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On the relations be...
On the relations between geometry and algebra in Gestrinius' edition of Euclid's Elements
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- Pejlare, Johanna, 1976 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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Rodhe, Staffan (author)
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(creator_code:org_t)
- ISBN 2909916510
- 2016
- 2016
- English.
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In: Radford, L., Furinghetti, F., & Hausberger, T. (Eds.) (2016). Proceedings of the 2016 ICME Satellite Meeting of the International Study Group on the Relations Between the History and Pedagogy of Mathematics. Montpellier, France: IREM de Montpellier.. - 2909916510 ; , s. 513-523
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Abstract
Subject headings
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- In 1637 the Swedish mathematician Martinus Erici Gestrinius contributed with a commented edition of Euclid’s Elements. In this article we analyse the relationship between geometry and algebra in Gestrinius’ Elements, as presented in Book II. Of particular interest are Propositions 4, 5, and 6, dealing with straight lines cut into equal and unequal parts, and the three kinds of quadratic equations Gestrinius associates with them. We argue that Gestrinius followed Clavius translation of the Elements, but was influenced by Ramus to include algebra.
Subject headings
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Didaktik (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Didactics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- history of mathematics
- mathematics education
- Gestrinius
- Euclid's Elements
- geometry
- algebra
- mathematics education
Publication and Content Type
- ref (subject category)
- kon (subject category)
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