https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 4.4.2.1:Abb.4.28 a) S.117
afg4.8a afg4.8 b S. 118
www.kurven-erkunden-und-verstehen.de

Ha 2017

Gerono 1 als Parabelmitten

Gerono 2, afg4.8a)

Gerono 3 afg4.8 b)

O = (0, 0)
a = 4
k = 0.1
q: ((2 * a) * y) = (-x^(2)) + a^(2)
r: ((2 * a) * y) = x^(2) - a^(2)
Q = Point(q)
g = OrthogonalLine(Q, yAxis)
E_2, E_1 = Intersect(r, g)
P' = Midpoint(E_2, Q)
P = Midpoint(Q, E_1)
b = false
A: (a, 0)
f = OrthogonalLine(A, xAxis)
c = Circle(O, A)
B = Point(f)
h = Line(O, B)
i = OrthogonalLine(B, f)
C, D = Intersect(c, i)
j = OrthogonalLine(D, xAxis)
l = OrthogonalLine(C, xAxis)
G_p = Intersect(l, h)
G'_p = Intersect(j, h)
ort48b = Locus(G_p, B)
ort48b' = Locus(G'_p, B)
u = Vector(B, C)
v = Vector(C, G_p)
w = Vector(B, D)
d = Vector(D, G'_p)
E = Focus(q)
M = Midpoint(O, A)
e = Circle(M, A)
G = Point(e)
m = Ray(O, G)
H = Intersect(c, m)
n = OrthogonalLine(H, xAxis)
p = OrthogonalLine(G, n)
I_p = Intersect(p, n)
J = Intersect(e, m, 1)
o = false
s = true
t = false
u_1 = Vector(G, I_p)
ort428a_1 = Locus(P, Q)
ort428a = Locus(P', Q)
ort48a' = Locus(I_p, G)
I'_p = Mirror(I_p, O)
Ort48a = Locus(I'_p, G)
v_1 = Vector(H, I_p)