Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page 2
... του Διόφαντον ἔχει τάφος , ὦ μέγα θαῦμα , Καὶ τάφος ἐκ τέχνης μέτρα βίοιο λέγει . Ἕκτην κουρίζειν βιότου θεὸς ὤπασε μοίρην ... Τοῦ δὲ καὶ ἡ κρυερὸς μέτρον ἑλων βιότου . Πένθος δ ̓ αὖ πισύρεσσι παρηγορέων ἐνιαυτοῖς Τῇδε πόσου σοφίῃ τέρμ ̓ ...
... του Διόφαντον ἔχει τάφος , ὦ μέγα θαῦμα , Καὶ τάφος ἐκ τέχνης μέτρα βίοιο λέγει . Ἕκτην κουρίζειν βιότου θεὸς ὤπασε μοίρην ... Τοῦ δὲ καὶ ἡ κρυερὸς μέτρον ἑλων βιότου . Πένθος δ ̓ αὖ πισύρεσσι παρηγορέων ἐνιαυτοῖς Τῇδε πόσου σοφίῃ τέρμ ̓ ...
Page 4
... τοῦ Ὑψικλέους ὅρου , κ . τ . λ . ” 2 “ καί ποτε διελοῦντες ( sc . Basileides of Tyre and Hypsikles ' father ) τὸ ὑπὸ ̓Απολλωνίου γραφὲν περὶ τῆς συγκρίσεως τοῦ δωδεκαέδρου καὶ τοῦ εἰκοσαέδρου τῶν εἰς τὴν αὐτὴν σφαίραν ἐγγραφομένων ...
... τοῦ Ὑψικλέους ὅρου , κ . τ . λ . ” 2 “ καί ποτε διελοῦντες ( sc . Basileides of Tyre and Hypsikles ' father ) τὸ ὑπὸ ̓Απολλωνίου γραφὲν περὶ τῆς συγκρίσεως τοῦ δωδεκαέδρου καὶ τοῦ εἰκοσαέδρου τῶν εἰς τὴν αὐτὴν σφαίραν ἐγγραφομένων ...
Page 8
... τοῦ Γεωμέτρου θυγάτηρ τοῦ ̓Αλεξανδρέως φιλοσόφου καὶ αὐτὴ φιλόσοφος , καὶ πολλοῖς γνώριμος γυνὴ Ἰσιδώρου τοῦ φιλοσόφου ἤκμασεν ἐπὶ τῆς βασιλείας ̓Αρκαδίου · ἔγραψεν ὑπόμνημα εἰς Διοφάντην τὸν ἀστρονομικόν . Κανόνα εἰς τὰ κωνικά ...
... τοῦ Γεωμέτρου θυγάτηρ τοῦ ̓Αλεξανδρέως φιλοσόφου καὶ αὐτὴ φιλόσοφος , καὶ πολλοῖς γνώριμος γυνὴ Ἰσιδώρου τοῦ φιλοσόφου ἤκμασεν ἐπὶ τῆς βασιλείας ̓Αρκαδίου · ἔγραψεν ὑπόμνημα εἰς Διοφάντην τὸν ἀστρονομικόν . Κανόνα εἰς τὰ κωνικά ...
Page 11
... τοῦ Μουσείου , Αἰγύπτιος , φιλόσοφος , σύγχρονος δὲ Πάππῳ τῷ φιλοσόφῳ καὶ αὐτῷ ̓Αλεξανδρεῖ · ἐτύγχανον δὲ ἀμφότεροι ἐπὶ Θεοδοσίου βασιλέως τοῦ πρεσβυτέ- ρου " έγραψε Μαθηματικά , ̓Αριθμητικά , κ . τ . λ . certainly incorrect and due to ...
... τοῦ Μουσείου , Αἰγύπτιος , φιλόσοφος , σύγχρονος δὲ Πάππῳ τῷ φιλοσόφῳ καὶ αὐτῷ ̓Αλεξανδρεῖ · ἐτύγχανον δὲ ἀμφότεροι ἐπὶ Θεοδοσίου βασιλέως τοῦ πρεσβυτέ- ρου " έγραψε Μαθηματικά , ̓Αριθμητικά , κ . τ . λ . certainly incorrect and due to ...
Page 12
... τοῦ ̓Ιουλιανοῦ τοῦ Παραβατοῦ χρόνων , καὶ μέχρι Θεοδοσίου τοῦ πρεσβυτέρου , Φασγανίου πατρός , μαθητὴς Διοφάντου . 3 Note M. p . LXIII . " The Armenian Abu'lfaraj places the Algebraist Dio- phantus under the emperor Julian . But it may ...
... τοῦ ̓Ιουλιανοῦ τοῦ Παραβατοῦ χρόνων , καὶ μέχρι Θεοδοσίου τοῦ πρεσβυτέρου , Φασγανίου πατρός , μαθητὴς Διοφάντου . 3 Note M. p . LXIII . " The Armenian Abu'lfaraj places the Algebraist Dio- phantus under the emperor Julian . But it may ...
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Common terms and phrases
Abu'l-Wafa Algebra Alkarkhi Arabian Arithmetics Assume Ave Maria Lane Ax² Bachet Bombelli C. J. CLAY Cambridge University Press CLAY & SONS coefficients College commentary condition Cossali Crown 8vo cube Demy 8vo difference Diophantos edition Editor English equal Fellow Fermat final sigma find a right-angled find three numbers find two numbers fraction given number given ratio gives Greek Hence hypotenuse Hypsikles indeterminate equations LL.D Maximus Planudes mentioned method Mohammed ibn Mūsā multiplied Nesselmann Nikomachos notation Notes phantos Polygonal Numbers Porisms problem Professor quadratic Regiomontanus remark required number result right-angled triangle roots side solution solved square number St John's College subtract Suidas symbol Tannery term Theon of Alexandria third translation treatise Trinity College University of Cambridge University Press Warehouse unknown quantity whence words write Xylander δὲ εἰς ἐν καὶ τὰ τὸ τοῦ τῶν
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