Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
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Página 9
... proved 1 Hultsch , loc . cit . The whole passage of Schulz is as follows ( pref . xxi ) : " Es ist daher nicht unwahr- scheinlich , dass diese Porismen eine eigene Schrift unseres Diophantus waren , welche vorzüglich die Zusammensetzung ...
... proved 1 Hultsch , loc . cit . The whole passage of Schulz is as follows ( pref . xxi ) : " Es ist daher nicht unwahr- scheinlich , dass diese Porismen eine eigene Schrift unseres Diophantus waren , welche vorzüglich die Zusammensetzung ...
Página 10
... proved , ” or δέδεικται γὰρ TOÛTO , " for this has been shown , " would have sufficed , or , if the propositions occurred later , some expression like és é§ñs deiXOŃσETAI οι δειχθήσεται ύφ ' ἡμῶν ὕστερον , " as will be proved in due ...
... proved , ” or δέδεικται γὰρ TOÛTO , " for this has been shown , " would have sufficed , or , if the propositions occurred later , some expression like és é§ñs deiXOŃσETAI οι δειχθήσεται ύφ ' ἡμῶν ὕστερον , " as will be proved in due ...
Página 11
... proved to have been unknown to all the ancients , to maintain that it could not have been known to some Greek mathematician . If we do not know to what lengths Archimedes brought the theory of numbers ( to say nothing of other things ) ...
... proved to have been unknown to all the ancients , to maintain that it could not have been known to some Greek mathematician . If we do not know to what lengths Archimedes brought the theory of numbers ( to say nothing of other things ) ...
Página 29
... prove of value very much more than commensurate with their bulk , were ( he says ) collected from the margin of his copy of Diophantus . From their brevity they were obviously intended for the benefit of experts ' , or even perhaps ...
... prove of value very much more than commensurate with their bulk , were ( he says ) collected from the margin of his copy of Diophantus . From their brevity they were obviously intended for the benefit of experts ' , or even perhaps ...
Página 55
... proved by his frequently stopping short , when the method has been made sufficiently clear , and the remainder of the work is mere straightforward calculation . The truth seems to be that there is as much in the shape of general 1 ...
... proved by his frequently stopping short , when the method has been made sufficiently clear , and the remainder of the work is mere straightforward calculation . The truth seems to be that there is as much in the shape of general 1 ...
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