https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 8.3.3: S. 249
www.kurven-erkunden-und-verstehen.de

Ha 2016

Grafik 2 & CAS
ansehen

p = 2 (slider from -5 to 5, step 0.1)
f(x) = (1 / ((2 * p)) * x^(2))
c: y = (1 / ((2 * p)) * x^(2))
Q = Point(c)
F = Focus(c)
g = OrthogonalLine(Q, xAxis)
C = Intersect(g, xAxis)
F' = Mirror(F, xAxis)
h = OrthogonalLine(F', yAxis)
F_L = Intersect(g, h)
i = LineBisector(F_L, F)
j = Segment(F, F_L)
A = Intersect(i, j)
d = Circle(Q, abs(s(x(Q))))
D, E = Intersect(d, i)
Ortslinie1 = Locus(E, Q)
Ortslinie2 = Locus(D, Q)
k = OrthogonalLine(E, i)
l = Segment(F, Q)
α = Angle(F, Q, A)
β = Angle(F, F_L, F')
Q': (s(x(Q)), 0)
m = Segment(A, E)
n = Segment(F, A)
P: (m, n)
P' = Mirror(P, xAxis)
e = Semicircle(P', P)
q = Circle(P, p)
H = Intersect(e, q)
r = Line(H, P')
t = Parabola(P, r)
Ortslinie3 = Locus(P, Q)
P'_1 = Mirror(P, yAxis)
Ortslinie4 = Locus(P'_1, Q)
f_1(x) = cosh(x)
Vieleck1, f_2, f', b = Polygon(F', F_L, F)
Vieleck2, p', p_1, h_1 = Polygon(P, H, P')
S = Vertex(t)
B = Point(d)
I = Point(d)
d_1 = CircleArc(Q, B, I)
O: (0, 0)
a = Segment(O, Q')
g_1 = Segment(Q, E)
o = CurveCartesian(t, f(t), t, 0, x(Q))
i_1 = Line(S, p_1)
j_1 = Ray(H, P)
E' = Mirror(E, yAxis)
c_1 = 0
u = false