\text{Zostrojte }\triangle ABC: a:b=4:5,γ,v_c

 \text{Postup} 

γ

2.  \text{ Zostrojme }\triangle A'B'C: a=5j,b=4j,γ

A'

\left| A'C \right|  =5j

\left| B'C \right| =4j

3.  \; \text{Nech }v'_c \text{  je výška v }\triangle A'B'C

5. \; \mathscr{H}(A')=A, \;  \; \mathscr{H}(B')=B;  \; AB∥A'B',

6.  \; \triangle ABC

v_c = 6 (slider from 1 to 10, step 0.1)
γ = 1.2740903539558606 rad (slider from 0 to 180°, step 0.017453292519943295)
A' = (3.455845228775321, 3.6349521047154925)
C = (8, 7)
f = Ray(C, A')
K = Point(f)
A'_{1} = Rotate(A', γ, C)
β = Angle(A', C, A'_{1})
g = Ray(C, A'_{1})
e = Circle(C, K)
L = Intersect(e, g)
text8: "1.  \text{ Uhol }∡KCL=" + (LaTeX[γ]) + "=γ"
vzdialenosťAC = Distance(A', C)
c = Circle(C, (4 / 5 * Distance[A', C]))
M: A'
B' = Intersect(c, g, 1)
t2, c_2, m, b' = Polygon(M, B', C)
vzdialenosťCB' = Distance(C, B')
TextCB': Name[C] + (Name[B']) + " = " + vzdialenosťCB'
vzdialenosťA'C = Distance(A', C)
h = Line(A', B')
i = OrthogonalLine(C, h)
C'_1 = Intersect(h, i)
v'_c = Segment(C'_1, C)
d = Circle(C, v_c)
C_1 = Intersect(d, i, 1)
text3: "4.  \; \text{ Rovnoľahlosť: } \mathscr{H}(C'_1)=C_1; \;  \; (\left| CC_1 \right| =v_c=" + (LaTeX[v_c]) + ")"
j = Line(C_1, h)
A = Intersect(j, f)
B = Intersect(j, g)
t1, c_1, a, b = Polygon(A, B, C)
vzdialenosťCC1 = Distance(C, C_1)
TextCC1: "\left| CC_1 \right| = " + (LaTeX[vzdialenosťCC1]) + ""
k = Segment(C, C_1)