Argand Plane
Representation of a complex number

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b = 3 (slider from -5 to 5, step 1)
a = 3 (slider from -5 to 5, step 1)
a_1: 3^(1 / 2)
O: (0, 0)
ani = 2.5 (slider from 0 to 7, step 0.1)
B_1: (a, 0)
B = Dilate(O, If[1 < ani < 2, 2 - ani, 0], B_1)
f = Segment(O, B)
C_1: (a, b)
C = Dilate(B, If[2 < ani < 3, 3 - ani, 0], C_1)
g = Segment(B, C)
c: f
d: g
P = Dilate(O, If[3 < ani < 4, 4 - ani, 0], C)
A = Midpoint(B, C)
D = Midpoint(O, B)
e = Distance(O, P)
h = Circle(O, 1)
E = Intersect(f, xAxis)
F = Intersect(f, xAxis)
G = Intersect(f, xAxis)
H = Intersect(h, f)
Q = Rotate(H, 60°, O)
α = Angle(H, O, Q)
H' = Rotate(H, If[4 < ani ≤ 5, (((ani - 4) * 120))°, 120°], Q)
i = Segment(O, H')
I = Intersect(h, i)
text5: "(" + (LaTeX[a]) + "," + (LaTeX[b]) + ")"
z_1: a + (ί * b)
text4: "z=" + (LaTeX[z_1]) + ""
text6: "a+ib =" + (LaTeX[z_1]) + ""
text1: "" + f + ""
J = Midpoint(C, B)
text3: "" + f + ""
text2: "" + g + ""
text8: "" + d + ""