Lineare Abbildungen Symmetrisch
Author: Prof. Dr. Dörte Haftendorn

Die Koeffizienten von A können beliebig  geändert werden. Aber A muss symmetrisch sein.

O = Intersect(xAxis, yAxis)
B = Point(xAxis)
c = Circle(O, B)
P = Point(c)
a11 = 1.5
a21 = 0.5
a12 = 0.5
a22 = 0.75
x': a11 * x(P) + a12 * y(P)
y': a21 * x(P) + a22 * y(P)
C = Point(c)
E2': (a12, a22)
E2'': -(E2')
E1': (a11, a21)
E1'': -(E1')
W': (a11 + a12, a21 + a22) / sqrt(2.0)
d = Conic(E1'', E2', W', E1', E2'')
F_1, F_2 = Focus(d)
a = Line(F_2, F_1)
H_1 = Intersect(d, a, 1.0)
b = OrthogonalLine(O, a)
G_1, G_2 = Intersect(d, b)
EV_1 = (1, 0.5)
EV_2 = (0.5, -1)
W = (0.7071067811865475, 0.7071067811865475)
P': (x', y')
H_2 = Intersect(d, a, 2.0)