médianes

hauteurs

médiatrices

point G

point H

point O

droite d'Euler

A = (4, 7)
B = (1, 0)
a = Segment(A, B)
C = (13, 0)
b = Segment(B, C)
c = Segment(C, A)
C' = Midpoint(a)
A' = Midpoint(b)
B' = Midpoint(c)
d = Line(C, C')
e = Line(A, A')
f = Line(B, B')
G = Intersect(d, e)
g = OrthogonalLine(A, b)
h = OrthogonalLine(B, c)
i = OrthogonalLine(C, a)
D = Intersect(i, a)
E = Intersect(h, c)
F = Intersect(g, b)
α = Angle(B, D, C)
β = Angle(C, F, A)
γ = Angle(B, E, C)
H = Intersect(g, h)
j = LineBisector(c)
k = LineBisector(b)
l = LineBisector(a)
O = Intersect(j, k)
n = false
o = false
p = false
q = false
r = false
s = false
m = Line(H, O)
u = false
δ = Angle(B, C', O)
ε = Angle(C, A', O)
ζ = Angle(O, B', C)