n维球面中的质心/体积几何概念演示

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. PointIn(Sphere[A, a]) → B
3. Segment(A, B) → f
4. Point(Circle[A, Distance[B, A], Segment[B, A]]) → C
5. Cube(B, A, C) → b, D, faceCDHG, faceEFGH, edgeBD, edgeAB, edgeAC, edgeCD, edgeBE, edgeDH, edgeEH, edgeEF, E, edgeAF, edgeFG, edgeCG, edgeGH, F, G, H, faceABDC, faceBDHE, faceABEF, faceACGF
6. Segment(D, F) → g
7. Segment(H, A) → h
8. Intersect(g, h) → I
9. Sphere(I, H) → c
10. Volume(c) → volumec
11. PointIn(c) → Pointc_{1}
12. Volume(b) → volumeb
13. PointIn(b) → Pointb_{1}
14. Segment(L, M) → i
15. Volume(c) → d
16. PointIn(c) → Pointc_{2}
17. Volume(b) → e
18. PointIn(b) → Pointb
19. Volume(c) → j
20. PointIn(c) → Pointc
21. Segment(N, O) → k