 \text{Zostrojte trojuholník ak je dané: strana }a\text{, ťažnica }t_c\text{, uhol }α =∢CAB. 

 \text{ Konštrukcia - postup}

t_{c}

α

2. \;  \text{kružnica}  \; k=(S, r=\left|SC  \right|) 

3.  \; \text{súmerná kružnica}  \; k'

4.  \; \text{kružnica}  \; k_2=(C, r=a) 

5.  \; B:=k'∩k_2

6.  \; \text{priamka}  \; \overleftrightarrow{j}: C_1, B ∈\overleftrightarrow{j}

7. \; A:=\overleftrightarrow{j}∩k

8. \; ΔABC

a = 9 (slider from 0.1 to 10, step 0.1)
t = 5 (slider from 0.1 to 10, step 0.1)
α = 0.8377580409572781 rad (slider from 0 to 180°, step 0.017453292519943295)
C_1 = (0.9045160066000032, -2.3403227950000196)
C = Point(Circle[C_1, t])
t_{c} = Segment(C_1, C)
text3: "1. \; \text{ťažnica} : t_c=" + (LaTeX[t]) + ""
C' = Rotate(C, (-α), C_1)
α_{2} = Angle(C', C_1, C)
g = Ray(C_1, C')
h = OrthogonalLine(C_1, g)
i = LineBisector(t_{c})
S = Intersect(h, i)
k = Circle(S, C)
k' = Mirror(k, C_1)
k_2 = Circle(C, a)
B, B_{1} = Intersect(k_2, k')
j = Line(B, C_1)
A = Intersect(k, j, 2)
t1, c_1, a_1, b = Polygon(A, B, C)
α_1 = Angle(C, A, B)