Diophantus of Alexandria: A Study in the History of Greek Algebra

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