Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
Resultados 1-5 de 44
Página 5
... fourth section of this work , which begins and ends with problems corresponding to problems in Diophantus Books II . and III . respectively , are 25 problems not found in Diophantus ; but the differences from Diophantus in essential ...
... fourth section of this work , which begins and ends with problems corresponding to problems in Diophantus Books II . and III . respectively , are 25 problems not found in Diophantus ; but the differences from Diophantus in essential ...
Página 11
... 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 support it ...
... 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 support it ...
Página 17
... fourth So ; before V. 20 ( in Bachet's numbering ) —should this be IV . 20 ? —is the heading Διοφάντου ε " , before the fifth Book Διοφάντου 5 , before the sixth Aιopávтov . ¿ ov , and before the tract on Polygonal Numbers Aιopávтov nor ...
... fourth So ; before V. 20 ( in Bachet's numbering ) —should this be IV . 20 ? —is the heading Διοφάντου ε " , before the fifth Book Διοφάντου 5 , before the sixth Aιopávтov . ¿ ov , and before the tract on Polygonal Numbers Aιopávтov nor ...
Página 41
... fourth ( Svvapodívaμis ) , i.e. x , the Egyptians called " the first undescribed " ( aλoyos here apparently meaning that of which no account can be given ) , because it is neither a square nor a cube ; alternatively they called it " the ...
... fourth ( Svvapodívaμis ) , i.e. x , the Egyptians called " the first undescribed " ( aλoyos here apparently meaning that of which no account can be given ) , because it is neither a square nor a cube ; alternatively they called it " the ...
Página 47
... fourth from four ) , so the fractions homonymous with the numbers just defined are called after them ; thus from ȧpilμós we name the fraction apieμooтóv [ ie . 1 / x from x ] , Tò Suvaμоoтóv from δύναμις , τὸ κυβοστόν from κύβος , το ...
... fourth from four ) , so the fractions homonymous with the numbers just defined are called after them ; thus from ȧpilμós we name the fraction apieμooтóv [ ie . 1 / x from x ] , Tò Suvaμоoтóv from δύναμις , τὸ κυβοστόν from κύβος , το ...
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