Conway postulated that the Steiner-Lehmus theorem is unprovable using direct methods of proof. Can this be proven directly, that the Steiner-Lehmus theorem cannot be proven directly over Euclidean postulates?

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`$(c-a)\{ ac^2 + (a^2+3ab+b^2)c + b^2(a+b)\} = 0$`

. – François G. Dorais♦ Jul 6 '10 at 2:58