Displaying similar documents to “Three dimensional illustrations for some propositions from Euclid's Elements”

An Exciting New Arabic Version of Euclid’s Elements: MS Mumbai, MULLĀ FĪ RŪ Z R.I.6

Sonja Brentjes (2006)

Revue d'histoire des mathématiques

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This paper introduces an anonymous and undated Arabic version of Euclid’s . It tries to determine its relationship to the textual history of the Arabic as known today. The value of the version, the paper argues, is its close relationship to the works of the first known translator of Euclid’s into Arabic, al-Ḥajjāj b.Yūsuf b.Maṭar, the light it sheds on philosophical debates surrounding the , and the new textual basis (BooksI toIX with some lacunae) it yields for the further study of...

It’s not that they couldn’t

Reviel Netz (2002)

Revue d'histoire des mathématiques

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The article offers a critique of the notion of ‘concepts’ in the history of mathematics. Authors in the field sometimes assume an argument from conceptual impossibility: that certain authors could not do X because they did not have concept Y. The case of the divide between Greek and modern mathematics is discussed in detail, showing that the argument from conceptual impossibility is empirically as well as theoretically flawed. An alternative account of historical diversity is offered,...

From Euclid's Elements to the methodology of mathematics. Two ways of viewing mathematical theory

Piotr Błaszczyk (2018)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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We present two sets of lessons on the history of mathematics designed for prospective teachers: (1) Euclid's Theory of Area, and (2) Euclid's Theory of Similar Figures. They aim to encourage students to think of mathematics by way of analysis of historical texts. Their historical content includes Euclid's Elements, Books I, II, and VI. The mathematical meaning of the discussed propositions is simple enough that we can focus on specific methodological questions, such as (a) what makes...

The Impact of Modern Mathematics on Ancient Mathematics

Wilbur R. Knorr (2001)

Revue d'histoire des mathématiques

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In a hitherto unpublished lecture, delivered in Atlanta, 1975, W.R. Knorr reflects on historical method, its sensitivity to modern work, both in mathematics and in the philosophy of mathematics. Three examples taken from the work of Tannery, Hasse, Scholz and Becker and concerning the study of pre-euclidean geometry are discussed: the mis-described discovery of irrational ‘numbers’, the alleged foundations crisis in the 5th century B.C. and the problem of constructibility.