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18 juillet 2016
- handle: 10670/1.k7twak
- hal: hal-01349262
info:eu-repo/semantics/OpenAccess
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Euclid's Elements geometry algebraSujets proches
Interest and usury Article Quadratic equations Relations--Foreign countries Relations (Canon law) Relations with friends and associates Associates CompanionsCiter ce document
Johanna Pejlare et al., « On the relations between geometry and algebra in Gestrinius' edition of Euclid's Elements », HAL-SHS : sciences de l'éducation, ID : 10670/1.k7twak
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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 to them. We argue that Gestrinius followed Clavius translation of the Elements, but was influenced by Ramus to include algebra.