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Apollonius de Perge, Coniques: Tome 2.2: Livre IV. by Rashed, Roshdi

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 struggle bisher nur in einer sehr fehlerhaften model einer griechischen Rezension des Eutokios bekannt. Roshdi Rashed legt nun erstmals die variation 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)

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Soc. You are a rogue, Meno, and you almost took me in. MEN. In what way, Socrates? Soc. I understand why you compared me to an electric ray. MEN. Why, do you think? Soc. That I might return the compliment and offer a comparison of you. For I know that handsome people love comparisons of themselves. And why not? For I suspect the pictures of such people inspire fine images. But, I shall not return the compliment. As for me, if the electric ray is itself numb as well as the cause of numbness in others, then the comparison is correct, otherwise it is not.

Yes. Soc. And a third square [CHGF], equal in size to each of the others. E F G D C A B H Figure 9 84e Boy. Yes. Soc. Then shall we fill up this vacant space in the corner [BIHCJ? [Figure lQ] Boy. Very well. Soc. Then, don't we have four equal squares here? Boy. We do. Soc. Well then, how much larger is this whole area [AIGE] than the other [ABCD]? Boy. Four times. TRANSLATION TO THE MEND 49 E~--------~F~--------,G D~------1--------1H C A~--------~------~I B Figure 10 85a Soc. But we wanted one only twice as large, remember?

Consider this further point. " MEN. I agree, for justice is a virtue. Soc. ' MEN. What do you mean? Soc. I am simply making a general point. Take roundness for example. I should say it is "a figure" not simply "figure without qualification," because there are other figures besides roundness. TRANSLATION TO THE MENO 74a 74b 74c 74d 31 MEN. Quite right. Just as I say there are other virtues besides justice. Soc. What are they? Name them. Just as I could name the other figures if you asked me, likewise give me the names of other virtues.

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