Ordinate Systems for Quadratures Similar to Tchebycheff’s Ordinates

The author presents a geometrical interpretation of Tchebycheff’s rule for calculating quadratures and shows that other systems of ordinates can be chosen which will be as valid as Tchebycheff’s. A system of ordinates is proposed, the virtue of which lies in the fact that the longitudinal location of the center of gravity of the ship’s lines can be obtained with good accuracy without increasing the errors of area calculations.