2. Geometrical diagrams in traditional chinese mathematics

Volkov, Alexei

doi:10.1163/ej.9789004160637.i-772.66

Cited by 6 publications

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“…999-1000, 967) in the Glossary that I compiled and published in the latter book. Volkov (2007) also took up the issue of tu in Chinese mathematics texts. This publication is the final version of the paper Volkov presented for the 2001 conference on tu mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Changes and Continuities in the Use of Diagrams Tu in Chinese Mathematical Writings (Third Century to Fourteenth Century) [I]

Chemla¹

2010

East Asian Science

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This article aims at highlighting a radical change in the materiality of tu between the time when they were first mentioned in Chinese mathematical texts in the third century commentaries on Canons and the thirteenth century, from which there are abundant illustrations in treatises. Moreover, it intends to highlight that the meaning of the word tu 圖, as used in mathematical writings, greatly changed over the same time span. It argues that third century tu 圖 were material objects, cut in paper with squared-grid, and worked out in specific ways. They probably always displayed particular dimensions and only represented objects for plane geometry. Their areas, and not their points, were marked, and they were marked by characters or colors. Areas were cut into pieces and rearranged. Such is the contribution mathematical texts can offer for capturing the nature of tu for these early periods. In contrast to this, thirteenth century tu 圖 to which mathematical texts refer were East

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Section: Introductionmentioning

confidence: 99%

Changes and Continuities in the Use of Diagrams Tu in Chinese Mathematical Writings (Third Century to Fourteenth Century) [I]

Chemla¹

2010

East Asian Science

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“…Este hecho, entre otros que Chemla (2010) presenta, lo han llevado a la hipótesis de que estos diagramas fueron objetos físicos que los matemáticos manipularon al mismo tiempo que llevaban a cabo los procedimientos. Autores como Volkov (2007) presentan una hipótesis alternativa, y afirman que existieron libros que fueron publicados por separado de los tratados clásicos de matemáticas en los que sólo aparecían los diagramas (pp. 432-434).…”

Section: Práctica Matemática Y Uso De Diagramas En El Zhou Bi Y En unclassified

Un Análisis Comparativo Del Uso De Diagramas en Dos Prácticas Matemáticas De La Antigüedad

García-Pérez

Magro

2019

CRHF

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En nuestro artículo, analizaremos las diferencias y similitudes que pode- mos encontrar en el uso de diagramas entre dos prácticas matemáticas de la antigüedad. Mostraremos que no existe un solo uso posible de éstos, sino que tienen que considerarse como herramientas de razonamiento creadas y manipuladas de acuerdo con los propósitos de cada tradición. Argumentaremos que las diferencias en los procedimientos y organizaciones del conocimiento que ambas tradiciones presentan no implican ningún tipo de valoración acerca de su mayor o menor “matematicidad”, ya que ambas tradiciones llegaron a resultados matemáticos suficientemente generales y precisos, hecho que es característico de investigaciones matemáticas a un nivel teórico.

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Mathematics Education in Oriental Antiquity and Middle Ages

Keller

Volkov

2013

Handbook on the History of Mathematics Education

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2. Geometrical diagrams in traditional chinese mathematics

Cited by 6 publications

References 0 publications

Changes and Continuities in the Use of Diagrams Tu in Chinese Mathematical Writings (Third Century to Fourteenth Century) [I]

Changes and Continuities in the Use of Diagrams Tu in Chinese Mathematical Writings (Third Century to Fourteenth Century) [I]

Un Análisis Comparativo Del Uso De Diagramas en Dos Prácticas Matemáticas De La Antigüedad

Mathematics Education in Oriental Antiquity and Middle Ages

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