复数平面上的帕普斯面积定理演示

GeoGebra 命令及参数

1. Circle(A, a) → c
2. Line(A, B) → f
3. Intersect(c, f, 2) → E
4. Intersect(c, f, 1) → H
5. PointIn(c) → Pointc_{1}
6. Polar(E, c) → r
7. Point(Circle[E, a]) → K
8. Segment(E, K) → g
9. Mirror(K, f) → K'
10. Polygon(K', K, 4) → poly1, l, m, n, p, L, M
11. Point(Circle[E, b]) → C
12. Segment(E, C) → h
13. Mirror(C, f) → C'
14. Polygon(C', C, 4) → poly2, i, k, q, s, D, F
15. Intersect(f, q) → J
16. Midpoint(J, E) → N
17. Circle(N, J) → d
18. Mirror(d, r) → d'
19. Intersect(d', f, 1) → O
20. Midpoint(O, H) → P
21. Midpoint(P, E) → Q
22. Circle(Q, P) → e
23. Intersect(f, n) → R
24. Intersect(f, q) → S
25. Midpoint(R, S) → T
26. Midpoint(K', C') → U
27. Midpoint(C, K) → V
28. Polygon(U, V, 4) → poly3, t, f_1, g_1, h_1, W, Z
29. Segment(S, R) → i_1
30. Segment(O, H) → j_1
31. Circumference(e) → circumferencee
32. PointIn(e) → Pointe
33. Perimeter(poly3) → perimeterpoly3
34. PointIn(poly3) → Pointpoly3
35. PointIn(poly1) → Pointpoly1_{1}
36. PointIn(poly2) → Pointpoly2
37. Area(c) → j
38. PointIn(c) → Pointc_{2}
39. PointIn(poly1) → Pointpoly1
40. PointIn(c) → Pointc_{3}
41. Area(d) → u
42. PointIn(d) → Pointd
43. Area(d') → v
44. PointIn(d') → Pointd'
45. Area(c) → o
46. PointIn(c) → Pointc
47. Area(c) → summac
48. Area(c) → areaofc
49. Area(d') → areaofd'
50. Segment(A_1, B_1) → k_1
51. Segment(C_1, D_1) → l_1