Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
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Página 3
... dividing line ( μelópiov ) between number and aliquot parts , says " thus Diophantus in the Moriastica ...... for he describes as ' parts ' the progression without limit in the direction of less than the unit . " Tannery thinks the ...
... dividing line ( μelópiov ) between number and aliquot parts , says " thus Diophantus in the Moriastica ...... for he describes as ' parts ' the progression without limit in the direction of less than the unit . " Tannery thinks the ...
Página 5
... divide the six Books into seven ' , while one or two give the fragment on Polygonal Numbers with the number VIII . The idea that Regiomontanus saw , or said he saw , a MS . containing the thirteen Books complete is due to a ...
... divide the six Books into seven ' , while one or two give the fragment on Polygonal Numbers with the number VIII . The idea that Regiomontanus saw , or said he saw , a MS . containing the thirteen Books complete is due to a ...
Página 44
... divides the dividend without a remainder . In other cases the quotient has to be expressed as a fraction , whether the divisor is a specific number or contains the variable . The case of division comes then under that of fractions ...
... divides the dividend without a remainder . In other cases the quotient has to be expressed as a fraction , whether the divisor is a specific number or contains the variable . The case of division comes then under that of fractions ...
Página 48
... 2x2 + 200 = 208 . ἀφ . ΔΥ 10 mon Subtracting , 2x = 8 . μερο 41⁄4ã го моб sā UT . μοιβ μη jo moj Dividing , x2 = 4 . x = 2 . Result : [ the numbers are ] 12 , 8 . which have no intrinsic relationship to the things which they 48 ...
... 2x2 + 200 = 208 . ἀφ . ΔΥ 10 mon Subtracting , 2x = 8 . μερο 41⁄4ã го моб sā UT . μοιβ μη jo moj Dividing , x2 = 4 . x = 2 . Result : [ the numbers are ] 12 , 8 . which have no intrinsic relationship to the things which they 48 ...
Página 51
... divide the proposed square into two squares . Let it be proposed then to divide 16 into two squares . And let the first be supposed to be 1S ; therefore the second will be 16 U - 1S . Thus 16 U - 1S must be equal to a square . I form ...
... divide the proposed square into two squares . Let it be proposed then to divide 16 into two squares . And let the first be supposed to be 1S ; therefore the second will be 16 U - 1S . Thus 16 U - 1S must be equal to a square . I form ...
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