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Goya's Women: Las majas

Goya's Women: Las majas
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2023-03-20 19:42
PolygonCoordinate GeometryGeometric Construction
In collections geometriadinamica.es
This example demonstrates a geometric representation of Goya's women, showcasing the application of geometric shapes. The core mathematical concepts involved include geometric shapes, coordinate geometry, and geometric construction. The construction involves using GeoGebra commands: Line, Point, OrthogonalLine, Intersect, Circle, Midpoint, Mirror, Polygon, Segment. This example is suitable for middle school or high school students learning geometric shapes and coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(A, T) → a
  2. Point(a) → B
  3. OrthogonalLine(A, a) → b
  4. Line(A, C) → c
  5. Line(A, B) → d
  6. OrthogonalLine(C, c) → e
  7. OrthogonalLine(B, d) → f
  8. Intersect(e, f) → D
  9. Circle(D, C) → p
  10. Intersect(p, f) → E, F
  11. Circle(C, D) → q
  12. Intersect(q, c, 1) → G
  13. Midpoint(A, B) → H
  14. Midpoint(A, C) → I
  15. Midpoint(B, D) → J
  16. Midpoint(C, D) → K
  17. Mirror(G, I) → L
  18. Mirror(E, J) → M
  19. Polygon(C, G, E, D) → poly1, c_1, g_1, e_1, d_1
  20. Segment(K, H) → n
  21. Segment(K, A) → r
  22. Segment(K, B) → s
  23. Segment(C, H) → t
  24. Segment(C, B) → a1
  25. Segment(C, E) → b1
  26. Segment(D, G) → c1
  27. Segment(D, A) → d1
  28. Segment(D, H) → e1
  29. Polygon(A, B, M, L) → poly2, a_1, b_1, m_1, l_1
  30. Segment(A, M) → f1
  31. Segment(B, L) → g1

AI Drawing Prompt Reference

Start with a point and draw two rays from it. Pick a point on one ray)Skip, and draw perpendiculars from that point and from a point on the other ray; their intersection gives a fourth point. Use this intersection as center to draw a circle through the first point, meeting the perpendicular at two points. Then draw another circle centered at the second point through that intersection, meeting the ray at one point. Take midpoints of several segments, and reflect the intersection point across these midpoints to get new points. Connect all these points to form two polygons, and draw additional segments linking vertices to midpoints, creating a symmetric geometric composition.
The prompt above was compiled from the original drawing commands and is for reference only.