Diophantos of Alexandria: A Study in the History of Greek Algebra |
From inside the book
Results 1-5 of 18
Page x
... equations con- taining only one power of the unknown 88-90 ( 2 ) Mixed quadratics . 90-93 ( 3 ) Cubic equation 93-94 ( B ) Indeterminate equations . I. Indeterminate equations of the first and second degrees . ( 1 ) Single equation ...
... equations con- taining only one power of the unknown 88-90 ( 2 ) Mixed quadratics . 90-93 ( 3 ) Cubic equation 93-94 ( B ) Indeterminate equations . I. Indeterminate equations of the first and second degrees . ( 1 ) Single equation ...
Page 24
... indeterminate analysis which not only indicate that their author had deeply studied Diophantos , but are , many of ... equations of the first or second degree which lead , with two exceptions , to irrational results , whereas such were not ...
... indeterminate analysis which not only indicate that their author had deeply studied Diophantos , but are , many of ... equations of the first or second degree which lead , with two exceptions , to irrational results , whereas such were not ...
Page 28
... indeterminate equations of the second degree , beginning with simpler cases and advancing step by step to more complicated questions . These indeterminate or semideterminate problems form the main feature of the collection . Now it is a ...
... indeterminate equations of the second degree , beginning with simpler cases and advancing step by step to more complicated questions . These indeterminate or semideterminate problems form the main feature of the collection . Now it is a ...
Page 33
... indeterminate problems of the first degree and of the solution of the complete quadratic . The method of the Porisms ... equations is no longer the object , but rather the demonstration of propositions . There appears no ground , beyond ...
... indeterminate problems of the first degree and of the solution of the complete quadratic . The method of the Porisms ... equations is no longer the object , but rather the demonstration of propositions . There appears no ground , beyond ...
Page 80
... equations of the first order with two , three , or four variables ; all these Diophantos ex- presses in terms of one unknown , and then proceeds to find it from a simple equation ... indeterminate and would lead with our notation to an inde ...
... equations of the first order with two , three , or four variables ; all these Diophantos ex- presses in terms of one unknown , and then proceeds to find it from a simple equation ... indeterminate and would lead with our notation to an inde ...
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.