// This method is wrong, but yields an OK approximation.
public Coordinates move(Coordinates start, Vector direction, double distance) {
Vector v = new Vector(direction);
v.normalize();
v.scale(distance);
Coordinates retval = new Coordinates(start.u, start.v);
retval.u += v.components[0];
retval.v += v.components[1];
return retval;
}
