Parabelreflexion führt zur Leitgeraden
Author: Prof. Dr. Dörte Haftendorn

Ha 08

erste Spiegelung von F

zweite Spiegelung von F

f(x) = 0.2 x^(2)
A = Point(f)
B = Point(f)
C = Point(f)
P = Point(f)
a = Line(A, yAxis)
b = Line(B, yAxis)
c = Line(P, b)
d = Line(C, c)
E = Point(a)
F_1 = Point(b)
G = Point(c)
H = Point(d)
e = Ray(B, F_1)
g = Ray(P, G)
h = Ray(C, H)
i = Ray(A, E)
j = Tangent(P, f)
k = OrthogonalLine(P, j)
D' = Mirror(P, k)
G' = Mirror(G, k)
l = Ray(D', G')
I, J = Intersect(f, l)
m = Tangent(I, f)
n = OrthogonalLine(I, m)
p = Ray(I, P)
I' = Mirror(I, n)
D'_1 = Mirror(P, n)
q = Ray(I', D'_1)
r = Segment(I, P)
F = Intersect(r, yAxis)
K = Mirror(F, j)
L = Mirror(F, m)
s = Segment(P, K)
t = Segment(I, L)
a1 = Segment(F, P)
b1 = Segment(F, I)
o = false
u = false