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Double Inequality

Double Inequality
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2020-02-08 01:03
InequalityGeometric ConstructionSlider Animation
In collections Everything you want to know about inequalities without ever Everything you Want to Know about Inequalities (D Mentrard)
This example demonstrates the concept of double inequalities. It involves core mathematical concepts of inequalities and uses GeoGebra commands such as Mirror, Segment, Point, etc., for geometric construction. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Mirror(D, A) → D'
  2. Segment(D', D) → b
  3. Point(b) → C
  4. Segment(D', C) → a
  5. Point(a) → B
  6. Distance(A, B) → d
  7. Circle(C_1, dis / 2) → e
  8. Line(C_1, xAxis) → f
  9. Intersect(e, f) → E, F
  10. Vector(C_1, F) → u
  11. Sequence(Translate[A, Vector[(i * u)]], i, (-c), c) → L1
  12. Segment(B, C) → g
  13. Midpoint(B, C) → G
  14. Sequence(Circle[Element[L1, i], h], i, 0, (2 * c)) → liste1
  15. Sequence(Line[Element[L1, i], yAxis], i, 0, (2 * c)) → liste2
  16. Sequence(Intersect[Element[liste1, i], Element[liste2, i], 1], i, 0, (2 * c)) → liste3
  17. Sequence(Intersect[Element[liste1, i], Element[liste2, i], 2], i, 0, (2 * c)) → liste4
  18. Sequence(Segment[Element[liste3, i], Element[liste4, i]], i, 0, (2 * c)) → liste5
  19. Point(a) → H
  20. Sequence(Translate[B, Vector[(v * i)]], i, 1, 50, AxisStepX[]) → liste6
  21. Sequence(Translate[C, Vector[((-v) * i)]], i, 1, 50, AxisStepX[]) → liste7
  22. Sequence(Translate[C + ((-p), (-p)), Vector[((-v) * i)]], i, 1, 50, AxisStepX[]) → liste9
  23. Sequence(Translate[C + (p, p), Vector[((-v) * i)]], i, 1, 50, AxisStepX[]) → liste8
  24. Sequence(Segment[Element[liste8, i], Element[liste9, i]], i, 1, 50) → liste10
  25. Sequence(Translate[B + ((-p), (-p)), Vector[(v * i)]], i, 1, 50, AxisStepX[]) → liste11
  26. Sequence(Translate[B + (p, p), Vector[(v * i)]], i, 1, 50, AxisStepX[]) → liste12
  27. Sequence(Segment[Element[liste11, i], Element[liste12, i]], i, 1, 50) → liste13
  28. Mirror(M, I) → M'
  29. Mirror(N, J) → N'
  30. Mirror(O, K) → O'
  31. Mirror(P, L) → P'
  32. Segment(J, I) → i
  33. Segment(K, L) → j
  34. Segment(M, I) → k
  35. Segment(N, J) → l
  36. Segment(K, O') → r
  37. Segment(K, O) → s
  38. Segment(L, P') → t
  39. Segment(L, P) → a_1
  40. Segment(I, M') → q
  41. Segment(J, N') → m

AI Drawing Prompt Reference

Draw a geometric illustration to demonstrate the concept of double inequalities, involving a line segment and two points, obtained through mirroring and distance calculations, intersecting a circle with a line to get two points, and then using vectors and translations to construct a series of curves and segments, showing the geometric meaning of inequalities.
The prompt above was compiled from the original drawing commands and is for reference only.