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

accordingly added Algebra applications Arithmetica Assume assumption becomes beginning Books coefficient common complete containing corresponding course cube determinate difference differential Diophantus divide double-equation edition equal equation Euler examples expression fact factors Fermat find three numbers formula four fourth fraction functions geometry given number given ratio gives a square greater Greek half Hence hypotenuse Index integral introduction least Lemma less letter mathematics means method middle minus multiplied namely nature necessary negative observes obtain original pair Paperbound particular perpendicular positive possible prime number problem proof propositions proved ratio remains respectively result right-angled triangle root rule satisfied shows sides solution solved square number substitute subtract Suppose symbol taken Tannery theorem theory third three squares translation unknown whence