$ \text{ŘEŠENÍ 1 - Umístění strany }AB $

$ 1)\:Rozbor $

$A$

$B$

$c=6$

$C$

$S_c$

$P_c$

$v_c=3$

$t_c=5$

$ \text{1) Umístíme stranu }AB $

$ \text{2) Hledám bod }C $

$\text{    ∙ }C∈p;\:p\:∥AB\text{ ve vzdálenosti }v_c=3\:cm$

$p$

$\text{    ∙ }C∈k(S_c;t_c)$

$ k $

A = (3.9, 3.3)
B = (7.9, 3.3)
a = Segment(A, B)
C = (5.1, 5.88)
b = Segment(A, C)
c = Segment(C, B)
S_c = Midpoint(A, B)
d = OrthogonalLine(C, a)
P_c = Intersect(d, a)
e = Segment(P_c, C)
f = Segment(S_c, C)
α = Angle(B, P_c, C)
g = Line(C, a)
D = Point(g)
E = Point(g)
h = Segment(D, E)
i = Segment(S_c, B)
k = Circle(S_c, C)
F = Point(k)
G = Point(k)
p = CircleArc(S_c, G, F)

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)