Fadenbild-Parabel

Klick auf Regler ermöglicht Variation des Öffnungswinkels. Naviagation mit Pfeiltasten.

Fadengrafik: Die "Fäden" umhüllen eine Parabel. 
Wählt man den Abstand von Punkt zu Punkt kleiner, nähert sich das Hüllgebilde der roten Parabel. Diese ist mit Leitlinie und Brennpunkt sichtbar gemacht.

Öffnungswinkel 
verstellen

o = 1 (slider from 0 to 5, step 0.1)
b: 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 y = -1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * o * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 x - 10.0
A = Intersect(b, c_1)
B = Intersect(b, b_1)
C = Intersect(b, a_1)
D = Intersect(b, t)
E = Intersect(b, s)
F = Intersect(b, r)
G = Intersect(b, q)
H = Intersect(b, p)
I = Intersect(b, n)
J = Intersect(b, m)
L = Intersect(b, k)
M = Intersect(b, j)
N = Intersect(b, i)
O = Intersect(b, h)
P = Intersect(b, g)
Q = Intersect(b, f)
R = Intersect(b, e)
S = Intersect(b, d)
T = Intersect(b, c)
U = Point(yAxis)
a: 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 y = o * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 x - 10.0
V = Intersect(a, c)
W = Intersect(a, d)
Z = Intersect(a, e)
A_1 = Intersect(a, f)
B_1 = Intersect(a, g)
C_1 = Intersect(a, h)
D_1 = Intersect(a, i)
E_1 = Intersect(a, j)
F_1 = Intersect(a, k)
H_1 = Intersect(a, m)
I_1 = Intersect(a, n)
J_1 = Intersect(a, p)
K_1 = Intersect(a, q)
L_1 = Intersect(a, r)
M_1 = Intersect(a, s)
N_1 = Intersect(a, t)
O_1 = Intersect(a, a_1)
P_1 = Intersect(a, b_1)
Q_1 = Intersect(a, c_1)
d_1 = Segment(A, V)
e_1 = Segment(B, W)
f_1 = Segment(C, Z)
g_1 = Segment(D, A_1)
h_1 = Segment(E, B_1)
i_1 = Segment(F, C_1)
j_1 = Segment(G, D_1)
k_1 = Segment(H, E_1)
l_1 = Segment(I, F_1)
p_1 = Segment(L, I_1)
q_1 = Segment(M, J_1)
r_1 = Segment(N, K_1)
s_1 = Segment(O, L_1)
t_1 = Segment(P, M_1)
a_2 = Segment(Q, N_1)
b_2 = Segment(R, O_1)
c_2 = Segment(S, P_1)
d_2 = Segment(T, Q_1)
K = Midpoint(J, L)
G_1 = Midpoint(H_1, F_1)
m_1 = Segment(K, H_1)
n_1 = Segment(J, G_1)
R_1 = (3.349551856594119, -10.229891747177282)
S_1 = (-3.0806658130601705, -10.229891747177282)
Vieleck1, e_2, f_2, g_2, u_1, T_1, U_1 = Polygon(R_1, S_1, 4.0)
W_1 = (0, NaN)
Z_1: (0.0, -1.0 * 1.0 * 10.0 / o^(2.0))
i_2 = Line(Z_1, h_2)
V_1: (0.0, 10.0 / o^(2.0))
k_2 = Parabola(V_1, i_2)
p_2: 1.0 y = o^(2.0) / 40.0 * 1.0 x^(2.0)