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let us now describe the Cod tangent process of adding points on elliptic curves so say we are given an elliptic curve e and we given two points P1 and P2 on it and we want to add these two points so if these points are not equal then you draw a line through these two points and this line will cut the curve at a third Point Q now this is guaranteed by the bazoamp;#39;s theorem so bazoamp;#39;s theorem says that there if there are two curves and one curve has degree M so this curve is defined by a polinomial so one curve has degree M and the other curve has degree n then these two curves will intersect at exactly M * n points so here the line has degree 1 and we know elliptic curve has degree 3 so by bazoamp;#39;s theorem we know 3 * 1 is 3 so the line and the Curve will intersect at three points so once it intersects at the third point which you denote as Q you draw a vertical line through Q so this line will hit the curve at some point and the point where it hits that is the point w
