Pascalsche Schnecke, ihre Inverse: Hyperbel
Author: Haftendorn
Date: März 06

Pascalsche Schnecke 

ihre Inverse: eine Hyperbel

Ha März 06

k = 0.5 (slider from -5 to 5, step 0.1)
t = 5.53 (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_b: (abs(r) cos(t), abs(r) sin(t))
r_b = Segment(O, P_b)