In "Eléments" Legendre gave a simple proof that π is irrational, as well as the first proof that π2 is irrational, and conjectured that π is not the root of any algebraic equation of finite degree with rational coefficients.
Sa "mga elemento" Legendre ibinigay ng isang simpleng patunay na π ay hindi makatwiran, pati na rin ang unang patunay na π 2 ay hindi makatwiran, at conjectured na π na ito ay hindi ang ugat ng anumang algebraic equation ng wakas degree na may katuwiran coefficients.