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Rectangle Rounding

Rectangle Rounding
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2017-12-07 08:19
VectorGeometric ConstructionLocus
This example demonstrates how to transform a rectangle into a rounded rectangle using vector operations and geometric transformations. Key mathematical concepts include vectors, geometric transformations, and loci. It utilizes commands such as Vector, Circle, OrthogonalLine, Intersect, Midpoint, Angle, Segment, Polygon, Rotate, Textfield, and Locus in GeoGebra. Suitable for middle school and above students to learn about geometric transformations and loci.

GeoGebra Commands & Parameters

  1. Vector((0, 0), (w, 0)) → u
  2. Vector((0, 0), (0, l)) → v
  3. Circle(B, l) → e
  4. Circle(B, w) → d
  5. OrthogonalLine(B, xAxis) → g
  6. Intersect(e, g, 2) → D
  7. OrthogonalLine(B, yAxis) → f
  8. Intersect(d, f, 1) → C
  9. Midpoint(D, C) → F
  10. Angle(G, A, F) → α
  11. Segment(A, F) → j
  12. Circle(A, r) → c
  13. Circle(C, l) → h
  14. OrthogonalLine(C, f) → i
  15. Intersect(h, i, 1) → E
  16. Polygon(B, D, E, C) → q1, b, d_1, e_1, c_1
  17. Polygon(L_1) → q2
  18. Rotate(G, angle(t)) → G'
  19. Textfield(P) → InputBox1
  20. Textfield(w) → InputBox2
  21. OrthogonalLine(TraceL, xAxis) → k
  22. Intersect(k, xAxis) → J
  23. Segment(TraceL, J) → m
  24. Locus(TraceL, t) → loc1
  25. Locus(F, t) → loc2
  26. OrthogonalLine(K, xAxis) → n
  27. OrthogonalLine(K, yAxis) → s
  28. Segment(K, N) → a
  29. Segment(K, L) → f_1
  30. Textfield(t) → InputBox3