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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Apollonius de Perge: Coniques, Tome 3: Livre V. Commentaire historique et mathématique, édition et traduction du texte arabe

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.

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Extra resources for Apollonius de Perge: Coniques, Tome 3: Livre V. Commentaire historique et mathématique, édition et traduction du texte arabe

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Although the situation is improving, large stratified deposits of settlement material are still rare and most of our evidence comes from graves. These generally contain complete vases, in contrast with settlement deposits which consist mostly of sherds, but such vases are seldom numerous and tend to differ considerably from those used in settlements, both in preferences for particular shapes and in the quality of their decoration. Hence it is difficult to compare styles defined from grave-associated material and those defined from settlement deposits with complete confidence.

Essentially, only three Mycenaean palace plans have been uncovered more or less completely: at Mycenae (the least well known), Tiryns and Pylos. We do not know whether the plan at Thebes, arguably a more important site than Pylos, was closely comparable, although it seems unlikely (Dakouri-Hild 2001: especially 105). 3), which may well be the nearest thing to a palace that will ever be found in Thessaly, has a much less integrated plan than the Peloponnesian examples and has produced no frescoes.

Controllable from a single centre, and have never until modern times been part of a single state, unless it was much more extensive. Other arguments traditionally presented for a unified Mycenaean political system are weak. There is no reason why the considerable degree of cultural homogeneity should imply political unity, and, while the relevance of the Iliad to any sort of Bronze Age reality is highly debatable, it does not in any case represent 28 T H E C O L L A P S E O F T H E B R O N Z E A G E C I V I L I S AT I O N the other rulers and commanders as Agamemnon’s vassals, duty bound to follow him.

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