∠CPB = ∠APC

∠CQB = ∠AQC

A = Intersect(xAxis, yAxis)
B = Point(xAxis)
C = (3.5296, 3.6602)
t1, c, a, b = Polygon(A, B, C)
α = 0 rad (slider from 0 to 360°)
f = LineBisector(A, C)
C' = Rotate(C, 90° - α / 2, A)
g = Line(A, C')
D = Intersect(f, g)
d = Circle(D, A)
C_1 = Rotate(C, -90° + α / 2, B)
h = LineBisector(B, C)
i = Line(B, C_1)
E = Intersect(h, i)
e = Circle(E, C)
F, G = Intersect(d, e)
loc1 = Locus(F, α)
loc2 = Locus(G, α)
P = Point(loc1)
β = Angle(C, P, B)
γ = Angle(A, P, C)
Q = Point(loc2)
j = Line(B, A)
δ = Angle(B, Q, C)
ε = Angle(C, Q, A)