5 Punkte

Mitte und Vektor

Brennpunkte von c'

Hyperbel

Bild

c'

Funktion

Asy konstr.

Ebert-Halle in Friesenheim (LU)
Foto: Immanuel Giel 2005

Urbild

Hyperbel c

Achse c'

Gleichung c

y = \frac{0.01}{x}+0.31 \; x

O: (0, 0)
G = (-0.07259259259259325, 1.519259259259262)
F = (0.6029629629629629, 0.82)
E = (0.9525925925925929, 0.41111111111110943)
D = (0.6681481481481482, 0.10888888888888597)
C = (-0.14370370370370444, -0.3237037037037084)
c = Conic(C, D, E, F, G)
M = Center(c)
K_2: (1.75111, 0)
u = Vector(M, O)
c' = Translate(c, u)
F'_1, F'_2 = Focus(c')
f' = Line(F'_1, F'_2)
K_1 = Point(f')
α = Angle(K_1, O, K_2)
c'' = Rotate(c', α, O)
F''_1, F''_2 = Focus(c'')
S_1, S_2, R, S = Vertex(c'')
g = OrthogonalLine(S_1, xAxis)
d = Circle(O, F''_2)
B_2, B_b = Intersect(d, g)
h = Line(O, B_b)
h' = Mirror(h, yAxis)
e_1 = true
i = true
f = false
j = false
k = true
l = true
n = true
o = true
p = false
V = Point(yAxis)
β = Angle(B_b, O, V)
c''' = Rotate(c'', β, O)
h'' = Rotate(h', β, O)
A = (-0.52815, -1.9)
B = (7.40074, -1.9)
m = false
q = true
Text4: "" + (LaTeX[c]) + ""
r = true
Text1: "" + (LaTeX[c'']) + ""
Text2: "" + (LaTeX[c''']) + ""
d1, a, b, e = Polygon(O, S_1, B_b)