Hippokratesa z Chios kwadratura księżyczków
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Słowa kluczowe

Hippocrates of Chios
quadrature of the circle by means of lunules
diagrammatic notations
Polish translation

Jak cytować

Wesoły, M. A. (2021). Hippokratesa z Chios kwadratura księżyczków. Symbolae Philologorum Posnaniensium Graecae Et Latinae, 31(1), 347–363. https://doi.org/10.14746/sppgl.2021.XXXI.1.25

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Abstrakt

I dedicate this article, in Memoriam, to Professor Sylwester Dworacki, my first guide in Greek texts, with whom I later had the distinguished privilege to frequently discuss diverse issues in philological exegesis. The little-known figure of Hippocrates of Chios has recently attracted strong interest of several scholars, though mainly by historians of mathematics. Aristotle mentioned critically his quadrature of the circle by means of segments or by means of lunules. Aristotle’s commentator Simplicius, citing Eudemus of Rhodos, quoted a longer paraphrase of Hippocrates’ arguments regarding the quadrature of the lunules. Appropriately selected parts from these arguments are given here in Greek, along with their faithful Polish translation. One should carefully understand the critical stance of Aristotle, who in his particular way understood quadrature as the finding of the geometrical mean and, therefore, accused Hippocrates of using false diagrams.

https://doi.org/10.14746/sppgl.2021.XXXI.1.25
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Bibliografia

Źródła, przekłady i komentarze

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Źródła, przekłady i komentarze

Antiphon the Sophist: The Fragments, ed. G.J. Pendrick, Cambridge 2002.

Arystoteles, Analityki pierwsze. Analityki wtóre, przekł. i oprac. M.A. Wesoły, Lublin–Roma 2020.

Becker, O., Zur Textgestellung des Eudemischen Berichts über die Quadratur der Möndchen durch Hippokrates von Chios, Quellen und Studien zur Geschichte der Mathematik, „Astronomie und Physik” 3 (1936), 411–19.

Die Fragmente der Vorsokratiker, eds. H. Diels, W. Kranz, I–III, Berlin 196110.

Euclide, Il I libro degli Elementi. Una nuova lettura, eds. L. Russo, G. Pirro, E. Salciccia, Roma 2017.

Eudemus von Rhodos. Texte und Kommentar, ed. F. Wehrli, Basel 1969 (1955).

Wesoły 1997b: M. Wesoły, Przyczyna i wyjaśnianie ejdetyczne według Arystotelesa, „Symbolae Philologorum Posnaniensium” 11 (1997), 17–37.

Wesoły 1999: M. Wesoły, Analiza w greckiej geometrii i analityka Arystotelesa, w: Między matematyką a przyrodoznawstwem, red. E. Piotrowska, D. Sobczyńska, Poznań 1999, 19–40.

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