Ha 2018

Lissajous- Kurve
in Parameterdarstellung

x(t)= a\; sin(t) 

y(t)=\frac{a^2}{2b}\;sin(2\,t)

Ortskurve

BMG-Lemniskate, explizit

b: 2
a: 3
f(x) = (a * sin(x))
g(x) = (a^(2) / ((2 * b)) * sin((2 * x)))
h: y = x
f_1 = Mirror(f, h)
t = 2 (slider from -5 to 10, step 0.1)
P_x: (f(t), t)
P_y: (t, g(t))
P: (f(t), g(t))
i = Segment(P, P_y)
j = Segment(P, P_x)
Ortslinie1 = Locus(P, t)
l = Segment((0, 0), (t, 0))
m = Segment((0, 0), (0, t))
c: (b^(2) * y^(2)) = (a^(2) * x^(2)) - x^(4)
d = false
e = false