2a

2b

https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 7.7.2: Aufgabe 7.9 b) S.218
www.kurven-erkunden-und-verstehen.de

Ha 2016

Ortslinien

Kurve

Kreuz

a: 1
b: 2
f: x = b
g: x = (-b)
h: y = a
i: y = (-a)
r = 3.6 (slider from -5 to 5, step 0.01)
O = Intersect(xAxis, yAxis)
c = Circle(O, r)
B, C = Intersect(c, h)
D, E = Intersect(c, i)
F, G = Intersect(c, g)
H, I = Intersect(c, f)
j = Segment(B, D)
k = Segment(G, I)
m = OrthogonalLine(D, i)
n = OrthogonalLine(G, g)
P = Intersect(m, n)
P' = Mirror(P, yAxis)
P'_1 = Mirror(P, xAxis)
P'' = Mirror(P', xAxis)
l = false
o = false
q: y = x
t: y = (-x)
Q: (r, 0)
d(y) = (-a)  <  y  <  a
e(x) = (-b)  <  x  <  b
p: x^(2) - y^(2) = b^(2) - a^(2)
s = Line(P'', P')
f_1 = Line(P'_1, P'')
u = false
v = false