ms

Napoleondreieck

Linien für NP

Napoleonpunkt 1

Ha 3/11

Mittelpunkte

Beweiselemente

Fermatpunkt

Kürzeste Wegsumme

A = (-1.9687724323997449, 1.3473882035533766)
B = (2.777656457483719, 0.1729862795188666)
C = (0.3486831902035662, 3.512879523035159)
Vieleck1, c, a, b = Polygon(A, B, C)
Vieleck2, d, b_1, a_1, D = Polygon(B, A, 3.0)
Vieleck3, e, c_1, b_2, E = Polygon(C, B, 3.0)
Vieleck4, f, a_2, c_2, F = Polygon(A, C, 3.0)
g = LineBisector(a)
h = LineBisector(c)
i = LineBisector(b)
j = false
k = LineBisector(a_2)
l = LineBisector(b_2)
m = LineBisector(a_1)
G = Intersect(k, i)
H = Intersect(l, g)
I = Intersect(m, h)
Vieleck5, n, g_1, i_1, J = Polygon(G, I, 3.0)
o = false
p = Segment(G, B)
q = Segment(H, A)
r = Segment(I, C)
NP = Intersect(q, p)
s = false
t = false
K = Intersect(g, i)
u = false
d_1 = Segment(A, E)
e_1 = Segment(F, B)
f_1 = Segment(C, D)
FP = Intersect(e_1, d_1)
h_1 = Segment(F, FP)
j_1 = Segment(A, FP)
k_1 = Segment(FP, B)
l_1 = Segment(FP, E)
F' = Rotate(F, 59.99999999999999*°, FP)
B' = Rotate(B, 59.99999999999999*°, FP)
m_1 = Segment(F', A)
α = Angle(F, FP, A)
β = Angle(B, FP, E)
p_1 = CircleArc(C, F, A)
q_1 = CircleArc(C, B, E)
v = false
w = true
n_1 = Segment(A, FP)
r_1 = Segment(FP, C)
s_1 = Segment(FP, B)
z = true