Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page 2
... Καὶ τάφος ἐκ τέχνης μέτρα βίοιο λέγει . Ἕκτην κουρίζειν βιότου θεὸς ὤπασε μοίρην , Δωδεκάτῃ δ ̓ ἐπιθεὶς μῆλα πόρεν χλοάειν . Τῇ δ ̓ ἄρ ̓ ἐφ ̓ ἑβδομάτῃ τὸ γαμήλιον ἥψατο φέγγος , Ἐκ δὲ γάμων πέμπτῳ παῖδ ̓ ἐπένευσεν ἔτει . Αἱ αἱ τηλύγετον ...
... Καὶ τάφος ἐκ τέχνης μέτρα βίοιο λέγει . Ἕκτην κουρίζειν βιότου θεὸς ὤπασε μοίρην , Δωδεκάτῃ δ ̓ ἐπιθεὶς μῆλα πόρεν χλοάειν . Τῇ δ ̓ ἄρ ̓ ἐφ ̓ ἑβδομάτῃ τὸ γαμήλιον ἥψατο φέγγος , Ἐκ δὲ γάμων πέμπτῳ παῖδ ̓ ἐπένευσεν ἔτει . Αἱ αἱ τηλύγετον ...
Page 4
... καὶ ἀπεδείχθη τὸ παρὰ Ὑψικλεῖ ἐν ὅρῳ λεγόμενον . ” “ συναποδειχθέντος οὖν καὶ τοῦ Ὑψικλέους ὅρου , κ . τ . λ . ” 2 “ καί ποτε διελοῦντες ( sc . Basileides of Tyre and Hypsikles ' father ) τὸ ὑπὸ ̓Απολλωνίου γραφὲν περὶ τῆς συγκρίσεως ...
... καὶ ἀπεδείχθη τὸ παρὰ Ὑψικλεῖ ἐν ὅρῳ λεγόμενον . ” “ συναποδειχθέντος οὖν καὶ τοῦ Ὑψικλέους ὅρου , κ . τ . λ . ” 2 “ καί ποτε διελοῦντες ( sc . Basileides of Tyre and Hypsikles ' father ) τὸ ὑπὸ ̓Απολλωνίου γραφὲν περὶ τῆς συγκρίσεως ...
Page 8
... 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 · ̓Απολλωνίου ὑπόμνημα . 2 Suidae Lexicon , Cantabrigiae ...
... 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 · ̓Απολλωνίου ὑπόμνημα . 2 Suidae Lexicon , Cantabrigiae ...
Page 9
... καὶ ἐκτείνας μόνον ἥψατο καὶ Διόφαντος Αλλον ἀπελπίζων , αὐτὸς ἀπεσκάρισεν . " Ludit non inuenustus poëta tum in Diophantum Astrologum , tum in medi- cum Hermogenem , quem et alibi saepe falsè admodum perstringit , quòd solo attactu non ...
... καὶ ἐκτείνας μόνον ἥψατο καὶ Διόφαντος Αλλον ἀπελπίζων , αὐτὸς ἀπεσκάρισεν . " Ludit non inuenustus poëta tum in Diophantum Astrologum , tum in medi- cum Hermogenem , quem et alibi saepe falsè admodum perstringit , quòd solo attactu non ...
Page 11
... καὶ Διόφαντός φησιν ὅτι , τῆς μονάδος ἀμεταθέτου οὔσης καὶ ἑστώσης πάντοτε , τὸ πολλαπλασιαζόμενον εἶδος ἐπ ̓ αὐτὴν αὐτὸ τὸ εἶδος ἔσται . We have only to remark that these words are identically those of Diophantos ' sixth definition ...
... καὶ Διόφαντός φησιν ὅτι , τῆς μονάδος ἀμεταθέτου οὔσης καὶ ἑστώσης πάντοτε , τὸ πολλαπλασιαζόμενον εἶδος ἐπ ̓ αὐτὴν αὐτὸ τὸ εἶδος ἔσται . We have only to remark that these words are identically those of Diophantos ' sixth definition ...
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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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