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St Peters Square as an ellipse

St Peters Square as an ellipse
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2022-07-21 15:04
Coordinate GeometryGeometric Construction
In collections circles, ovals, ellipses and architecture
This example demonstrates the geometric relationship between the St Peters Square and an ellipse. Key mathematical concepts include ellipse, linear regression, right triangles, calculus, and statistics. Construction involves GeoGebra commands such as Point, LineBisector, Circle, Mirror, Intersect, Line, CircleArc, Ray, Polygon, and Ellipse. Suitable for middle or high school mathematics education to understand geometric transformations and properties.

GeoGebra Commands & Parameters

  1. Point(xAxis) → E
  2. LineBisector(C, E) → f
  3. LineBisector(E, D) → g
  4. Circle(F, E) → c
  5. Mirror(c, yAxis) → c'
  6. Intersect(c, c', 2) → G
  7. Intersect(c, c', 1) → H
  8. Point(xAxis) → I
  9. Line(F, G) → h
  10. Line(I, G) → i
  11. Line(I, H) → j
  12. Line(H, F) → k
  13. Intersect(c', j, 2) → J
  14. Intersect(c, k) → K, L
  15. Intersect(c', i, 2) → M
  16. Intersect(c, h) → N, O
  17. CircleArc(F, O, L) → d
  18. CircleArc(I, J, M) → e
  19. CircleArc(H, L, J) → p
  20. CircleArc(G, M, O) → q
  21. Ray(G, M) → l
  22. Ray(G, O) → m
  23. Ray(H, L) → n
  24. Ray(H, J) → r
  25. Polygon(G, I, F) → driehoek1, f_1, g_1, i_1
  26. Line(I, F) → s
  27. Line(G, H) → t
  28. Point(d) → P
  29. Ray(F, P) → h_1
  30. Intersect(p, t, 1) → Q
  31. Intersect(e, s) → R,
  32. Mirror(R, t) → R'
  33. Circle(Q, x(R')) → c_1
  34. Intersect(c_1, s) → S, T
  35. Ellipse(S, T, O) → d_1

AI Drawing Prompt Reference

Draw an ellipse related to a square (St Peters Square). Key objects include the square, ellipse, circles, reflected lines, intersection points, rays, arcs, and triangles. The construction order: start from a point on the square, draw circles and reflected lines, find intersection points, draw rays and arcs, and finally form the ellipse.
The prompt above was compiled from the original drawing commands and is for reference only.