Lua Circle Intersection

P0 = {
X =     5,
Y = -15,
R = 5
}

P1 = {
X =     6,
Y = -13,
R = 5
}

Distance = math.sqrt((P1.X-P0.X)^2+(P1.Y-P0.Y)^2);

A = (P0.R^2 - P1.R^2 + Distance^2)/(2*Distance);
B = Distance-A;
H = math.sqrt(P0.R^2-A^2);

dirToP1X = (P1.X-P0.X)/Distance;
dirToP1Y = (P1.Y-P0.Y)/Distance;

P2 = {
X = P0.X+(A*dirToP1X);
Y = P0.Y+(A*dirToP1Y);
}

dirToP3X = (P1.Y-P0.Y)/Distance;
dirToP3Y = -1*(P1.X-P0.X)/Distance;

P3 = {
    X = P2.X+H*dirToP3X;
    Y = P2.Y+H*dirToP3Y;
}
P4 = {
    X = P2.X-H*dirToP3X;
    Y = P2.Y-H*dirToP3Y;
}

print(P4.X.." , "..P4.Y);
print(P3.X.." , "..P3.Y);