$AA$

aa

Aa

Trace

P(A) et P(a)

Répartition génération suivante

B: (0, 1 / 3)
A = Point(yAxis)
A' = Dilate(A, 0.99, B)
c = Circle(B, A)
C, D = Intersect(c, xAxis)
D' = Dilate(D, 0.99, B)
C' = Dilate(C, 0.99, B)
t1', d', a', c' = Polygon(A', C', D')
t1, d, a, c_1 = Polygon(A, C, D)
b(x, y) = y < ((-sqrt(3)) * x) + 1 ∧ y > 0 ∧ y < (sqrt(3) * x) + 1
H = PointIn(t1')
f = OrthogonalLine(H, c_1)
g = OrthogonalLine(H, d)
h = OrthogonalLine(H, a)
E, F = Intersect(f, t1)
G, I = Intersect(h, t1)
J, K = Intersect(g, t1)
q0 = Segment(H, G)
r0 = Segment(H, J)
p0 = Segment(H, E)
L = Point(xAxis)
l = OrthogonalLine(L, xAxis)
e = Circle(L, q0)
M = Intersect(e, l, 2)
p = Circle(M, r0)
N = Intersect(p, l, 2)
O: (x(L), 1)
m = Segment(O, N)
n = Segment(N, M)
q = Segment(M, L)
i = OrthogonalLine(C, d)
j = OrthogonalLine(D, c_1)
k = OrthogonalLine(G, i)
r = OrthogonalLine(G, j)
P = Intersect(i, k)
Q = Intersect(j, r)
s = Segment(D, Q)
t = Segment(P, C)
α = Angle(D, Q, G)
β = Angle(G, P, C)
f_1 = Segment(G, P)
g_1 = Segment(G, Q)
text4: "P(A)=" + (LaTeX[s]) + ""
text5: "P(a)=" + (LaTeX[t]) + ""
R = Midpoint(q)
S = Midpoint(n)
T = Midpoint(m)
text6: "P(AA)=" + (LaTeX[p0]) + ""
text7: "P(aa)=" + (LaTeX[r0]) + ""
text8: "P(Aa)=" + (LaTeX[q0]) + ""
p1: (p0 + q0 / 2)^(2)
r1: (r0 + q0 / 2)^(2)
q1: 1 - p1 - r1
d_1 = Circle(J, r1)
U, V = Intersect(d_1, g)
e_1 = Circle(E, p1)
W, Z = Intersect(e_1, f)
h_1 = OrthogonalLine(Z, f)
i_1 = OrthogonalLine(V, g)
G1 = Intersect(h_1, i_1)
G2: G1
o = false
u = false
v = false