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

accordingly added Algebra angles arithmeticae Assume assumption becomes beginning Books coefficient common condition contained corresponding course cube difference Diophantus divide double double-equation equal equation Euler example expression fact factors Fermat find a right-angled find three numbers find two numbers formula four fourth fraction given number given ratio gives a square greater greatest Greek half Hence hypotenuse integral least Lemma less lesser letter means method middle minus multiplied namely necessary negative observes obtain Oeuvres original pair particular perpendicular polygonal positive possible powers prime number problem proof proposition proved remains required numbers respectively result right-angled triangle root rule satisfied satisfy the conditions shows sides smaller solution solved square number substitute subtract Suppose taken Tannery theorem third three squares unknown whence whole