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Apollonius de Perge, La section des droites selon des rapports
Hardcover
Series: Scientia Graeco-Arabica, Book 2
PhilosophyAncient History GeneralGeneral World History
ISBN13: 9783110186772
Publisher: De Gruyter
Published: Jan 14 2010
Pages: 500
Weight: 2.10
Height: 1.30 Width: 7.10 Depth: 9.60
Language: Arabic
Einem einzigartigen und schwierigen Problem gewidmet, ist die Abhandlung Über den Verhältnisschnitt von Apollonius aus Perge ein bemerkenswert komplexes Beispiel für die Erforschung der notwendigen Voraussetzungen für die Existenz einer Lösung. Apollonius ergründet in diesem Traktat die Extremwerte eines Verhältnisses und die Variationen dieses Verhältnisses durch verschiedene Intervalle - eine Methode, die in der griechischen Welt der Antike ihresgleichen sucht. Die Kenntnis des Textes beruhte bisher nur auf einer ungenauen lateinischen Übersetzung durch Edward Halley (Oxford 1706).
Der vorliegende Band bietet die editio princeps des nur noch in einer anonymen arabischen Fassung überlieferten Verhältnisschnittes. Erschlossen wird der Text durch eine französische Übersetzung und einen Kommentar, der die Mechanismen des schwierigen Beweises durch Apollonius aufzeigt und dabei besonders auf deren konzeptionelle Innovationen hinweist.
Diese Edition gehört in jede Bibliothek der Klassischen Philologie, der Wissenschaftsphilosophie und der Mathematikgeschichte.
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