球体体积的卡瓦利里原理

GeoGebra 命令及参数

1. Segment(B, A) → j
2. Midpoint(j) → E
3. Cylinder(A, B, r) → a, c, d, b
4. Cylinder(C, D, r) → e, f, g, i
5. Segment(D, C) → k
6. Midpoint(k) → F
7. Sphere(F, r) → l
8. Cone(B, E, r) → m, p, n
9. Cone(A, E, r) → o, q, s
10. Plane(X, d) → t
11. IntersectPath(t, l) → c_1
12. IntersectPath(t, m) → d_1
13. IntersectPath(t, o) → e_1
14. IntersectPath(t, a) → f_1
15. Segment(ZZ, F) → a_1
16. Line(ZZ, xAxis) → b_1
17. Intersect(b_1, c_1) → G, H
18. Segment(ZZ, G) → g_1
19. Segment(H, ZZ) → h_1
20. Point(c_1) → I
21. Segment(F, I) → i_1
22. Polygon(I, F, ZZ) → polígono1, zz, i_2, f_2
23. Intersect(b_1, f_1) → J, K
24. Intersect(b_1, d_1) → L, M
25. Segment(WW, E) → j_1
26. Segment(WW, L) → k_1
27. Midpoint(j_1) → N
28. Segment(A, BB) → l_1
29. Midpoint(l_1) → O
30. Midpoint(h_1) → P
31. Midpoint(a_1) → Q
32. Midpoint(g_1) → R
33. Segment(AA, BBB) → n_1
34. Midpoint(n_1) → S
35. Midpoint(k_1) → T
36. Segment(EE, AA) → m_1
37. Midpoint(m_1) → U
38. Circle(D, r, g) → p_1
39. Midpoint(i_1) → V