Mastering Blockchain - Second Edition

Point addition

Point addition is shown in the following diagram. This is a geometric representation of point addition on elliptic curves. In this method, a diagonal line is drawn through the curve that intersects the curve at two points P and Q, as shown in the diagram, which yields a third point between the curve and the line. This point is mirrored as P+Q, which represents the result of the addition as R.

This is shown as P+Q in the following diagram:

Point addition over R

The group operation denoted by the + sign for addition yields the following equation:

P + Q = R

In this case, two points are added to compute the coordinates of the third ...