https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 5.1.4  S. 139
www.kurven-erkunden-und-verstehen.de

Ha 2017

Gefangenes Zweiblatt

Parabel

w = 1
g_w: y = w
p = 1.114074074074079 (slider from -5 to 5, step 0.1)
q = 1.238518518518523 (slider from -5 to 5, step 0.1)
A: (p, q)
O = (0, 0)
M = Midpoint(O, A)
c = Circle(M, O)
Q = Point(c)
aq = Line(A, Q)
E = Intersect(aq, g_w)
oe = Line(O, E)
oq = Line(Q, O)
h = OrthogonalLine(Q, oe)
P = Intersect(oe, h)
Ortslinie1 = Locus(P, Q)
α = Angle(E, P, Q)
β = Angle(Q, P, E)
d = Segment(O, Q)
a = false
f(x) = w - x^(2) / ((4 * w))
b = false