OA - obrazom rovnostranný trojuholník

\text{Určte obraz bodu } A \text{ v OA tak, aby obraz }\triangle ABC\text{ bol rovnostranný \triangle

\text{Postupne zostrojíme

\text{Stredy }S_a,S_b \text{ a ťažisko }T

\text{Priamky }\overleftrightarrow{AC},\overleftrightarrow{AB}

\text{Obklúk }(O_1,\widehat{12} )}

\text{Priamky }\overrightarrow{AS_a},\overrightarrow{AM},:\overrightarrow{AM}∥BC

\text{Obklúk }(O_2,\widehat{34} )}

A'=(O_1,\widehat{12} ) \; ∩ \; (O_2,\widehat{34} )}

B→B',C→C'

5

Q = (12, 0)
P = (-3, 0)
o = Line(P, Q)
C = (5.6460909090909155, 4.841185454545454)
B = (7.582090909090917, 1.9855854545454559)
A = (1.6216309090909151, 1.1289054545454564)
t1, c, a, b = Polygon(A, B, C)
p = Line(C, B)
G = Intersect(o, p)