$f(x) = k\cdot x^2$

γ

γ

x_0

einfallender Strahl

Mini-Spiegel

reflektierter Strahl

Brennpunkt

$f(x) = kx^2$

Punkt auf dem Spiegel

k = 1 (slider from 0 to 5, step 0.1)
f(x) = (k * x^(2))
P = Point(f)
x0: x(P)
y0: y(P)
eStrahl = Segment(P, (x0, 10))
F: (0, 1 / ((4 * k)))
rStrahl = Segment(P, F)
t = Tangent(P, f)
t0(x) = (f'(x0) * (x - x0)) + f(x0)
γ = Angle(t, eStrahl)
g(x) = (Slope[rStrahl] * (x - x0)) + f(x0)
β = Angle(F, P, (0, t(0)))
gl1: x = x0
δ = Angle((0, t(0)), P, (x0, 0))
X: (x0, 0)
A, B = Intersect(k, t)
h = Segment(A, B)
a = true
b = true
c = true
d = true
e = true
i = true