 Carl Gustav Jacob Jacobi discovered the connection between the quadrature rule and the orthogonal family of Legendre polynomials.As there is no closed-form formula for the quadrature weights and nodes, for many decades people were only able to use hand-compute them for small "n", and computing the quadrature had to be done by referencing tables containing the weight and node values.By 1942 these values were only known for up to "n"=16.