m_c

m_b

m_a

S

Mittelsenkrechten

S

Geraden durch Eckpunkte

Höhen

s_b

$\frac{b}{2}$

$\frac{b}{2}$

r

S

Seitenhalbierenden

$\frac{γ}{2}$

$\frac{γ}{2}$

$\frac{α}{2}$

$\frac{α}{2}$

$\frac{β}{2}$

$\frac{β}{2}$

Winkelhalbierenden

Umkreis

AS, BS, CS

Parallelen durch Eckpunkte

Dreieck

rechte Winkel

α

α

β

β

kongruente Dreiecke

M_b

flächengleiche Dreiecke

E

D

h

k

γ

γ

β

β

kongruente Dreiecke

F

D

E

Inkreis

Eulergerade

A = (-20, -20)
B = (20, -20)
C = (7.447714035068997, 3.978268729601088)
c = Segment(A, B)
a = Segment(B, C)
b = Segment(C, A)
D = Midpoint(A, B)
E = Midpoint(B, C)
F = Midpoint(C, A)
f = OrthogonalLine(D, c)
g = OrthogonalLine(F, b)
h = OrthogonalLine(E, a)
G = Intersect(g, f)
α = Angle(A, F, G)
β = Angle(G, E, B)
γ = Angle(B, D, G)
d = false
i = OrthogonalLine(A, a)
j = OrthogonalLine(C, c)
k = OrthogonalLine(B, b)
H = Intersect(b, k)
I = Intersect(j, c)
J = Intersect(i, a)
K = Intersect(k, i)
δ = Angle(K, H, C)
ε = Angle(C, J, K)
ζ = Angle(B, I, K)
l = Line(C, A)
m = Line(A, B)
n = Line(B, C)
L = Intersect(n, i)
M = Intersect(k, l)
N = Intersect(m, j)
η = Angle(A, L, C)
θ = Angle(K, M, C)
ι = Angle(B, I, C)
o = false
e = false
O = Midpoint(A, C)
P = Midpoint(A, B)
Q = Midpoint(B, C)
p = Line(O, B)
q_1 = Line(C, P)
r_1 = Line(Q, A)
s = Segment(A, O)
t = Segment(O, C)
q = Segment(A, P)
r = Segment(B, Q)
i_1 = Segment(Q, C)
R = Intersect(p, r_1)
u = false
w_γ = AngularBisector(A, C, B)
w_α = AngularBisector(B, A, C)
w_β = AngularBisector(C, B, A)
S = Intersect(w_β, w_α)
κ = Angle(S, C, B)
λ = Angle(A, C, S)
μ = Angle(B, A, S)
ν = Angle(S, A, C)
ξ = Angle(C, B, S)
ο = Angle(S, B, A)
v = false
c_1 = Circle(G, C)
w = false
p_1 = Segment(A, G)
s_1 = Segment(G, B)
t_1 = Segment(G, C)
a_1 = false
g_1 = Line(C, c)
k_1 = Line(B, b)
l_1 = Line(A, a)
b_1 = false
B' = Intersect(g_1, l_1)
C' = Intersect(k_1, l_1)
A' = Intersect(g_1, k_1)
m_1 = Segment(B', C')
n_1 = Segment(C', A')
d_1 = Segment(A', B')
e_1 = false
ρ = Angle(K, C, A')
σ = Angle(C', A, K)
τ = Angle(A', B, K)
o_1 = false
d1, c_2, a_2, b_2 = Polygon(A, B, C)
d2, b', a_3, c_3 = Polygon(A, C, B')
υ = Angle(I, A, C)
ϕ = Angle(B', C, A)
χ = Angle(C, A, B')
ψ = Angle(A, C, B)
u_1 = false
T = Midpoint(A, C)
d3, o_2, a_4, b_3 = Polygon(A, B, O)
d4, c_4, b_4, o_3 = Polygon(B, O, C)
v_1 = false
f_2 = OrthogonalLine(A, p)
g_2 = OrthogonalLine(C, p)
U = Intersect(p, f_2)
V = Intersect(p, g_2)
h_2 = Segment(A, U)
i_2 = Segment(V, C)
ω = Angle(A, U, T)
α_1 = Angle(C, V, T)
β_1 = Angle(U, T, A)
γ_1 = Angle(V, T, C)
j_2 = Segment(A, C)
δ_1 = Angle(T, A, U)
ε_1 = Angle(T, C, V)
w_1 = false
f_1 = OrthogonalLine(S, b')
h_1 = OrthogonalLine(S, a)
j_1 = OrthogonalLine(S, c)
W = Intersect(f_1, b')
Z = Intersect(j_1, c)
A_1 = Intersect(h_1, a)
ζ_1 = Angle(A, W, S)
η_1 = Angle(B, Z, S)
θ_1 = Angle(C, A_1, S)
d_2 = Circle(S, W)
k_2 = Segment(S, W)
l_2 = Segment(S, Z)
m_2 = Segment(S, A_1)
e_2 = false
Eulergerade = Line(G, R)
n_2 = false