Malá písemka, sk. A

Je dána úsečka AS1, |CS1| = 3 cm. Sestrojte všechny trojúhelníky...

C = (2.039516027203492, 5.418274564151287)
a = 5
S_1 = Point(Circle[C, 3])
t_c = Segment(C, S_1)
S_{tc} = Midpoint(C, S_1)
M_1 = Rotate(S_1, 330*°, C)
α = Angle(M_1, C, S_1)
b = Ray(C, M_1)
c = OrthogonalLine(C, b)
d = OrthogonalLine(S_{tc}, t_c)
S_M = Intersect(c, d)
S'_M = Mirror(S_M, S_{tc})
m = CircleArc(S_M, S_1, C)
m' = CircleArc(S'_M, C, S_1)
X = (12.786964995999421, 4.869216154380403)
Y = Point(Circle[X, 7.5])
t'_b = Segment(X, Y)
X_1 = (13.288176500907305, 6.292656828318794)
e = Ray(X, X_1)
X_2 = Mirror(X, X_1)
X_3 = Mirror(X_1, X_2)
f = Segment(Y, X_3)
g = Line(X_1, f)
Y' = Intersect(g, t'_b)
t_{b23} = Segment(Y', Y)
Z_1 = (3.1751934306782905, 6.424330718709494)
h = Ray(C, Z_1)
Z_2 = Mirror(C, Z_1)
Z_3 = Mirror(Z_1, Z_2)
i = Segment(Z_3, S_1)
j = Line(Z_2, i)
T = Intersect(j, t_c)
k = Circle(T, t_{b23})
T' = Mirror(T, S_1)
k' = Mirror(k, S_1)
A_1 = Intersect(m, k', 1)
A_2 = Intersect(m, k', 2)
A_3 = Intersect(m', k', 1)
A_4 = Intersect(m', k', 2)
l = Ray(A_1, S_1)
n = Ray(A_2, S_1)
p = Ray(A_3, S_1)
q = Ray(A_4, S_1)
B_1 = Intersect(k, l, 2)
B_2 = Intersect(k, n, 1)
B_3 = Intersect(k, p, 1)
B_4 = Intersect(k, q, 2)
mnohoúhelník1, b_1, a_1, c_1 = Polygon(A_1, C, B_1)
mnohoúhelník2, b_2, a_2, c_2 = Polygon(A_2, C, B_2)
mnohoúhelník3, b_3, a_3, c_3 = Polygon(A_3, C, B_3)
mnohoúhelník4, c_4, a_4, b_4 = Polygon(A_4, B_4, C)