Bod S

Bod P

Bod A

Bod Q

Bod A'

Bod P'

1)

\text{Zadanie upravíte zmenou polôh bodov }, A,A',P,P',Q,Q'S,S'

\text{Kolineácia je určená dvojicami odpovedajúcich bodov : }, A,A',P,P',Q,Q'S,S',

\text{Bod } B \text{ je skúšobný }

Bod B

Bod S'

Bod Q'

Stredová kolineácia

os

S = (3, 1)
Q = (5, -1)
P = (-3, 2)
a_{1}: 1
A11: y(P)
A10: x(P)
mp: {{A10}, {A11}, {a_{1}}}
A = (1, -1)
A6: x(A)
A8: 1
A12: 1
A14: x(S)
A15: y(S)
A16: 1
ms: {{A14}, {A15}, {A16}}
Ms: {A14, A15, A16}
A21: 1
A19: x(Q)
A20: y(Q)
Mq: {A19, A20, A21}
mq: {{A19}, {A20}, {A21}}
A' = (0, -2)
B7: y(A')
B8: 1
S' = (2, 1)
Q' = (6, 1)
P' = (-3, 1)
B10: x(P')
B11: y(P')
B12: 1
B14: x(S')
B15: y(S')
B16: 1
B19: x(Q')
B20: y(Q')
B21: 1
Mpp: {B10, B11, B12}
Mss: {B14, B15, B16}
Mqq: {B19, B20, B21}
A7: y(A)
Ma: {A6, A7, A8}
B6: x(A')
Maa: {B6, B7, B8}
Mp: {A10, A11, A12}
A1 = Element(MM, 1, 1)
B1 = Element(MM, 1, 2)
C1 = Element(MM, 1, 3)
A2 = Element(MM, 2, 1)
B2 = Element(MM, 2, 2)
C2 = Element(MM, 2, 3)
A3 = Element(MM, 3, 1)
B3 = Element(MM, 3, 2)
C3 = Element(MM, 3, 3)
m1: {{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}}
ma: {{A6}, {A7}, {A8}}
maa: (m1 * ma)
B = (4, -2)
A23: x(B)
A24: y(B)
A25: 1
mb: {{A23}, {A24}, {A25}}
mbb: (m1 * mb)
B': (Element[mbb, 1, 1] / Element[mbb, 3, 1], Element[mbb, 2, 1] / Element[mbb, 3, 1])
text1: "\text{Matica kolineácie }\\" + (LaTeX[MM]) + " "
Stredova = false
p = Line(P, Q)