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Sum of Line Segments by Sarah Sheley

Sum of Line Segments by Sarah Sheley
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2016-10-03 02:43
VectorTrigonometrySolid GeometryComplex NumberGeometric Construction
This example demonstrates the calculation and visualization of the sum of multiple line segments in three-dimensional space. It involves core mathematical concepts such as line segments, vectors, complex numbers, trigonometry, and differential equations. The construction uses GeoGebra commands and objects like Segment, Circle, Point, Intersect, Distance, and Midpoint. Suitable for high school students and math enthusiasts to understand spatial geometry and vector operations.

GeoGebra Commands & Parameters

  1. Segment(P, G) → i
  2. Circle(B, 5) → c
  3. Point(c) → A
  4. Segment(B, A) → f
  5. Circle(P, 5) → d
  6. Intersect(d, i, 1) → H
  7. Circle(C, 4) → e
  8. Circle(H, 4) → k
  9. Point(e) → D
  10. Segment(C, D) → g
  11. Intersect(k, i, 2) → I
  12. Circle(E, 3) → h
  13. Point(h) → F
  14. Segment(E, F) → j
  15. Circle(I, 3) → p
  16. Intersect(p, i, 2) → Q
  17. Distance(B, A) → distanceBA
  18. Midpoint(B, A) →
  19. Distance(P, H) → distancePH
  20. Midpoint(P, H) →
  21. Distance(C, D) → distanceCD
  22. Midpoint(C, D) →
  23. Distance(H, I) → distanceHI
  24. Midpoint(H, I) →
  25. Distance(E, F) → distanceEF
  26. Midpoint(E, F) →
  27. Distance(I, Q) → distanceIQ
  28. Midpoint(I, Q) →