$a$

$F$

$P_1$

$P_2$

$P_1(2a-\overline{FP_1})$

$P_1(2a-\overline{FP_1})$

$F_2$

$F_1$

A = (-2.4619001261943363, 5.415572381467462)
B = (9.2, 5.42)
a_1 = Ray(A, B)
C = Point(a_1)
a = Segment(A, C)
F = (4.42, 1.26)
P_1 = (6.379211414149223, 1.5983182672744611)
P_2 = (2.035439491102015, 0.6988503438151911)
c = Circle(P_1, 2 * a - Distance[F, P_1])
d = Circle(P_2, 2 * a - Distance[F, P_2])
F_2, F_1 = Intersect(c, d)
e = Ellipse(F, F_1, P_1)
f = Ellipse(F, F_2, P_1)