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  1. The concept of given in Greek mathematics.Nathan Sidoli - 2018 - Archive for History of Exact Sciences 72 (4):353-402.
    This paper is a contribution to our understanding of the technical concept of given in Greek mathematical texts. By working through mathematical arguments by Menaechmus, Euclid, Apollonius, Heron and Ptolemy, I elucidate the meaning of given in various mathematical practices. I next show how the concept of given is related to the terms discussed by Marinus in his philosophical discussion of Euclid’s Data. I will argue that what is given does not simply exist, but can be unproblematically assumed or produced (...)
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  • Hero and the tradition of the circle segment.Henry Mendell - 2023 - Archive for History of Exact Sciences 77 (5):451-499.
    In his Metrica, Hero provides four procedures for finding the area of a circular segment (with b the base of the segment and h its height): an Ancient method for when the segment is smaller than a semicircle, $$(b + h)/2 \, \cdot \, h$$ ( b + h ) / 2 · h ; a Revision, $$(b + h)/2 \, \cdot \, h + (b/2)^{2} /14$$ ( b + h ) / 2 · h + ( b / 2 (...)
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  • Pliny’s Presses: the True Story of the First Century Wine Press.Tamara Lewit & Paul Burton - 2019 - Klio 101 (2):543-598.
    Summary In a much-quoted passage of the “Natural History”, Pliny describes several wine press mechanisms. This description is of great historical importance, since it is the only such textual description of a vitally important class of technologies used for the production throughout the Roman Empire of both wine and olive oil, dietary staples in the ancient Mediterranean. Pliny’s text has been quoted and used as the basis for discussions of Roman farming and technological history for many decades. Yet it has (...)
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  • Diagrams in Intra-Configurational Analysis.Marco Longa Panza - 2021 - Philosophia Scientiae 25:81-102.
    In this paper we would like to attempt to shed some light on the way in which diagrams enter into the practice of ancient Greek geometrical analysis. To this end, we will first distinguish two main forms of this practice, i.e., trans-configurational and intra-configurational. We will then argue that, while in the former diagrams enter in the proof essentially in the same way they enter in canonical synthetic demonstrations, in the latter, they take part in the analytic argument in a (...)
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