Diophantos of Alexandria: A Study in the History of Greek Algebra |
From inside the book
Results 1-5 of 26
Page ix
... probably before 950 A.D. • Porisms lost before 10th cent . A.D. Porisms may have Objections to this § 2. What portion of the Arithmetics is lost ? The contents of the lost books . The Polygonal Numbers and formed part of the complete ...
... probably before 950 A.D. • Porisms lost before 10th cent . A.D. Porisms may have Objections to this § 2. What portion of the Arithmetics is lost ? The contents of the lost books . The Polygonal Numbers and formed part of the complete ...
Page 4
... μεγάλως ἐψυχαγωγήθην ἐπὶ τῇ προβλήματος ζητήσει . τὸ μὲν ὑπὸ ̓Απολλωνίου ἐκδοθὲν ἔοικε κοινῇ σκοπεῖν . καὶ γὰρ περιφέρεται , κ . τ . λ . ” on Regular Solids was probably written about 180 B.C. It 4 DIOPHANTOS OF ALEXANDRIA .
... μεγάλως ἐψυχαγωγήθην ἐπὶ τῇ προβλήματος ζητήσει . τὸ μὲν ὑπὸ ̓Απολλωνίου ἐκδοθὲν ἔοικε κοινῇ σκοπεῖν . καὶ γὰρ περιφέρεται , κ . τ . λ . ” on Regular Solids was probably written about 180 B.C. It 4 DIOPHANTOS OF ALEXANDRIA .
Page 5
... probably written about 180 B.C. It was clearly a youthful production . Besides this we have another work of Hypsikles , of astronomical content , entitled in Greek ἀναφορικός . Νow in this treatise we find for the first time the ...
... probably written about 180 B.C. It was clearly a youthful production . Besides this we have another work of Hypsikles , of astronomical content , entitled in Greek ἀναφορικός . Νow in this treatise we find for the first time the ...
Page 12
... probably flourished under Diocletian ( A. D. 284- 305 ) ; but the date of a certain Commentary of Theon has been definitely determined ' as the year 372 A. D. and he undoubtedly flourished , as Suidas says , in the reign of Theodosius I ...
... probably flourished under Diocletian ( A. D. 284- 305 ) ; but the date of a certain Commentary of Theon has been definitely determined ' as the year 372 A. D. and he undoubtedly flourished , as Suidas says , in the reign of Theodosius I ...
Page 15
... probably took the name for Atópavтos , and was followed by other writers . Admitting that the identification with the arithmetician Diophantos is hypo- thetical enough , M. Tannery goes on to say that it is confirmed by finding the name ...
... probably took the name for Atópavтos , and was followed by other writers . Admitting that the identification with the arithmetician Diophantos is hypo- thetical enough , M. Tannery goes on to say that it is confirmed by finding the name ...
Other editions - View all
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
Popular passages
Page 5 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIVENER.
Page 22 - College, and Vicar of Hockington, Cambridgeshire. 7*. 6d. A Chronological List of the Graces, Documents, and other Papers in the University Registry which concern the University Library. Demy 8vo.
Page 6 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.
Page 6 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L.
Page 4 - By FHA SCRIVENER, MA, DCL, LL.D., Prebendary of Exeter and Vicar of Hendon. Crown 8vo.
Page 6 - THE CAMBRIDGE PSALTER, for the use of Choirs and Organists. Specially adapted for Congregations in which the " Cambridge Pointed Prayer Book
Page 7 - Sayings of the Jewish Fathers, comprising Pirqe Aboth and Pereq R. Meir in Hebrew and English, with Critical and Illustrative Notes ; and specimen pages of the Cambridge University Manuscript of the Mishnah 'Jerushalmith'.
Page 12 - Pindar. Olympian and Pythian Odes. With Notes Explanatory and Critical, Introductions and Introductory Essays. Edited by CAM FENNELL, MA, late Fellow of Jesus College. Crown 8vo. cloth. gs. The Isthmian and Nemean Odes by the same Editor. 9*.
Page 18 - Grotius de Jure Belli et Pacis, with the Notes of Barbeyrac and others ; accompanied by an abridged Translation of the Text, by W. WHEWELL, DD late Master of Trinity College. 3 Vols. Demy Octavo, 1 2 s.