整数平方根的几何构造演示

GeoGebra 命令及参数

1. Point(f) → B
2. Segment(A, B) → g
3. OrthogonalLine(A, f) → h
4. Point(h) → C
5. CircleArc(A, B, C) → c
6. Intersect(c, h, 1) → D
7. Segment(D, A) → j
8. Angle(B, A, D) → α
9. OrthogonalLine(D, h) → i
10. Vector(A, B) → u
11. Translate(D, u) → D'
12. Translate(A, u) → A'
13. Segment(D', A') → j'
14. Segment(A, D') → k
15. Circle(A, D') → d
16. Polygon(D', B, A) → t1, a_1, d', b_1
17. Intersect(d, f, 2) → E
18. CircleArc(A, E, D') → e
19. Vector(A, E) → v
20. Translate(D, v) → D'_{1}
21. Translate(A, v) → A'_{1}
22. Segment(D'_{1}, A'_{1}) → j'_{1}
23. Segment(A, D'_{1}) → l
24. Circle(A, D'_{1}) → p
25. Intersect(p, f, 2) → F
26. CircleArc(A, F, D'_{1}) → q
27. Vector(A, F) → w
28. Translate(D, w) → D'_{2}
29. Translate(A, w) → A'_{2}
30. Segment(D'_{2}, A'_{2}) → j'_{2}
31. Segment(A, D'_{2}) → m
32. Circle(A, D'_{2}) → r
33. Intersect(r, f, 2) → G
34. CircleArc(A, G, D'_{2}) → s
35. Vector(A, G) → a
36. Translate(D, a) → D'_{3}
37. Translate(A, a) → A'_{3}
38. Segment(D'_{3}, A'_{3}) → j'_{3}
39. Segment(A, D'_{3}) → n
40. Polygon(D'_{3}, A, G) → t2, g_1, d'_{3}, a_2
41. Circle(A, D'_{3}) → t
42. Intersect(t, f, 2) → H
43. CircleArc(A, H, D'_{3}) → c_1
44. Vector(A, H) → b
45. Translate(D, b) → D'_{4}
46. Translate(A, b) → A'_{4}
47. Segment(D'_{4}, A'_{4}) → j'_{4}
48. Segment(A, D'_{4}) → f_1
49. Circle(A, D'_{4}) → d_1
50. Intersect(d_1, f, 2) → I
51. CircleArc(A, I, D'_{4}) → e_1