links der y-Achse

rechts der y-Achse

keine 
innere Nullstelle

Testpunkt

n = 2
k = 10
m = 0.5
g3: (m * x) + (n * y) = (-k)
e = 3
ga: x + y = (2 * e)
gb: x - y = (2 * e)
gc: (-x) + y = (2 * e)
ua(x, y) = x + y ≥ 6
ub(x, y) = x - y ≤ 6
uc(x, y) = (-x) + y ≤ 6
H1_1 = Point(gc)
Hi2 = Point(gb)
E_c: (0, (2 * e))
E_b: ((2 * e), 0)
gilt, e_c, e_b, h2, h1 = Polygon(E_c, E_b, Hi2, H1_1)
E_1: ((-e), 0)
E_2: (e, 0)
T = (2.9710416666666712, 5.71375)
kt1 = Circle(E_1, y(T))
kt2 = Circle(E_2, x(T))
Pts, Pt = Intersect(kt2, kt1)
wh: y = x
g0: (m * x) + (n * y) = k
H0 = Point(g0)
A = Intersect(g0, gc)
B = Intersect(g0, gb)
C = Intersect(g0, ga)
b = false
k01 = Circle(E_1, y(H0))
k02 = Circle(E_2, x(H0))
P, Ps = Intersect(k01, k02)
des0o = Locus(P, H0)
des0u = Locus(Ps, H0)
H3 = Point(g3)
k31 = Circle(E_1, y(H3))
k32 = Circle(E_2, x(H3))
Ss, S = Intersect(k32, k31)
des3o = Locus(S, H3)
des3u = Locus(Ss, H3)
ti = Segment(E_1, Pt)
tj = Segment(Pt, E_2)
test: (n * ti) + (m * tj)
Text4: "test=" + (LaTeX[n]) + "\cdot " + (LaTeX[ti]) + "+" + (LaTeX[m]) + " \cdot " + (LaTeX[tj]) + "=" + (LaTeX[test]) + ""
Liste1 = Sequence(k^(4) + ((e^(2) * (m^(2) - n^(2))) - (((2 * e) * (m^(2) + n^(2))) * x) + ((m^(2) - n^(2)) * (x^(2) + y^(2))))^(2) - ((2 * k^(2)) * ((e^(2) * (m^(2) + n^(2))) - (((2 * e) * (m^(2) - n^(2))) * x) + ((m^(2) + n^(2)) * (x^(2) + y^(2))))) = 0, m, -6, 6, 0.5)
a: k^(4) + ((e^(2) * (m^(2) - n^(2))) - (((2 * e) * (m^(2) + n^(2))) * x) + ((m^(2) - n^(2)) * (x^(2) + y^(2))))^(2) - ((2 * k^(2)) * ((e^(2) * (m^(2) + n^(2))) - (((2 * e) * (m^(2) - n^(2))) * x) + ((m^(2) + n^(2)) * (x^(2) + y^(2))))) = 0
g1: ((-m) * x) + (n * y) = k
g2: (m * x) - (n * y) = k
H1 = Point(g1)
k11 = Circle(E_1, y(H1))
k12 = Circle(E_2, x(H1))
P1, P1s = Intersect(k11, k12)
des1o = Locus(P1, H1)
des1u = Locus(P1s, H1)
Text5: "m=" + (LaTeX[m]) + ",\;n=" + (LaTeX[n]) + "\\k=" + (LaTeX[k]) + ",\;e=" + (LaTeX[e]) + ""
H2 = Point(g2)
k21 = Circle(E_1, y(H2))
k22 = Circle(E_2, x(H2))