b

b

2c

a=4, b=4, c=2

(a,0)

(-a,0)

https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 4.4.6.2: S. 127

Ha 2016

a = 4
b = 4
c = 2
A: (a, 0)
A' = Mirror(A, yAxis)
d_1 = Circle(A, b)
e = Circle(A', b)
Q = Point(d_1)
f = Circle(Q, (2 * c))
B, C = Intersect(e, f)
g = Segment(A', B)
h = Segment(A, Q)
i = Segment(Q, B)
P_1 = Midpoint(i)
Ortslinie3 = Locus(P_1, Q)
falsch: ((x^(2) + y^(2)) * (x^(2) + y^(2) + c^(2) - a^(2) - b^(2))^(2)) + (((4 * a^(2)) * x^(2)) * (x^(2) + y^(2) + c^(2) - a^(2) - b^(2))) = 0
d: sqrt(a^(2) + b^(2) - c^(2))
I = (8.5, -3.5)
watt: ((x^(2) + y^(2)) * (a^(4) + (c^(2) - b^(2) + x^(2) + y^(2))^(2) - ((2 * a^(2)) * (c^(2) + x^(2) - y^(2))))) + (((2 * a^(2)) * b^(2)) * (x^(2) - y^(2))) = 0
yo: sqrt(b^(2) - (a + c)^(2))
k = Segment(C, Q)
P_2 = Midpoint(k)
Ortslinie1 = Locus(P_2, Q)
j = Segment(A', C)
p = CircleArc(Q, B, C)
l = false