117_rozb

$1) \:Pomocný \:\Delta AA_0A_1 \:(Ssu)$

2) \; Nájdeme \;  ťažisko \;  T

$3) \;  Zostrojíme \;  bod \:B \; s \; vlastnosťou
\    \;  \;  \;  \; B∈ \overrightarrow{BS_1} ∩k,  \; kde  \; k=(T;\frac{2}{3}t_b)

$4)\:Zostrojíme \; bod \;  \:C, pre \;  ktorý  \; platí$
$\:\:\:\:\:\:C∈\overline{A_0A_1}∩k_1, kde \;  k_1=(A_1;\:\left\vert  BA_1\right\vert )

5) \; Trojuholník \; ABC

v_a = 5.5 (slider from 0.5 to 10, step 0.1)
t_a = 6 (slider from 0.5 to 10, step 0.5)
t_b = 7 (slider from 0.5 to 10, step 0.5)
A_0 = (2.8, 2.68)
d = Circle(A_0, v_a)
A = Point(d)
f = Line(A, A_0)
g = OrthogonalLine(A_0, f)
c = Circle(A, t_a)
A_1 = Intersect(c, g, 1)
t1, a_0, a, a_1 = Polygon(A, A_1, A_0)
e = Circle(A, (2 / 3 * t_a))
T = Intersect(e, a_0, 1)
h = Circle(T, (2 / 3 * t_b))
B, C_1 = Intersect(h, g)
k = Circle(A_1, B)
C = Intersect(k, g, 2)
t2, c_1, a_2, b = Polygon(A, B, C)