Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
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Página 39
... subtraction , For the former no symbol at all is used : it is expressed by mere juxtaposition , thus Kā yē corresponds to x + 13x2 + 5x . In this expression , however , there is no absolute term , and the addition of a simple numeral ...
... subtraction , For the former no symbol at all is used : it is expressed by mere juxtaposition , thus Kā yē corresponds to x + 13x2 + 5x . In this expression , however , there is no absolute term , and the addition of a simple numeral ...
Página 41
... subtraction Diophantus uses a symbol . His full term for negation or wanting is λείψις , corresponding to ὕπαρξις which denotes the opposite . The symbol used to denote it in the MSS . , and corresponding to our - for minus , is ( Def ...
... subtraction Diophantus uses a symbol . His full term for negation or wanting is λείψις , corresponding to ὕπαρξις which denotes the opposite . The symbol used to denote it in the MSS . , and corresponding to our - for minus , is ( Def ...
Página 43
... subtraction which might occur in the works of other Greek mathematicians . In the MSS . of Diophantus , when the ... subtracted , the meaning then being " with the wanting , or deduction , of ... " . But the best MS . ( A ) 1 Dioph ...
... subtraction which might occur in the works of other Greek mathematicians . In the MSS . of Diophantus , when the ... subtracted , the meaning then being " with the wanting , or deduction , of ... " . But the best MS . ( A ) 1 Dioph ...
Página 44
... subtracted . From all this we may infer that the sign had no exclusive reference to the sub- stantive λεῖψις , still less to the dative case of that substantive , but was a conventional abbreviation associated with the root of the verb ...
... subtracted . From all this we may infer that the sign had no exclusive reference to the sub- stantive λεῖψις , still less to the dative case of that substantive , but was a conventional abbreviation associated with the root of the verb ...
Página 48
... Subtracting , 2x = 8 . μερ . Δα ομοδ sā μοβ Dividing , x2 = 4 . Adding , 2x2 + 200 = 208 . which have no intrinsic relationship to the things which they. x = 2 . ὅπ . μοιβ μοη Result : [ the numbers are ] 12 , 8 . therefore x2 + 10x = 39 ...
... Subtracting , 2x = 8 . μερ . Δα ομοδ sā μοβ Dividing , x2 = 4 . Adding , 2x2 + 200 = 208 . which have no intrinsic relationship to the things which they. x = 2 . ὅπ . μοιβ μοη Result : [ the numbers are ] 12 , 8 . therefore x2 + 10x = 39 ...
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
a²-b² absolute term added Algebra Archimedes arithm Arithmetica Assume assumption auxiliary triangle Ax² 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 form 4n fraction Frénicle given number given ratio gives a square Greek hypotenuse Iamblichus indeterminate equations infinite number integral Lagrange Lemma letter Maximus Planudes method minus multiplied Nesselmann obtain Oeuvres de Fermat pair polygonal number Porisms prime number problem proposition quadratic rational numbers required numbers required squares required triangle result 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 ἀριθμός καὶ