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Yavuz Sultan Selim Han Geometry Example

Yavuz Sultan Selim Han Geometry Example
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2020-01-27 15:11
CirclePolygonTransformationGeometric Construction
This example demonstrates geometric constructions and properties of polygons, involving core concepts like circles, polygons, symmetry, and geometric transformations. It uses commands such as Circle, Point, Line, Intersect, Segment, Rotate, Angle, Semicircle for construction, suitable for high school students and teachers for learning and teaching demonstrations.

GeoGebra Commands & Parameters

  1. Circle(A, a) → c
  2. Point(c) → B
  3. Line(A, B) → f_1
  4. Intersect(c, f_1, 2) → C
  5. Segment(B, C) → g
  6. Rotate(B, 90°, A) → B'
  7. Angle(B, A, B') → α
  8. Line(B', A) → h
  9. Intersect(c, h, 2) → D
  10. Segment(B', D) → i
  11. Point(Circle[A, d]) → E
  12. Segment(A, E) → j
  13. Segment(D, E) → k
  14. Segment(B, E) → l
  15. Segment(B', E) → m
  16. Segment(C, E) → n
  17. Semicircle(B', E) → e
  18. Semicircle(C, E) → f
  19. Semicircle(D, E) → p
  20. Semicircle(B, E) → q

AI Drawing Prompt Reference

Draw a circle, then select points A and B on the circle, connect A and B, and find point C where the line intersects the circle. Connect B and C. Rotate point B 90 degrees around point A to get point B', calculate the angle α between B and B', and connect B' and A, finding point D where the line intersects the circle. Select point E on the circle, connect A and E, B' and E, C and E, D and E, B and E, B' and E, and C and E, and draw semicircles with these points as endpoints.
The prompt above was compiled from the original drawing commands and is for reference only.