Complex Multiplication

Select Points at O(0, 0), P(0, -1), A and B for A*B

Complex Division

Select Points O(0, 0), P(0, -1), A and B for A/B

A/B

Complex Addition

Select Points O(0, 0), A and B for A + B

A + B

Complex Subtraction

Select Points O(0, 0), A and B for A - B

A - B

c = Circle(O, A)
d = Circle(O, B)
D = Intersect(c, xAxis, 2.0)
b = Segment(O, A)
f = Segment(O, B)
G = Intersect(d, xAxis, 1.0)
g = Circle(D, P, G)
E = Intersect(g, yAxis, 2.0)
e = Circle(O, E)
a, h = AngularBisector(f, b)
D' = Mirror(D, a)
i = Ray(O, D')
AB = Intersect(e, i, 1.0)
j = Segment(O, AB)
c = Circle(O, A)
d = Circle(O, B)
D = Intersect(c, xAxis, 2.0)
e = AngularBisector(A, O, D)
B' = Mirror(B, e)
f = Ray(O, B')
E = Intersect(c, yAxis, 1.0)
F = Intersect(d, xAxis, 1.0)
g = Segment(F, E)
G = Midpoint(g)
h = OrthogonalLine(G, g)
i = Segment(P, F)
H = Midpoint(i)
j = OrthogonalLine(H, i)
I = Intersect(h, j)
k = Circle(I, F)
J = Intersect(k, xAxis, 2.0)
p = Circle(O, J)
C = Intersect(p, f)
l = Segment(O, C)
u = Vector(O, B)
C' = Translate(A, u)
c = Segment(O, C')
u = Vector(B, O)
A' = Translate(A, u)
A' = Translate(A, u)
c = Segment(O, A')