Ellipse Construction 3
Author: M. Dabbs, R. Walcott

Drag the generator point G.  Move points A, B, C, O, X' and Y'

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(a, b)

A = (5.84, 2.12)
C = (9.52, 3.48)
c = Circle(A, C)
B = (7.34, 2.9)
d = Circle(A, B)
G = Point(d)
a = Line(G, A)
E = Intersect(c, a, 2.0)
O = (0.52, 5.76)
Y' = (6.58, 7.86)
e = Line(O, Y')
X' = (-0.26, -0.66)
f = Line(O, X')
α = 2.129301687433082 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
β = 1.8151424220741028 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
g = Line(G, f)
b = Line(G, E)
h = Line(E, e)
g' = Rotate(g, -1.0 * β, G)
I = Intersect(f, g')
G' = Rotate(G, β, I)
γ = Angle(G, I, G')
h' = Rotate(h, -1.0 * α, E)
J = Intersect(e, h')
E' = Rotate(E, α, J)
δ = Angle(E, J, E')
K = Intersect(d, b, 2.0)
i = Segment(G, K)
j = Segment(G, E)
L = Intersect(g', h')
loc1 = Locus(L, G)
ε = Angle(f, e)