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 version 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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29, 39, 41, 42, 45, 47, 49, 58, 59; Knigge 1975, p. 126, nos. 11, 12, pl. 43:3, 4; Petrakos 1989, p. 6, pl. 2:β; Kerameikos XIV, nos. 4, 17, 18, 21, 25, 28, 35– 37, 41, 54, 57, 60, 62, 79, 159, pls. 28, 30–32, 36, 38–41, 43–46, 48, 55. In graves: Kerameikos XIV, p. 47, no. 46, pl. 42; Schlörb-Vierneisel 1966, pp. 41– 42, 50–51, 54–55, 96, nos. 82, 102, 107, 171, pls. 34, 41, 42, 59; Parlama and Stampolidis 2000, p. 169, no. 142. 69. , Schlörb-Vierneisel 1966, p. 75, nos. 20, 21, pl. 49:3; Kerameikos XIV, p.

65 They are now rare in the city,66 but common in cemeteries, especially as offerings outside the grave, rarely as grave gifts. 67 They show up in Agora pyres within the next decade. Ribbon-handled plates appear in nearly three-quarters of the Agora pyres, most commonly as a matched pair, though single instances are not unusual, and as many as six may be present. 69 The other standard plate offering (the rilled-rim plate) first arose around 430 as a delicate and fully black-gloss vessel, distinguished by a 60.

2. Young 1951b, p. 110. Nearly three-quarters of the Agora pyres were uncovered in what appear to be their original places of deposit. Nonetheless, they present significant problems of stratigraphic interpretation, for some had been severely disturbed and others were only summarily recorded. A complete sequence preserving the pyre and the stratigraphy around and above it is rarely preserved or documented. In the best cases, however, the excavators’ descriptions, along with photographs taken at the time of excavation, make it possible, within limits, to reconstruct the ways in which the deposits were formed.

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