Apollonius de Perge: Coniques, Tome 3: Livre V. Commentaire by Roshdi Rashed

By Roshdi Rashed

Mit dem funften Buch der Kegelschnitte erreicht die antike Mathematik einen Hohepunkt. Apollonius fuhrt darin die erste bekannte Theorie der Maxima- und Minima-Linien aus, die von den Mathematikern zu Beginn des 10. und vor allem des 17. Jahrhunderts wieder aufgegriffen wurde. Ebenso wie die folgenden beiden Bucher VI und VII ist dieses Buch, dessen griechische Original-Fassung verloren ist, nur in der arabischen Ubersetzung erhalten, die im nine. Jahrhundert in Bagdad erstellt wurde.
Der Leser findet in diesem Band eine im wahrsten Wortsinn kritische variation des funften Buches der Kegelschnitte von Apollonius, eine strenge und wortgetreue Ubersetzung, sowie eine so vielseitige und ausfuhrliche historische und mathematische Kommentierung, wie sie die Erschlieung eines solch gewichtigen Zeugnisses erfordert.

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21)? How too are we to account for the many women gainfully employed in Athens in a variety of occupations? These include moneylending (Ar. Thesm. 839–45), ale-wifery (Ar. Plutus 1120), innkeeping (Ar. Frogs 549–51), and retail sales of garlands (Ar. Thesm. 446–48), greens (Thesm. 387), ribbons (Dem. 31–34), and many other items. These are just a few of the myriad pursuits that women follow in the pages of Aristophanes (cf. Ehrenberg, 1962:114–15, 126– 27). 36–50) confirm his picture. 22 Such women de Ste.

35). If we consider these four areas closely, we shall see that they involve a whole complex of specific tasks. 25, 33, 36). In this household, these products were grown on the estate. 53 From the sheep too came wool used in the production of clothes. 21, 36). These were no insignificant tasks. Nor was the supervision of slaves a small matter. If we accept Ehrenberg’s (1962:168) estimate of from three to twelve slaves as “normal in most houses,” the responsibility must have been a daunting one for the mistress.

In order to answer this question, I shall turn to Xenophon’s Oeconomicus. I do so in full awareness that Ischomachus’s country estate is not a typical oikos but a sumptuous establishment with a work force, both domestic and agricultural, of several dozen (Garlan, 1988:63; 1989). 52 Ischomachus’s young wife, moreover, is unusually naïve and docile, or at least her portrait has been embellished so as to produce the ideal of wifely virtue, a model for those who might consult this work for advice. Atypical, yes, but the Oeconomicus nonetheless provides insights into the kinds of responsibilities women assumed even in less affluent households and without the assistance of a host of slaves.

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