二维区域与部分体积交集

GeoGebra 命令及参数

1. Segment(V_{--}, V_{+-}) → E_{b}
2. Segment(V_{+-}, V_{++}) → E_{r}
3. Segment(V_{++}, V_{-+}) → E_t
4. Segment(V_{-+}, V_{--}) → E_l
5. Segment(P_1, P_0) → E_{P01}
6. Segment(C, P) → t_{<0}
7. Segment(C, P) → t_{>0}
8. Angle(A, C, If[t > 0, P, (3 * C) - (2 * P)]) → α
9. Angle(If[t > 0, P, (3 * C) - (2 * P)], C, A) → β
10. Intersect(E_{P01}, E_{b}) → I_{b}
11. Intersect(E_{P01}, E_{r}) → I_{r}
12. Intersect(E_{P01}, E_t) → I_{t}
13. Intersect(E_{P01}, E_l) → I_{l}
14. Segment(I_{b}, I_{t}) → l
15. Segment(I_{l}, I_{r}) → m
16. Segment(I_{b}, I_{r}) → n
17. Segment(I_{r}, I_{t}) → p
18. Segment(I_{t}, I_{l}) → q
19. Segment(I_{l}, I_{b}) → r
20. Polygon(V_{--}, I_{b}, I_{t}, V_{-+}) → q1, v_{--}, i_{b}, i_{t}, v_{-+}
21. Polygon(V_{--}, V_{+-}, I_{r}, I_{t}, V_{-+}) → poly2, v_1, v_{+-}, i_{r}, i_1, v_2
22. Polygon(V_{--}, V_{+-}, I_{r}, I_{l}) → q2, v_3, v_4, i_2, i_{l}
23. Polygon(V_{--}, V_{+-}, V_{++}, I_{t}, I_{l}) → poly1, v_5, v_6, v_{++}, i_3, i_4
24. Polygon(I_{b}, V_{+-}, V_{++}, I_{t}) → q3, i_5, v_7, v_8, i_6
25. Polygon(I_{b}, V_{+-}, V_{++}, V_{-+}, I_{l}) → poly3, i_7, v_9, v_{10}, v_{11}, i_8
26. Polygon(V_{--}, I_{b}, I_{r}, V_{++}, V_{-+}) → poly4, v_{12}, i_9, i_{10}, v_{13}, v_{14}
27. Polygon(I_{r}, V_{++}, V_{-+}, I_{l}) → q4, i_{11}, v_{15}, v_{16}, i_{12}
28. Polygon(I_{b}, V_{+-}, I_{r}) → t1, i_{13}, i_{14}, v_{17}
29. Polygon(I_{r}, V_{++}, I_{t}) → t2, i_{15}, i_{16}, v_{18}
30. Polygon(I_{t}, V_{-+}, I_{l}) → t3, i_{17}, i_{18}, v_{19}
31. Polygon(V_{--}, I_{b}, I_{l}) → t4, i_{19}, v_{20}, i_{20}
32. Polygon(V_{--}, V_{+-}, V_{++}, V_{-+}) → q5, v_{21}, v_{22}, v_{23}, v_{24}
33. LaTeX(Term_{t,0}, false, true) → TextTerm_{0}
34. LaTeX(Term_{t,1}, false, true) → TextTerm_{1}
35. LaTeX(Term_{t,2}, false, true) → TextTerm_{2}
36. LaTeX(Term_{t,3}, false, true) → TextTerm_{3}
37. LaTeX(Term_{t,4}, false, true) → TextTerm_{4}
38. LaTeX(Term_{t,5}, false, true) → TextTerm_{5}
39. Segment(P_{--}, P_{+-}) → E_{x-}
40. Segment(P_{+-}, P_{++}) → E_{+x}
41. Segment(P_{++}, P_{-+}) → E_{x+}
42. Segment(P_{-+}, P_{--}) → E_{-x}
43. Segment((φ, 0), (φ, (2 * t_{max}))) → s_φ
44. Segment(Q_{--}, Q_{+-}) → F_{x-}
45. Segment(Q_{+-}, Q_{++}) → F_{+x}
46. Segment(Q_{++}, Q_{-+}) → F_{x+}
47. Segment(Q_{-+}, Q_{--}) → F_{-x}
48. Segment(O_{g} + (φ, 0), Result_{g}) → f
49. If(Defined[l], Length[l], If[Defined[m], Length[m], If[Defined[n], Length[n], If[Defined[p], Length[p], If[Defined[q], Length[q], If[Defined[r], Length[r], "Error"]]]]]) → LengthCheck
50. Segment(O_{f} + (φ, 0), Result_{f}) → s