\frac{k}{2}

\frac{k}{8}

\frac{k}{8}

\frac{h}{2}

h

h

Ha Dez 07

https://www.geogebra.org/haftendorn
Haftendorn, Buch (Springer):
Kurven erkunden und verstehen
Kap 6.7: S. 180
www.kurven-erkunden-und-verstehen.de

Ha 2016

f(x) = (1 / 8 * x^(2))
A = Point(f)
B = Point(f)
a = Segment(A, B)
C = Midpoint(B, A)
b = OrthogonalLine(C, xAxis)
M = Intersect(f, b)
c = Line(M, a)
poly1, a_1, b_1, d = Polygon(B, M, A)
E = Midpoint(b_1)
e = OrthogonalLine(A, xAxis)
g = OrthogonalLine(E, xAxis)
F = Intersect(g, c)
G = Intersect(e, c)
h = Segment(A, F)
D = Midpoint(M, F)
H = Midpoint(F, G)
i = Line(D, g)
j = Line(H, e)
I = Intersect(f, g)
k = Line(I, D)
J = Intersect(j, h)
poly2, a_2, m, i_1 = Polygon(M, I, A)
l = Line(B, b)
n = OrthogonalLine(A, b)
K = Point(b)
p = OrthogonalLine(K, i)
L = Intersect(l, c)
N = Midpoint(L, M)
q = Segment(B, N)
O = Midpoint(N, M)
P = Midpoint(N, L)
Q = Midpoint(B, N)
r = Segment(Q, O)
poly3, b_2, l_1, n_1 = Polygon(L, N, B)
poly4, o, n_2, q_1 = Polygon(N, Q, O)
s = Segment(Q, P)
t = OrthogonalLine(N, n)
R = Intersect(f, t, 1)
a1 = Segment(R, N)
poly5, m_1, b_3, r_1 = Polygon(B, R, M)
poly6, a_3, f_1, g_1 = Polygon(F, G, A)
poly7, j_1, d_1, f_2 = Polygon(D, F, J)
S = Intersect(l, n)
h_1 = Segment(S, A)
k_1 = Segment(C, M)
p_1 = Segment(J, H)
s_1 = Segment(I, F)
u = false