Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
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Página 6
... third to the sixth , we find that Diophantus moves in a rigidly defined and limited circle of methods and artifices , and that any attempts which he makes to free himself are futile ; " as often as he gives the impression that he wishes ...
... third to the sixth , we find that Diophantus moves in a rigidly defined and limited circle of methods and artifices , and that any attempts which he makes to free himself are futile ; " as often as he gives the impression that he wishes ...
Página 8
... third , ie , the complete quadratic ax2 ± bx ± c = 0 , excluding the case ax + bx + co . The exclusion of the latter case is natural , since it is of the essence of the work to find rational and positive solutions . Nesselmann might ...
... third , ie , the complete quadratic ax2 ± bx ± c = 0 , excluding the case ax + bx + co . The exclusion of the latter case is natural , since it is of the essence of the work to find rational and positive solutions . Nesselmann might ...
Página 11
... third and fourth degree ' ; this view , however , though natural at that date , when the solution of cubic and biquadratic equations filled so large a space in contemporary investigations and in Bombelli's own studies , has nothing to ...
... third and fourth degree ' ; this view , however , though natural at that date , when the solution of cubic and biquadratic equations filled so large a space in contemporary investigations and in Bombelli's own studies , has nothing to ...
Página 13
... third ' , beginning with Acopávrov ἐπιπεδομετρικά , is a compilation made in the Byzantine period out of late reproductions of the γεωμετρούμενα and στερεομετρούμενα of Heron . The second and third fragments , like the first , have ...
... third ' , beginning with Acopávrov ἐπιπεδομετρικά , is a compilation made in the Byzantine period out of late reproductions of the γεωμετρούμενα and στερεομετρούμενα of Heron . The second and third fragments , like the first , have ...
Página 19
... third paragraph ( Def . 1 ) , and the rest of the fragment takes us up to the problem in I. II . Soon afterwards Maximus Planudes ( about 1260-1310 ) wrote a systematic commentary on Books I. , II . This is also included by Tannery in ...
... third paragraph ( Def . 1 ) , and the rest of the fragment takes us up to the problem in I. II . Soon afterwards Maximus Planudes ( about 1260-1310 ) wrote a systematic commentary on Books I. , II . This is also included by Tannery in ...
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