13APMdouzain
Date: 23 Mars 2015

Le douzain (34,27,13) : 2A=2A'=F
Le groupe est   Z/12Z, engendré par C avec :
O=infini Oy=0 ; I=infini Ox=4 ; J= infini (y=-x)=-4
(O, I , J correspondent aux droites rouges),
C=1, D=2, A'=3, B=5, B'=-5, A=-3, E=-2, C'=-1, F=6

C' = (34, 13)
B' = (13, 27)
A' = (27, 34)
h(x) = (74 - x) / 2 + sqrt((2 * x - 74) * (2 * x^(3) - 74 * x^(2) + 410984 - 405224)) / (2 * (74 - 2 * x))
p(x) = (74 - x) / 2 - sqrt((2 * x - 74) * (2 * x^(3) - 74 * x^(2) + 410984 - 405224)) / (2 * (74 - 2 * x))
C = (34, 27)
B = (13, 34)
A = (27, 13)
a = Line(B', A')
D = Intersect(p, a, (41.00000000010481, 40.99999999989518))
b = Line(C', A')
E = Intersect(h, b, (41.00000000009617, -8.00000000000001))
c = Line(C', B')
F = Point(c)
d = Line(D, yAxis)
f(x) = 37 - x
e = Line(C, B)
g = Line(A, B)
i = Line(A, C)
G = (37, 0)
j = OrthogonalLine(G, xAxis)
H = (0, 37)
k = OrthogonalLine(H, yAxis)
l = Line(F, A)
m = Line(A', F)
texte2: "" + texte1 + "
C, C', B, B' sont d'ordre 12, A, A' d'ordre 4"