By Rashed, Roshdi
Das vierte Buch der Kegelschnitte besteht aus zwei Teilen, deren erster eine Theorie der Pole und der Polare darlegt; der zweite behandelt die Zahl der Schnitt- und Ber??hrungspunkte beim Kegelschnitt. Das Buch warfare bisher nur in einer sehr fehlerhaften model einer griechischen Rezension des Eutokios bekannt. Roshdi Rashed legt nun erstmals die version einer arabischen ?bersetzung vor, deren Vorlage von dieser griechischen Textfassung unabh?¤ngig ist. Es handelt sich um eine wertvolle Wiederentdeckung, die daher auch in einem eigenen Band ver?¶ffentlicht wird. Er beinhaltet die editio princeps der arabischen model, eine genaue ?bersetzung und einen historisch-mathematischen Kommentar.
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Additional info for Apollonius de Perge, Coniques: Tome 2.2: Livre IV. Commentaire historique et mathématique, Édition et traduction du texte arabe (Apollonius De Perge, ... Scientia Graeco-Arabica) (French Edition)
However in the opening chapter of his astrological treatise, the Tetrabiblos, Ptolemy clearly distinguishes between two types of predictive study. On the one hand there are predictions concerning the movements of the heavenly bodies themselves (in our terms, astronomy) and on the other the use of those phenomena as the basis for predicting events on earth (astrology). He claimed that astrology was based on tried and tested experience. But the contrast with astronomy was not simply that astrology is conjectural, while astronomy can lay claims to demonstration, but also in terms of what the predictions were about.
But the astrologer was a mathematikos just as much as the astronomer (and it was usually the same individuals who pursued both studies). The Chinese deﬁnitions of the subjects they were concerned with, and of their interrelations, differ both from the modern, and from the ancient Greek, views. Take the example of the study of di li (‘earth 1 Cf. above Ch. 2 n. 4 with the reference to Lloyd 1991: 18. 2 Many modern scholars have looked for, and failed to ﬁnd, a science of geography in pre-modern China, where what that summons up are studies devoted to exact topographical descriptions, if not also to the mathematical solution of the cartographic problems of planar projection of a spherical world.
The evident mismatch between these categories and those we might be tempted to apply is striking. To start with, shu shu spans a number of different subject areas that fall either side of the division that we might tend to stress, between ‘mathematics’ and ‘physics’. Again divination and prediction ﬁgure in various sub-classes, and not all their forms are included in the category of shu shu. The Yijing or Book of Changes and the works dealing with its interpretation do not ﬁgure under shu shu, but in another main category of works devoted to the classics.