角度与曲面流

GeoGebra 命令及参数

1. CurveCartesian((2 * t) - 4, 0, 0, t, 0, 10) → Pathline
2. Sphere(FluidPt_2, 1) → a_1
3. PointIn(a_1) → S_4
4. PointIn(a_1) → S_5
5. PointIn(a_1) → S_2
6. PointIn(a_1) → S_1
7. PointIn(a_1) → S_6
8. PointIn(a_1) → S_7
9. PointIn(a_1) → S_3
10. OrthogonalLine(A, xOyPlane) → i_1
11. Rotate(B, (-angle), A) → B'
12. Line(A, B') → b
13. OrthogonalLine(B', b, xOyPlane) → d
14. Point(d) → G_1
15. Vector(B', G_1) → v_1
16. Circle(A, 2, normalvectorplane) → s_1
17. Intersect(xOyPlane, s_1) → J_1, K_1
18. Line(K_1, J_1) → a_2
19. OrthogonalLine(J_1, xOyPlane) → t_1
20. OrthogonalLine(K_1, xOyPlane) → j_1
21. Intersect(i_1, s_1) → H_1, I_1
22. Line(I_1, a_2) → c_2
23. Intersect(j_1, c_2) → Cuadro3
24. Intersect(t_1, c_2) → Cuadro4
25. Line(H_1, a_2) → b_2
26. Intersect(b_2, t_1) → Cuadro2
27. Intersect(b_2, j_1) → Cuadro1
28. Polygon(Cuadro3, Cuadro4, Cuadro2, Cuadro1) → poly3, o_2, n_2, m_2, l_2
29. OrthogonalPlane(B', d) → e
30. OrthogonalPlane(FluidPt, yAxis) → m
31. OrthogonalLine(FluidPt, xOyPlane) → l
32. Point(l) → F
33. OrthogonalLine(F, m) → r
34. OrthogonalLine(FluidPt, xAxis, xOyPlane) → h
35. Point(h) → E
36. OrthogonalLine(E, xOyPlane) → q
37. Intersect(r, q) → K
38. Line(E, xAxis) → i
39. Line(K, i) → Container3
40. Intersect(Container3, e) → P
41. Circle(FluidPt, E, xOyPlane) → k
42. Intersect(h, k) → H, J
43. OrthogonalLine(H, xOyPlane) → n
44. Intersect(r, n) → L
45. Line(H, xAxis) → j
46. Line(L, j) → Container4
47. Intersect(Container4, e) → O
48. Circle(h, F) → p
49. Intersect(l, p) → G, I
50. Line(I, h) → s
51. Intersect(s, q) → N
52. Line(N, i) → Container2
53. Intersect(Container2, e) → Q
54. Intersect(s, n) → M
55. Line(M, j) → Container1
56. Intersect(Container1, e) → R
57. Intersect(xAxis, yAxis) → Z
58. Vector(D_1, Z) → u_1
59. OrthogonalLine(A, xAxis, xOyPlane) → a
60. Angle(B', A, B, xOyPlane) → θ
61. OrthogonalPlane(A, xAxis) → c
62. Segment(A, B') → g
63. Point(h) → D
64. Polygon(L, K, N, M) → poly1, l_1, k_1, n_1, m_1
65. Segment(O, P) → d_1
66. Segment(P, Q) → e_1
67. Segment(R, Q) → f_1
68. Segment(R, O) → g_1
69. PointIn(poly1) → T
70. PointIn(poly1) → U
71. PointIn(poly1) → V
72. PointIn(poly1) → W
73. Sequence(Sequence[Sequence[Vector[(j, k, l), (j + (scale * F_1(j, k, l)), k + (scale * F_2(j, k, l)), l + (scale * F_3(j, k, l)))], j, (-extent) - 1, extent + 3, (2 * step)], k, (-extent), extent, step], l, (-extent), extent, step) → VField, {{{(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}}, {{(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}}, {{(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}}, {{(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}, {(2, 0, 0), (2, 0, 0), (2, 0, 0), (2, 0, 0)}}}
74. Point(xAxis) → A_1
75. Vector(A_1, Z) → v
76. Intersect(yAxis, xAxis) → C_1
77. Vector(B_1, Z) → w
78. Element(list2, faces) → Selectedvector
79. Line(S, E_1) → direction1
80. Sequence(Segment[Cuadro1 + (i * (Cuadro3 - Cuadro1) / net), Cuadro2 + (i * (Cuadro4 - Cuadro2) / net)], i, 0, net) → neth
81. Sequence(Segment[Cuadro1 + (i * (Cuadro2 - Cuadro1) / net), Cuadro3 + (i * (Cuadro4 - Cuadro3) / net)], i, 0, net) → netv
82. If(-4 ≤ x(FluidPt) ≤ 1, 0, Flux) → Fluxcondition
83. Point(VField) → C
84. Point(Container4) → O_1
85. Prism(poly1, O_1) → t, L_1, edge1, edge3, edge4, edge5, edge7, edge8, edge6, M_1, N_1, face1, face2, face4, face3, face5, edge2
86. Sequence(Vector[Element[motionvectors, i], (x(Element[motionvectors, i]) + (scale * F_1(x(Element[motionvectors, i]), y(Element[motionvectors, i]), z(Element[motionvectors, i]))), y(Element[motionvectors, i]) + (scale * F_2(x(Element[motionvectors, i]), y(Element[motionvectors, i]), z(Element[motionvectors, i]))), z(Element[motionvectors, i]) + (scale * F_3(x(Element[motionvectors, i]), y(Element[motionvectors, i]), z(Element[motionvectors, i]))))], i, 1, 8) → vectorParticles
87. Point(neth) → P_1
88. Point(netv) → Q_1
89. Element(Element[VField, 1, 1], 1) → vv
90. Translate(vv, Q_1) → v1
91. Translate(vv, P_1) → v2
92. OrthogonalLine(P_1, e) → no1
93. OrthogonalLine(Q_1, e) → no2
94. Point(no1) → R_1
95. Point(no2) → T_1
96. Translate(Vector[P_1, R_1] / abs(Vector[P_1, R_1]), P_1) → nn1
97. Translate(Vector[Q_1, T_1] / abs(Vector[Q_1, T_1]), Q_1) → nn2