Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
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Página 15
... namely , Marcianus 308 ( Tannery's B , ) , itself apparently copied from an archetype of the 14th century now lost , with the exception of ten leaves which survive in Ambrosianus Et 157 sup . Tannery shows the relation of the MSS . in ...
... namely , Marcianus 308 ( Tannery's B , ) , itself apparently copied from an archetype of the 14th century now lost , with the exception of ten leaves which survive in Ambrosianus Et 157 sup . Tannery shows the relation of the MSS . in ...
Página 36
... namely op . It is easy to see that a simplification of this in different ways would readily produce signs like the different forms shown above . This then was the hypothesis which I put forward twenty - five years ago , and which I ...
... namely op . It is easy to see that a simplification of this in different ways would readily produce signs like the different forms shown above . This then was the hypothesis which I put forward twenty - five years ago , and which I ...
Página 38
... namely that the latter are not always restricted like dúvaμis to powers of the unknown , but may denote powers of ordinary known num- bers as well . This is no doubt owing to the fact that , while there are two words dúvaμis and ...
... namely that the latter are not always restricted like dúvaμis to powers of the unknown , but may denote powers of ordinary known num- bers as well . This is no doubt owing to the fact that , while there are two words dúvaμis and ...
Página 39
... namely the appós or s Diophantus has no symbol for the operation of multiplication ; ✓ it is rendered unnecessary by the fact that his coefficients are all definite numbers or fractions , and the results are simply put down without any ...
... namely the appós or s Diophantus has no symbol for the operation of multiplication ; ✓ it is rendered unnecessary by the fact that his coefficients are all definite numbers or fractions , and the results are simply put down without any ...
Página 40
... namely N ( Numero ) , the first power of the unknown being with them R ( Radice ) . Cossali1 makes an interesting comparison between the terms used by Diophantus for the successive powers of the unknown and those employed by the ...
... namely N ( Numero ) , the first power of the unknown being with them R ( Radice ) . Cossali1 makes an interesting comparison between the terms used by Diophantus for the successive powers of the unknown and those employed by the ...
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