Droites de Saad
Author: Michel Saad

Cercle d'Euler, droite d'Euler et droites de SAAD pour un triangle à angle obtus

Cercle d'Euler, droite d'Eules et droites de SAAD pour un triangle à angle obtus

A_1 = Point(xAxis)
c = Circle(A_1, 6)
B = Point(c)
C = Point(c)
A = Point(c)
a = Segment(A, C)
b = Segment(A, B)
d = Segment(B, C)
poly1, c_2, a_1, c_1 = Polygon(A, C, B)
A' = Midpoint(B, C)
e = Segment(A, A')
B' = Midpoint(A, C)
f = Segment(B, B')
G = Intersect(e, f)
g = OrthogonalLine(A, a_1)
h = OrthogonalLine(C, c_1)
i = OrthogonalLine(B, c_2)
H = Point(h)
j = Segment(H, A_1)
Ω = Midpoint(H, A_1)
A1 = Point(poly1)
k = Ray(C, A)
l = Ray(B, A)
B1 = Intersect(i, k)
C1 = Intersect(h, l)
A'' = Midpoint(H, A)
p = Conic(C1, A'', B1, A1, B')
C'' = Intersect(p, h, 2)
D = Point(c)
E = Point(c)
m = Line(D, E)
A2 = Intersect(c, g, 2)
C2 = Intersect(c, h, 2)
B2 = Intersect(c, i, 2)
n = Ray(A1, C'')
q = Ray(A'', C1)
Q1 = Intersect(n, q)
r = Segment(Q1, B)
B'' = Intersect(p, i, 2)
s = Ray(A1, B'')
t = Ray(A'', B1)
R1 = Intersect(s, t)
b_1 = Line(Q1, R1)
d_1 = Segment(R1, C)
e_1 = Ray(A, C2)
f_1 = Ray(A2, C)
Q2 = Intersect(e_1, f_1)
g_1 = Line(Q2, m)
h_1 = Ray(A2, B)
i_1 = Ray(A, B2)
R2 = Point(g_1)
j_1 = Segment(H, A_1)
F = Point(m)