r

Kreise

PQ

Kreis

Sechseck

D

Punkt D

r

r

r

r

r

r

r

r

r

r

r

gleichseitige Dreiecke

60°-Winkel

r

Radius

M

M, H und I

Dreieck HIK

Dreieck AMF

5 kongruente Dreiecke

weitere Hilfslinien

K

M = (-18, 2)
r_1 = 4 (slider from 0 to 5)
c = Circle(M, r_1)
D_2 = Point(c)
r = Segment(M, D_2)
d = Circle(D_2, r)
C, C_1 = Intersect(d, c)
e = Circle(C_1, r)
D, E_1 = Intersect(e, c)
f = Circle(E_1, r)
E, A = Intersect(f, c)
g = Circle(A, r)
F, B = Intersect(g, c)
h = Circle(B, r)
i = Segment(E_1, A)
j = Segment(A, B)
k = Segment(B, C)
l = Segment(C, D_2)
m = Segment(D_2, C_1)
n = Segment(C_1, E_1)
P = Midpoint(A, B)
Q = Midpoint(E_1, C_1)
p = Segment(Q, P)
q = Circle(C, r)
a = false
b = true
o = false
s = true
G = Intersect(c, r)
t = false
f_1 = Segment(M, E)
g_1 = Segment(M, F)
h_1 = Segment(M, A)
i_1 = Segment(M, B)
j_1 = Segment(M, C)
k_1 = Segment(D, E)
l_1 = Segment(E, F)
m_1 = Segment(F, A)
n_1 = Segment(A, B)
p_1 = Segment(B, C)
q_1 = Segment(C, D)
u = false
α = Angle(E, D, M)
β = Angle(D, M, E)
γ = Angle(M, E, D)
δ = Angle(E, M, F)
ε = Angle(M, F, E)
ζ = Angle(F, E, M)
η = Angle(M, A, F)
θ = Angle(A, F, M)
ι = Angle(F, M, A)
κ = Angle(A, M, B)
λ = Angle(B, A, M)
μ = Angle(M, B, A)
ν = Angle(B, M, C)
ξ = Angle(M, C, B)
ο = Angle(C, B, M)
ρ = Angle(C, M, D)
σ = Angle(M, D, C)
τ = Angle(D, C, M)
v = false
s_1 = Segment(M, D)
w = false
t_1 = Segment(F, C)
a_1 = Segment(E, B)
b_1 = Segment(A, D)
H = Intersect(b_1, p)
I = Intersect(t_1, p)
J = Intersect(t_1, b_1)
c_1 = false
K = Midpoint(A, F)
d_1 = Segment(H, K)
e_1 = Segment(K, I)
d1, f_2, a_2, j_2 = Polygon(A, J, F)
d2, k_2, h_2, i_2 = Polygon(H, I, K)
u_1 = false
o_1 = false
v1, a_3, p_2, q_2, f_3 = Polygon(A, P, Q, F)
v_1 = false
L = Midpoint(B, C)
N = Midpoint(C, D)
O = Midpoint(D, E)
g_2 = Segment(K, L)
l_2 = Segment(Q, N)
m_2 = Segment(L, O)
n_2 = Segment(O, K)
r_2 = Segment(P, N)
w_1 = false
b_2 = false