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Barlaam’s Paraphrase of Euclid, Elements II 1–10. A Critical Edition

    Fabio Acerbi

Jahrbuch der Österreichischen Byzantinistik 72, pp. 1-62, 2023/03/29

doi: 10.1553/joeb72s1

doi: 10.1553/joeb72s1

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doi:10.1553/joeb72s1



doi:10.1553/joeb72s1

Abstract

The article presents a critical edition, with a translation and an introduction, of the arithmetical rewriting of Euclid, Elements II 1–10, authored by the 14th-century scholar and polemicist Barlaam of Seminara, one of the two leading characters in the Palamite and hesychast controversies. In this way, a further item of Barlaam’s scientific writings can now be read in a critical edition. The present edition explains in detail the mathematical background of Barlaam’s work, describes all of its manuscript witnesses, reconstructs a stemma codicum that does not require any lost witness, and pays due attention to the diagrams that accompany the text.

Keywords: Barlaam of Seminara, Euclid’s Elements, Rewriting, Byzantine mathematics, Geometric Algebra