Ha 06

Kardioide und ihr Inverses

in polar-kartesisch-Koppelung

k = 1 (slider from -5 to 5, step 0.1)
t = 4.08 (slider from 0 to 6.283185307179586, step 0.01)
F: (t, 0)
d = Circle(F, 1)
r: cos(t) + k
Q: (t, r)
g = Line(Q, F)
e = Polar(Q, d)
O = (0, 0)
P: (r cos(t), r sin(t))
h = Line(P, O)
b = Segment(P, O)
c = Circle(O, 1)
a = Segment(Q, F)
f = Polar(P, c)
P' = Intersect(f, h)
Q' = Intersect(e, g)
p = Circle((0.5, 0), 0.5)