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Bernini - Sant'Andrea al Quirinale Example

Bernini - Sant'Andrea al Quirinale Example
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2022-07-20 14:02
Probability & StatisticsTransformationGeometric Construction
In collections circles, ovals, ellipses and architecture
This example demonstrates the geometric structure of Bernini's Sant'Andrea al Quirinale. It involves core math concepts like Expected Value, Tree Diagrams, Arithmetic, General Quadrilateral, and Similarity Transformation. Constructed using GeoGebra commands and objects such as Point, Circle, Center, CircleArc, Mirror, Line, Intersect, and Distance. Suitable for high school and above mathematics learning and geometric construction teaching.

GeoGebra Commands & Parameters

  1. Point(xAxis) → C
  2. Circle(C, D) → c
  3. Circle(E, F, G) → d
  4. Center(d) → H
  5. Circle(I, J) → e
  6. CircleArc(I, N, OO) → f
  7. CircleArc(H, OO, P) → g
  8. Mirror(N, xAxis) → N'
  9. CircleArc(C, N', N) → h
  10. Line(I, H) → j
  11. Line(C, I) → i
  12. Mirror(i, xAxis) → i'
  13. Mirror(j, xAxis) → j'
  14. Intersect(i', j') → Q
  15. CircleArc(Q, P, N') → k
  16. Distance(O, H) → a
  17. Distance(O, I) → b
  18. Distance(I, H) → l

AI Drawing Prompt Reference

Draw the geometric structure of Bernini's Sant'Andrea al Quirinale. Start by creating point C on the x-axis and drawing circle c with radius CD. Then draw circle d with radius EFG, find its center H. Draw circle e with radius IJ, and draw arc f from I, N, O and arc g from H, O, P. Mirror point N about the x-axis to get N', and draw arc h from I, N', N. Draw line I, H and C, I, then mirror these lines about the x-axis to get i' and j'. Find the intersection Q of i' and j', and draw arc k from Q, P, N'. Measure the distances from O to H (a), I (b), and I to H (l).
The prompt above was compiled from the original drawing commands and is for reference only.