Diophantus of Alexandria: A Study in the History of Greek AlgebraDover Publications, 1964 - 387 páginas |
Dentro del libro
Resultados 1-3 de 29
Página 69
... Lemma to VI . 15 thus , though only for the case in which C is negative : " Given two numbers , if , when one is multiplied by some square and the other is subtracted from the product , the result is a square , then another square also ...
... Lemma to VI . 15 thus , though only for the case in which C is negative : " Given two numbers , if , when one is multiplied by some square and the other is subtracted from the product , the result is a square , then another square also ...
Página 192
... Lemma to the next problem . To find two numbers indeterminately such that their product together with their sum is a ... Lemma to IV . 36 ) , " If we make the second " ( literally " put the second at " ) " any s whatever . " But ...
... Lemma to the next problem . To find two numbers indeterminately such that their product together with their sum is a ... Lemma to IV . 36 ) , " If we make the second " ( literally " put the second at " ) " any s whatever . " But ...
Página 233
... Lemma II to the following problem . Given two numbers the sum of which is a square , an infinite number of squares can be found such that , when the square is multi- plied by one of the given numbers and the product is added to the ...
... Lemma II to the following problem . Given two numbers the sum of which is a square , an infinite number of squares can be found such that , when the square is multi- plied by one of the given numbers and the product is added to the ...
Índice
CHAP | 1 |
The MSS of and writers on Diophantus | 14 |
3253 | 32 |
Página de créditos | |
Otras 12 secciones no se muestran.
Otras ediciones - Ver todo
Diophantus of Alexandria: A Study in the History of Greek Algebra Thomas L. Heath Vista previa restringida - 1910 |
Términos y frases comunes
absolute term added Algebra Arithmetica Assume auxiliary triangle Ax² Bachet Books coefficient cube difference differential equations Dioph Diophantus divide double-equation equal Euler expression factors Fermat find a right-angled find three numbers find two numbers formula four numbers fraction functions geometry given number given ratio gives a square Greek hypotenuse Iamblichus indeterminate indeterminate equations Index integral Konrad Knopp Lagrange Lemma letter linear mathematics method minus multiplied Nesselmann obtain Oeuvres de Fermat Paperbound perpendicular polygonal number Porisms prime number problem propositions quadratic rational numbers required numbers required squares right-angled triangle satisfy the conditions sides solution solved square number substitute subtract Suppose symbol Tannery theorem theory third number triple-equation whence whole numbers Xylander