced-by-count":9,"title":["Bernoulli's Light Ray Solution of the Brachistochrone Problem Through Hamilton's Eyes"],"prefix":"10.1142","volume":"24","author":[{"given":"Henk W.","family":"Broer","sequence":"first","affiliation":[{"name":"Johann Bernoulli Institute, University of Groningen, Nijenborgh 9, 9747 AG, Groningen, The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,8,29]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2063-1"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3330-2"},{"key":"rf4","volume-title":"Johannis Bernoulli","author":"Bernoulli J.","year":"1742"},{"key":"rf5","series-title":"Klassieke wiskunde \u2014 Onderwerpen uit de analyse","volume-title":"Handboek der Wiskunde 2","author":"Bottema O.","year":"1970"},{"key":"rf6","first-page":"110","volume":"70","author":"Broer H. 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