directrix

eccentricity

Locus

A = (-1.66, -0.4)
B = (12.18, -0.52)
a = Line(A, B)
C = (2.24, 0.14)
e = 1 (slider from 0 to 5, step 0.01)
f = OrthogonalLine(A, a)
G = Point(f)
g = Segment(G, A)
h = Line(G, a)
k = Circle(C, (e * g))
H = Intersect(k, h, 1)
I = Intersect(k, h, 2)
loc1 = Locus(H, G)
loc2 = Locus(I, G)
b = false