\text{ Zostrojte obraz bodu }B \text{ v osovej afinite, ak }\;  A,B∈ m;  \; m∥o

OA \text{ je daná osou }o = PQ \text{ a dvojicou } (A,A')

A´

1. \text{ Zvolíme si priamku }  p: p∩o= {1}

1

2. \text{ Bod }1 \text{ je samodružný

3. \text{ Obraz priamky }p':  \;  p´= A´1

p´

4. \text{ Bod } \; C ∈ p:BC ∦ o

5. \text{ Obraz bodu }C: C´∈ p´∧ C´C ∥ s 

C´

6. \text{ Samodružný bod }2:  2 ∈ o ∩ BC

2

7. \text{ Obrazom priamky }BC \text{ je priamka }2C´

8. \text{ Obraz bodu } B: B'∈2C´

B´

9. \text{ Obraz priamky }a \text{ je priamka }\overleftrightarrow{A´B´}

P = (-1, 2)
Q = (12.86, 1.98)
f = Line(P, Q)
A = (2.04, 5.62)
g = Line(A, f)
A_1 = (-0.22, -1.3)
s = Vector(A, A_1)
B = Point(g)
S = Point(f)
p = Line(A, S)
p_1 = Line(S, A_1)
C = Point(p)
h = Line(B, C)
i = Line(C, s)
C' = Intersect(p_1, i)
D = Intersect(f, h)
j = Line(D, C')
k = Line(B, i)
B' = Intersect(j, k)
m = Line(A_1, B')