https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 7.5.1: S. 198
www.kurven-erkunden-und-verstehen.de

Ha 2016

Spur

ziehe Q

A = (0, 0)
e = 3 (slider from 0 to 5, step 0.1)
a = 4
f = 1
r_1(x) = (a^(2) - e^(2)) / (a - (e * cos(x)))
b = CurveCartesian((r_1(t) * cos(t)), (r_1(t) * sin(t)), t, 0, (2 * π))
d: ((10 - x) * ((f * y))^(2)) = ((x + 2) * (x - 4)^(2))
c: 1 / f
g: x^(2) + y^(2) = (4 * a^(2))
Q = Point(g)
j = Line(A, Q)
F: ((2 * e), 0)
h = LineBisector(Q, F)
P = Intersect(j, h)
Ortslinie1 = Locus(P, Q)
r = Segment(A, P)
r' = Segment(P, F)
l = Segment(Q, F)
p: (x - e)^(2) / a^(2) + y^(2) / (a^(2) - e^(2)) = 1
i = OrthogonalLine(P, h)
B = Point(i)
k = Segment(P, B)
m = false
rs: r
rs': r'
n = false