Gal 3: Circle Chain Geometry Demo

GeoGebra Commands & Parameters

1. Point(yAxis) → A_0
2. Point(Circle[A_0, (2 * r)]) → A_1
3. Segment(A_0, A_1) → f
4. Point(Circle[A_1, (2 * r)]) → A_2
5. Segment(A_1, A_2) → g
6. Point(Circle[A_2, (2 * r)]) → A_3
7. Segment(A_2, A_3) → h
8. Point(Circle[A_3, (2 * r)]) → A_4
9. Segment(A_3, A_4) → i
10. Point(Circle[A_4, (2 * r)]) → A_5
11. Segment(A_4, A_5) → j
12. Point(Circle[A_5, (2 * r)]) → A_6
13. Segment(A_5, A_6) → k
14. Point(Circle[A_6, (2 * r)]) → A_7
15. Segment(A_6, A_7) → l
16. Point(Circle[A_7, (2 * r)]) → A_8
17. Segment(A_7, A_8) → m
18. Point(Circle[A_8, (2 * r)]) → A_9
19. Segment(A_8, A_9) → n
20. Point(Circle[A_9, (2 * r)]) → A_{10}
21. Segment(A_9, A_{10}) → p
22. Point(Circle[A_{10}, (2 * r)]) → A_{11}
23. Segment(A_{10}, A_{11}) → q
24. Point(Circle[A_{11}, (2 * r)]) → A_{12}
25. Segment(A_{11}, A_{12}) → s
26. Point(Circle[A_{12}, (2 * r)]) → A_{13}
27. Segment(A_{12}, A_{13}) → t
28. Point(Circle[A_{13}, (2 * r)]) → A_{14}
29. Segment(A_{13}, A_{14}) → a
30. Circle(A_0, (2 * r)) → d
31. Circle(A_{14}, (2 * r)) → e
32. Intersect(d, e) → B, A_{15}, ,
33. Segment(A_{15}, A_{14}) → b
34. Segment(A_{15}, A_0) → c
35. Circle(A_0, r) → c_1
36. Circle(A_1, r) → d_1
37. Circle(A_2, r) → e_1
38. Circle(A_3, r) → f_1
39. Circle(A_4, r) → g_1
40. Circle(A_5, r) → h_1
41. Circle(A_6, r) → k_1
42. Circle(A_7, r) → p_1
43. Circle(A_8, r) → q_1
44. Circle(A_9, r) → r_1
45. Circle(A_{11}, r) → s_1
46. Circle(A_{10}, r) → t_1
47. Circle(A_{12}, r) → c_2
48. Circle(A_{13}, r) → d_2
49. Circle(A_{14}, r) → e_2
50. Circle(A_{15}, r) → f_2
51. Intersect(e_1, g) → A,
52. Intersect(d_1, f) → C,
53. Intersect(c_1, c) → D,
54. Intersect(f_2, b) → E,
55. Intersect(e_2, a) → F,
56. Intersect(d_2, t) → G,
57. Intersect(c_2, s) → H,
58. Intersect(s_1, q) → I,
59. Intersect(t_1, p) → J,
60. Intersect(r_1, n) → K,
61. Intersect(q_1, m) → L,
62. Intersect(p_1, l) → M,
63. Intersect(k_1, k) → N,
64. Intersect(h_1, j) → O,
65. Intersect(f_1, i) → P,
66. Intersect(f_1, h) → Q,
67. CircleSector(A_0, C, D) → g_2
68. CircleSector(A_1, A, C) → h_2
69. CircleSector(A_2, Q, A) → k_2
70. CircleSector(A_3, P, Q) → p_2
71. CircleSector(A_4, O, P) → q_2
72. CircleSector(A_5, N, O) → r_2
73. CircleSector(A_6, M, N) → s_2
74. CircleSector(A_7, L, M) → t_2
75. CircleSector(A_8, K, L) → c_3
76. CircleSector(A_9, J, K) → d_3
77. CircleSector(A_{10}, I, J) → e_3
78. CircleSector(A_{11}, H, I) → f_3
79. CircleSector(A_{12}, G, H) → g_3
80. CircleSector(A_{13}, F, G) → h_3
81. CircleSector(A_{14}, E, F) → k_3
82. CircleSector(A_{15}, D, E) → p_3