矩阵变换中的齐次坐标

GeoGebra 命令及参数

1. Segment(Pos + (0.25, -0.5), Pos + (0.25, -4)) → ps
2. Point(ps) → Nv
3. Circle(M_0, M_1) → d
4. Point(d) → M_2
5. Angle(M_1, M_0, M_2) → dw
6. Point(xAxis) → S_x
7. Point(yAxis) → S_y
8. Vector((0, 0), P_1) → v_1
9. Vector((0, 0), T) → v_T
10. Vector((0, 0), P_2) → v_2
11. Vector((0, 0), P_3) → v_3
12. Vector(P_1, P_1 + v_T) → v_{t1}
13. Vector(P_2, P_2 + v_T) → v_{t2}
14. Vector(P_3, P_3 + v_T) → v_{t3}
15. Polygon(Q_1, Q_2, Q_3) → Vieleck2, a, b, c
16. Polygon(P_1, P_2, P_3) → Vieleck1, p_3, p_1, p_2
17. CircleArc(M_0, M_1, M_2) → e
18. If(tr ≟ 0, "1", If[w0, "\textcolor{red}{" + (Text[cos(dw)]) + "}", "\textcolor{red}{cos(\alpha)}"]) → A_{11}
19. If(tr ≟ 0, "0", If[w0, "\textcolor{red}{" + (Text[(-sin(dw))]) + "}", "\textcolor{red}{-sin(\alpha)}"]) → A_{12}
20. If(tr ≟ 0, If[w0, "\textcolor{red}{" + (Text[x(T)]) + "}", "\textcolor{red}{v_{tx}}"], "0") → A_{13}
21. If(tr ≟ 0, "0", If[w0, "\textcolor{red}{" + (Text[sin(dw)]) + "}", "\textcolor{red}{sin(\alpha)}"]) → A_{21}
22. If(tr ≟ 0, "1", If[w0, "\textcolor{red}{" + (Text[cos(dw) + "}"]), "\textcolor{red}{cos(\alpha)}"]) → A_{22}
23. If(tr ≟ 0, If[w0, "\textcolor{red}{" + (Text[y(T)]) + "}", "\textcolor{red}{v_{ty}}"], "0") → A_{23}
24. CircleArc((0, 0), P_1, (0, 0) + w_1) → k_1
25. CircleArc((0, 0), P_2, (0, 0) + w_2) → k_2
26. CircleArc((0, 0), P_3, (0, 0) + w_3) → k_3
27. Vector((0, 0), S_x) → u_{sx}
28. Vector((0, 0), S_y) → u_{sy}
29. Vector((0, 0), Sch) → u_{sch}
30. Sequence(Pos + (Element[Pos_2, i, 1], Element[Pos_2, i, 2]), i, 1, 5) → Lnv