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Borromini's San Carlo Plan

Borromini's San Carlo Plan
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2022-07-20 14:07
CirclePolygonGeometric Construction
In collections circles, ovals, ellipses and architecture
This example demonstrates the plan of the San Carlo church designed by architect Borromini in Rome. Key mathematical concepts include geometric construction and coordinate geometry. It uses commands such as Point, Circle, Ray, Intersect, CircleArc, Polygon, Segment, and LineBisector. Suitable for high school mathematics education and learning plane geometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → C
  2. Point(xAxis) → D
  3. Circle(C, O) → c
  4. Circle(D, O) → d
  5. Point(yAxis) → E
  6. Point(yAxis) → F
  7. Ray(F, C) → f
  8. Ray(F, D) → g
  9. Ray(E, C) → h
  10. Ray(E, D) → i
  11. Intersect(c, f, 2) → G
  12. Intersect(d, g) → H, I
  13. Intersect(c, h, 1) → J
  14. Intersect(d, i, 1) → K
  15. CircleArc(C, G, J) → e
  16. CircleArc(D, K, I) → k
  17. CircleArc(F, I, G) → p
  18. CircleArc(E, J, K) → q
  19. Polygon(C, D, E) → driehoek1, e_1, c_1, d_1
  20. Point(xAxis) → L
  21. Point(xAxis) → Q
  22. Segment(E, Q) → l
  23. Segment(E, L) → m
  24. Segment(L, F) → n
  25. Segment(F, Q) → jj
  26. Circle(P, L) → r
  27. Circle(M, N) → s
  28. Circle(R, O) → t
  29. Circle(T, S) → f_1
  30. Circle(O, G) → g_1
  31. LineBisector(V, U) → i_1
  32. LineBisector(V, U) → j_1
  33. LineBisector(V, U) → h_1
  34. LineBisector(U, W) → k_1
  35. LineBisector(W, Z) → l_1
  36. Point(h_1) → A_1
  37. CircleArc(A_1, U, V) → p_1
  38. Point(l_1) → B_1
  39. CircleArc(B_1, Z, W) → q_1
  40. Point(k_1) → C_1
  41. CircleArc(C_1, U, W) → r_1
  42. Intersect(p_1, h_1) → D_1,
  43. Intersect(r_1, k_1) → E_1,
  44. Intersect(q_1, l_1, 1) → F_1
  45. Segment(A_1, V) → m_1
  46. Segment(A_1, D_1) → n_1
  47. Segment(A_1, U) → s_1
  48. Segment(U, C_1) → t_1
  49. Segment(C_1, W) → a_1
  50. Segment(W, B_1) → b_1
  51. Segment(B_1, Z) → f_2

AI Drawing Prompt Reference

Draw a geometric construction consisting of a circle and a triangle. The circle has its center at the origin, and two points are on the x-axis. Draw rays from these points and intersect them with the circle to get two points. Then construct a triangle using these points and add line segments and arcs to connect them. Keep the diagram simple and clear.
The prompt above was compiled from the original drawing commands and is for reference only.