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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Additional info for Apollonius de Perge: Coniques, Tome 3: Livre V. Commentaire historique et mathématique, édition et traduction du texte arabe
The Souda named four, of which the most famous is Aristophanes of Byzantion, his successor as Librarian, famous for his studies of Greek poets. 77 FGrHist #241, F4–8; Geus, Eratosthenes 323–32. FGrHist #241, F1–3; see also F9–15; Geus, Eratosthenes 313–22. 74 Geus, Eratosthenes 110–28. 75 Hermes, F16. 231–58; see also James S. Romm, The Edges of the Earth in Ancient Thought (Princeton 1992) 128–9. 77 Aristophanes of Byzantion was Librarian from the death of Eratosthenes to about 189/6 BC (Fraser, PA vol.
Strabo placed within the realm of fabricated geography de tails that Eratosthenes found reliable, most notably the data from Py theas of Massalia (F153). Eratosthenes’ emphasis seems to have been the stories about the early wanderings of Herakles and Dionysos,95 and perhaps other mythic material, as well as the fantastic tales that had emanated from India since the time of Herodotos (F22). That this dis cussion closed Book 1 was made clear by Strabo (F19). Book 2 is devoted to the shape of the earth.
The fourth sealstone follows almost seamlessly with a lengthy discussion of the Arabian pen insula (F95). 12; Augustus, Res gestae 31. 106 28 Eratosthenes merchants in Alexandria, with additional data from sailing records. The account of the Persian Gulf and Arabia shows more than anywhere else that ethnography and natural history were a significant part of the work, but that much of this material has not survived, eventually seen as derivative, fantastic, or obsolete. Theoretically Egypt was part of the fourth sealstone, although the concept was ignored in favor of a general view of Africa as a whole.