Circle Surrounding a Rectangle Surrounding an Ellipse

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. Point(yAxis) → C
3. Point(xAxis) → B
4. Circle(A, Segment[B, C]) → c
5. Intersect(c, xAxis, 1) → A_1
6. OrthogonalLine(B, xAxis) → f
7. OrthogonalLine(C, yAxis) → g
8. Intersect(c, f, 2) → D
9. Circle(C, D) → d
10. Intersect(d, xAxis, 1) → E
11. Intersect(d, xAxis, 2) → F
12. Ellipse(E, F, C) → e
13. Rotate(A_1, (-Rotation), A) → G
14. Tangent(G, e) → h, i
15. Intersect(c, h, 2) → H
16. OrthogonalLine(H, h) → j
17. Intersect(c, i, 2) → I
18. OrthogonalLine(I, i) → k
19. Intersect(c, j, 2) → J
20. Intersect(e, j, 1) → K
21. Intersect(e, h, 1) → L
22. Intersect(e, k, 1) → M
23. Intersect(e, i, 1) → N
24. Polygon(A, B, C) → d1, c_1, r, b
25. Segment(A, G) → l
26. Segment(H, G) → m
27. Segment(G, I) → n
28. Segment(I, J) → p
29. Segment(H, J) → q
30. Intersect(c, f, 2) → O
31. Circle(B, O) → s
32. Rotate(e, Rotation, A) → e'
33. Tangent(G, e') → m_1, n_1
34. Intersect(c, n_1) → B_1, C_1
35. Line(C_1, m_1) → p_1
36. Intersect(c, m_1) → D_1, E_1
37. Intersect(c, p_1) → F_1, G_1
38. Polygon(G, C_1, G_1, E_1) → q1, g_2, q_1, r_1, e_1
39. Polygon(G, C_1, G_1, E_1) → q2, g_1, t, a, f_1
40. Rotate(e, Rotation, A) → e'_{1}
41. Circle(A, Segment[B, C]) → d_1