θ

α

α

\frac{\alpha}{2}

https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 6.4.1: S. 172
www.kurven-erkunden-und-verstehen.de

Ha 2016

Strophoide von Freeth

a: 2
A: (a, 0)
O: (0, 0)
c = Circle(O, A)
r(x) = a + ((2 * a) * sin(x / 2))
Q = Point(c)
d = Circle(Q, A)
f = Line(Q, O)
P, P' = Intersect(d, f)
Ortslinie1 = Locus(P, Q)
Ortslinie2 = Locus(P', Q)
g = Segment(Q, A)
h = Segment(P, Q)
θ = Angle(A, O, P)
i = LineBisector(O, A)
j = Segment(P', A)
k = Segment(P, A)
α = Angle(P', Q, A)
b = CurveCartesian((r(t) * cos(t)), (r(t) * sin(t)), t, 0, (2 * π))
β = Angle(P, A, O)
γ = Angle(Q, A, O)
δ = Angle(O, P, A)
Vieleck1, l, m, n, p, q, s, t, B, C, D, E, F = Polygon(P', A, 7)
e = Segment(O, A)
f_1 = Segment(O, Q)
o = false