Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page 5
... two arguments used by Nesselmann in support of his view one is grounded upon ... two persons called Isidoros in the two places are identical we have still to deter ... numbers which we find in a rather less perfect 1 Eucl . xv . 5. “ ἡ δὲ ...
... two arguments used by Nesselmann in support of his view one is grounded upon ... two persons called Isidoros in the two places are identical we have still to deter ... numbers which we find in a rather less perfect 1 Eucl . xv . 5. “ ἡ δὲ ...
Page 14
... find any statement by an earlier writer , which might have been the origin ... two changes , whereas the change of Aew into Aeo involves only one variation ... numbers , " as Nesselmann remarks , is not quite clear . be less likely than ...
... find any statement by an earlier writer , which might have been the origin ... two changes , whereas the change of Aew into Aeo involves only one variation ... numbers , " as Nesselmann remarks , is not quite clear . be less likely than ...
Page 35
... numbers , i.e. might include the Porisms and Polygonal Numbers as a part of ... find a value of the unknown , which will make two expressions containing it ... find the slightest hint in the extant Books of anything different or more ...
... numbers , i.e. might include the Porisms and Polygonal Numbers as a part of ... find a value of the unknown , which will make two expressions containing it ... find the slightest hint in the extant Books of anything different or more ...
Page 68
... numbers as well . This is probably owing to the fact that , while there are two words divaμis and Teтρȧywvos which ... find , for example , 1Q + 5N = 24 , corresponding to x2 + 5x = 24 . Thus these writers do in fact no more than copy ...
... numbers as well . This is probably owing to the fact that , while there are two words divaμis and Teтρȧywvos which ... find , for example , 1Q + 5N = 24 , corresponding to x2 + 5x = 24 . Thus these writers do in fact no more than copy ...
Page 75
... numbers occurring as numerator or denominator , namely , the insertion between the expressions denoting the numerator and denominator of the term ἐν μορίῳ or μορίου . Thus in vi . 13 we find ... two sides of an equation Diophantos uses .
... numbers occurring as numerator or denominator , namely , the insertion between the expressions denoting the numerator and denominator of the term ἐν μορίῳ or μορίου . Thus in vi . 13 we find ... two sides of an equation Diophantos uses .
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Common terms and phrases
abbreviation Abu'l-Wafa Algebra algebraists Alkarkhi Arabian Arithmetics Ax² Bachet Bombelli Cambridge University Press coefficients condition Cossali cube Demy 8vo difference Diophantos double-equation edition equal exceeds expression Fermat final sigma find a right-angled find three numbers find three squares find two numbers fraction given number given ratio gives Greek Hence hypotenuse Hypsikles indeterminate equations Maximus Planudes mentioned minus Mohammed ibn Mūsā multiplied Nesselmann Nikomachos notation Notes phantos Polygonal Numbers Porisms problem quadratic equations rational numbers Regiomontanus remark required number result right-angled triangle Rodet roots side solved square number St John's College subtract Suidas suppose symbol Tannery term Theon Theon of Alexandria theorems third tion translation treatise University of Cambridge unknown quantity whence words write Xylander δὲ εἰς ἐν καὶ τὰ τὸ τοῦ τῶν