2) Konstrukce 

\text{1) }CP_c; |CP_c |=v_c=3cm 

$C$

$P_c$

$  $

$ \text{2)\:}\Delta CP_cS_c\:\: (Ssu); \text{přímka }p=P_cS_c $

$p$

$ p $

$p$

$S_c$

$ \text{3) kružnice }k(S_c;3cm) $

$k$

$\text{4) Body }A,B;\:A,B∈  k∩p;\:A≠B$

$A_1=B_2$

$B_1=A_2$

$ \text{5)}\Delta ABC $

\text{Počet řešení: 2!!!}\
ΔA_1B_1C_1 \text{ a }ΔAB_2C_2\text{ jsou sice shodné, ale úhel u }\
A_1\text{ má jinou velikost než úhel u }A_2.

C = (0.4296671284867521, -2.8952364572785427)
P_c = Point(Circle[C, 3])
g = Segment(C, P_c)
h = OrthogonalLine(P_c, g)
D = Point(h)
E = Point(h)
i = Segment(D, E)
β = Angle(E, P_c, C)
k = Circle(C, 5)
F = Point(k)
G = Point(k)
p = CircleArc(C, F, G)
S_c = Intersect(p, i, 1)
j = Segment(C, S_c)
q = Circle(S_c, 3)
H, A_1 = Intersect(q, i)
mnohoúhelník2, c_2, h_1, a_1 = Polygon(H, A_1, C)

Tool: Zlatý řez 1 (command Zlatýřez1)
Input: A, B
Output: F

a = Segment(A, B)
b = OrthogonalLine(B, a)
C = Midpoint(B, A)
c = Circle(B, C)
D = Intersect(c, b, 2)
d = Segment(A, D)
e = Circle(D, B)
E = Intersect(e, d, 1)
f = Circle(A, E)
F = Intersect(f, a, 1)

Tool: Zlatý řez 2 (command Zlatýřez2)
Input: A, B
Output: F

a = Ray(A, B)
c = OrthogonalLine(B, a)
e = Circle(B, A)
C = Midpoint(A, B)
D, E = Intersect(e, c)
f = Circle(C, E)
F = Intersect(f, a, 1)

Tool: Zlatý řez 3 (command Zlatýřez3)
Input: D, E
Output: F'

F = Zlatýřez2(D, E)
v = Vector(D, E)
F' = Translate(F, v)

Tool: nabrat poloměr (command nabratpoloměr)
Bod, bod, střed
Input: A, B, C
Output: g

u = Vector(A, B)
C' = Translate(C, u)
g = Circle(C, C')

Tool: obdélník ze 3 bodů (command obdélníkze3bodů)
Input: A, B, C
Output: b_1, a_1, d_1, e

a = Segment(A, B)
b = OrthogonalLine(B, a)
c = Line(C, a)
D = Intersect(b, c)
d = OrthogonalLine(A, a)
E = Intersect(c, d)
poly1, a_1, b_1, d_1, e = Polygon(A, B, D, E)

Tool: odpichovátko
Input: A, B, C
Output: C'

u = Vector(A, B)
C' = Translate(C, u)

Tool: přenesení úsečky (command přeneseníúsečky)
Input: A, B, C
Output: a, C'

u = Vector(A, B)
C' = Translate(C, u)
a = Segment(C, C')

Tool: zlatý trojúhelník1 (command zlatýtrojúhelník1)
Input: A, B
Output: b, a, e, F

a = Segment(A, B)
C = Zlatýřez2(B, A)
D = Zlatýřez2(A, B)
c = Circle(B, C)
d = Circle(A, D)
E, F = Intersect(c, d)
b = Segment(A, F)
e = Segment(B, F)

Tool: zlatý trojúhelník 2 (command zlatýtrojúhelník2)
Input: A, B
Output: a, h, i, G

a = Segment(A, B)
C = Zlatýřez2(B, A)
D = Zlatýřez2(A, B)
f = Circle(A, C)
g = Circle(B, D)
G, H = Intersect(f, g)
h = Segment(A, G)
i = Segment(B, G)

Tool: Zlatý řez 1 (command Zlatýřez11)
Input: A, B
Output: F

a = Segment(A, B)
b = OrthogonalLine(B, a)
C = Midpoint(B, A)
c = Circle(B, C)
D = Intersect(c, b, 2)
d = Segment(A, D)
e = Circle(D, B)
E = Intersect(e, d, 1)
f = Circle(A, E)
F = Intersect(f, a, 1)

Tool: Brankářská
Input: A, B, α
Output: e, f

a = Segment(A, B)
B' = Rotate(B, (-α), A)
b = Segment(A, B')
c = OrthogonalLine(A, b)
d = LineBisector(a)
C = Intersect(c, d)
C' = Mirror(C, a)
e = Circle(C, A)
f = Circle(C', B)