https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 4.4.2.1, Aufgabe 4.8: S. 118

Ha 2018

\frac{x^2}{a^2}+\frac{b^2y^2}{a^4}=1

Kurve zeigen

Bild

Ziehe Q!

b: 2
a = 2.999999999999999
k: a^(2) / b
c: x^(2) / a^(2) + y^(2) / k^(2) = 1
u: x = a
Q = Point(u)
d = OrthogonalLine(Q, yAxis)
A: (a, 0)
O = Intersect(xAxis, yAxis)
e = Line(O, Q)
E, E' = Intersect(c, d)
f = OrthogonalLine(E, xAxis)
P = Intersect(f, e)
Ortslinie1 = Locus(P, Q)
h = Segment(Q, E)
i = Segment(E, P)
l = false
g = Segment(E', E)
P' = Mirror(P, O)
Ortslinie2 = Locus(P', Q)
j = Segment(E', P')
m = Segment(E, O)
n(x, y) = x / a^(2) + (2 * ((b * y^(2))) / a^(4))
p: ((x - a / 2)^(2) * 4 / a^(2)) + y^(2) / (a^(4) / ((4 * b^(2)))) = 1
o = false
B: (-3.30148, -3.25)
C: (3.25852, -3.25)
q = false