Article ID: CBB815556753

Mètodes Analítics en el S. XVII: l’Hospital i el Problema d’Alhazen (Analytical Methods in the 17th Century: L’Hospital and Alhazen’s Problem) (2020)

unapi

In 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.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB815556753/

Similar Citations

Book Dalitz, Richard H.; Nauenberg, Michael; (2000)
The Foundations of Newtonian Scholarship (/isis/citation/CBB000110610/)

Article Nader El-Bizri; (2021)
Alhazen’s Theory of Vision (/isis/citation/CBB008769291/)

Article Valeria Sorge; (2021)
Biagio Pelacani da Parma e la perspectiva (/isis/citation/CBB966528297/)

Article Maria Rosa Massa Esteve; Sabine Rommevaux; Roca Rosell, Antoni Maria Claret; (2010)
El libro de Álgebra en Arithmética y Geometria (1567) de Pedro Nuñez (/isis/citation/CBB058406323/)

Article Henrique de Sousa Leitão; (2010)
Pedro Nunes e o Libro de Algebra; Pedro Nunes and the Librao de Algebra (/isis/citation/CBB323782615/)

Article Fàtima Romero-Vallhonesta; M. Rosa Massa-Esteve; (2018)
The Main Sources for the Arte Mayor in Sixteenth Century Spain (/isis/citation/CBB497329553/)

Article Vallhonesta, Fàtima Romero; (2011)
The “Rule of Quantity” in Spanish Algebras of the 16th Century. Possible Sources (/isis/citation/CBB001212082/)

Article Álvarez Polo, Yolima; Español González, Luis; (2012)
Algoritmos algebraicos lineales en el primer libro de texto (1917) de Julio Rey Pastor (/isis/citation/CBB001260003/)

Book Vega, Jesusa; (2010)
Ciencia, Arte e Ilusión en la España Ilustrada (/isis/citation/CBB001201788/)

Article Mülberger, Annette; Balltondre, Mònica; (2013)
En el umbral de lo desconocido: un caso de visión extraordinaria en la España de Primo de Rivera (/isis/citation/CBB001320250/)

Book Enrique Garcia Santo-Tomas; (2017)
The Refracted Muse: Literature and Optics in Early Modern Spain (/isis/citation/CBB563679262/)

Article Francisco Gómez-García; Pedro J. Herrero-Piñeyro; Antonio Linero-Bas; Ma. Rosa Massa-Esteve; Antonio Mellado-Romero; (2021)
The six books of Diophantus’ Arithmetic increased and reduced to specious: the lost manuscript of Jacques Ozanam (1640–1718) (/isis/citation/CBB347141746/)

Book Knobloch, Eberhard; (1977)
Die mathematischen Studien von G. W. Leibniz zur Kombinatorik (/isis/citation/CBB000024649/)

Article Lenzen, Wolfgang; (1984)
Leibniz und die Boolesche Algebra (/isis/citation/CBB000066381/)

Article Knobloch, Eberhard; (2006)
Beyond Cartesian Limits: Leibniz's Passage from Algebraic to “Transcendental” Mathematics (/isis/citation/CBB000670257/)

Authors & Contributors
Romero Vallhonesta, Fàtima
Massa i Esteve, Maria Rosa
Knobloch, Eberhard
Sangüesa, Itziar Molina
M. Rosa Massa-Esteve
Nader El-Bizri
Concepts
Algebra
Mathematics
Optics
Natural philosophy
Physics
Vision
Time Periods
17th century
16th century
Medieval
Renaissance
20th century, early
18th century
Places
Spain
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment