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dc.contributor.authorPeña Queralt, Laura
dc.contributor.authorBlanco Abellán, Mónica
dc.contributor.authorMassa Esteve, Maria Rosa
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-03-29T10:17:28Z
dc.date.available2021-03-29T10:17:28Z
dc.date.issued2020
dc.identifier.citationPeña, L.; Blanco, M.; Massa, M. Mètodes analítics en el s.XVII: l'Hospital i el problema d'Alhazen. "Quaderns d'història de l'enginyeria", 2020, vol. XVIII, p. 13-47.
dc.identifier.issn1135-934X
dc.identifier.urihttp://hdl.handle.net/2117/342686
dc.description.abstractIn his book on optics Alhazen (965-1040) considered the following problem: to determine the point of reflection on a spherical mirror. Alhazen’s solution was a rather cumbersome geometrical construction. The so-called “Alhazen’s problem” was studied in the 17th century, in which analytical methods and calculus emerged. The use of these new mathematical tools resulted in more ingenious solutions of Alhazen’s problem. The aim of this paper is to analyse and compare the solutions given by some authors, namely, Isaac Barrow (1630-1677), Christiaan Huygens (1629-1695), René de Sluse (1622-1685) and, more especially, Guillaume F. A. Marquis de L’Hospital (1661-1704). The study of Alhazen’s problem in the 17th century contributes evidences of the algebraisation of mathematics.
dc.format.extent35 p.
dc.language.isocat
dc.publisherPublicacions UPC
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Càlcul de variacions
dc.subject.lcshDifferential calculus
dc.subject.lcshMathematics--History
dc.subject.otherAlhazen
dc.subject.otheròptica
dc.subject.otherL'Hospital
dc.subject.othersegle XVII
dc.titleMètodes analítics en el s.XVII: l’Hospital i el problema d’Alhazen
dc.title.alternativeAnalytical methods in the 17th century: l’Hospital and Alhazen’s problem
dc.title.alternativeMétodos analíticos en el siglo XVII: el Hospital y el problema de Alhazen
dc.typeArticle
dc.subject.lemacCàlcul diferencial
dc.subject.lemacMatematica -- Història
dc.contributor.groupUniversitat Politècnica de Catalunya. GRHCT - Grup de Recerca d'Història de la Ciència i de la Tècnica
dc.relation.publisherversionhttp://hdl.handle.net/2117/336663
dc.rights.accessOpen Access
local.identifier.drac30475345
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/HAR2016-75871-R
local.citation.authorPeña, L.; Blanco, M.; Massa, M.
local.citation.publicationNameQuaderns d'història de l'enginyeria
local.citation.volumeXVIII
local.citation.startingPage13
local.citation.endingPage47


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