Diophantos of Alexandria: A Study in the History of Greek Algebra |
From inside the book
Results 1-5 of 25
Page v
... rules and tabulated in the same way as the processes described in Chapter V. The Appendix , then , is a necessary part of the whole , in that there is much in Diophantos which could not be introduced elsewhere ; it must not , however ...
... rules and tabulated in the same way as the processes described in Chapter V. The Appendix , then , is a necessary part of the whole , in that there is much in Diophantos which could not be introduced elsewhere ; it must not , however ...
Page 17
... rule there are two most striking exceptions , in different branches of mathematics , Diophantos and Pappos . These two mathematicians , who would have been an ornament to any age , were destined by fate to live and labour at a time when ...
... rule there are two most striking exceptions , in different branches of mathematics , Diophantos and Pappos . These two mathematicians , who would have been an ornament to any age , were destined by fate to live and labour at a time when ...
Page 28
... rules for the reduction of equations of the second degree to their simplest forms ; secondly , he uses his method for their solution in the later Books , in some cases simply giving the result of the solution without working it out , in ...
... rules for the reduction of equations of the second degree to their simplest forms ; secondly , he uses his method for their solution in the later Books , in some cases simply giving the result of the solution without working it out , in ...
Page 85
... rules and methods for the solution of equations , as we have , only expressed in words . " So also Diophantos , whose methods have , it is true , in the great majority of cases no such universal character , gives us a perfectly general rule ...
... rules and methods for the solution of equations , as we have , only expressed in words . " So also Diophantos , whose methods have , it is true , in the great majority of cases no such universal character , gives us a perfectly general rule ...
Page 86
... rules , and there- fore by " method " -separately from what he calls " methods of solution , " thereby making it appear as though he did not look upon the " treatment of equations " as as " methods . " Now cer- tainly the " treatment of ...
... rules , and there- fore by " method " -separately from what he calls " methods of solution , " thereby making it appear as though he did not look upon the " treatment of equations " as as " methods . " Now cer- tainly the " treatment of ...
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.