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 resources for Apollonius de Perge: Coniques, Tome 3: Livre V. Commentaire historique et mathématique, édition et traduction du texte arabe
7 The soil of the Thriassion Plain is a Fluvisol, which is a young, alluvial, and usually fertile soil, whereas the surrounding mountains have a thin Leptosol soil. 8 In terms of tectonics, the Thriassion Fault, which is a west/northwest to east/southeast striking, south-west dipping normal fault, forms the northern border of the Thriassion plain on the western slope of Mt. 10 The destructive earthquake of 1999, which damaged Eleusis and 29 30 BRONZE AGE ELEUSIS AND THE ORIGINS OF THE ELEUSINIAN MYSTERIES 2.
Anyone who tried to do so would have his hand cut off. Once some westerners dragged it down to the sea-shore with the intention of taking it on board their ship, but during the night it returned by itself to its place. However, in the year 1801 the English did succeed in removing it after paying a large sum of money to the Turks. On the previous day an ox had broken its halter, dashed against the statue, striking it with its horns, and then ran bellowing over the plain. The villagers understood this to mean that a great calamity would befall them if they let the statue go; they said their crops would 35 36 BRONZE AGE ELEUSIS AND THE ORIGINS OF THE ELEUSINIAN MYSTERIES be destroyed.
Those were the sacred objects that were kept in the Anaktoron inside the Telesterion, only to be transported ceremoniously 23 24 BRONZE AGE ELEUSIS AND THE ORIGINS OF THE ELEUSINIAN MYSTERIES to Athens and back during the early part of the Greater Mysteries. 111 Each initiate would fill two plemochoai with liquid and, holding one to the east and the other to the west, would turn them upside down, thus pouring the content on the earth. The rest of the day was probably spent in singing and dancing.
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