Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
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Página 22
... symbol for it is , the square of the unknown ( x2 ) is 2 , the cube 3 ; and so on . and minus ( più and meno ) he uses the initial letters Thus corresponding to x + 6 we should find in Bombelli 1 p . 6 , and for x2 + 5x — 4 , 12 p . 51 ...
... symbol for it is , the square of the unknown ( x2 ) is 2 , the cube 3 ; and so on . and minus ( più and meno ) he uses the initial letters Thus corresponding to x + 6 we should find in Bombelli 1 p . 6 , and for x2 + 5x — 4 , 12 p . 51 ...
Página 32
... symbol in verbal description he calls ó ápiμós , " the number , " i.e. , by implication , the number par excellence of the problem in question . In the cases where the symbol is used to denote in- flected forms , eg , the accusative ...
... symbol in verbal description he calls ó ápiμós , " the number , " i.e. , by implication , the number par excellence of the problem in question . In the cases where the symbol is used to denote in- flected forms , eg , the accusative ...
Página 33
... symbol being in addition doubled in the plural cases , thus spor , sport , spår , speis , for ȧpioμoi K.T.ẻ. When the symbol is used in practice , the coefficient is expressed by putting the required Greek numeral immediately after it ...
... symbol being in addition doubled in the plural cases , thus spor , sport , spår , speis , for ȧpioμoi K.T.ẻ. When the symbol is used in practice , the coefficient is expressed by putting the required Greek numeral immediately after it ...
Página 34
... symbol for his unknown quantity , would select the only letter of the Greek alphabet which was not already appropriated as a numeral ' . But he made the acute observation ' that , as the symbol occurred in many places ( of course in ...
... symbol for his unknown quantity , would select the only letter of the Greek alphabet which was not already appropriated as a numeral ' . But he made the acute observation ' that , as the symbol occurred in many places ( of course in ...
Página 36
... symbol like our x , though discharging much the same function . The next question is , what is its origin ? The facts ( 1 ) that the sign has the breathing prefixed in the Bodleian MS . , which writes for apibuós , and ( 2 ) that in one ...
... symbol like our x , though discharging much the same function . The next question is , what is its origin ? The facts ( 1 ) that the sign has the breathing prefixed in the Bodleian MS . , which writes for apibuós , and ( 2 ) that in one ...
Otras ediciones - Ver todo
Diophantus of Alexandria: A Study in the History of Greek Algebra Thomas L. Heath Vista previa restringida - 1910 |
Diophantus of Alexandria: A Study in the History of Greek Algebra Sir Thomas Little Heath,Leonhard Euler Vista de fragmentos - 1964 |
Términos y frases comunes
absolute term added Algebra arithm Assume auxiliary triangle Bachet Books coefficient commentary cube difference Dioph Diophantus double-equation equal Euler expression factors find a right-angled find three numbers find three squares find two numbers four numbers fraction Frénicle given number given ratio gives a square Greek hypotenuse Iamblichus indeterminate indeterminate equations integral Lagrange Lemma letter Maximus Planudes method minus multiplied Nesselmann obtain Oeuvres de Fermat polygonal number Porisms prime number problem proposition quadratic rational numbers required numbers required squares right-angled triangle satisfy the conditions solution square number substitute subtract Suppose Tannery Theon of Smyrna theorem third number triple-equation unknown quantity whence whole numbers Xylander καὶ