MathPlotAI Logo MathPlotAI

Conopial Arc

Conopial Arc
Loading the math board and drawing, please wait…
2023-03-17 22:09
CircleIntegralGeometric Construction
In collections geometriadinamica.es
The Conopial Arc is a special type of circular arc used to demonstrate geometric and geometric construction concepts. This example uses GeoGebra commands and objects, including Segment, Midpoint, Line, Circle, Intersect, etc., to construct and display the properties of the Conopial Arc. This example is suitable for middle school and high school students learning geometric and geometric construction concepts, particularly the properties of circular arcs and circles.

GeoGebra Commands & Parameters

  1. Segment(D, B) → e
  2. Midpoint(C, D) → D_1
  3. Segment(C, D_1) → l_2
  4. Midpoint(C, D) → F
  5. Line(F, e) → k
  6. Circle(C, i) → p_3
  7. Intersect(p_3, l_2) → E_1, L_1
  8. Circle(E_1, C) → e_4
  9. Line(E_1, k) → a_3
  10. Intersect(e_4, a_3, 1) → H_1
  11. OrthogonalLine(H_1, k) → i_3
  12. Intersect(k, i_3) → I_1
  13. Circle(H_1, I_1) → f_4
  14. If(zz < 0, 10, zz) → j
  15. Intersect(f_4, a_3, 1) → J_1
  16. Min(1.5707963267948966, ((j - 5) * 3.14 / 6)) → aaa
  17. Circle(F, i) → p
  18. Segment(A, C) → d
  19. Segment(C, F) → r
  20. Mirror(D, k) → D'_1
  21. Midpoint(C, D) → K
  22. Segment(K, C) → h_1
  23. Mirror(C, k) → C'_4
  24. Midpoint(C, C'_4) → U
  25. Circle(U, D) → p_2
  26. Rotate(C, Max[300.00000000000006°, ((-(c - 2)) * 180 / 3 / (3.14°))], F) → C'
  27. Segment(C', F) → l
  28. CircleArc(F, C', C) → f_3
  29. Mirror(F, k) → F'
  30. Mirror(C', k) → C''
  31. Mirror(C, k) → C'_1
  32. Arc(Mirror[Circle[F, C'], k], C'', C'_1) → g_3
  33. Mirror(C', k) → C''_1
  34. Mirror(F, k) → F'_1
  35. Segment(C''_1, F'_1) → l'
  36. Intersect(d, e) → C_1
  37. Circle(E_1, C) → q_3
  38. Rotate(C, Max[270°, ((-(j - 2)) * 90 / (3°))], E_1) → C'_5
  39. Segment(C'_5, E_1) → m_2
  40. CircleArc(E_1, C'_5, C) → r_3
  41. Mirror(E_1, k) → F_1
  42. Mirror(C'_5, k) → G_1
  43. Mirror(C, k) → C'_6
  44. Arc(Mirror[Circle[E_1, C'_5], k], G_1, C'_6) → s_3
  45. Segment(F_1, G_1) → n_2
  46. Circle(E_1, D_1) → t_3
  47. Rotate(H_1, aaa, J_1) → K_1
  48. CircleArc(J_1, H_1, K_1) → g_4
  49. Segment(J_1, K_1) → j_3
  50. Mirror(J_1, k) → M_1
  51. Mirror(H_1, k) → N_1
  52. Mirror(K_1, k) → O_1
  53. Arc(Mirror[Circle[J_1, H_1], k], N_1, O_1) → h_4
  54. Mirror(J_1, k) → P_1
  55. Mirror(K_1, k) → Q_1
  56. Segment(P_1, Q_1) → l_3
  57. Segment(T1, T) → m_3
  58. Mirror(D, m_3) → D'
  59. Mirror(B, m_3) → B'
  60. Segment(D', B') → e'
  61. Mirror(A, m_3) → A'
  62. Mirror(C, m_3) → C'_7
  63. Segment(A', C'_7) → d'
  64. Vector(A, B') → w_1
  65. Translate(pic1, w_1) → pic1'
  66. Translate(pic1, w_1) → pic1'_1

AI Drawing Prompt Reference

Draw a circle with center C and a chord DC. Find the midpoint D1 of DC and draw a line segment l2 from D1. Construct the perpendicular bisector k of line segment e, and draw a circle p3 with center C that intersects l2 at E1 and L1. Draw a circle e4 with center E1 that intersects line k at H1, and draw a perpendicular line i3 from H1 to k, intersecting at I1. Draw a circle f4 with center H1 and I1. Adjust the intersection J1 of circle f4 and line a3. Draw a circle p with center F that intersects line segment d at C1. Draw a circle q3 with center E1, rotate C to C', and draw arc f3 with center F. Draw arc g3 with center F', arc s3 with center C', and arc g4 with center H1, adjusting the start and end points of arc g4.
The prompt above was compiled from the original drawing commands and is for reference only.