Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page v
... symbols employed by Diophantos . A few words may be necessary to explain the purpose of the Appendix . This is the result of the compression of a large book into a very small space , and claims to have no inde- pendent value apart from ...
... symbols employed by Diophantos . A few words may be necessary to explain the purpose of the Appendix . This is the result of the compression of a large book into a very small space , and claims to have no inde- pendent value apart from ...
Page x
... symbols answered . 69 . . Other questions of notation : operations , fractions , & c . 69-76 § 5. General remarks on the historical development of algebraic notation : three stages exhibited . § 6. On the influence of Diophantos ...
... symbols answered . 69 . . Other questions of notation : operations , fractions , & c . 69-76 § 5. General remarks on the historical development of algebraic notation : three stages exhibited . § 6. On the influence of Diophantos ...
Page 45
... symbol for it is 1 , the square of the unknown ( x2 ) is 2 , the cube 3 ; and so on . For plus and minus ( più and meno ) he uses the initial letters p . and m . Thus corresponding to +6 we should find in Bom- belli 11 p . 6 , and for ...
... symbol for it is 1 , the square of the unknown ( x2 ) is 2 , the cube 3 ; and so on . For plus and minus ( più and meno ) he uses the initial letters p . and m . Thus corresponding to +6 we should find in Bom- belli 11 p . 6 , and for ...
Page 57
... editions as the Greek letters with an accent , thus s ' , or in the form so . This symbol in verbal description he calls & apieμós , " the number " i.e. by impli- cation , the number par excellence of the problem in IV.
... editions as the Greek letters with an accent , thus s ' , or in the form so . This symbol in verbal description he calls & apieμós , " the number " i.e. by impli- cation , the number par excellence of the problem in IV.
Page 58
... symbol being in addition doubled in the plural cases , thus ssoí , ssous , s ssois for ȧpioμoí K.T.λ. When the symbol is used in practice , the coefficient is expressed by putting the required Greek numeral immediately after it , thus ...
... symbol being in addition doubled in the plural cases , thus ssoí , ssous , s ssois for ȧpioμoí K.T.λ. When the symbol is used in practice , the coefficient is expressed by putting the required Greek numeral immediately after it , thus ...
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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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