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Wallace-Simson Line and Deltoid

Wallace-Simson Line and Deltoid
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2017-12-24 21:10
TriangleCircleCoordinate Geometry
This example demonstrates the Wallace-Simson line and deltoid. Key mathematical concepts include triangles, circles, and geometric construction. Using GeoGebra commands such as Line, Circle, Point, OrthogonalLine, and Intersect, the deltoid and Wallace-Simson line are constructed. Suitable for high school geometry education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(B, C) → g
  3. Line(C, A) → h
  4. Circle(C, A, B) → c
  5. Point(c) → D
  6. OrthogonalLine(D, h) → i
  7. OrthogonalLine(D, f) → j
  8. OrthogonalLine(D, g) → k
  9. Intersect(h, i) → E
  10. Intersect(f, j) → F
  11. Intersect(g, k) → G
  12. Line(E, F) → l

AI Drawing Prompt Reference

Draw a triangle ABC. Then, draw a circle with point C as the center and points A and B on the circumference. Find a point D on the circle, and draw three perpendicular lines from D to the sides BC, CA, and AB. These lines intersect the sides at points E, F, and G, respectively. Finally, connect points E and F to form the Wallace-Simson line.
The prompt above was compiled from the original drawing commands and is for reference only.