Open AccessJournal Article
Greek geometrical analysis : A new interpretation through the givens -terminology
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This article is published in Bollettino Di Storia Delle Scienze Matematiche.The article was published on 2006-01-01 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Interpretation (philosophy) & Terminology.read more
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Journal ArticleDOI
The function of diorism in ancient Greek analysis
Ken Saito,Nathan Sidoli +1 more
TL;DR: In this paper, it was shown that diorism was a type of mathematical investigation, not only of the limitation of a geometric solution, but also of the total number of solutions and their arrangement.
Book ChapterDOI
Research on Ancient Greek Mathematical Sciences, 1998-2012
TL;DR: A survey of research in ancient Greek mathematics and, to a lesser extent, mathematical sciences in the long first decade of the 21st century can be found in this article, which is modeled on the two preceding surveys by J.L. Berggren and K. Saito.
Journal ArticleDOI
Comparative analysis in Greek geometry
Nathan Sidoli,Ken Saito +1 more
TL;DR: In this paper, the authors investigate a type of theoretic analysis, not previously recognized by scholars, in which the mathematician uses the techniques of ancient analysis to determine whether an assumed relation is greater than, equal to, or less than.
Journal ArticleDOI
The concept of given in Greek mathematics
TL;DR: In this article, the technical concept of given in Greek mathematical texts is discussed, and arguments by givens are shown to be general claims about constructibility and computability, and the claim that an object is given is related to our concept of assignment.
Journal ArticleDOI
Federico Commandino and the Latin edition of Pappus’ Collection
TL;DR: In this article, two letters from Commandino to Ettore Ausonio shed new light on the edition of Pappus's Mathematicae collectiones and showed the partnership between the two mathematicians in elaborating supplementary proofs to include in the comments.