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dc.contributor.author
Carman, Christian Carlos
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dc.date.available
2023-02-06T11:21:35Z
dc.date.issued
2022-02
dc.identifier.citation
Carman, Christian Carlos; François Viète's method for calculating the eccentricity in a bisected model and its possible application to Kepler's Vicarious Hypothesis; Academic Press Inc Elsevier Science; Historia Mathematica; 58; 2-2022; 71-91
dc.identifier.issn
0315-0860
dc.identifier.uri
http://hdl.handle.net/11336/186943
dc.description.abstract
According to Kepler's own words in Astronomia Nova, he invested five years trying to find the values for the eccentricities for his “vicarious” hypothesis. At some point, he asked Herwart von Hohenburg, to ask François Viète's help to solve his problem, but there is no evidence that Viète received this request. At that time, Viète was working on his unpublished Ad harmonicon coeleste. In it, he proposes a new method for bisected models, which can easily be extended to non-bisected models. In this paper, I describe Viète's method, analyze its accuracy, and show how to extend it to non-bisected models, making it suitable for solving Kepler's problem.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BISECTED MODELS
dc.subject
ECCENTRICITY
dc.subject
PLANETARY MODELS
dc.subject
THREE-OBSERVATION PROBLEM
dc.subject
VICARIOUS HYPOTHESIS
dc.subject.classification
Filosofía, Historia y Filosofía de la Ciencia y la Tecnología
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dc.subject.classification
Filosofía, Ética y Religión
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dc.subject.classification
HUMANIDADES
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dc.title
François Viète's method for calculating the eccentricity in a bisected model and its possible application to Kepler's Vicarious Hypothesis
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-02-06T10:20:36Z
dc.journal.volume
58
dc.journal.pagination
71-91
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Carman, Christian Carlos. Universidad Nacional de Quilmes. Departamento de Ciencias Sociales. Instituto de Estudios Sociales de la Ciencia y la Tecnología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Historia Mathematica
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.hm.2021.09.002
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0315086021000665
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